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X(2), X(13), X(14), X(15), X(16), X(110), X(125), X(618), X(619), X(1054)

extraversions of X(1054)

vertices of the 2nd Brocard triangle

Q123 is the Psi transform of the Neuberg cubic K001. See explanations here.

Q123 is a bicircular quartic.