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K506

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X(2), X(6), X(7), X(8), X(21), X(55), X(56), X(65), X(672), X(673), X(1193), X(1220), X(4185)

X(4185) = E3 on the Euler line and on X(6)-X(65)

E3* its isogonal conjugate, on the lines X(6)X(21) and X(2)X(65), on the Jerabek hyperbola

K506 is a remarkable isogonal nK cubic that contains quite a few very common centers. It is a member of the class CL061.

Its root X(14612) lies on the lines X99-X1415, X101-X514, X108-X648, X109-X190, etc.