  We perform nuclear shell model calculations of the neutralino-nucleus cross
section for several nuclei in the A = 127 region. Each of the four nuclei
considered is a primary target in a direct dark matter detection experiment.
The calculations are valid for all relevant values of the momentum transfer.
Our calculations are performed in the $3s 2d 1g_{7/2} 1h_{11/2}$ model space
using extremely large bases, allowing us to include all relevant correlations.
We also study the dependence of the nuclear response upon the assumed nuclear
Hamiltonian and find it to be small. We find good agreement with the observed
magnetic moment as well as other obervables for the four nuclei considered:
^{127}I, ^{129,131}Xe, and ^{125}Te.
