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∑ a(y  z) y z = 0 

X(1), X(2), X(7), X(9), X(366), X(1489), X(3160), X(7090), X(13388), X(13389), X(14121) A', B', C' : midpoints of ABC 

K363 is the complement of K200, the SoddyGergonneNagel cubic. It is the isogonal transform of pK(X31, X1) and the isotomic transform of pK(X75, X75). It meets the Steiner ellipse at the same points as pK(X2, X1). 
