Two comments, neither about memory management as such: (1) Why do you need to store all the primes and curves? Why don't you loop through primes?
(2) EllipticCurve([0,-1,1,0,0]).aplist(10000) gives you almost what you want (just replace the i'th entry ap by 1+p-ap where p is the ith prime): e=EllipticCurve([0,-1,1,0,0]); ap=e.aplist(10000); plist=prime_range(10000); [1+plist[i]-ap[i] for i in range(prime_pi(10000))] John Cremona On 8/10/07, Justin <[EMAIL PROTECTED]> wrote: > > Hi again everyone, > > I'm playing around with this project exploring Hasse's theorem for > Elliptic Curves over prime order field and playing with the > distributions that I get. The bottom line is that I execute alot of > lines like this: > > ----------- > sage: P=prime_range(8000,9000) > sage: L=[EllipticCurve(GF(i),[0,-1,1,0,0]) for i in P] > sage: E=[L[i].cardinality() for i in range(len(P))] > ----------- > What I wanted originally to do was to get the cardinality for these > curves for all primes from 12 to 10000, but I ran out of memory. So I > started breaking down the problem into 1000 prime_range chunks. > > The interesting thing is that I would start running out of memory on > these chunks too! I then discovered that after a few runs, using the > same variables and replacing 5000-6000 with 6000-7000 and opening > another text document to store the cardinalities in, I would run out > of memory. Once I was forced to quit SAGE, the memory allocation would > be ready for another prime run of 1000. However in order to make > progress, I would have to quit SAGE after each run, to clear up enough > memory for each stretch of commands. > > What seems odd is that memory seems to be occupied with old and > commands that I issued in the past and "clear" doesn't work, but only > a "quit"! > > Any thoughts? > > -Justin > > Sample output below: > > sage: P=prime_range(8000,9000) > sage: L=[EllipticCurve(GF(i),[0,-1,1,0,0]) for i in P] > error: no more memory > System 4600k:4600k Appl 4180k/419k Malloc 4084k/3k Valloc 512k/416k > Pages 31/97 Regions 1:1 > > > > > -- John Cremona --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~----------~----~----~----~------~----~------~--~---
