# Plotting Zero-free regions

So I am working on a project for proving different types of zero-free regions, I needed to plot some zero free regions using sage and cannot think any obvious ways to do it. I am still pretty new to sage and computational math in general but I needed some guidance as to what I should do. I am trying to plot the zero free region by de la Vall ́ee Poussin which is $1-\beta \leq \frac{c}{\log(t)}$

what gives

`region_plot?`

?More generally, the reference manual may come in handy...