Averaged resolvent estimate and corrected parameter ledger

For the diagnostic amplitudes ${\omega }_0,t{\omega }_0,t^2{\omega }_0$, the exact polynomial-division identities place the first logarithms at orders $0,1,2$, respectively. For amplitudes vanishing near zero, ordinary denominator expansion recovers the same finite-part coefficients and no logarithms. These checks hold for weights crossing $L=0$.