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X(2), X(3), X(187), X(1670), X(1671), X(3413), X(3414) Ga, Gb, Gc vertices of the antimedial triangle midpoints of ABC points Ua, Ub, Uc mentioned in the Neuberg cubic page. See also table 16 and table 18. X(3413), X(3414) : points at infinity of the Kiepert hyperbola 

Q052 is a circular quartic with singular focus X(187) which passes through the points Ua, Ub, Uc. It has two real asymptotes parallel to those of the Kiepert hyperbola intersecting at X = 5a^2(b^2+c^2)6b^2c^24a^4 : : , a point on the line X(99)X(187). It meets the circumcircle at the same points as K169 = pK(X6, X69). 
