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

X(4) foci of the Johnson circumconic infinite points of the McCay cubic K003 

K714 is a circumcubic that passes through the foci of the circumconic (C) with center X(5), perspector X(216). (C) is sometimes called the Johnson circumconic and it contains the vertices of the Johnson triangle, the reflection of ABC about X(5). K714 is a stelloid. Its asymptotes are parallel to those of the McCay cubic K003 and concur at X = X(14640). K714 meets : • the line at infinity at the same points as K003 and also K096 = pK(X216, X20), • the circumconic (C) at the same points as pK(X216, X5562). K714 is also a member spK(X3, Q) of CL055 with a complicated corresponding point Q. 
