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I am trying to calculate a Galois Group. I have the following code

x=QQbar(7**(1/8))
L.<x>=NumberField(x.minpoly())
G=L.galois_group(names='x')
print(G)

The output is

Galois group of Galois closure in x of Number Field in x with defining polynomial x^8 - 7

I would like to restrict the number field L to the reals. My number field should be non-complex and contain the real root of the minimum polynomial? How do I acchieve that in my code?

Thanks

I am trying to calculate a Galois Group. I have the following code

x=QQbar(7**(1/8))
L.<x>=NumberField(x.minpoly())
G=L.galois_group(names='x')
print(G)

The output is

Galois group of Galois closure in x of Number Field in x with defining polynomial x^8 - 7

I would like to restrict the number field L to the reals. My number field should be non-complex and contain the real root of the minimum polynomial? polynomial. How do I acchieve that in my code?

Thanks

I am trying to calculate a Galois Group. I have the following code

x=QQbar(7**(1/8))
L.<x>=NumberField(x.minpoly())
G=L.galois_group(names='x')
print(G)

The output is

Galois group of Galois closure in x of Number Field in x with defining polynomial x^8 - 7

I would like to restrict the number field L to the reals. My number field should be non-complex and contain the real root of the minimum polynomial. polynomial only. How do I acchieve that in my code?

Thanks