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X(1), X(4), X(80), X(92), X(243), X(517), X(917), X(1754)
K683 is a Fuhrmann-Feuerbach cubic, see details at K681 and also K529, K682, K684, K685.
Its singular focus is X(14679), the intersection of the lines X(1)X(5), X(28)X(104).