Baseline predictions of elliptic flow and fluctuations for the RHIC Beam Energy Scan using response coefficients

Currently the RHIC Beam Energy Scan is exploring a new region of Quantum Chromodynamic phase diagram at large baryon densities that approaches nuclear astrophysics regimes. This provides an opportunity to study relativistic hydrodynamics in regime where net conserved charges number, strangeness, and electric charge play role, which will significantly change theoretical approach simulating baryon-dense Quark-Gluon Plasma. Here we detail many important changes needed adapt both initial conditions medium baryon-rich matter. Then, make baseline predictions for elliptical flow fluctuations based on extrapolating physics LHC top energies support future analyses how causes these extrapolations break down. First compare eccentricities across beam energies, their underlying assumptions; find extrapolated state predicted be nearly identical AuAu $\sqrt{s_{NN}}=200$ GeV. Then final harmonic are linear+cubic response. We discuss preliminary STAR results order determine implications they have response coefficients lowest energy $\sqrt{s_{NN}}=7$