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For all primes $p$, we may define $\\theta_p\\in [0,\\pi]$ such that $a_f(p) = 2p^{(k-1)/2}\\cos \\theta_p$. The Sato-Tate conjecture states that the angles $\\theta_p$ are equidistributed with respect to the probability measure $\\mu_{\\textrm{ST}}(I) = \\frac{2}{\\pi}\\int_I \\sin^2 \\theta \\; d\\theta$, where $I\\subseteq [0,\\pi]$. 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For all primes $p$, we may define $\\theta_p\\in [0,\\pi]$ such that $a_f(p) = 2p^{(k-1)/2}\\cos \\theta_p$. The Sato-Tate conjecture states that the angles $\\theta_p$ are equidistributed with respect to the probability measure $\\mu_{\\textrm{ST}}(I) = \\frac{2}{\\pi}\\int_I \\sin^2 \\theta \\; d\\theta$, where $I\\subseteq [0,\\pi]$. 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