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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. Its inverse in the circumcircle is K467, two other focal cubics. See Table 73 for properties and other related cubics.

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.

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.

The locus of the isopivots is K1351.