Actually, there seems to be a convenient frobby.hilbert() function which 
does what you want, though I don't know if it's happy with larger 
coefficients.

john perry

On Thursday, May 21, 2015 at 3:35:23 PM UTC-5, john_perry_usm wrote:
>
> Hi
>
> I factored this polynomial and found out that the number:
>>
>> 4294967296 (which should ring a bell)
>>
>> is a factor of the polynomial!
>>
>
> It didn't ring a bell for me, but factor(4294967296) enlightens me. :-)
>  
>
>> It seems that the hilbert numerator uses singular. Can that be that 
>> singular can not deal with very big integers?? Or with too many variables?
>>
>
> I *think* the first sentence on this page is related to your question:
>
> http://www.singular.uni-kl.de/Manual/latest/sing_90.htm#SEC129
>
>
> In principle you could get around it using another Hilbert function. You 
> could try frobby, which is actually in Sage (in mine, anyway), but I've 
> never used it, so I can't be more helpful, sorry.
>
> john perry
>
>

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