# How to do arithmetic operation of elements in finite field?

Let us consider an example:

```
Var('x')
F.<x> = GF(13^2)
```

We consider two elements `2*x + 11, 3*x + 2`

corresponding to the integers `37`

and `41`

respectively. Now we can operate them as

```
a=F.fetch_int(37)+F.fetch_int(41)
m=F.fetch_int(37)*F.fetch_int(41)
```

We have `a=4*x + 10 , m= 4*x + 10`

In reverse way we can get the corresponding integers as :

```
ai=a.integer_representation()
mi=m.integer_representation()
```

That is, `ai=65, mi=62`

How can I do the same for the field `GF(251)`

using the same function?