Is there a way I can take the place I got and input it into future 
calculations without having to recalculate it every time I run the code? 

On Saturday, December 14, 2024 at 9:28:37 AM UTC-8 Sai Chandhrasekhar wrote:

> I want to compute a single place of degree 8 so I can use it as described 
> in the OP. 
>
> On Saturday, December 14, 2024 at 7:48:15 AM UTC-8 Nils Bruin wrote:
>
>> On Friday, 13 December 2024 at 17:48:38 UTC-8 Kwankyu wrote:
>>
>> On Sat, Dec 14, 2024 at 9:09 AM Sai Chandhrasekhar <skchandh...@gmail.com> 
>> wrote:
>>
>> When I ran it, it took a little over an hour. Is there a way to speed up 
>> this calculation? 
>>
>>
>> No.
>>
>>   
>> Well ... it depends on what you want to know. The curve you are 
>> describing is already defined over GF(2). It is of genus 5, so its zeta 
>> function is determined by the number of places up to degree 5. That gets 
>> you the whole zeta function, so if you're interested in the number of 
>> places of degree 8 over GF(2^16)  [i.e., the places of degree 19 over 
>> GF(2), with some careful inclusion-exclusion counting] then you'd be able 
>> to get that info from the zeta function without having to do explicit 
>> computations with places.
>>
>> In fact, to get information about places of degree 8 over GF(2^16), 
>> perhaps you can get the information you want already from the corresponding 
>> point of degree 1 over GF(2^19).
>>
>

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