Current status
 

NFSnet is presently working on 2^787-1, and has accumulated about 15 million relations, at a rate of a little over a million a day.

There is something bearing a vague resemblance to a status page at

[url]http://www.chiark.greenend.org.uk/~twomack/nfsnet.html[/url]

but at present it is updated only manually; I have not yet (after nine months!) accumulated the effort to write the scripts to do automatic generation of the recent-contributions section.

[QUOTE=fivemack;120463]NFSnet is presently working on 2^787-1, and has accumulated about 15 million relations, at a rate of a little over a million a day.

There is something bearing a vague resemblance to a status page at

[url]http://www.chiark.greenend.org.uk/~twomack/nfsnet.html[/url]

but at present it is updated only manually; I have not yet (after nine months!) accumulated the effort to write the scripts to do automatic generation of the recent-contributions section.[/QUOTE]

Nice!

[LEFT]I notice one thing on the Cunningham Table extension pages.
Last link refers to Factoring News from Brazil (in Portuguese)...I'm Portuguese and the text is not related to math factoring.....just wanted you guys to know about it.
[/LEFT]

[QUOTE=em99010pepe;120553][LEFT]I notice one thing on the Cunningham Table extension pages.
Last link refers to Factoring News from Brazil (in Portuguese)...I'm Portuguese and the text is not related to math factoring.....just wanted you guys to know about it.
[/LEFT][/QUOTE]

Thanks for pointing this out. The page referenced is maintained by Prof. Sam Wagstaff.

I advise to take that link off....I really don't understand the meaning of factoring when it concerns to companies but making a quick search it's related to credit, leasing, etc...

EDIT: Factoring is some kind of financial credit...

BTW, I'm sorry for flooding this thread. After solving the link issue you can delete my posts.

Carlos

Carlos,

As with any area of interest, there are words that have significantly different meaning depending upon the context.

In financial circles, "factoring" has to do with the practice of "selling" accounts receivable in order to obtain ready cash.

However, on this forum, I am likely to be the only member that have used the term in that context.

Here, "factoring" refers to the mathematical concept of reducing a number to an equivalent product of prime numbers.

Email sent to Sam Wagstaff....

[QUOTE=Wacky;120564]However, on this forum, I am likely to be the only member that have used the term in that context.[/QUOTE]Ahem.

Paul

[QUOTE=xilman;120587]Ahem.

Paul[/QUOTE]

Can't say that I've _used_ factor as a financial term, but one can't
pull up a google page on integer factorization without getting sponsored
links advertizing the wrong use (un-intended, that is). Seems to be
a flaw in their algorithm; or perhaps an "error on purpose" that might
have some effect on their ad revenue.

Just noticed something I liked about Tom's new status page; unless
I'm imagining, it seems to have been updated already, with Dec 12
reln counts. Not a replacement for individual or team stats, with the
intended focus on raising rates from new and/or smaller users; but
perhaps we can regard this as a NFSNET team stat, and compete with
ourselves to raise the (total) daily rate.

Any chance this is one of those English/European social things? Here's our
chance to demonstrate Community effort; freed from the (nasty) effects
of individual pride and greed. Go Team! -Bruce

[QUOTE=bdodson;120591]Can't say that I've _used_ factor as a financial term ...[/QUOTE]When on the lecture circuit after the RSA-129 factorization, I used to show a slide copied from an article in the (I think) [i]The Times[/i] entitled [i]Make Money from Factoring[/i]. The joke, of course, being that the article was about financial engineering.

Some years later I was invited to brief some moderately high-up people in the Bank of England on the implications of a public demonstration of the factoring of a hard 512-bit number. The same ambiguity was noted at that meeting.

Paul

[QUOTE=bdodson;120591]
Just noticed something I liked about Tom's new status page; unless
I'm imagining, it seems to have been updated already, with Dec 12
reln counts. ...[/QUOTE]

I've already noticed more that I like here. The daily CPU count went
from 93 on Sunday, to 90 then 89 then 86. I've taken the opportunity
to reset eight cpus that people had rebooted since I last did resets on
Sunday. I could probably pick up a few more, but it's finals week here;
prime-time for user complaints (these are Macs in our digital lab, running
the nfsnet version of the line siever), so I'll hold off for next week. One
can also see Saturday's cpu count down to 76; looks like there was an
extra quota of resets on Friday. Not that resets here are the only source
of variations; but my impression is that the other two large contributors
are more stable.

Again, here's your chance to make a bump in the cpu count; if our max
goes up above 93, that'd be due to your cpu(s). -Bruce

Sam replied and as soon as he permits I'll post his reply...it's very funny. The link was added by him as a joke!!!!

Carlos

[QUOTE=fivemack;120463]NFSnet is presently working on 2^787-1, and has accumulated about 15 million relations, at a rate of a little over a million a day.

There is something bearing a vague resemblance to a status page at

[url]http://www.chiark.greenend.org.uk/~twomack/nfsnet.html[/url]

but at present it is updated only manually; I have not yet (after nine months!) accumulated the effort to write the scripts to do automatic generation of the recent-contributions section.[/QUOTE]


I have finished sieving 6,299- and have started 2,776+.

[QUOTE=fivemack;120463]NFSnet is presently working on 2^787-1, and has accumulated about 15 million relations, at a rate of a little over a million a day.
...[/QUOTE]

Richard brings to my attention that Tom's stats are only tracking relations
from the line siever. Both Greg and now Richard are lattice sieving; and
the count yesterday was

[QUOTE] ... [we have] 50M unique relations and we are adding 4.5M per day ...[/QUOTE]

which is surely past halfway done. We're still welcoming people running
the line siever (without too much attention); as well as contributions from
experienced lattice sieving people. To recall, the number in question is
a base-2, M787, which has been the #1 most wanted number on Sam's
Cunningham page for some time. -Bruce

I estimate about one more week for 2,787-.
During that time, I hope to get the version of the lattice siever that puts out tracking info from its current manually run state to something that will work like our linesiever.

I've added that information to the stats page. Effectively distributed lattice sieving will be a fantastic addition to nfsnet; I suspect linear algebra will start to be the bottleneck on numbers not very much larger than the present more-wanteds.

I presume from the most recent Wagstaff circular that 2,787+ is the next project; what are the plans for the one after that?

After 2.787+ ... well, that is next year :)

As for the LA being the bottleneck, that partly depends on Paul.
With at least 3 of us capable of handling a reasonably large matrix, I'm not sure that we cannot keep ahead of the sievers.

If we pick something sufficiently difficult, we might even be able to allow "off line" sievers to participate and still have time to send in their relations by banana boat.

6,383+ might be interesting ....

:)

[QUOTE=Wacky;120715]After 2.787+ ... well, that is next year :)

As for the LA being the bottleneck, that partly depends on Paul.
With at least 3 of us capable of handling a reasonably large matrix, I'm not sure that we cannot keep ahead of the sievers.
[/QUOTE]

It all depends on the value of 'reasonably': the recent runs with matrix weights >500 million are no longer fitting quite as comfortably on 4G machines as earlier runs did, and >800 million looks to be getting troublesome, though 8G of 'slow' PC5300 RAM will fit on most core2 motherboards and costs $288 from crucial.

Fitting a curve to the last few runs suggests that weight hits 8e8 at about 825 bits and 1e9 around SNFS difficulty 255 (850 bits), which is just above anything in the current wanted list. I did some parameter selection for 2,841- and got an expected run-time with lattice sieving using the source code from ggnfs.sourceforge.net of about 12 GHz-years, or not very many weeks on a hundred modern CPUs.

6+383 is, I reckon, no more than 4 GHz-years; a minnow too small to be worthy of the appetite of the enhanced-NFSnet whale ... I hope :whistle:

I am well into verifying that with proper choice of parameters a 516-bit GNFS is not significantly more than 1 GHz-year, and a large enough whale might be able to take a good bite into 170-digits territory. Sadly, 170-digits territory is fairly bare; 2^2154+1, given that 2,2154L is done and 2,2154M reduced to C171 ?

[QUOTE=fivemack;120727]I am well into verifying that with proper choice of parameters a 516-bit GNFS is not significantly more than 1 GHz-year[/QUOTE]I'm doing a 516-bit GNFS. The sieving is predicted to take ~110 days on a 2.2GHz AMD-64.

That is well under 1GHz-year. I doubt very much that the post-processing will take the total cost over 1 GHz-year.

Paul

Well, we now have about 90M unique relations for 2,787-.
The sievers are switched to 2,787+. It should take a few weeks.

Greg reports the factors of
10,239- c228 as

prp54 factor: 383155477843726029783939406113226468701730728790004161
prp81 factor: 128780300340244872385688233345188210841783983757299260103530718169486826135819357
prp94 factor: 3290967632861131703281828943635774383301940171982919699073443165222894023742681701403432993547

I've updated the nfsnet.html page; sorry, I'd got out of the habit over Christmas. Roughly how many relations have the lattice-sievers brought in to date?

How's the linear algebra for 2,787- going? Assuming there were no power outages over Christmas, it ought to be finished pretty soon.

Tom

Updated nfsnet.html again to reflect completion of 2,787- and of sieving for 2,787+

[QUOTE=fivemack;122675]Updated nfsnet.html again to reflect completion of 2,787- and of sieving for 2,787+[/QUOTE]


Nothing new has been posted in quite a while......

[url]http://www.chiark.greenend.org.uk/~twomack/nfsnet.html[/url]

It would be nice to know what number is being currently sieved.

[QUOTE=R.D. Silverman;132296]Nothing new has been posted in quite a while......

[url]http://www.chiark.greenend.org.uk/~twomack/nfsnet.html[/url]

It would be nice to know what number is being currently sieved.[/QUOTE]

We recently finished sieving "6,298+ c215 NFSNET" and switched to
"7,271- c214 NFSNET", as on the who's factoring which number link
on Sam's page. -Bruce

[QUOTE=bdodson;132299]We recently finished sieving "6,298+ c215 NFSNET" and switched to
"7,271- c214 NFSNET", as on the who's factoring which number link
on Sam's page. -Bruce[/QUOTE]


It certainly is nice to have resources!

[QUOTE=bdodson;132299]We recently finished sieving "6,298+ c215 NFSNET" and switched to
"7,271- c214 NFSNET", as on the who's factoring which number link
on Sam's page. -Bruce[/QUOTE]


Is it your opinion that running ECM on the Cunningham table is no longer
worthwhile except perhaps for an intense effort on a large NFS candidate?

[QUOTE=R.D. Silverman;132304]Is it your opinion that running ECM on the Cunningham table is no longer
worthwhile except perhaps for an intense effort on a large NFS candidate?[/QUOTE]

The NFSNET resources are mostly Richard's and Greg's; I'm down
to 16 old 32-bit xeons, plus my office pc. For ecm I switched the pentiums
on the condor pc/grid over to running BMtR first holes (there are lots,
b = 13, ..., 99), since the Cunninghams under c190 are past t55.
Looks like I can keep the core2duos busy on ecm for near-term sieving
candidates. Greg's 12,241- (with Richard running the 18M^2 matrix)
and the new Childers/Dodson number 3,547- are both at snfs difficulty
260; the two 10,257's (minus and plus) at difficulty 257. A typical candidate
(above c190) is at 4*t50, and I like to have time to run a new t55.
I'm waiting to see how the next ecm miss looks before raising the
ecm pretests (ecm "factoring" doesn't seem to be the correct term;
there's such a small chance of there being a factor in range, and then
a small chance of removing a p54, say).

