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The coefficients of $\\Psi_n(x)$ are integers that like the coefficients of $\\Phi_n(x)$ tend to be surprisingly small in absolute value, e.g. for $n<561$ all coefficients of $\\Psi_n(x)$ are $\\le 1$ in absolute value. 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One has $\\Psi_n(x)=(x^n-1)/\\Phi_n(x)$, with $\\Phi_n(x)$ the $n$th cyclotomic polynomial. The coefficients of $\\Psi_n(x)$ are integers that like the coefficients of $\\Phi_n(x)$ tend to be surprisingly small in absolute value, e.g. for $n<561$ all coefficients of $\\Psi_n(x)$ are $\\le 1$ in absolute value. 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