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X(2), X(3), X(4), X(76), X(1352), X(1689), X(1690)

infinite points of the Grebe cubic K102

points of pK(X6, X1352) on the circumcircle

foci of the MacBeath conic (O, H and two other imaginary)

A variable line L passing through X6 is reflected about X5 in L' (passing through X1352). The isogonal transform of L meets L' at two points on K527.

The isogonal transform of K527 is K835 = spK(X1352, X5), two spK cubics as in CL055.