Le lundi 9 mai 2016 09:18:53 UTC+2, john_perry_usm a écrit :
>
>
> For the homogeneous cyclic-8,
>
> > int RT = rtimer; int T=timer; size(sba(k,0,0)); rtimer-RT; timer-T; 
> 1182
> 6854
> 5113
>
>
Strange figures: I get 455 for the first (which is correct for the basis 
size, while 1182 is wrong), and a little less than 13s for the timings, 
indeed faster than singular groebner but still 10 to 4* slower than 
mgb/fgb/giac f4 .. and you must dig into singular documentation!
I'm not convinced it's really worth spending time implementing signature 
algorithms anyway (and it seems Roman Pearce and Allan Steel share the same 
feeling), f4 seems good enough for modular computations, and for 
computations over Q with modular algorithms, you can discard useless pairs 
using the first modular run.

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