Reserved for MF - Sequence 4788 - Page 79

schickel · 2010-02-22, 11:00

Quote:

Originally Posted by fivemack

2000@11e7 produced no factor, unsurprisingly.

I have computation coming out of my ears, but since my Internet download speed has dropped to 40kbytes/second it would probably take me as long to download the relations as to run the matrix :(

We could always collect the relations and Express Mail them to you....hmmm, what do you suppose the customs value of umpteen million relations should be declared as?

Andi47 · 2010-02-22, 11:39

Quote:

Originally Posted by fivemack

...since my Internet download speed has dropped to 40kbytes/second...

Why this?

BTW: If I counted correctly, we should now have a total of 11400 curves at 11e6.

fivemack · 2010-02-22, 13:32

Quote:

Originally Posted by schickel

We could always collect the relations and Express Mail them to you....hmmm, what do you suppose the customs value of umpteen million relations should be declared as?

40kb/sec = 3.4GB/day; it's probably a 31-bit problem so 250M relations at 50 bytes of gzip each would be a four-day download or post three DVDs. Not sure the i7 is enough faster than somebody else's Phenom to make this sensible, but if you thing it's worthwhile I'm prepared to do it.

Be a bit careful with customs values (IE post from within the EU), since the post office charges me £13.50 for the privilege of paying the customs fee however small that fee turns out to be.

fivemack · 2010-02-22, 13:33

Quote:

Originally Posted by Andi47

Why this?

No idea why the connection is dodgy. Three-year-old router out of magic smoke? Weasels nesting in the connection-box? Convincing BT to diagnose such things seems impossible.

Quote:

Originally Posted by Andi47

BTW: If I counted correctly, we should now have a total of 11400 curves at 11e6.

Mine at least are at 11e7, 110e6, as I think are frmky's.

Andi47 · 2010-02-22, 14:41

Quote:

Originally Posted by fivemack

Mine at least are at 11e7, 110e6, as I think are frmky's.

ooops - I meant to type 11e7, but the 6 is next to the 7 on the keyboard...

frmky · 2010-02-22, 17:46

Quote:

Originally Posted by Andi47

BTW: If I counted correctly, we should now have a total of 11400 curves at 11e6.

I completed another 1100 curves overnight, so make that 12500 @ 11e7 so far.

Joshua2 · 2010-02-23, 06:13

I'm mostly done with my 1000 curves.

jrk · 2010-02-23, 20:11

I've stopped the poly search. A bit of testing among the few best scorers reveals that this is my best poly:

Code:

n: 193180597261434437130723427223452983749001196443861486431050101233095959046579376056784397572419692971642911818089261513816572456073452501892312801518858596361529181158803
# norm 1.035357e-16 alpha -6.929733 e 2.847e-13
skew: 42972295.61
c0: -53546854924607693903542081910433567264000
c1:  522292118959486321900977916817558660
c2:  37609110301045736156878149024
c3: -940271047170212912673
c4: -17420632831592
c5:  122160
Y0: -1095990843863198982888397501015033
Y1:  2645241704855349311
rlim: 67108863
alim: 67108863
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6

The sieving range is Q=20M to 120M with siever 15e. This gives about 25% over-sieving for a nice matrix.

Quote:

Originally Posted by fivemack

it's probably a 31-bit problem

Looks like 30-bit has an edge over 31-bit in the tests. Plus, if you are doing the post-processing, using 30-bit would save you a couple of days of downloading over your crippled line.

I also compared using small prime bounds of 2^26-1 vs 80M and found that 2^26-1 is slightly better overall while using less memory (220MB vs 262MB). So 2^26-1 seems to be a good fit.

Here are the numbers. Siever 15e was used for all.

30-bit large primes, small primes up to 80M:

Code:

Warning:  lowering FB_bound to 19999999.
total yield: 1267, q=20001001 (0.34316 sec/rel)
Warning:  lowering FB_bound to 24999999.
total yield: 1374, q=25001029 (0.31809 sec/rel)
Warning:  lowering FB_bound to 29999999.
total yield: 1090, q=30001003 (0.34557 sec/rel)
Warning:  lowering FB_bound to 34999999.
total yield: 1030, q=35001013 (0.33344 sec/rel)
Warning:  lowering FB_bound to 39999999.
total yield: 1624, q=40001021 (0.32260 sec/rel)
Warning:  lowering FB_bound to 44999999.
total yield: 1620, q=45001001 (0.31757 sec/rel)
Warning:  lowering FB_bound to 49999999.
total yield: 1375, q=50001037 (0.32487 sec/rel)
Warning:  lowering FB_bound to 54999999.
total yield: 1114, q=55001003 (0.34378 sec/rel)
Warning:  lowering FB_bound to 59999999.
total yield: 1005, q=60001021 (0.33864 sec/rel)
Warning:  lowering FB_bound to 64999999.
total yield: 1570, q=65001019 (0.31476 sec/rel)
Warning:  lowering FB_bound to 69999999.
total yield: 1105, q=70001011 (0.31744 sec/rel)
Warning:  lowering FB_bound to 74999999.
total yield: 1433, q=75001001 (0.31854 sec/rel)
total yield: 1389, q=80001017 (0.33279 sec/rel)
total yield: 1469, q=85001011 (0.34975 sec/rel)
total yield: 1324, q=90001003 (0.34190 sec/rel)
total yield: 1249, q=95001001 (0.35729 sec/rel)
total yield: 1064, q=100001029 (0.37909 sec/rel)
total yield: 1094, q=105001007 (0.36817 sec/rel)
total yield: 1544, q=110001053 (0.36108 sec/rel)
total yield: 1472, q=115001009 (0.37909 sec/rel)

