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X(1), X(6), X(42), X(57), X(239), X(291), X(292), X(672), X(894), X(1477), X(1757), X(1967), X(7077), X(9472), X(9506) 

See Clark Kimberling, Cubics Associated with Triangles of Equal Areas, Forum Geometricorum, vol.1, pp.161171, 2000. The isogonal transform of K135 is K251 = pK(X238, X2) and its isotomic transform is pK(X76 x X350, X76). The barycentric product and quotient of K135 by X(1) are K772 and K769 respectively. K135 is a member of the class CL043 : it meets the circumcircle at A, B, C and three other points where the tangents are concurrent. 
