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X(2393) reflections A', B', C' of A, B, C in the line X(3)X(647) their isoconjugates on the axis of symmetry 

K335 is an axial pK+ with axis X(3)X(647). One asymptote (always real) is the line KX(25) passing through X(2393), the flex at infinity of the cubic. The two other asymptotes are not necessarily real and all three of them concur at X with rather complicate coordinates. The pole is X(14908) and the pivot P is X(14909). The real asymptote is also the orthic line of the cubic : the polar conic of any of its points is a rectangular hyperbola. The isogonal transform of K335 is a central pK. 
