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X(1), X(8), X(188), X(979) 

K157 = pK(X9, X1) is a member of the classes CL009 of cubics hence it has three asymptotes concurring at G. See also Table 37. For any point P on the cubic, there is a pK with same pole X(9) having its asymptotes parallel to the cevians of P. For example, with P = X(8), the required cubic is K201 = pK(X9, X145). The isogonal transform of K157 is pK(X604, X56) and its isotomic transform is pK(X85, X7). 