On the topic of trying to factor Cunninghams by ecm, the only numbers
below 2*t50 are in c251-c299 (with most base-2's already done to 2*t50).
Numbers in c190-c233 of difficulty above 250 only got 3*t50; and
c234-c250 is at 2*t50. The rest of c190-c233 at 4*t50, with c154-c189
at 7*t50 (well past t55). The problem here, as became clear in Tom's
timings, is that 20% of the runtime for the 64-bit ggnfs lattice siever is
long past for most of these; the only excuse for more ecm being that
the hardware doesn't support sieving. That's probably still the case
on the pc-grid; even with ecm we have reports of condor not exiting
sufficiently quickly, and condor on public sites may be restricted to
overnight use. Doesn't seem like the time for experimenting with sieving
there; plenty of large nfs near-term candidates, and small BMtR factors
for amusement.

For condor on the clusters, Opterons and quadcores, gnfs-lasieve seems
to be effectively cpu-bound --- factor base generated at each start
and kept in memory, no disc writes, not much network stress (by
comparision to serving up graphics files, for example). As near as I
can tell 350 cores sustained runs well, hard to justify running ecm there.
Only reason for not clearing out bunches of smaller difficulty Cunninghams,
all of the more & most wanted, say, is overhead in switching numbers.
We have a few more candidates in c245-c250 with difficulties in
250-260; but Greg suggests starting to focus on c255-and-up. -Bruce

PS - epfl found another p61, so there is now no bdodson number in the
top10 ecm of the year, first time since 2002.

OK, I've updated with the currently-running number and a note about the two sievings completed recently but without factors yet.

[QUOTE=R.D. Silverman;132296]
It would be nice to know what number is being currently sieved.[/QUOTE]

since there is no update in the site [url]http://www.nfsnet.org/[/url]
I collect some information from NFSnetClient.exe windows,and here are some of them:

7_271M_1

[CODE]
2008-04-17 11:09:34 Received assignment (Bristol 7_271M_1 14023185-14023225)... 73
2008-04-18 12:37:25 Received assignment (Bristol 7_271M_1 14088552-14088860)... 2013 2086
2008-04-19 13:07:10 Received assignment (Bristol 7_271M_1 14166134-14166697)... 3509 5595
2008-04-20 13:07:20 Received assignment (Bristol 7_271M_1 14245604-14246125)... 2535 8130
2008-04-21 16:41:13 Received assignment (Bristol 7_271M_1 14334243-14334804)... 3264 11394
2008-04-23 22:34:12 Received assignment (Bristol 7_271M_1 14495753-14496319)... 1585 12979
2008-04-24 08:36:50 Received assignment (Bristol 7_271M_1 14527685-14528251)... 7 12986
2008-04-25 11:45:45 Received assignment (Bristol 7_271M_1 14614169-14614731)... 3333 16319
2008-04-26 21:05:51 Received assignment (Bristol 7_271M_1 14717281-14717855)... 3626 19945
------------------- --------------------------------------------------------------------
19945

[/CODE]

I try to keep the NFSNet page on Mersenne Wiki [URL="http://www.mersennewiki.org/index.php/NFSNET"]http://www.mersennewiki.org/index.php/NFSNET[/URL] reasonably up to date.

Greg

6,298+ is complete. Here's the msieve log. At the end, I ran a number of sqrts in parallel. There were 9 failed sqrt runs until the 10th one succeeded.

