The K.<> = ... syntax injects a names=(...) keyword argument on the right
hand side:
sage: preparse('K.<k> = f()')
"K = f(names=('k',)); (k,) = K._first_ngens(1)"
So what you probably want is:
sage: x = polygen(QQ)
sage: sage_eval("NumberField(x^2 + x - 1/2, embedding=0.366,
names=('x',))", locals={'x':x})
Number Field in x with defining polynomial x^2 + x - 1/2
On Saturday, July 27, 2013 5:53:52 PM UTC-4, Emil wrote:
>
> Hi, I'd like to be able to save number fields with embeddings as text
> strings, so that they can be instantiated at a later date, as well as being
> human readable. So, I'm trying to store the command used to create such a
> field, and use sage_eval on it.
>
> sage: x = polygen(QQ)
> sage: K.<x> = NumberField(x^2 + x - 1/2, embedding=0.366)
>
> The above works, but the following gives an error:
>
> sage: K.<x> = sage_eval('NumberField(x^2 + x - 1/2, embedding=0.366)',
> locals={'x': x})
> ---------------------------------------------------------------------------
> TypeError Traceback (most recent call last)
>
> /Users/ev/Projects/flagmatic/<ipython console> in <module>()
>
> TypeError: sage_eval() got an unexpected keyword argument 'names'
>
>
> Does anyone know how to fix this? Thanks!
>
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