  Atomic nuclei exhibit deformation, pairing correlations, and rotational
symmetries. To meet these competing demands in a computationally tractable
formalism, we revisit the use of general pair condensates with good particle
number as a trial wave function for even-even nuclei. After minimizing the
energy of the condensate, we project out states with good angular momentum with
a fast projection technique, allowing for general triaxial deformations. To
show applicability, we present example calculations from pair condensates in
several model spaces, and compare against projected Hartree-Fock and full
configuration-interaction shell model calculations. This approach successfully
generates spherical, vibrational and rotational spectra, demonstrating
potential for modeling medium- to heavy-mass nuclei.
