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X(2), X(4), X(6), X(98), X(237), X(248), X(385), X(1687), X(1688), X(1976)

K380 is the locus of pivots of pKs meeting the circumcircle at the same points as pK(X6, X385) = K128. These points are the Tarry point X(98) and two imaginary points on the Lemoines axis. Its pivot is the Tarry point and its isopivot is K. It is a member of the class CL043 : the tangents at the intersections with the circumcircle concur.

It contains a large number of centers and the collinearities on the cubic are as follows :

X2-X4-X237, X2-X6-X385, X2-X98-X1976, X4-X98-X248, X6-X248-X1976, X6-X1687-X1688.

It has the same asymptotic directions as pK(X6, X325).

Its isogonal transform is pK(X511, X2) = K357.