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vertices of antimedial triangle points Ua, Ub, Uc mentioned in the Neuberg cubic page. See also table 16 and table 18. 

Kjp = K024 is the only isogonal nK60+. Its three real asymptotes concur at G and are parallel to the sidelines of the Morley triangle. The locus of pivots of all pKs having the same asymptotic directions as Kjp is K142. It is also a K60 and its three real asymptotes are the sidelines of the circumtangential triangle, hence they are tangent to the circumcircle. This has to be compared to KO++ = K080 where the three real asymptotes are perpendicular to the sidelines of the Morley triangle. See a generalization at CL052. The complement of K142 is K607 and its isogonal transform is K902. 
