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

X(1), X(31), X(75), X(92), X(3113), X(14621), X(17743)

vertices of the cevian triangle of X(3113)

Geometric properties :

K1031 is the isogonal transform of K1015.

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