I already have some code that does that for function fields. I just have
not turned it into a sage patch yet. I'll CC you on the ticket for this.

julian

* [email protected] <[email protected]> [2011-12-20 00:59:53 -0800]:

> I think it is essential (speaking priority) to have a parallel to
> Magam
> 
> "
> RationalExtensionRepresentation(F) : FldFunG -> FldFun
> 
> The function field F represented as an extension of a rational
> function field. This function gives the representation of function
> fields F/k as finite extensions.
> "
>  This basically collapses the extension tower to one extension. It
> significantly speeds up any computation which happens at the top of
> the tower. If sage has such a method for number fields, it should be
> fairly straight forward to  recycle for the function field class. Does
> anybody knows if we have such a method for number fields?
> 
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