We present a new survey of the radial oscillation modes of neutron stars. This study complements and corrects earlier studies of radial cillations. We present an extensive list of frequencies for the most common equations of state and some more recent ones. In order to check the accuracy, we use two different numerical schemes which yield the same results. The stimulation for this work comes from the need of the groups that evolve the full nonlinear Einstein equations to have reliable results from perturbation theory for comparison. Tables A.1 to A.20 are also available in electronic form at the CDS via anonymous ftp to cdsarc.u-strasbg.fr (126.96.36.199)} or via http://cdsweb.u-strasbg.fr/cgi-bin/qcat?/A+A/366/565
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