2005-12-06, 12:42 | #1 |
"Bob Silverman"
Nov 2003
North of Boston
2^{2}×1,871 Posts |
Stopping on a dime?
I am nearly done sieving 2,1402L.
Last night I did my first filtering pass on the data. The results show (theoretically) that I could proceed with the LA if I wanted to.... I had a bare excess of 78 equations over ideals and a matrix of about 6.8 million rows.... I have never before seen such a small excess on the first filter pass. Usually, I still have a defficiency after the first pass. I will sieve for another two days. This will yield enough relations to cut the matrix in half and thereby save about 3 weeks of Linear Algebra time..... I ran into a bug in my lattice siever when I did some initial experiments on 2,781-. I was using a reciprocal quintic. This number is only 9 bits bigger than 2,1402L, but I was only getting a tiny fraction of the expected yield. I then tried 2,820+, (with a quartic), but this dumped core. I am guessing that with the size of the factor bases I am using, that polynomials lower than degree 6 are smooth so often that I am running out of space to store some data. I need to investigate. Unfortunately, I am swamped with real work, and don't have the time right now. I have therefore switched to 2,1011+. I will do 2,781- at a later time if someone else doesn't do it first. |
2006-03-20, 23:46 | #2 |
Jun 2003
The Texas Hill Country
3^{2}×11^{2} Posts |
Bob,
thank you for keeping us informed. |
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