On Saturday, August 11, 2012 1:22:05 PM UTC-7, Marco Streng wrote:
>
> These outputs look fine to me. See also 
> http://trac.sagemath.org/sage_trac/ticket/11673 
>

Dear Marco,

Thanks for the pointer to that ticket, which explains the change in the the 
"is_unit()" behavior.

Why should the inverse of "four" succeed when the result is not in K? 

sage: four^-1 in K
False

On #12242 (a follow-on to the ticket above), David Loeffler argues that the 
following is the wrong behavior, and that the last command should raise an 
error.

sage: K.<a> = NumberField(x^2 - x - 1); OK = K.ring_of_integers() 
sage: OK(12).divides(OK(13)) 
True 
sage: OK(12) // OK(13) 
12/13

Thanks,
Rob


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