For quadratic fields with Cl3(C9 x C9), Artin patterns determine the metabelianization and often the length of the 3-class field tower, but the claimed infinite families of tower groups are only verified up to a computational bound.
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Harmonically balanced capitulation over quadratic fields of type (9,9)
For quadratic fields with Cl3(C9 x C9), Artin patterns determine the metabelianization and often the length of the 3-class field tower, but the claimed infinite families of tower groups are only verified up to a computational bound.