I think you are over-complicating this.

There is going to be a limit, for any of the numbers J can represent.

-- 
Raul


On Mon, Jun 2, 2014 at 3:42 PM, Don Guinn <[email protected]> wrote:
> I don't think that this is a complete test. If 1~:|n then it it is not a
> primitive root of unity. But n must be a complex number when raised to an
> *integer* power is 1. Maybe converting the complex number to polar then
> checking the angle and seeing if it is a rational fraction of a circle.
>
> Obviously computers will always find some rational number though it might
> require raising n to a very large power. There should be some reasonable
> limit as to how large the power may be.
>
>
> On Mon, Jun 2, 2014 at 1:08 PM, Raul Miller <[email protected]> wrote:
>
>>    1=|n
>>
>> Thanks,
>>
>> --
>> Raul
>>
>>
>> On Mon, Jun 2, 2014 at 2:54 PM, Dan Bron <[email protected]> wrote:
>> > Given a complex number, how can I determine whether it is a primitive
>> root
>> > of unity?
>> >
>> > (This is a subtask of a code golf problem, so the shorter the better)
>> >
>> > -Dan
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>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
>>
> ----------------------------------------------------------------------
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