# User defined Embedding

I have 2 isomorphic number fields L.and M., and I would like to define an embedding from L to M sending a to b. Is this possible without using the command L.embeddings(M)?

User defined Embedding

0

Here is a possible way (guessing that `a`

is a generator of `L`

and `b`

is a generator of `M`

):

```
sage: L.hom([b], M)
```

Note that the Python variable `b`

should be the name of the generator `b`

of `M`

. If it is not already the case, you can obtain it by doing first:

```
sage: M.inject_variables()
```

or

```
sage: b = M.gen()
```

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Asked: ** 2017-11-08 07:30:00 +0200 **

Seen: **340 times**

Last updated: **Nov 08 '17**

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Could you please provide a concrete example of

`L`

and`M`

? If you want an adapted answer, it is really important to provide a concrete example of L and M you want to deal with, so that we can test on them and show explicit behaviors.