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X(2), X(126), X(858), X(3291), X(3580), X(33129), X(34834), X(44436), X(62583), X(64646), X(71378), X(71379), X(71380), X(71381), X(71382), X(71383), X(71384), X(71385), X(71386), X(71387), X(71388), X(71389), X(71390), X(71391), X(71392)

vertices of the medial triangle

Q1, Q2 = bicentric pair PU(4), on the circumcircle, the nine point circle, the orthic axis

Geometric properties :

The complement of K1303 is K1438, a nodal cubic with node G and nodal tangents passing through X(2592) and X(2593). These two points lie on the line {297,525} and on the Kiepert hyperbola.

The barycentric product X(4) x K1438 is K1436.