Greg

[CODE]Tue Apr 29 00:02:20 2008 Msieve v. 1.35
Tue Apr 29 00:02:20 2008 random seeds: 5addfcd5 bc129a14
Tue Apr 29 00:02:20 2008 factoring 30670751185586953695899765700213916748622086317438128762578867801219279770889983489152684764626983029452459844843161911247001052760240303854173415766622460470741424075373529890600574156009344115282019909216982760761 (215 digits)
Tue Apr 29 00:02:23 2008 no P-1/P+1/ECM available, skipping
Tue Apr 29 00:02:23 2008 commencing number field sieve (215-digit input)
Tue Apr 29 00:02:23 2008 R0: -1
Tue Apr 29 00:02:23 2008 R1: 404140638732382030321569800228268146688
Tue Apr 29 00:02:23 2008 A0: 16
Tue Apr 29 00:02:23 2008 A1: 0
Tue Apr 29 00:02:23 2008 A2: 0
Tue Apr 29 00:02:23 2008 A3: 0
Tue Apr 29 00:02:23 2008 A4: 0
Tue Apr 29 00:02:23 2008 A5: 0
Tue Apr 29 00:02:23 2008 A6: 9
Tue Apr 29 00:02:23 2008 size score = 2.112320e-11, Murphy alpha = 0.491513, combined = 1.835569e-11
Tue Apr 29 00:07:07 2008 restarting with 97544545 relations
Tue Apr 29 00:07:07 2008
Tue Apr 29 00:07:07 2008 commencing relation filtering
Tue Apr 29 00:07:07 2008 commencing duplicate removal, pass 1
... errors snipped ...
Tue Apr 29 00:22:27 2008 found 14114677 hash collisions in 97544409 relations
Tue Apr 29 00:22:27 2008 commencing duplicate removal, pass 2
Tue Apr 29 00:27:16 2008 found 381 duplicates and 97544028 unique relations
Tue Apr 29 00:27:16 2008 memory use: 504.8 MB
Tue Apr 29 00:27:53 2008 ignoring smallest 3772006 rational and 3769228 algebraic ideals
Tue Apr 29 00:27:53 2008 filtering rational ideals above 63766528
Tue Apr 29 00:27:53 2008 filtering algebraic ideals above 63766528
Tue Apr 29 00:27:53 2008 need 11311851 more relations than ideals
Tue Apr 29 00:27:53 2008 commencing singleton removal, pass 1
Tue Apr 29 00:44:08 2008 relations with 0 large ideals: 1424983
Tue Apr 29 00:44:08 2008 relations with 1 large ideals: 8795020
Tue Apr 29 00:44:08 2008 relations with 2 large ideals: 23517853
Tue Apr 29 00:44:08 2008 relations with 3 large ideals: 32695225
Tue Apr 29 00:44:08 2008 relations with 4 large ideals: 23752377
Tue Apr 29 00:44:08 2008 relations with 5 large ideals: 7358570
Tue Apr 29 00:44:08 2008 relations with 6 large ideals: 0
Tue Apr 29 00:44:08 2008 relations with 7+ large ideals: 0
Tue Apr 29 00:44:08 2008 97544028 relations and about 61834158 large ideals
Tue Apr 29 00:44:08 2008 commencing singleton removal, pass 2
Tue Apr 29 01:00:28 2008 found 14505146 singletons
Tue Apr 29 01:00:28 2008 current dataset: 83038882 relations and about 46437499 large ideals
Tue Apr 29 01:00:28 2008 commencing singleton removal, pass 3
Tue Apr 29 01:14:37 2008 relations with 0 large ideals: 1424983
Tue Apr 29 01:14:37 2008 relations with 1 large ideals: 8304266
Tue Apr 29 01:14:37 2008 relations with 2 large ideals: 20993488
Tue Apr 29 01:14:37 2008 relations with 3 large ideals: 27647015
Tue Apr 29 01:14:37 2008 relations with 4 large ideals: 19057640
Tue Apr 29 01:14:37 2008 relations with 5 large ideals: 5611490
Tue Apr 29 01:14:37 2008 relations with 6 large ideals: 0
Tue Apr 29 01:14:37 2008 relations with 7+ large ideals: 0
Tue Apr 29 01:14:37 2008 83038882 relations and about 58348089 large ideals
Tue Apr 29 01:14:37 2008 commencing singleton removal, pass 4
Tue Apr 29 01:29:00 2008 found 11799728 singletons
Tue Apr 29 01:29:00 2008 current dataset: 71239154 relations and about 45856713 large ideals
Tue Apr 29 01:29:00 2008 commencing singleton removal, pass 5
Tue Apr 29 01:41:46 2008 found 2241544 singletons
Tue Apr 29 01:41:46 2008 current dataset: 68997610 relations and about 43585194 large ideals
Tue Apr 29 01:41:46 2008 commencing singleton removal, pass 6
Tue Apr 29 01:54:16 2008 found 385031 singletons
Tue Apr 29 01:54:16 2008 current dataset: 68612579 relations and about 43199234 large ideals
Tue Apr 29 01:54:16 2008 commencing singleton removal, final pass
Tue Apr 29 02:18:50 2008 memory use: 1250.4 MB
Tue Apr 29 02:18:51 2008 commencing in-memory singleton removal
Tue Apr 29 02:19:07 2008 begin with 68612579 relations and 50045431 unique ideals
Tue Apr 29 02:21:32 2008 reduce to 62478729 relations and 43789501 ideals in 13 passes
Tue Apr 29 02:21:32 2008 max relations containing the same ideal: 38
Tue Apr 29 02:22:14 2008 removing 2922505 relations and 2522505 ideals in 400000 cliques
Tue Apr 29 02:22:17 2008 commencing in-memory singleton removal
Tue Apr 29 02:22:24 2008 begin with 59556224 relations and 43789501 unique ideals
Tue Apr 29 02:23:29 2008 reduce to 59487267 relations and 41197511 ideals in 8 passes
Tue Apr 29 02:23:29 2008 max relations containing the same ideal: 37
Tue Apr 29 02:24:06 2008 removing 2183082 relations and 1783082 ideals in 400000 cliques
Tue Apr 29 02:24:08 2008 commencing in-memory singleton removal
Tue Apr 29 02:24:15 2008 begin with 57304185 relations and 41197511 unique ideals
Tue Apr 29 02:25:00 2008 reduce to 57261289 relations and 39371238 ideals in 6 passes
Tue Apr 29 02:25:00 2008 max relations containing the same ideal: 36
Tue Apr 29 02:25:35 2008 removing 1943002 relations and 1543002 ideals in 400000 cliques
Tue Apr 29 02:25:37 2008 commencing in-memory singleton removal
Tue Apr 29 02:25:43 2008 begin with 55318287 relations and 39371238 unique ideals
Tue Apr 29 02:26:27 2008 reduce to 55281837 relations and 37791581 ideals in 6 passes
Tue Apr 29 02:26:27 2008 max relations containing the same ideal: 36
Tue Apr 29 02:27:00 2008 removing 1803103 relations and 1403103 ideals in 400000 cliques
Tue Apr 29 02:27:02 2008 commencing in-memory singleton removal
Tue Apr 29 02:27:08 2008 begin with 53478734 relations and 37791581 unique ideals
Tue Apr 29 02:27:49 2008 reduce to 53445956 relations and 36355506 ideals in 6 passes
Tue Apr 29 02:27:49 2008 max relations containing the same ideal: 36
Tue Apr 29 02:28:21 2008 removing 1708013 relations and 1308013 ideals in 400000 cliques
Tue Apr 29 02:28:23 2008 commencing in-memory singleton removal
Tue Apr 29 02:28:28 2008 begin with 51737943 relations and 36355506 unique ideals
Tue Apr 29 02:29:02 2008 reduce to 51706820 relations and 35016152 ideals in 5 passes
Tue Apr 29 02:29:02 2008 max relations containing the same ideal: 35
Tue Apr 29 02:29:32 2008 removing 1636852 relations and 1236852 ideals in 400000 cliques
Tue Apr 29 02:29:34 2008 commencing in-memory singleton removal
Tue Apr 29 02:29:39 2008 begin with 50069968 relations and 35016152 unique ideals
Tue Apr 29 02:30:11 2008 reduce to 50040632 relations and 33749764 ideals in 5 passes
Tue Apr 29 02:30:11 2008 max relations containing the same ideal: 34
Tue Apr 29 02:30:41 2008 removing 1576995 relations and 1176995 ideals in 400000 cliques
Tue Apr 29 02:30:43 2008 commencing in-memory singleton removal
Tue Apr 29 02:30:48 2008 begin with 48463637 relations and 33749764 unique ideals
Tue Apr 29 02:31:24 2008 reduce to 48435055 relations and 32544005 ideals in 6 passes
Tue Apr 29 02:31:24 2008 max relations containing the same ideal: 32
Tue Apr 29 02:31:53 2008 removing 1540682 relations and 1140682 ideals in 400000 cliques
Tue Apr 29 02:31:54 2008 commencing in-memory singleton removal
Tue Apr 29 02:31:59 2008 begin with 46894373 relations and 32544005 unique ideals
Tue Apr 29 02:32:28 2008 reduce to 46866911 relations and 31375703 ideals in 5 passes
Tue Apr 29 02:32:28 2008 max relations containing the same ideal: 31
Tue Apr 29 02:32:56 2008 removing 1484856 relations and 1084856 ideals in 400000 cliques
Tue Apr 29 02:32:57 2008 commencing in-memory singleton removal
Tue Apr 29 02:33:02 2008 begin with 45382055 relations and 31375703 unique ideals
Tue Apr 29 02:33:30 2008 reduce to 45351066 relations and 30259615 ideals in 5 passes
Tue Apr 29 02:33:30 2008 max relations containing the same ideal: 31
Tue Apr 29 02:33:56 2008 removing 1467042 relations and 1067042 ideals in 400000 cliques
Tue Apr 29 02:33:57 2008 commencing in-memory singleton removal
Tue Apr 29 02:34:02 2008 begin with 43884024 relations and 30259615 unique ideals
Tue Apr 29 02:34:28 2008 reduce to 43857879 relations and 29166244 ideals in 5 passes
Tue Apr 29 02:34:28 2008 max relations containing the same ideal: 31
Tue Apr 29 02:34:53 2008 removing 1418308 relations and 1018308 ideals in 400000 cliques
Tue Apr 29 02:34:55 2008 commencing in-memory singleton removal
Tue Apr 29 02:34:59 2008 begin with 42439571 relations and 29166244 unique ideals
Tue Apr 29 02:35:24 2008 reduce to 42410879 relations and 28119012 ideals in 5 passes
Tue Apr 29 02:35:24 2008 max relations containing the same ideal: 29
Tue Apr 29 02:35:48 2008 removing 1405899 relations and 1005899 ideals in 400000 cliques
Tue Apr 29 02:35:50 2008 commencing in-memory singleton removal
Tue Apr 29 02:35:54 2008 begin with 41004980 relations and 28119012 unique ideals
