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X(2), X(4), X(5), X(6), X(1166), X(1994), X(40441), X(40393), X(66915)

isogonal conjugates of X(21975), X(62589)

vertices A', B', C' of the cevian triangle of X(40393)

infinite points of pK(X6, X37636)

points Q1, Q2, Q3 on (O) and pK(X6, X1994) with concurring tangents

foci of the inconic with center X(37649), see below

Geometric properties :

The anticevian triangle of P is perspective to the circumcevian triangle of X(5) if and only if P lies on K1409.

K1410 is the isogonal transform of K1409. These two cubics meet at A, B, C, G, K and the four foci of the inconic with center X(37649) and perspector X(40393) which is also inscribed in the triangle Q1Q2Q3.

K1410 meets this inconic at six points namely A', B', C' and R1, R2, R3 on the sidelines of Q1Q2Q3.