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X(15), X(16), X(17), X(18), X(95), X(98), X(125), X(182) 

K468 is the isogonal transform of the orthopivotal cubic K062 = O(X51). K468 is the only circular cubic that contains the isodynamic points X(15), X(16) and the Napoleon points X(17), X(18). Its real asymptote is parallel to the line X(17), X(18). The singular focus is X(14671). K468 belongs to the pencil of cubics generated by K062 and K270. See the related cubic K469. 
