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X(3), X(4), X(56), X(64), X(945), X(3149), X(5687), X(10306)

infinite points of the altitudes

ZaZbZc : pedal triangle of Z

points of pK(X6, X3149) on (O)

This cubic (contributed by Peter Moses) is related with Table 58.

K844 is the isogonal pK with pivot H with respect to the triangle Q1Q2Q3 whose vertices are the intersections of (O) and pK(X6, X3149).

Z = X(14925) is the intersection of the lines X3, X64 and X56, X945.

K844 = spK(X20, Q) with Q = midpoint (X20, X3149) as in CL055.