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X(13), X(14), X(15), X(16), X(32), X(83), X(729), X(754)

K291 is the orthopivotal cubic with orthopivot X(32), the third power point. See the FG paper "Orthocorrespondence and orthopivotal cubics" in the Downloads page and Orthopivotal cubics in the glossary.

The singular focus is X(14660) = Psi(X32).

It is the isogonal transform of K290. K290 and K291 are members of the Evans pencil = CL034.