Murmurations of weight 4 newforms for Γ₀(N) of squarefree level and varying dimension

Each blue/red dot at (p,a_p) records the average of a_p(f)/p over newforms of root number w(f)=+1/-1 of varying dimension with squarefree level in a fixed dyadic interval.

Each purple dot at (p,a_p) records the average of w(f)a_p(f)/p over newforms of varying dimension with squarefree level in a fixed dyadic interval.