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K466

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X(3), X(4), X(54), X(1141), X(1157), X(1263), X(2070)

K466 is the isogonal transform of the central cubic K465.

It is a focal cubic with singular focus X(2070) on the Euler line.

It is invariant under H-vertex conjugation. See ETC just below X(3414) and CL050.

The inverse of K466 is K467.

K466 is the locus of pivots of all circular pKs that pass through X(54), the isogonal conjugate of X(5). For example, with pivots X(3), X(54), X(1141), X(1263) we obtain the cubics K073, K373, K112, K439 respectively. See CL035.