1 | initial version |

Here is an example:

```
sage: a = [I, sqrt(7), sqrt(-7)]
sage: K, a_in_K, hom = number_field_elements_from_algebraics(a, minimal=True)
sage: K
Number Field in a with defining polynomial y^4 - 3*y^2 + 4
sage: a_in_K
[-1/2*a^3 + 1/2*a, -1/2*a^3 + 5/2*a, -2*a^2 + 3]
sage: [z^2 for z in a_in_K]
[-1, 7, -7]
sage: K.degree()
4
```

See `number_field_elements_from_algebraics`

. In general the elements of `a`

can be taken from `AA`

or `QQbar`

.

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.