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X(1), X(3), X(30), X(36), X(40), X(2077)

excenters and extraversions of the weak points X(36), X(40), X(2077)

reflections in X(3) of these points

(contributed by Angel Montesdeoca, 2017-05-26, see here)

Q122 is a bicircular quintic invariant under the reflection in X(3) and also under the inversion in the circumcircle.

The real asymptote is the Euler line which is also the tangent at the point of inflexion X(3).

Q122 is a member of the pencil of bicircular quintics generated by Q067 and the union of K006 and the line at infinity counted twice.