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X(523)

K218 is the nK0 with pole X(115), the center of the Kiepert hyperbola and root X(1648), intersection of the lines X(2)X(6), X(115)X(125).

K218 is a trident with flex X(523) at infinity, a member of the class CL029.

The real asymptote is perpendicular to the Euler line. Hence, K218 is in fact cK0(#X523, X1648) with pivotal conic a parabola (see Special Isocubics §8).