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X(1), X(4), X(222), X(223), X(269), X(347) foci of the circumconic (C) with center X(223), perspector X(57) vertices of the intouch triangle 

K713 is a circumcubic that passes through the foci of the circumconic (C) with center X(223), perspector X(57). K713 meets : • the line at infinity at the same points as pK(X6, X189), • the circumconic (C) at the same points as pK(X57, X77). Remark : the pseudopole of K713 is the barycentric product of all these pairs of centers : {X7, X221}, {X40, X269}, {X56, X347}, {X57, X223}, {X198, X279}, {X329, X1407}. 
