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too complicated to be written here. Click on the link to download a text file.

X(13), X(14)

foci F1, F2 of Steiner inscribed ellipse (one on each curve)

O(F1) and O(F2) are orthopivotal central cubics with orthopivots the foci of the Steiner inscribed ellipse. See the FG paper "Orthocorrespondence and orthopivotal cubics" in the Downloads page and Orthopivotal cubics in the glossary.