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∑ a^2 (a^6 - b^6 - c^6 + a^2 b^2 c^2) x (c^4 y^2 - b^4 z^2) = 0

X(3), X(6), X(25), X(2076), X(5989), X(6660), X(8852), X(10329), X(14370), X(17798)

vertices of the tangential triangle

vertices of the cevian triangle of X(6660)

Geometric properties :

K1001 is the isogonal transform of K1000.

K1001 is also the barycentric product X(6) x K1000.

It is a cubic anharmonically equivalent to K020 as in Table 66.