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X(2), X(13), X(14), X(616), X(617), X(3413), X(3414) Ga, Gb, Gc vertices of the antimedial triangle 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 

Q051 is a circular quartic with singular focus G which passes through the points Ua, Ub, Uc. It has two real asymptotes parallel to those of the Kiepert hyperbola intersecting at X = X(15300), a point on the line X(2)X(99), the reflection of X(671) in X(620). G is a flex on the curve and the tangent at G contains X(187). It meets the quartic again at X(11057) on the line X(30)X(76). The tangents at Ga, Gb, Gc, X(616), X(617) pass through G. More generally, the locus of P in the plane whose polar line (with respect to the quartic) pass through G is a central focal cubic, the anticomplement of K065. 
