Thanks to everyone who participated in this thread.  It helped me figure out
what others think about the issue, and also exactly what behaviour I want to
see.

I think we're all in agreement that in the situation we had above (K a
number field, R the isomorphic polynomial quotient ring, r an element of R),
K(r) should work.  I've implemented this at trac #4837, since it
significantly trivialises the code for random_element.

Best,
Alex


-- 
Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne --
Australia -- http://www.ms.unimelb.edu.au/~aghitza/

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