> For the complete documentation index, see [llms.txt](https://trizen.gitbook.io/sidef-lang/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://trizen.gitbook.io/sidef-lang/programming_tasks/r/roots_of_unity.md).

# Roots of unity

```ruby
func roots_of_unity(n) {
    n.of { |j|
        exp(2i * Num.pi / n * j)
    }
}

roots_of_unity(5).each { |c|
    printf("%+.5f%+.5fi\n", c.reals)
}
```

#### Output:

```
+1.00000+0.00000i
+0.30902+0.95106i
-0.80902+0.58779i
-0.80902-0.58779i
+0.30902-0.95106i
```