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X(1), X(79) vertices of incentral triangle = cevian triangle of X(1) 

(see Special isocubics ยง6). The pK with pivot P is a pK60+ if and only if P lies on the Neuberg cubic. Its pole lies on the cubic Co. When the pivot is X(1), the pole is X(2160) = [ a/(2SA + bc) : : ] and we find K097, a member of the class CL006 of cubics. See also Table 37. The common point of the asymptotes is X = X(14844). 
