Model results when adjusting the mass of the core and heavy elements to reproduce the radius and J₂ of Jupiter. In these models the atmospheric helium mass mixing-ratio is fixed to Y_atm = 0.238, and we change the helium abundance in the deeper layer to match the protosolar value within its error bars. Different panels show J₄ (upper panel), J₆ (middle panel), and M_Z (lower panel). Different colors show results for the three different equations of state of hydrogen and helium: SCvH (green), MH13+SCvH (red), and REOS3b (blue). The lines indicate different locations of the helium phase that separates the two envelopes at 0.8 Mbar (dashed), 2 Mbar (solid), and 4 Mbar (dotted lines). The vertical dashed line indicates the protosolar helium mixing ratio, and the horizontal lines in the upper panel show estimates of J₄ from observations and models as a reference.