I think you should do a Sage tutorial before asking more questions. The 
message is "NameError: name 'p' is not defined", which means precisely what 
it says: p is not defined. You can't define GF(p) in general, you need to 
specify a prime (for example 17) and construct GF(17). Or

  sage: p=17
  sage: GF(p)
  ...

Or you could write a function which takes p as input and returns the 
intersection of the subspaces as output. But I think you need to learn some 
Python and Sage basics first.

  John



On Tuesday, May 13, 2014 10:26:40 PM UTC-7, nas mer wrote:
>
> I attach the program of intersection  in sage.
>
>
> On Wed, May 14, 2014 at 9:52 AM, nas mer <[email protected] <javascript:>
> > wrote:
>
>> Hi
>> Thank you
>> I attach the program of intersection  in sage.
>> please, look at the attach file.
>> Best regard
>>
>>
>> On Tue, May 13, 2014 at 10:49 PM, <[email protected] <javascript:>>wrote:
>>
>>> It is known that a polynomial x^2 +x +1= 0 has a solution in Zp if and 
>>> only if -3 is a square root
>>> in Zp, which is if and only if p=1.mod 6. the splitting field Zp(y1) 
>>> where y1 is a solution of the polynomial x^2 +x +1= 0 .
>>> gle.com/d/optout <https://groups.google.com/d/optout>. 
>>>
>>
>>
>

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