Tue Apr 29 02:36:23 2008 reduce to 40976489 relations and 27084347 ideals in 6 passes
Tue Apr 29 02:36:23 2008 max relations containing the same ideal: 28
Tue Apr 29 02:36:46 2008 removing 1384707 relations and 984707 ideals in 400000 cliques
Tue Apr 29 02:36:47 2008 commencing in-memory singleton removal
Tue Apr 29 02:36:51 2008 begin with 39591782 relations and 27084347 unique ideals
Tue Apr 29 02:37:14 2008 reduce to 39563109 relations and 26070743 ideals in 5 passes
Tue Apr 29 02:37:14 2008 max relations containing the same ideal: 28
Tue Apr 29 02:37:37 2008 removing 1368750 relations and 968750 ideals in 400000 cliques
Tue Apr 29 02:37:38 2008 commencing in-memory singleton removal
Tue Apr 29 02:37:42 2008 begin with 38194359 relations and 26070743 unique ideals
Tue Apr 29 02:38:08 2008 reduce to 38165106 relations and 25072465 ideals in 6 passes
Tue Apr 29 02:38:08 2008 max relations containing the same ideal: 28
Tue Apr 29 02:38:29 2008 removing 1345090 relations and 945090 ideals in 400000 cliques
Tue Apr 29 02:38:30 2008 commencing in-memory singleton removal
Tue Apr 29 02:38:33 2008 begin with 36820016 relations and 25072465 unique ideals
Tue Apr 29 02:38:55 2008 reduce to 36787777 relations and 24094802 ideals in 5 passes
Tue Apr 29 02:38:55 2008 max relations containing the same ideal: 28
Tue Apr 29 02:39:15 2008 removing 1328943 relations and 928943 ideals in 400000 cliques
Tue Apr 29 02:39:16 2008 commencing in-memory singleton removal
Tue Apr 29 02:39:19 2008 begin with 35458834 relations and 24094802 unique ideals
Tue Apr 29 02:39:44 2008 reduce to 35427014 relations and 23133708 ideals in 6 passes
Tue Apr 29 02:39:44 2008 max relations containing the same ideal: 28
Tue Apr 29 02:40:03 2008 removing 1320713 relations and 920713 ideals in 400000 cliques
Tue Apr 29 02:40:04 2008 commencing in-memory singleton removal
Tue Apr 29 02:40:07 2008 begin with 34106301 relations and 23133708 unique ideals
Tue Apr 29 02:40:27 2008 reduce to 34077375 relations and 22183790 ideals in 5 passes
Tue Apr 29 02:40:27 2008 max relations containing the same ideal: 26
Tue Apr 29 02:40:45 2008 removing 1300641 relations and 900641 ideals in 400000 cliques
Tue Apr 29 02:40:46 2008 commencing in-memory singleton removal
Tue Apr 29 02:40:50 2008 begin with 32776734 relations and 22183790 unique ideals
Tue Apr 29 02:41:08 2008 reduce to 32746870 relations and 21252928 ideals in 5 passes
Tue Apr 29 02:41:08 2008 max relations containing the same ideal: 26
Tue Apr 29 02:41:25 2008 removing 663677 relations and 481587 ideals in 182090 cliques
Tue Apr 29 02:41:26 2008 commencing in-memory singleton removal
Tue Apr 29 02:41:29 2008 begin with 32083193 relations and 21252928 unique ideals
Tue Apr 29 02:41:47 2008 reduce to 32075705 relations and 20763820 ideals in 5 passes
Tue Apr 29 02:41:47 2008 max relations containing the same ideal: 25
Tue Apr 29 02:41:50 2008 filtering rational ideals above 720000
Tue Apr 29 02:41:50 2008 filtering algebraic ideals above 720000
Tue Apr 29 02:41:50 2008 need 115937 more relations than ideals
Tue Apr 29 02:41:50 2008 commencing singleton removal, final pass
Tue Apr 29 03:12:48 2008 keeping 46563745 ideals with weight <= 20, new excess is 4766805
Tue Apr 29 03:14:18 2008 memory use: 1856.3 MB
Tue Apr 29 03:14:19 2008 commencing in-memory singleton removal
Tue Apr 29 03:14:28 2008 begin with 62478729 relations and 46563745 unique ideals
Tue Apr 29 03:15:29 2008 reduce to 62475440 relations and 46560456 ideals in 6 passes
Tue Apr 29 03:15:29 2008 max relations containing the same ideal: 20
Tue Apr 29 03:16:19 2008 removing 2924574 relations and 2524574 ideals in 400000 cliques
Tue Apr 29 03:16:21 2008 commencing in-memory singleton removal
Tue Apr 29 03:16:29 2008 begin with 59550866 relations and 46560456 unique ideals
Tue Apr 29 03:17:46 2008 reduce to 59481802 relations and 43966292 ideals in 8 passes
Tue Apr 29 03:17:46 2008 max relations containing the same ideal: 20
Tue Apr 29 03:18:29 2008 removing 2184331 relations and 1784331 ideals in 400000 cliques
Tue Apr 29 03:18:31 2008 commencing in-memory singleton removal
Tue Apr 29 03:18:39 2008 begin with 57297471 relations and 43966292 unique ideals
Tue Apr 29 03:19:34 2008 reduce to 57254180 relations and 42138375 ideals in 6 passes
Tue Apr 29 03:19:34 2008 max relations containing the same ideal: 20
Tue Apr 29 03:20:14 2008 removing 1944493 relations and 1544493 ideals in 400000 cliques
Tue Apr 29 03:20:16 2008 commencing in-memory singleton removal
Tue Apr 29 03:20:24 2008 begin with 55309687 relations and 42138375 unique ideals
Tue Apr 29 03:21:17 2008 reduce to 55273066 relations and 40557051 ideals in 6 passes
Tue Apr 29 03:21:17 2008 max relations containing the same ideal: 20
Tue Apr 29 03:21:56 2008 removing 1804592 relations and 1404592 ideals in 400000 cliques
Tue Apr 29 03:21:57 2008 commencing in-memory singleton removal
Tue Apr 29 03:22:05 2008 begin with 53468474 relations and 40557051 unique ideals
Tue Apr 29 03:22:55 2008 reduce to 53435237 relations and 39119019 ideals in 6 passes
Tue Apr 29 03:22:55 2008 max relations containing the same ideal: 20
Tue Apr 29 03:23:32 2008 removing 1708732 relations and 1308732 ideals in 400000 cliques
Tue Apr 29 03:23:34 2008 commencing in-memory singleton removal
Tue Apr 29 03:23:41 2008 begin with 51726505 relations and 39119019 unique ideals
Tue Apr 29 03:24:21 2008 reduce to 51695167 relations and 37778734 ideals in 5 passes
Tue Apr 29 03:24:21 2008 max relations containing the same ideal: 20
Tue Apr 29 03:24:57 2008 removing 1642249 relations and 1242249 ideals in 400000 cliques
Tue Apr 29 03:24:58 2008 commencing in-memory singleton removal
Tue Apr 29 03:25:05 2008 begin with 50052918 relations and 37778734 unique ideals
Tue Apr 29 03:25:51 2008 reduce to 50023400 relations and 36506772 ideals in 6 passes
Tue Apr 29 03:25:51 2008 max relations containing the same ideal: 20
Tue Apr 29 03:26:25 2008 removing 1579254 relations and 1179254 ideals in 400000 cliques
Tue Apr 29 03:26:27 2008 commencing in-memory singleton removal
Tue Apr 29 03:26:33 2008 begin with 48444146 relations and 36506772 unique ideals
Tue Apr 29 03:27:11 2008 reduce to 48415713 relations and 35298908 ideals in 5 passes
Tue Apr 29 03:27:11 2008 max relations containing the same ideal: 20
Tue Apr 29 03:27:44 2008 removing 1542056 relations and 1142056 ideals in 400000 cliques
Tue Apr 29 03:27:45 2008 commencing in-memory singleton removal
Tue Apr 29 03:27:51 2008 begin with 46873657 relations and 35298908 unique ideals
Tue Apr 29 03:28:27 2008 reduce to 46845940 relations and 34128933 ideals in 5 passes
Tue Apr 29 03:28:27 2008 max relations containing the same ideal: 20
Tue Apr 29 03:28:58 2008 removing 1491870 relations and 1091870 ideals in 400000 cliques
Tue Apr 29 03:29:00 2008 commencing in-memory singleton removal
Tue Apr 29 03:29:06 2008 begin with 45354070 relations and 34128933 unique ideals
Tue Apr 29 03:29:47 2008 reduce to 45323530 relations and 33006293 ideals in 6 passes
Tue Apr 29 03:29:47 2008 max relations containing the same ideal: 20
Tue Apr 29 03:30:17 2008 removing 1465497 relations and 1065497 ideals in 400000 cliques
Tue Apr 29 03:30:19 2008 commencing in-memory singleton removal
Tue Apr 29 03:30:24 2008 begin with 43858033 relations and 33006293 unique ideals
Tue Apr 29 03:30:57 2008 reduce to 43830632 relations and 31913193 ideals in 5 passes
Tue Apr 29 03:30:57 2008 max relations containing the same ideal: 20
Tue Apr 29 03:31:27 2008 removing 1430578 relations and 1030578 ideals in 400000 cliques
Tue Apr 29 03:31:28 2008 commencing in-memory singleton removal
Tue Apr 29 03:31:34 2008 begin with 42400054 relations and 31913193 unique ideals
Tue Apr 29 03:32:05 2008 reduce to 42371872 relations and 30854205 ideals in 5 passes
Tue Apr 29 03:32:05 2008 max relations containing the same ideal: 20
Tue Apr 29 03:32:33 2008 removing 1403166 relations and 1003166 ideals in 400000 cliques
Tue Apr 29 03:32:34 2008 commencing in-memory singleton removal
Tue Apr 29 03:32:39 2008 begin with 40968706 relations and 30854205 unique ideals
Tue Apr 29 03:33:15 2008 reduce to 40938362 relations and 29820427 ideals in 6 passes
Tue Apr 29 03:33:15 2008 max relations containing the same ideal: 20
Tue Apr 29 03:33:42 2008 removing 1396537 relations and 996537 ideals in 400000 cliques
Tue Apr 29 03:33:44 2008 commencing in-memory singleton removal
Tue Apr 29 03:33:49 2008 begin with 39541825 relations and 29820427 unique ideals
Tue Apr 29 03:34:23 2008 reduce to 39513211 relations and 28795041 ideals in 6 passes
Tue Apr 29 03:34:23 2008 max relations containing the same ideal: 20
Tue Apr 29 03:34:49 2008 removing 1371402 relations and 971402 ideals in 400000 cliques
