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X(1), X(8), X(145), X(188), X(2136), X(3680), X(6553), X(8834)

X(3680) = X(145)* = a (b+c-a) / (b+c-3a) : : , isoconjugate of the pivot = reflection of X(2136) in X(1)

K201 is a central pK with center X(1) incenter, pole X(9) mittenpunkt, pivot X(145) Nagel point of the antimedial triangle.

The tangents at X(1) and X(8) pass through X(9). The asymptotes pass through X(1) and the midpoints of ABC.

The isogonal transform of K201 is pK(X604, X1420) and its isotomic transform is pK(X85, E) where E = (b+c-3a) / [a(b+c-a)] : : .

See K830, K831, two other central cubics with center X(1).