X(2), X(6), X(39), X(194), X(3051)
square roots of X(3051)
vertices of the cevian triangle of K
Any bicevian conic C(P,Q) such that Q = K/P is tangent to the Brocard ellipse. Its center lies on the Brocard axis if and only if P lies on K367 or on K368. In this latter case, the center is always X(39), the Brocard midpoint.
In other words, any bicevian conic C(P,K/P) with P on K368 is bitangent to the Brocard ellipse and is centered at X(39).
K368 is a member of the class CL042.
K368 is the isogonal transform of pK(X83, X83), a member of the class CL007 : pK(W, W) cubics or parallel tripolars cubics.