X(2), X(4), X(376)
projections of X(376) on the sidelines of ABC
their reflections in G
points at infinity of the Thomson cubic
common points of the circumcircle and pK(X6, Z) where Z = X7998 = X2-X51 /\ X3-X74
TC(X376) is a member of the class CL040 of Thomson centroidal cubics.
It is the locus of point M such that the trilinear polar of M is perpendicular to the line X(376)M where X(376) is the reflection of G in K.
K315 is a central cubic with three real asymptotes concurring at G and parallel to those of the Thomson cubic. The tangent at G passes through K.