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X(4), X(15), X(16), X(54), X(140), X(1263), X(2070), X(3459), X(14627)
The Neuberg cubic K001 and the Neuberg Orthic cubic K050 generate a pencil of circular cubics which contains a third pK : this is K439. See also Neuberg cubics.
The singular focus is X(14668).
K439 is the isogonal transform of K067.