Hi Luis,

With merging as I proposed in my previous post, one gets

sage: K.<r4> = NumberField(x^4-2)
sage: L1.<r2_1> = NumberField(x^2-2, embedding = r4**2)
sage: L2.<r2_2> = NumberField(x^2-2, embedding = -r4**2)
sage: from sage.categories.pushout import pushout
sage: pushout(L1,L2)
Number Field in r4 with defining polynomial x^4 - 2

But apparently something else is wrong, since r2_1+r2_2 still yields
the ERROR that you observed, even though
sage: K(r2_1) + K(r2_2)
0

Now I'm puzzled where the ERROR comes from.

Cheers,
Simon

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