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X(1), X(9), X(44), X(57), X(88), X(104), X(517), X(2161), X(3218) excenters infinite points of the Mandart circumellipse 

K717 is an isogonal pK related with K716. These two cubics share nine identified points namely A, B, C, X(9), X(57), X(517), X(2161) and the infinite points of the Mandart circumellipse hence they generate a pencil of cubics all passing through these same nine points which contains : • one pK namely K717, • two psKs namely : – psK(X2161, tX3218, X4) with pseudopivot the isotomic conjugate of X(3218) and pseudoisopivot X(6), passing through X(4), X(9), X(35), X(57), X(80), X(321), X(517), X(2161), – psK(X2183, X2, X3), passing through X(3), X(9), X(57), X(517), X(908), X(1145), X(2161), • a cubic decomposed into the line at infinity and the circumconic with perspector X(663). See also the very similar K1055 = pK(X6, X3219). 