31-bit large primes, small primes up to 80M:

Code:

Warning:  lowering FB_bound to 19999999.
total yield: 2365, q=20001001 (0.18644 sec/rel)
Warning:  lowering FB_bound to 24999999.
total yield: 2602, q=25001029 (0.16832 sec/rel)
Warning:  lowering FB_bound to 29999999.
total yield: 2085, q=30001003 (0.18134 sec/rel)
Warning:  lowering FB_bound to 34999999.
total yield: 2005, q=35001013 (0.17222 sec/rel)
Warning:  lowering FB_bound to 39999999.
total yield: 3122, q=40001021 (0.17061 sec/rel)
Warning:  lowering FB_bound to 44999999.
total yield: 3159, q=45001001 (0.16656 sec/rel)
Warning:  lowering FB_bound to 49999999.
total yield: 2676, q=50001037 (0.16730 sec/rel)
Warning:  lowering FB_bound to 54999999.
total yield: 2230, q=55001003 (0.17565 sec/rel)
Warning:  lowering FB_bound to 59999999.
total yield: 2039, q=60001021 (0.17098 sec/rel)
Warning:  lowering FB_bound to 64999999.
total yield: 3043, q=65001019 (0.16521 sec/rel)
Warning:  lowering FB_bound to 69999999.
total yield: 2134, q=70001011 (0.16562 sec/rel)
Warning:  lowering FB_bound to 74999999.
total yield: 2748, q=75001001 (0.16663 sec/rel)
total yield: 2739, q=80001017 (0.17257 sec/rel)
total yield: 2987, q=85001011 (0.17572 sec/rel)
total yield: 2615, q=90001003 (0.17743 sec/rel)
total yield: 2485, q=95001001 (0.18384 sec/rel)
total yield: 2179, q=100001029 (0.18538 sec/rel)
total yield: 2142, q=105001007 (0.19237 sec/rel)
total yield: 3008, q=110001053 (0.18956 sec/rel)
total yield: 2982, q=115001009 (0.19126 sec/rel)

30-bit large primes, small primes up to 2^26-1:

Code:

Warning:  lowering FB_bound to 19999999.
total yield: 1248, q=20001001 (0.33797 sec/rel)
Warning:  lowering FB_bound to 24999999.
total yield: 1350, q=25001029 (0.31359 sec/rel)
Warning:  lowering FB_bound to 29999999.
total yield: 1075, q=30001003 (0.33308 sec/rel)
Warning:  lowering FB_bound to 34999999.
total yield: 1021, q=35001013 (0.32009 sec/rel)
Warning:  lowering FB_bound to 39999999.
total yield: 1602, q=40001021 (0.31564 sec/rel)
Warning:  lowering FB_bound to 44999999.
total yield: 1598, q=45001001 (0.31309 sec/rel)
Warning:  lowering FB_bound to 49999999.
total yield: 1355, q=50001037 (0.32089 sec/rel)
Warning:  lowering FB_bound to 54999999.
total yield: 1103, q=55001003 (0.33741 sec/rel)
Warning:  lowering FB_bound to 59999999.
total yield: 990, q=60001021 (0.33479 sec/rel)
Warning:  lowering FB_bound to 64999999.
total yield: 1538, q=65001019 (0.31241 sec/rel)
total yield: 1078, q=70001011 (0.31391 sec/rel)
total yield: 1362, q=75001001 (0.32081 sec/rel)
total yield: 1291, q=80001017 (0.33874 sec/rel)
total yield: 1375, q=85001011 (0.35340 sec/rel)
total yield: 1242, q=90001003 (0.34574 sec/rel)
total yield: 1172, q=95001001 (0.36020 sec/rel)
total yield: 990, q=100001029 (0.38524 sec/rel)
total yield: 1017, q=105001007 (0.37437 sec/rel)
total yield: 1441, q=110001053 (0.36577 sec/rel)
total yield: 1375, q=115001009 (0.38341 sec/rel)

fivemack · 2010-02-24, 12:48

Unfortunately my line is now crippled to the point of not transmitting data at all, so somebody else had better do the post-processing.

bsquared · 2010-02-24, 14:13

I can do a lot of sieving on nights and weekends, but I can't commit a box for the length of time the LA would take...

FactorEyes · 2010-02-24, 16:44

I'll do the post-processing.

How difficult is it to set up a home ftp server on a Linux box? I don't have a static IP, so I don't think that will be a good idea.

Ideas?

2010-02-24, 16:44	#869
FactorEyes Oct 2006 vomit_frame_pointer 550₈ Posts	Linear Algebra, huh? I'll do the post-processing. How difficult is it to set up a home ftp server on a Linux box? I don't have a static IP, so I don't think that will be a good idea. Ideas?

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