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X(3), X(13), X(14), X(54), X(96), X(265), X(539), X(1141), X(1157)

K112 is the inversible circular pK with pole X(11077), pivot X(1141), invariant in the isoconjugation which swaps O and X(1141). It is a circular cubic with singular focus X(14656) = Psi(X54). See Special isocubics ยง4.4.3. See also Inverses of Isocubics.

It is also the orthopivotal cubic O(X54). See the FG paper "Orthocorrespondence and orthopivotal cubics" in the Downloads page and Orthopivotal cubics in the glossary.

K112 is a member of the class CL032 of cubics.

The isogonal transform of K112 is K050, the Neuberg orthic cubic.