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X(6), X(69), X(193), X(253), X(264), X(393), X(1249), X(2998), X(3164), X(3186) P (pivot) = X(4) x X(1975) = X(9308) Q (isopivot) = isotomic conjugate of X(1975) = X(9307) vertices of the cevian triangle of X(9308) trilinear poles of the directrices of the Artzt parabolas, see X(9742) in ETC and also K676 

We meet this cubic in the paper McCay Stelloids. Its isogonal transform is K1009 = pK(X184, X9306) and its isotomic transform is K1010 = pK(X69, X1975). See also the related K1011. 
