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

X(2), X(4), X(69), X(147), X(1031), X(2896), X(4388), X(4645), X(5207), X(7224), X(7261), X(7779), X(9473), X(11606)

vertices of the antimedial triangle

vertices of the cevian triangle of X(5207)

Geometric properties :

K1000 is the anticomplement of K252, the isogonal transform of K1001.

K1002 is a weak cubic which is transformed into the strong cubic K1000 under SS{a -> a^2}.

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