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X(1), X(6), X(19), X(31), X(48), X(55), X(56), X(204), X(221), X(2192)
vertices of the tangential triangle
K175 is the isogonal transform of K034 = Spieker perspector cubic.
It is the barycentric product X(1) x K002 hence it is anharmonically equivalent to the Thomson cubic. See Table 21. See also Table 37.