Murmurations of varying weight newforms for Γ₀(N)

Each blue/red dot at (p,a_p) records the average of a_p(f)/p^(k-2)/2 over newforms of root number w(f)=+1/-1, squarefree level 2¹⁴ < N < 2¹⁵, and varying weight k.

Each purple dot at (p,a_p) records the average of w(f)a_p(f)/p^(k-2)/2 over newforms of root number w(f)=+1/-1, squarefree level 2¹⁴ < N < 2¹⁵, and varying weight k.