Tue Apr 29 03:34:50 2008 commencing in-memory singleton removal
Tue Apr 29 03:34:55 2008 begin with 38141809 relations and 28795041 unique ideals
Tue Apr 29 03:35:28 2008 reduce to 38111812 relations and 27793359 ideals in 6 passes
Tue Apr 29 03:35:28 2008 max relations containing the same ideal: 20
Tue Apr 29 03:35:53 2008 removing 1356759 relations and 956759 ideals in 400000 cliques
Tue Apr 29 03:35:54 2008 commencing in-memory singleton removal
Tue Apr 29 03:35:58 2008 begin with 36755053 relations and 27793359 unique ideals
Tue Apr 29 03:36:29 2008 reduce to 36723782 relations and 26804997 ideals in 6 passes
Tue Apr 29 03:36:29 2008 max relations containing the same ideal: 20
Tue Apr 29 03:36:53 2008 removing 1339630 relations and 939630 ideals in 400000 cliques
Tue Apr 29 03:36:55 2008 commencing in-memory singleton removal
Tue Apr 29 03:36:59 2008 begin with 35384152 relations and 26804997 unique ideals
Tue Apr 29 03:37:24 2008 reduce to 35351274 relations and 25832119 ideals in 5 passes
Tue Apr 29 03:37:24 2008 max relations containing the same ideal: 20
Tue Apr 29 03:37:47 2008 removing 1324443 relations and 924443 ideals in 400000 cliques
Tue Apr 29 03:37:48 2008 commencing in-memory singleton removal
Tue Apr 29 03:37:52 2008 begin with 34026831 relations and 25832119 unique ideals
Tue Apr 29 03:38:20 2008 reduce to 33993241 relations and 24873746 ideals in 6 passes
Tue Apr 29 03:38:20 2008 max relations containing the same ideal: 20
Tue Apr 29 03:38:42 2008 removing 1323818 relations and 923818 ideals in 400000 cliques
Tue Apr 29 03:38:43 2008 commencing in-memory singleton removal
Tue Apr 29 03:38:47 2008 begin with 32669423 relations and 24873746 unique ideals
Tue Apr 29 03:39:10 2008 reduce to 32638053 relations and 23918227 ideals in 5 passes
Tue Apr 29 03:39:10 2008 max relations containing the same ideal: 20
Tue Apr 29 03:39:31 2008 removing 1305940 relations and 905940 ideals in 400000 cliques
Tue Apr 29 03:39:32 2008 commencing in-memory singleton removal
Tue Apr 29 03:39:36 2008 begin with 31332113 relations and 23918227 unique ideals
Tue Apr 29 03:39:57 2008 reduce to 31299555 relations and 22979371 ideals in 5 passes
Tue Apr 29 03:39:57 2008 max relations containing the same ideal: 20
Tue Apr 29 03:40:17 2008 removing 1296861 relations and 896861 ideals in 400000 cliques
Tue Apr 29 03:40:18 2008 commencing in-memory singleton removal
Tue Apr 29 03:40:22 2008 begin with 30002694 relations and 22979371 unique ideals
Tue Apr 29 03:40:46 2008 reduce to 29968098 relations and 22047492 ideals in 6 passes
Tue Apr 29 03:40:46 2008 max relations containing the same ideal: 20
Tue Apr 29 03:41:05 2008 removing 1297875 relations and 897875 ideals in 400000 cliques
Tue Apr 29 03:41:06 2008 commencing in-memory singleton removal
Tue Apr 29 03:41:09 2008 begin with 28670223 relations and 22047492 unique ideals
Tue Apr 29 03:41:32 2008 reduce to 28635411 relations and 21114361 ideals in 6 passes
Tue Apr 29 03:41:32 2008 max relations containing the same ideal: 20
Tue Apr 29 03:41:50 2008 removing 1290307 relations and 890307 ideals in 400000 cliques
Tue Apr 29 03:41:51 2008 commencing in-memory singleton removal
Tue Apr 29 03:41:55 2008 begin with 27345104 relations and 21114361 unique ideals
Tue Apr 29 03:42:13 2008 reduce to 27307558 relations and 20186020 ideals in 5 passes
Tue Apr 29 03:42:13 2008 max relations containing the same ideal: 20
Tue Apr 29 03:42:30 2008 removing 1285377 relations and 885377 ideals in 400000 cliques
Tue Apr 29 03:42:31 2008 commencing in-memory singleton removal
Tue Apr 29 03:42:34 2008 begin with 26022181 relations and 20186020 unique ideals
Tue Apr 29 03:42:55 2008 reduce to 25981624 relations and 19259476 ideals in 6 passes
Tue Apr 29 03:42:55 2008 max relations containing the same ideal: 19
Tue Apr 29 03:43:11 2008 removing 1289625 relations and 889625 ideals in 400000 cliques
Tue Apr 29 03:43:12 2008 commencing in-memory singleton removal
Tue Apr 29 03:43:15 2008 begin with 24691999 relations and 19259476 unique ideals
Tue Apr 29 03:43:34 2008 reduce to 24649112 relations and 18326370 ideals in 6 passes
Tue Apr 29 03:43:34 2008 max relations containing the same ideal: 18
Tue Apr 29 03:43:49 2008 removing 1290187 relations and 890187 ideals in 400000 cliques
Tue Apr 29 03:43:50 2008 commencing in-memory singleton removal
Tue Apr 29 03:43:53 2008 begin with 23358925 relations and 18326370 unique ideals
Tue Apr 29 03:44:08 2008 reduce to 23312410 relations and 17388940 ideals in 5 passes
Tue Apr 29 03:44:08 2008 max relations containing the same ideal: 18
Tue Apr 29 03:44:22 2008 removing 1278918 relations and 884942 ideals in 393976 cliques
Tue Apr 29 03:44:23 2008 commencing in-memory singleton removal
Tue Apr 29 03:44:26 2008 begin with 22033492 relations and 17388940 unique ideals
Tue Apr 29 03:44:42 2008 reduce to 21984595 relations and 16454328 ideals in 6 passes
Tue Apr 29 03:44:42 2008 max relations containing the same ideal: 17
Tue Apr 29 03:44:58 2008 relations with 0 large ideals: 557651
Tue Apr 29 03:44:58 2008 relations with 1 large ideals: 2844817
Tue Apr 29 03:44:58 2008 relations with 2 large ideals: 6205795
Tue Apr 29 03:44:58 2008 relations with 3 large ideals: 6806783
Tue Apr 29 03:44:58 2008 relations with 4 large ideals: 4041202
Tue Apr 29 03:44:58 2008 relations with 5 large ideals: 1299182
Tue Apr 29 03:44:58 2008 relations with 6 large ideals: 210352
Tue Apr 29 03:44:58 2008 relations with 7+ large ideals: 18813
Tue Apr 29 03:44:58 2008 commencing 2-way merge
Tue Apr 29 03:45:16 2008 reduce to 15779195 relation sets and 10248928 unique ideals
Tue Apr 29 03:45:16 2008 commencing full merge
Tue Apr 29 03:47:54 2008 memory use: 930.6 MB
Tue Apr 29 03:47:54 2008 found 8264176 cycles, need 7501128
Tue Apr 29 03:47:58 2008 weight of 7501128 cycles is about 487674518 (65.01/cycle)
Tue Apr 29 03:47:58 2008 distribution of cycle lengths:
Tue Apr 29 03:47:58 2008 1 relations: 864188
Tue Apr 29 03:47:58 2008 2 relations: 889139
Tue Apr 29 03:47:58 2008 3 relations: 994808
Tue Apr 29 03:47:58 2008 4 relations: 1000790
Tue Apr 29 03:47:58 2008 5 relations: 950344
Tue Apr 29 03:47:58 2008 6 relations: 840583
Tue Apr 29 03:47:58 2008 7 relations: 707344
Tue Apr 29 03:47:58 2008 8 relations: 560139
Tue Apr 29 03:47:58 2008 9 relations: 419186
Tue Apr 29 03:47:58 2008 10+ relations: 274607
Tue Apr 29 03:47:58 2008 heaviest cycle: 12 relations
Tue Apr 29 03:47:59 2008 commencing cycle optimization
Tue Apr 29 03:48:14 2008 start with 35388928 relations
Tue Apr 29 03:49:20 2008 pruned 684961 relations
Tue Apr 29 03:49:21 2008 memory use: 1200.3 MB
Tue Apr 29 03:49:21 2008 distribution of cycle lengths:
Tue Apr 29 03:49:21 2008 1 relations: 864188
Tue Apr 29 03:49:21 2008 2 relations: 904408
Tue Apr 29 03:49:21 2008 3 relations: 1026842
Tue Apr 29 03:49:21 2008 4 relations: 1026065
Tue Apr 29 03:49:21 2008 5 relations: 981748
Tue Apr 29 03:49:21 2008 6 relations: 859644
Tue Apr 29 03:49:21 2008 7 relations: 715680
Tue Apr 29 03:49:21 2008 8 relations: 544415
Tue Apr 29 03:49:21 2008 9 relations: 375302
Tue Apr 29 03:49:21 2008 10+ relations: 202836
Tue Apr 29 03:49:21 2008 heaviest cycle: 12 relations
Tue Apr 29 03:49:29 2008
Tue Apr 29 03:49:29 2008 commencing linear algebra
Tue Apr 29 03:49:41 2008 read 7501128 cycles
Tue Apr 29 03:50:28 2008 cycles contain 19824053 unique relations
Tue Apr 29 03:56:18 2008 read 19824053 relations
Tue Apr 29 03:58:43 2008 using 32 quadratic characters above 1073740250
Tue Apr 29 04:03:17 2008 building initial matrix
Tue Apr 29 04:10:37 2008 memory use: 2484.1 MB
Tue Apr 29 04:10:51 2008 read 7501128 cycles
Tue Apr 29 04:11:32 2008 matrix is 7500639 x 7501128 (2109.7 MB) with weight 660015900 (87.99/col)
Tue Apr 29 04:11:33 2008 sparse part has weight 470534117 (62.73/col)
Tue Apr 29 04:15:24 2008 filtering completed in 3 passes
Tue Apr 29 04:15:26 2008 matrix is 7480332 x 7480532 (2107.1 MB) with weight 659070421 (88.10/col)
Tue Apr 29 04:15:26 2008 sparse part has weight 470085530 (62.84/col)
Tue Apr 29 04:18:07 2008 read 7480532 cycles
Tue Apr 29 04:18:46 2008 matrix is 7480332 x 7480532 (2107.1 MB) with weight 659070421 (88.10/col)
Tue Apr 29 04:18:46 2008 sparse part has weight 470085530 (62.84/col)
Tue Apr 29 04:18:46 2008 saving the first 48 matrix rows for later
Tue Apr 29 04:18:51 2008 matrix is 7480284 x 7480532 (2021.0 MB) with weight 502520200 (67.18/col)
Tue Apr 29 04:18:51 2008 sparse part has weight 454978747 (60.82/col)
Tue Apr 29 04:18:51 2008 matrix includes 64 packed rows
Tue Apr 29 04:18:51 2008 using block size 43690 for processor cache size 1024 kB
Tue Apr 29 04:19:32 2008 commencing Lanczos iteration
Tue Apr 29 04:19:32 2008 memory use: 1982.4 MB

