These seem to be the offending lines from power_mod:

apow = a
    while n&1 == 0:
        apow = (apow*apow) % m
        n = n >> 1
    power = apow

Maybe the final line should be changed to

  power = apow % m

- Alasdair

On Dec 22, 3:19 pm, "William Stein" <[email protected]> wrote:
> On Sun, Dec 21, 2008 at 5:03 PM, almis <[email protected]> wrote:
>
> > ----------------------------------------------------------------------
> > | SAGE Version 3.1.4, Release Date: 2008-10-16                       |
> > | Type notebook() for the GUI, and license() for information.        |
> > ----------------------------------------------------------------------
>
> > sage: power_mod(11,1,7)
> > 11
> > sage: mod(11^1,7)
> > 4
> > sage: # Hmmm...???
> > sage:
>
> > ...al
>
> Thanks.  This is definitely a bug, which we are tracking here:
>
>    htttp://trac.sagemath.org/sage_trac/ticket/4850
>
> William
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