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We present a numerical calculation for the static
spin-symmetric and spin-antisymmetric local-field factors
as a function of density in a two-dimensional (2D) unpolarized
electron liquid.
We use recent analytical experssion for the spin-resolved
pair distribution function of 2D electron liquid based on
quantum Monte Carlo simulation data and accurate correlation energy
as input to construct the local-field factors from the
fluctuation-dissipation theorem.
We obtain good agreement with data from quantum Monte Carlo
studies of the 2D electron liquid over an extensive range of density.
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