Mon May 12 16:00:53 2008 Msieve v. 1.35
Mon May 12 16:00:53 2008 random seeds: ed3600e4 7f060216
Mon May 12 16:00:53 2008 factoring 30670751185586953695899765700213916748622086317438128762578867801219279770889983489152684764626983029452459844843161911247001052760240303854173415766622460470741424075373529890600574156009344115282019909216982760761 (215 digits)
Mon May 12 16:00:56 2008 no P-1/P+1/ECM available, skipping
Mon May 12 16:00:56 2008 commencing number field sieve (215-digit input)
Mon May 12 16:00:56 2008 R0: -1
Mon May 12 16:00:56 2008 R1: 404140638732382030321569800228268146688
Mon May 12 16:00:56 2008 A0: 16
Mon May 12 16:00:56 2008 A1: 0
Mon May 12 16:00:56 2008 A2: 0
Mon May 12 16:00:56 2008 A3: 0
Mon May 12 16:00:56 2008 A4: 0
Mon May 12 16:00:56 2008 A5: 0
Mon May 12 16:00:56 2008 A6: 9
Mon May 12 16:00:56 2008 size score = 2.112320e-11, Murphy alpha = 0.491513, combined = 1.835569e-11
Mon May 12 16:00:56 2008
Mon May 12 16:00:56 2008 commencing linear algebra
Mon May 12 16:00:58 2008 read 7480532 cycles
Mon May 12 16:01:09 2008 matrix is 7480332 x 7480532 (2107.1 MB) with weight 659070421 (88.10/col)
Mon May 12 16:01:09 2008 sparse part has weight 470085530 (62.84/col)
Mon May 12 16:01:10 2008 saving the first 48 matrix rows for later
Mon May 12 16:01:19 2008 matrix is 7480284 x 7480532 (2021.0 MB) with weight 502520200 (67.18/col)
Mon May 12 16:01:20 2008 sparse part has weight 454978747 (60.82/col)
Mon May 12 16:01:20 2008 matrix includes 64 packed rows
Mon May 12 16:01:20 2008 using block size 65536 (quadrupled) for processor cache size 512 kB
Mon May 12 16:02:23 2008 commencing Lanczos iteration (2 threads)
Mon May 12 16:02:23 2008 memory use: 2038.2 MB
Mon May 12 16:02:24 2008 restarting at iteration 92819 (dim = 5869140)
Wed May 14 21:45:27 2008 lanczos halted after 118298 iterations (dim = 7480280)
Wed May 14 21:45:56 2008 recovered 49 nontrivial dependencies
Wed May 14 21:45:57 2008
Wed May 14 21:45:57 2008 commencing square root phase
Wed May 14 21:45:57 2008 reading relations for dependency 1
Wed May 14 21:45:59 2008 read 3738784 cycles
Wed May 14 21:46:36 2008 cycles contain 12163422 unique relations
Wed May 14 21:51:05 2008 read 12163422 relations
Wed May 14 21:55:21 2008 multiplying 17332254 relations
Wed May 14 23:03:07 2008 multiply complete, coefficients have about 480.25 million bits
Wed May 14 23:03:23 2008 initial square root is modulo 414267859
Thu May 15 01:21:40 2008 reading relations for dependency 2
Thu May 15 01:21:42 2008 read 3742649 cycles
Thu May 15 01:22:19 2008 cycles contain 12174330 unique relations
Thu May 15 01:25:01 2008 read 12174330 relations
Thu May 15 01:29:16 2008 multiplying 17353704 relations
Thu May 15 02:37:10 2008 multiply complete, coefficients have about 480.84 million bits
Thu May 15 02:37:26 2008 initial square root is modulo 424453087
Thu May 15 04:54:47 2008 reading relations for dependency 3
Thu May 15 04:54:49 2008 read 3739882 cycles
Thu May 15 04:55:26 2008 cycles contain 12166700 unique relations
Thu May 15 04:58:07 2008 read 12166700 relations
Thu May 15 05:02:22 2008 multiplying 17338648 relations
Thu May 15 06:10:14 2008 multiply complete, coefficients have about 480.42 million bits
Thu May 15 06:10:30 2008 initial square root is modulo 417052243
Thu May 15 08:28:34 2008 reading relations for dependency 4
Thu May 15 08:28:36 2008 read 3739607 cycles
Thu May 15 08:29:13 2008 cycles contain 12167348 unique relations
Thu May 15 08:31:54 2008 read 12167348 relations
Thu May 15 08:36:10 2008 multiplying 17338406 relations
Thu May 15 09:44:03 2008 multiply complete, coefficients have about 480.43 million bits
Thu May 15 09:44:19 2008 initial square root is modulo 417274747
Thu May 15 10:00:10 2008
Thu May 15 10:00:10 2008
Thu May 15 10:00:10 2008 Msieve v. 1.35
Thu May 15 10:00:10 2008 random seeds: 954eace5 fdd00d7e
Thu May 15 10:00:10 2008 factoring 30670751185586953695899765700213916748622086317438128762578867801219279770889983489152684764626983029452459844843161911247001052760240303854173415766622460470741424075373529890600574156009344115282019909216982760761 (215 digits)
Thu May 15 10:00:13 2008 no P-1/P+1/ECM available, skipping
Thu May 15 10:00:13 2008 commencing number field sieve (215-digit input)
Thu May 15 10:00:13 2008 R0: -1
Thu May 15 10:00:13 2008 R1: 404140638732382030321569800228268146688
Thu May 15 10:00:13 2008 A0: 16
Thu May 15 10:00:13 2008 A1: 0
Thu May 15 10:00:13 2008 A2: 0
Thu May 15 10:00:13 2008 A3: 0
Thu May 15 10:00:13 2008 A4: 0
Thu May 15 10:00:13 2008 A5: 0
Thu May 15 10:00:13 2008 A6: 9
Thu May 15 10:00:13 2008 size score = 2.112320e-11, Murphy alpha = 0.491513, combined = 1.835569e-11
Thu May 15 10:00:13 2008
Thu May 15 10:00:13 2008 commencing square root phase
Thu May 15 10:00:13 2008 reading relations for dependency 10
Thu May 15 10:00:15 2008 read 3739787 cycles
Thu May 15 10:00:20 2008
Thu May 15 10:00:20 2008
Thu May 15 10:00:20 2008 Msieve v. 1.35
Thu May 15 10:00:20 2008 random seeds: 32a2ac93 1a57a10b
Thu May 15 10:00:20 2008 factoring 30670751185586953695899765700213916748622086317438128762578867801219279770889983489152684764626983029452459844843161911247001052760240303854173415766622460470741424075373529890600574156009344115282019909216982760761 (215 digits)
Thu May 15 10:00:23 2008 no P-1/P+1/ECM available, skipping
Thu May 15 10:00:23 2008 commencing number field sieve (215-digit input)
Thu May 15 10:00:23 2008 R0: -1
Thu May 15 10:00:23 2008 R1: 404140638732382030321569800228268146688
Thu May 15 10:00:23 2008 A0: 16
Thu May 15 10:00:23 2008 A1: 0
Thu May 15 10:00:23 2008 A2: 0
Thu May 15 10:00:23 2008 A3: 0
Thu May 15 10:00:23 2008 A4: 0
Thu May 15 10:00:23 2008 A5: 0
Thu May 15 10:00:23 2008 A6: 9
Thu May 15 10:00:23 2008 size score = 2.112320e-11, Murphy alpha = 0.491513, combined = 1.835569e-11
Thu May 15 10:00:23 2008
Thu May 15 10:00:23 2008 commencing square root phase
Thu May 15 10:00:23 2008 reading relations for dependency 11
Thu May 15 10:00:24 2008 read 3742240 cycles
Thu May 15 10:00:33 2008
Thu May 15 10:00:33 2008
Thu May 15 10:00:33 2008 Msieve v. 1.35
Thu May 15 10:00:33 2008 random seeds: 8d2be2e4 9924ce87
Thu May 15 10:00:33 2008 factoring 30670751185586953695899765700213916748622086317438128762578867801219279770889983489152684764626983029452459844843161911247001052760240303854173415766622460470741424075373529890600574156009344115282019909216982760761 (215 digits)
Thu May 15 10:00:36 2008 no P-1/P+1/ECM available, skipping
Thu May 15 10:00:36 2008 commencing number field sieve (215-digit input)
Thu May 15 10:00:36 2008 R0: -1
Thu May 15 10:00:36 2008 R1: 404140638732382030321569800228268146688
Thu May 15 10:00:36 2008 A0: 16
Thu May 15 10:00:36 2008 A1: 0
Thu May 15 10:00:36 2008 A2: 0
Thu May 15 10:00:36 2008 A3: 0
Thu May 15 10:00:36 2008 A4: 0
Thu May 15 10:00:36 2008 A5: 0
Thu May 15 10:00:36 2008 A6: 9
Thu May 15 10:00:36 2008 size score = 2.112320e-11, Murphy alpha = 0.491513, combined = 1.835569e-11
Thu May 15 10:00:36 2008
Thu May 15 10:00:36 2008 commencing square root phase
Thu May 15 10:00:36 2008 reading relations for dependency 12
Thu May 15 10:00:37 2008 read 3740723 cycles
Thu May 15 10:00:53 2008 cycles contain 12167796 unique relations
Thu May 15 10:01:00 2008
Thu May 15 10:01:00 2008
Thu May 15 10:01:00 2008 Msieve v. 1.35
Thu May 15 10:01:00 2008 random seeds: 682a2d7a dec2d825
Thu May 15 10:01:00 2008 factoring 30670751185586953695899765700213916748622086317438128762578867801219279770889983489152684764626983029452459844843161911247001052760240303854173415766622460470741424075373529890600574156009344115282019909216982760761 (215 digits)
Thu May 15 10:01:03 2008 no P-1/P+1/ECM available, skipping
Thu May 15 10:01:03 2008 commencing number field sieve (215-digit input)
Thu May 15 10:01:03 2008 R0: -1
Thu May 15 10:01:03 2008 R1: 404140638732382030321569800228268146688
Thu May 15 10:01:03 2008 A0: 16
Thu May 15 10:01:03 2008 A1: 0
Thu May 15 10:01:03 2008 A2: 0
Thu May 15 10:01:03 2008 A3: 0
Thu May 15 10:01:03 2008 A4: 0
Thu May 15 10:01:03 2008 A5: 0
Thu May 15 10:01:03 2008 A6: 9
Thu May 15 10:01:03 2008 size score = 2.112320e-11, Murphy alpha = 0.491513, combined = 1.835569e-11
Thu May 15 10:01:03 2008
Thu May 15 10:01:03 2008 commencing square root phase
Thu May 15 10:01:03 2008 reading relations for dependency 13
Thu May 15 10:01:04 2008 cycles contain 12172216 unique relations
Thu May 15 10:01:04 2008 read 3741229 cycles
Thu May 15 10:01:10 2008
Thu May 15 10:01:10 2008
Thu May 15 10:01:10 2008 Msieve v. 1.35
Thu May 15 10:01:10 2008 random seeds: 207d00a9 b393139b
Thu May 15 10:01:10 2008 factoring 30670751185586953695899765700213916748622086317438128762578867801219279770889983489152684764626983029452459844843161911247001052760240303854173415766622460470741424075373529890600574156009344115282019909216982760761 (215 digits)
Thu May 15 10:01:12 2008 cycles contain 12165519 unique relations
Thu May 15 10:01:13 2008 no P-1/P+1/ECM available, skipping
Thu May 15 10:01:13 2008 commencing number field sieve (215-digit input)
Thu May 15 10:01:13 2008 R0: -1
Thu May 15 10:01:13 2008 R1: 404140638732382030321569800228268146688
Thu May 15 10:01:13 2008 A0: 16
Thu May 15 10:01:13 2008 A1: 0
Thu May 15 10:01:13 2008 A2: 0
Thu May 15 10:01:13 2008 A3: 0
Thu May 15 10:01:13 2008 A4: 0
Thu May 15 10:01:13 2008 A5: 0
Thu May 15 10:01:13 2008 A6: 9
Thu May 15 10:01:13 2008 size score = 2.112320e-11, Murphy alpha = 0.491513, combined = 1.835569e-11
Thu May 15 10:01:13 2008
Thu May 15 10:01:13 2008 commencing square root phase
Thu May 15 10:01:13 2008 reading relations for dependency 14
Thu May 15 10:01:15 2008 read 3740346 cycles
Thu May 15 10:01:23 2008
Thu May 15 10:01:23 2008
Thu May 15 10:01:23 2008 Msieve v. 1.35
Thu May 15 10:01:23 2008 random seeds: c8438e55 bd1818a0
Thu May 15 10:01:23 2008 factoring 30670751185586953695899765700213916748622086317438128762578867801219279770889983489152684764626983029452459844843161911247001052760240303854173415766622460470741424075373529890600574156009344115282019909216982760761 (215 digits)
Thu May 15 10:01:26 2008 no P-1/P+1/ECM available, skipping
Thu May 15 10:01:26 2008 commencing number field sieve (215-digit input)
Thu May 15 10:01:26 2008 R0: -1
Thu May 15 10:01:26 2008 R1: 404140638732382030321569800228268146688
Thu May 15 10:01:26 2008 A0: 16
Thu May 15 10:01:26 2008 A1: 0
Thu May 15 10:01:26 2008 A2: 0
Thu May 15 10:01:26 2008 A3: 0
Thu May 15 10:01:26 2008 A4: 0
Thu May 15 10:01:26 2008 A5: 0
Thu May 15 10:01:26 2008 A6: 9
Thu May 15 10:01:26 2008 size score = 2.112320e-11, Murphy alpha = 0.491513, combined = 1.835569e-11
Thu May 15 10:01:26 2008
Thu May 15 10:01:26 2008 commencing square root phase
Thu May 15 10:01:26 2008 reading relations for dependency 15
Thu May 15 10:01:28 2008 read 3741593 cycles
Thu May 15 10:01:39 2008 cycles contain 12168482 unique relations
Thu May 15 10:01:51 2008 cycles contain 12168313 unique relations
Thu May 15 10:02:07 2008 cycles contain 12170929 unique relations
Thu May 15 10:03:32 2008 read 12167796 relations
Thu May 15 10:03:43 2008 read 12172216 relations
Thu May 15 10:03:52 2008 read 12165519 relations
Thu May 15 10:04:19 2008 read 12168482 relations
Thu May 15 10:04:31 2008 read 12168313 relations
Thu May 15 10:04:45 2008 read 12170929 relations
Thu May 15 10:07:54 2008 multiplying 17339546 relations
Thu May 15 10:08:10 2008 multiplying 17336484 relations
Thu May 15 10:08:11 2008 multiplying 17347698 relations
Thu May 15 10:08:29 2008 multiplying 17343440 relations
Thu May 15 10:08:49 2008 multiplying 17341518 relations
Thu May 15 10:09:31 2008 multiplying 17346742 relations
Thu May 15 11:21:14 2008 multiply complete, coefficients have about 480.56 million bits
Thu May 15 11:21:25 2008 multiply complete, coefficients have about 480.45 million bits
Thu May 15 11:21:31 2008 initial square root is modulo 419568727
Thu May 15 11:21:42 2008 initial square root is modulo 417678631
Thu May 15 11:22:35 2008 multiply complete, coefficients have about 480.37 million bits
Thu May 15 11:22:52 2008 initial square root is modulo 416213731
Thu May 15 11:23:34 2008 multiply complete, coefficients have about 480.50 million bits
Thu May 15 11:23:51 2008 initial square root is modulo 418532731
Thu May 15 11:28:05 2008 multiply complete, coefficients have about 480.67 million bits
Thu May 15 11:28:23 2008 initial square root is modulo 421472911
Thu May 15 11:33:17 2008 multiply complete, coefficients have about 480.65 million bits
Thu May 15 11:33:34 2008 initial square root is modulo 421102327
Thu May 15 12:14:41 2008 reading relations for dependency 5
Thu May 15 12:14:44 2008 read 3739332 cycles
Thu May 15 12:15:26 2008 cycles contain 12166723 unique relations
Thu May 15 12:18:09 2008 read 12166723 relations
Thu May 15 12:22:58 2008 multiplying 17337836 relations
Thu May 15 13:35:40 2008 multiply complete, coefficients have about 480.40 million bits
Thu May 15 13:35:56 2008 initial square root is modulo 416807467
Thu May 15 13:55:29 2008 elapsed time 03:54:29
Thu May 15 13:56:01 2008 elapsed time 03:55:51
Thu May 15 13:59:49 2008 elapsed time 03:59:16
Thu May 15 14:00:21 2008 elapsed time 03:59:11
Thu May 15 14:19:53 2008 elapsed time 04:19:33
Thu May 15 14:24:08 2008 prp58 factor: 6695749655192816473070349489448185116388391043325628915861
Thu May 15 14:24:08 2008 prp157 factor: 4580629916741373866510420685987425296767596894289361730521421403082565184537349943441935423363092983075389430113984915244929551930948679917372203254601370901
Thu May 15 14:24:08 2008 elapsed time 04:22:45[/CODE]

