  We present the first comparisons of experimental data with phenomenological
results from 3+1d quasiparticle anisotropic hydrodynamics (aHydroQP). We
compare charged-hadron multiplicity, identified-particle spectra,
identified-particle average transverse momentum, charged-particle elliptic
flow, and identified-particle elliptic flow produced in LHC 2.76 TeV Pb+Pb
collisions. The dynamical equations used for the hydrodynamic stage utilize
non-conformal aHydroQP. The resulting aHydroQP framework naturally includes
both shear and bulk viscous effects in addition to higher-order non-linear
transport coefficients. The 3+1d aHydroQP evolution obtained is
self-consistently converted to hadrons using anisotropic Cooper-Frye freezeout
performed on a fixed-energy-density hypersurface. The final production and
decays of the primordial hadrons are modeled using a customized version of
THERMINATOR 2. In this first study, we utilized smooth Glauber-type initial
conditions and a single effective freeze-out temperature T_FO = 130 MeV with
all hadronic species in full chemical equilibrium. With this rather simple
setup, we find a very good description of many heavy-ion observables.
