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Murmurations of weight k=8 newforms for Γ0(N) in Zubrilina's Theorem

In the plots below, each purple dot at x:=(p/X)1/2 is the average of mp(f) := w(p)ap(f)/p(k/2-1) taken over all newforms f in Sk(N) and squarefree N in [X,X+Y] with Y=X1-δ, while the green curve is Mk(x) where Mk is Zubrilina's density function for weight k=8. The green curve will not be visible in frames where it is completely obscured by the purple data dots.

This first plot fixes X=217 with δ dynamically increasing from 0.1 to 0.5 in increments of 0.05

Below are individual plots for δ = 0.1, 0.15, 0.2, 0.25, ..., 0.75 and X=2n with n dynamically from 10 to 17 in each animated plot.
0.10.25
0.20.25
0.30.35
0.40.45
0.50.55
0.60.65
0.70.75