7,271- is complete
 

The factorization of 7,271- is complete. The sieving for this one went faster than we expected, and therefore it was very oversieved. I initially filtered only the relations I had here in California to see the size of the matrix created. Here's that filtering log:

[CODE]Wed Apr 30 17:03:02 2008 Msieve v. 1.35
Wed Apr 30 17:03:02 2008 random seeds: ce614d56 0f3f82c1
Wed Apr 30 17:03:02 2008 factoring 1570202735775687823227275299792587949255240678988841458485824812873843448573740987093445347651779452527524043899822637837374918378380145564279643412374780873255220854192470043703802394597441053660188716054727305891 (214 digits)
Wed Apr 30 17:03:05 2008 no P-1/P+1/ECM available, skipping
Wed Apr 30 17:03:05 2008 commencing number field sieve (214-digit input)
Wed Apr 30 17:03:05 2008 R0: -1
Wed Apr 30 17:03:05 2008 R1: 107006904423598033356356300384937784807
Wed Apr 30 17:03:05 2008 A0: -7
Wed Apr 30 17:03:05 2008 A1: 0
Wed Apr 30 17:03:05 2008 A2: 0
Wed Apr 30 17:03:05 2008 A3: 0
Wed Apr 30 17:03:05 2008 A4: 0
Wed Apr 30 17:03:05 2008 A5: 0
Wed Apr 30 17:03:05 2008 A6: 1
Wed Apr 30 17:03:05 2008 size score = 5.095219e-11, Murphy alpha = 1.681313, combined = 3.151655e-11
Wed Apr 30 17:08:33 2008 restarting with 87760630 relations
Wed Apr 30 17:08:38 2008 added 45933 free relations
Wed Apr 30 17:08:38 2008
Wed Apr 30 17:08:38 2008 commencing relation filtering
Wed Apr 30 17:08:38 2008 commencing duplicate removal, pass 1
Wed Apr 30 17:10:58 2008 error -11 reading relation 14829591
Wed Apr 30 17:12:36 2008 error -11 reading relation 25238949
Wed Apr 30 17:13:33 2008 error -11 reading relation 31308757
Wed Apr 30 17:13:44 2008 error -6 reading relation 32481609
Wed Apr 30 17:16:25 2008 error -6 reading relation 49943815
Wed Apr 30 17:17:34 2008 error -1 reading relation 57402422
Wed Apr 30 17:22:19 2008 found 11681824 hash collisions in 87806557 relations
Wed Apr 30 17:22:19 2008 commencing duplicate removal, pass 2
Wed Apr 30 17:27:49 2008 found 1 duplicates and 87806556 unique relations
Wed Apr 30 17:27:49 2008 memory use: 504.8 MB
Wed Apr 30 17:28:35 2008 ignoring smallest 4692102 rational and 4691546 algebraic ideals
Wed Apr 30 17:28:35 2008 filtering rational ideals above 80412672
Wed Apr 30 17:28:35 2008 filtering algebraic ideals above 80412672
Wed Apr 30 17:28:35 2008 need 14075472 more relations than ideals
Wed Apr 30 17:28:35 2008 commencing singleton removal, pass 1
Wed Apr 30 17:42:53 2008 relations with 0 large ideals: 2697246
Wed Apr 30 17:42:53 2008 relations with 1 large ideals: 13481994
Wed Apr 30 17:42:53 2008 relations with 2 large ideals: 28028729
Wed Apr 30 17:42:53 2008 relations with 3 large ideals: 28547148
Wed Apr 30 17:42:53 2008 relations with 4 large ideals: 13360234
Wed Apr 30 17:42:53 2008 relations with 5 large ideals: 1691205
Wed Apr 30 17:42:53 2008 relations with 6 large ideals: 0
Wed Apr 30 17:42:53 2008 relations with 7+ large ideals: 0
Wed Apr 30 17:42:53 2008 87806556 relations and about 59361059 large ideals
Wed Apr 30 17:42:53 2008 commencing singleton removal, pass 2
Wed Apr 30 17:57:20 2008 found 16106641 singletons
Wed Apr 30 17:57:20 2008 current dataset: 71699915 relations and about 41988527 large ideals
Wed Apr 30 17:57:20 2008 commencing singleton removal, pass 3
Wed Apr 30 18:09:21 2008 relations with 0 large ideals: 2697246
Wed Apr 30 18:09:21 2008 relations with 1 large ideals: 12357565
Wed Apr 30 18:09:21 2008 relations with 2 large ideals: 23604743
Wed Apr 30 18:09:21 2008 relations with 3 large ideals: 22169800
Wed Apr 30 18:09:21 2008 relations with 4 large ideals: 9665843
Wed Apr 30 18:09:21 2008 relations with 5 large ideals: 1204718
Wed Apr 30 18:09:21 2008 relations with 6 large ideals: 0
Wed Apr 30 18:09:21 2008 relations with 7+ large ideals: 0
Wed Apr 30 18:09:21 2008 71699915 relations and about 52882595 large ideals
Wed Apr 30 18:09:21 2008 commencing singleton removal, pass 4
Wed Apr 30 18:21:40 2008 found 12878456 singletons
Wed Apr 30 18:21:40 2008 current dataset: 58821459 relations and about 39015433 large ideals
Wed Apr 30 18:21:40 2008 commencing singleton removal, pass 5
Wed Apr 30 18:32:13 2008 found 3033978 singletons
Wed Apr 30 18:32:13 2008 current dataset: 55787481 relations and about 35915800 large ideals
Wed Apr 30 18:32:13 2008 commencing singleton removal, pass 6
Wed Apr 30 18:42:22 2008 found 680572 singletons
Wed Apr 30 18:42:22 2008 current dataset: 55106909 relations and about 35231597 large ideals
Wed Apr 30 18:42:22 2008 commencing singleton removal, pass 7
Wed Apr 30 18:52:24 2008 found 146880 singletons
Wed Apr 30 18:52:25 2008 current dataset: 54960029 relations and about 35084528 large ideals
Wed Apr 30 18:52:25 2008 commencing singleton removal, final pass
Wed Apr 30 19:05:08 2008 memory use: 891.5 MB
Wed Apr 30 19:05:08 2008 commencing in-memory singleton removal
Wed Apr 30 19:05:14 2008 begin with 54960029 relations and 40353171 unique ideals
Wed Apr 30 19:06:37 2008 reduce to 48206171 relations and 33436890 ideals in 15 passes
Wed Apr 30 19:06:37 2008 max relations containing the same ideal: 38
Wed Apr 30 19:07:07 2008 removing 3055511 relations and 2708607 ideals in 346904 cliques
Wed Apr 30 19:07:09 2008 commencing in-memory singleton removal
Wed Apr 30 19:07:13 2008 begin with 45150660 relations and 33436890 unique ideals
Wed Apr 30 19:07:52 2008 reduce to 45039063 relations and 30615656 ideals in 8 passes
Wed Apr 30 19:07:52 2008 max relations containing the same ideal: 36
Wed Apr 30 19:08:18 2008 removing 2241215 relations and 1894311 ideals in 346904 cliques
Wed Apr 30 19:08:19 2008 commencing in-memory singleton removal
Wed Apr 30 19:08:23 2008 begin with 42797848 relations and 30615656 unique ideals
Wed Apr 30 19:08:55 2008 reduce to 42730672 relations and 28653678 ideals in 7 passes
Wed Apr 30 19:08:55 2008 max relations containing the same ideal: 35
Wed Apr 30 19:09:18 2008 filtering rational ideals above 720000
Wed Apr 30 19:09:18 2008 filtering algebraic ideals above 720000
Wed Apr 30 19:09:18 2008 need 115807 more relations than ideals
Wed Apr 30 19:09:18 2008 commencing singleton removal, final pass
Wed Apr 30 19:31:36 2008 keeping 38486470 ideals with weight <= 20, new excess is 4330137
Wed Apr 30 19:32:26 2008 memory use: 1349.3 MB
Wed Apr 30 19:32:30 2008 commencing in-memory singleton removal
Wed Apr 30 19:32:37 2008 begin with 48206171 relations and 38486470 unique ideals
Wed Apr 30 19:33:56 2008 reduce to 48156675 relations and 38436965 ideals in 10 passes
Wed Apr 30 19:33:56 2008 max relations containing the same ideal: 20
Wed Apr 30 19:34:35 2008 removing 3411460 relations and 3011460 ideals in 400000 cliques
Wed Apr 30 19:34:37 2008 commencing in-memory singleton removal
Wed Apr 30 19:34:44 2008 begin with 44745215 relations and 38436965 unique ideals
Wed Apr 30 19:35:42 2008 reduce to 44603102 relations and 35281869 ideals in 8 passes
Wed Apr 30 19:35:42 2008 max relations containing the same ideal: 20
Wed Apr 30 19:36:15 2008 removing 2506311 relations and 2106311 ideals in 400000 cliques
Wed Apr 30 19:36:17 2008 commencing in-memory singleton removal
Wed Apr 30 19:36:23 2008 begin with 42096791 relations and 35281869 unique ideals
Wed Apr 30 19:37:17 2008 reduce to 42009466 relations and 33087450 ideals in 8 passes
Wed Apr 30 19:37:17 2008 max relations containing the same ideal: 20
Wed Apr 30 19:37:48 2008 removing 2217330 relations and 1817330 ideals in 400000 cliques
Wed Apr 30 19:37:50 2008 commencing in-memory singleton removal
Wed Apr 30 19:37:55 2008 begin with 39792136 relations and 33087450 unique ideals
Wed Apr 30 19:38:39 2008 reduce to 39720026 relations and 31197368 ideals in 7 passes
Wed Apr 30 19:38:39 2008 max relations containing the same ideal: 20
Wed Apr 30 19:39:08 2008 removing 2049031 relations and 1649031 ideals in 400000 cliques
Wed Apr 30 19:39:10 2008 commencing in-memory singleton removal
Wed Apr 30 19:39:15 2008 begin with 37670995 relations and 31197368 unique ideals
Wed Apr 30 19:39:55 2008 reduce to 37603336 relations and 29480080 ideals in 7 passes
Wed Apr 30 19:39:55 2008 max relations containing the same ideal: 20
Wed Apr 30 19:40:23 2008 removing 1938326 relations and 1538326 ideals in 400000 cliques
Wed Apr 30 19:40:24 2008 commencing in-memory singleton removal
Wed Apr 30 19:40:29 2008 begin with 35665010 relations and 29480080 unique ideals
Wed Apr 30 19:41:07 2008 reduce to 35601435 relations and 27877594 ideals in 7 passes
Wed Apr 30 19:41:07 2008 max relations containing the same ideal: 20
Wed Apr 30 19:41:33 2008 removing 1852548 relations and 1452548 ideals in 400000 cliques
Wed Apr 30 19:41:34 2008 commencing in-memory singleton removal
Wed Apr 30 19:41:38 2008 begin with 33748887 relations and 27877594 unique ideals
Wed Apr 30 19:42:14 2008 reduce to 33686973 relations and 26362531 ideals in 7 passes
Wed Apr 30 19:42:14 2008 max relations containing the same ideal: 20
Wed Apr 30 19:42:38 2008 removing 1792499 relations and 1392499 ideals in 400000 cliques
Wed Apr 30 19:42:40 2008 commencing in-memory singleton removal
Wed Apr 30 19:42:44 2008 begin with 31894474 relations and 26362531 unique ideals
Wed Apr 30 19:43:12 2008 reduce to 31834177 relations and 24909150 ideals in 6 passes
Wed Apr 30 19:43:12 2008 max relations containing the same ideal: 20
Wed Apr 30 19:43:35 2008 removing 1740412 relations and 1340412 ideals in 400000 cliques
Wed Apr 30 19:43:36 2008 commencing in-memory singleton removal
Wed Apr 30 19:43:40 2008 begin with 30093765 relations and 24909150 unique ideals
Wed Apr 30 19:44:07 2008 reduce to 30031569 relations and 23505881 ideals in 6 passes
Wed Apr 30 19:44:07 2008 max relations containing the same ideal: 20
Wed Apr 30 19:44:28 2008 removing 1694342 relations and 1294342 ideals in 400000 cliques
Wed Apr 30 19:44:29 2008 commencing in-memory singleton removal
Wed Apr 30 19:44:33 2008 begin with 28337227 relations and 23505881 unique ideals
Wed Apr 30 19:45:02 2008 reduce to 28276003 relations and 22149668 ideals in 7 passes
Wed Apr 30 19:45:02 2008 max relations containing the same ideal: 20
Wed Apr 30 19:45:22 2008 removing 1658318 relations and 1258318 ideals in 400000 cliques
Wed Apr 30 19:45:23 2008 commencing in-memory singleton removal
Wed Apr 30 19:45:26 2008 begin with 26617685 relations and 22149668 unique ideals
Wed Apr 30 19:45:53 2008 reduce to 26556241 relations and 20829220 ideals in 7 passes
Wed Apr 30 19:45:53 2008 max relations containing the same ideal: 20
Wed Apr 30 19:46:11 2008 removing 1629684 relations and 1229684 ideals in 400000 cliques
Wed Apr 30 19:46:12 2008 commencing in-memory singleton removal
Wed Apr 30 19:46:15 2008 begin with 24926557 relations and 20829220 unique ideals
Wed Apr 30 19:46:37 2008 reduce to 24863765 relations and 19535997 ideals in 6 passes
Wed Apr 30 19:46:37 2008 max relations containing the same ideal: 20
Wed Apr 30 19:46:54 2008 removing 1273016 relations and 968207 ideals in 304809 cliques
Wed Apr 30 19:46:55 2008 commencing in-memory singleton removal
Wed Apr 30 19:46:58 2008 begin with 23590749 relations and 19535997 unique ideals
Wed Apr 30 19:47:18 2008 reduce to 23548834 relations and 18525413 ideals in 6 passes
Wed Apr 30 19:47:18 2008 max relations containing the same ideal: 19
Wed Apr 30 19:47:37 2008 relations with 0 large ideals: 380357
Wed Apr 30 19:47:37 2008 relations with 1 large ideals: 2081433
Wed Apr 30 19:47:37 2008 relations with 2 large ideals: 5359477
Wed Apr 30 19:47:37 2008 relations with 3 large ideals: 7209746
Wed Apr 30 19:47:37 2008 relations with 4 large ideals: 5471665
Wed Apr 30 19:47:37 2008 relations with 5 large ideals: 2378541
Wed Apr 30 19:47:37 2008 relations with 6 large ideals: 579730
Wed Apr 30 19:47:37 2008 relations with 7+ large ideals: 87885
Wed Apr 30 19:47:37 2008 commencing 2-way merge
Wed Apr 30 19:47:58 2008 reduce to 15830863 relation sets and 10807442 unique ideals
Wed Apr 30 19:47:58 2008 commencing full merge
Wed Apr 30 19:51:18 2008 memory use: 1063.0 MB
Wed Apr 30 19:51:18 2008 found 8432247 cycles, need 7739642
Wed Apr 30 19:51:22 2008 weight of 7739642 cycles is about 503092181 (65.00/cycle)
Wed Apr 30 19:51:22 2008 distribution of cycle lengths:
Wed Apr 30 19:51:22 2008 1 relations: 953364
Wed Apr 30 19:51:22 2008 2 relations: 1002954
Wed Apr 30 19:51:22 2008 3 relations: 1020658
Wed Apr 30 19:51:22 2008 4 relations: 963717
Wed Apr 30 19:51:22 2008 5 relations: 876479
Wed Apr 30 19:51:22 2008 6 relations: 772370
Wed Apr 30 19:51:22 2008 7 relations: 658213
Wed Apr 30 19:51:22 2008 8 relations: 542507
Wed Apr 30 19:51:22 2008 9 relations: 430617
Wed Apr 30 19:51:22 2008 10+ relations: 518763
Wed Apr 30 19:51:22 2008 heaviest cycle: 12 relations
Wed Apr 30 19:51:23 2008 commencing cycle optimization
Wed Apr 30 19:51:38 2008 start with 37101105 relations
Wed Apr 30 19:52:50 2008 pruned 595461 relations
Wed Apr 30 19:52:50 2008 memory use: 1270.5 MB
Wed Apr 30 19:52:50 2008 distribution of cycle lengths:
Wed Apr 30 19:52:50 2008 1 relations: 953364
Wed Apr 30 19:52:50 2008 2 relations: 1016417
Wed Apr 30 19:52:50 2008 3 relations: 1046892
Wed Apr 30 19:52:50 2008 4 relations: 980259
Wed Apr 30 19:52:50 2008 5 relations: 897094
Wed Apr 30 19:52:50 2008 6 relations: 783828
Wed Apr 30 19:52:50 2008 7 relations: 667320
Wed Apr 30 19:52:50 2008 8 relations: 540155
Wed Apr 30 19:52:50 2008 9 relations: 416474
Wed Apr 30 19:52:50 2008 10+ relations: 437839
Wed Apr 30 19:52:50 2008 heaviest cycle: 12 relations
Wed Apr 30 19:53:06 2008
Wed Apr 30 19:53:10 2008 commencing linear algebra
Wed Apr 30 19:53:12 2008 read 7739642 cycles
Wed Apr 30 19:54:02 2008 cycles contain 21132699 unique relations
Wed Apr 30 19:59:39 2008 read 21132699 relations
Wed Apr 30 20:03:33 2008 using 32 quadratic characters above 1073738354
Wed Apr 30 20:08:48 2008 building initial matrix
Wed Apr 30 20:18:11 2008 memory use: 2679.5 MB
Wed Apr 30 20:19:22 2008 read 7739642 cycles
Wed Apr 30 20:20:42 2008 matrix is 7739149 x 7739642 (2183.9 MB) with weight 690626053 (89.23/col)
Wed Apr 30 20:20:42 2008 sparse part has weight 487349475 (62.97/col)
Wed Apr 30 20:24:50 2008 filtering completed in 3 passes
Wed Apr 30 20:24:52 2008 matrix is 7716554 x 7716754 (2180.8 MB) with weight 689482743 (89.35/col)
Wed Apr 30 20:24:52 2008 sparse part has weight 486801897 (63.08/col)
Wed Apr 30 20:32:56 2008 read 7716754 cycles
Wed Apr 30 20:34:20 2008 matrix is 7716554 x 7716754 (2180.8 MB) with weight 689482743 (89.35/col)
Wed Apr 30 20:34:20 2008 sparse part has weight 486801897 (63.08/col)
Wed Apr 30 20:34:20 2008 saving the first 48 matrix rows for later
Wed Apr 30 20:34:25 2008 matrix is 7716506 x 7716754 (2092.7 MB) with weight 520659101 (67.47/col)
Wed Apr 30 20:34:25 2008 sparse part has weight 471419476 (61.09/col)
Wed Apr 30 20:34:25 2008 matrix includes 64 packed rows
Wed Apr 30 20:34:25 2008 using block size 43690 for processor cache size 1024 kB
Wed Apr 30 20:35:02 2008 commencing Lanczos iteration
Wed Apr 30 20:35:02 2008 memory use: 2057.6 MB
[/CODE]

