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X(4), X(10), X(21), X(35), X(40), X(56), X(90), X(267), X(2218), X(2915)

vertices of the inner Garcia triangle (see ETC, preamble of X5686)

K679 is related with K033, see locus property 6.

K679 meets the line at infinity at the same points as K434 and the circumcircle at the same points as K033.