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We calculate the s-wave scattering length and effective range and the p-wave scattering volume for Li atoms interacting with 133CS atoms via the X∑ molecular potential.The length and volume are found by fitting the log-derivative of the zero energy wave function evaluated at short range to a long range expression that accounts for the leading van der Waals dispersion potential and then incorporating the remaining long range dispersion contributions to first order.The effective range is evaluated from a quadrature formula.The calculated parameters are checked from the zero energy limits of the scattering phase shifts.We comment on ill-conditioning in the calculated s-wave scattering length.