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X(4), X(550), X(3471)

infinite points of the Napoleon cubic K005

K618 is an example of nodal cubic of Table 43. It is the cubic (K) obtained when P = X(550).

K618 has two nodal tangents at H parallel to the asymptotes of the Jerabek hyperbola and three asymptotes parallel to those of K005.

Note that X(3471) is the nineth common point of K618 and K005, a point on the rectangular hyperbola passing through X(4), X(30), X(477), X(523), X(1138), X(1990).