## Basis of field extensions.

$\displaystyle \\$I'm having a little trouble determining a basis for the field extension $\mathbb{Q}(e^{\frac{2 \pi i}{p}})/ \mathbb{Q}$ where p is any prime. I know $[\mathbb{Q}(e^{\frac{2 \pi i}{p}}): \mathbb{Q}]=p-1.$ \\ Any pointers in the right direction would be greatly appreciated.