Once I had downloaded the relations from Texas, the entire postprocessing was run:

[CODE]Fri May 16 21:44:47 2008 Msieve v. 1.35
Fri May 16 21:44:47 2008 random seeds: 6c09d5f9 86027332
Fri May 16 21:44:47 2008 factoring 1570202735775687823227275299792587949255240678988841458485824812873843448573740987093445347651779452527524043899822637837374918378380145564279643412374780873255220854192470043703802394597441053660188716054727305891 (214 digits)
Fri May 16 21:44:50 2008 no P-1/P+1/ECM available, skipping
Fri May 16 21:44:50 2008 commencing number field sieve (214-digit input)
Fri May 16 21:44:50 2008 R0: -1
Fri May 16 21:44:50 2008 R1: 107006904423598033356356300384937784807
Fri May 16 21:44:50 2008 A0: -7
Fri May 16 21:44:50 2008 A1: 0
Fri May 16 21:44:50 2008 A2: 0
Fri May 16 21:44:50 2008 A3: 0
Fri May 16 21:44:50 2008 A4: 0
Fri May 16 21:44:50 2008 A5: 0
Fri May 16 21:44:50 2008 A6: 1
Fri May 16 21:44:50 2008 size score = 5.095219e-11, Murphy alpha = 1.681313, combined = 3.151655e-11
Fri May 16 21:51:26 2008 restarting with 105916609 relations
Fri May 16 21:51:26 2008
Fri May 16 21:51:26 2008 commencing relation filtering
Fri May 16 21:51:26 2008 commencing duplicate removal, pass 1
Fri May 16 21:53:45 2008 error -11 reading relation 14829591
Fri May 16 21:55:23 2008 error -11 reading relation 25238949
Fri May 16 21:56:20 2008 error -11 reading relation 31308757
Fri May 16 21:56:31 2008 error -6 reading relation 32481609
Fri May 16 21:59:11 2008 error -6 reading relation 49943815
Fri May 16 22:00:19 2008 error -1 reading relation 57402422
Fri May 16 22:05:04 2008 error -9 reading relation 87869731
Fri May 16 22:05:44 2008 error -15 reading relation 93098796
Fri May 16 22:05:46 2008 error -11 reading relation 93354643
Fri May 16 22:05:49 2008 error -11 reading relation 93692821
Fri May 16 22:05:51 2008 error -15 reading relation 93967910
Fri May 16 22:05:56 2008 error -15 reading relation 94568757
Fri May 16 22:05:58 2008 error -15 reading relation 94933936
Fri May 16 22:06:34 2008 error -15 reading relation 99554649
Fri May 16 22:07:00 2008 error -15 reading relation 102858293
Fri May 16 22:07:23 2008 found 16334018 hash collisions in 105916594 relations
Fri May 16 22:07:23 2008 commencing duplicate removal, pass 2
Fri May 16 22:14:02 2008 found 1 duplicates and 105916593 unique relations
Fri May 16 22:14:02 2008 memory use: 504.8 MB
Fri May 16 22:14:52 2008 ignoring smallest 5065703 rational and 5065162 algebraic ideals
Fri May 16 22:14:52 2008 filtering rational ideals above 87228416
Fri May 16 22:14:52 2008 filtering algebraic ideals above 87228416
Fri May 16 22:14:52 2008 need 15196297 more relations than ideals
Fri May 16 22:14:52 2008 commencing singleton removal, pass 1
Fri May 16 22:31:28 2008 relations with 0 large ideals: 3819260
Fri May 16 22:31:28 2008 relations with 1 large ideals: 18227769
Fri May 16 22:31:28 2008 relations with 2 large ideals: 35628567
Fri May 16 22:31:28 2008 relations with 3 large ideals: 33437144
Fri May 16 22:31:28 2008 relations with 4 large ideals: 13693126
Fri May 16 22:31:28 2008 relations with 5 large ideals: 1110727
Fri May 16 22:31:28 2008 relations with 6 large ideals: 0
Fri May 16 22:31:28 2008 relations with 7+ large ideals: 0
Fri May 16 22:31:28 2008 105916593 relations and about 61561404 large ideals
Fri May 16 22:31:28 2008 commencing singleton removal, pass 2
Fri May 16 22:48:18 2008 found 13901670 singletons
Fri May 16 22:48:18 2008 current dataset: 92014923 relations and about 46912280 large ideals
Fri May 16 22:48:18 2008 commencing singleton removal, pass 3
Fri May 16 23:03:06 2008 relations with 0 large ideals: 3819260
Fri May 16 23:03:06 2008 relations with 1 large ideals: 17134471
Fri May 16 23:03:06 2008 relations with 2 large ideals: 31518388
Fri May 16 23:03:06 2008 relations with 3 large ideals: 27884246
Fri May 16 23:03:06 2008 relations with 4 large ideals: 10803661
Fri May 16 23:03:06 2008 relations with 5 large ideals: 854897
Fri May 16 23:03:06 2008 relations with 6 large ideals: 0
Fri May 16 23:03:06 2008 relations with 7+ large ideals: 0
Fri May 16 23:03:06 2008 92014923 relations and about 58730206 large ideals
Fri May 16 23:03:06 2008 commencing singleton removal, pass 4
Fri May 16 23:18:10 2008 found 11138988 singletons
Fri May 16 23:18:10 2008 current dataset: 80875935 relations and about 47042783 large ideals
Fri May 16 23:18:10 2008 commencing singleton removal, pass 5
Fri May 16 23:31:46 2008 found 1920031 singletons
Fri May 16 23:31:46 2008 current dataset: 78955904 relations and about 45103142 large ideals
Fri May 16 23:31:46 2008 commencing singleton removal, pass 6
Fri May 16 23:45:06 2008 found 288845 singletons
Fri May 16 23:45:06 2008 current dataset: 78667059 relations and about 44813800 large ideals
Fri May 16 23:45:06 2008 commencing singleton removal, final pass
Sat May 17 00:03:11 2008 memory use: 1267.0 MB
Sat May 17 00:03:11 2008 commencing in-memory singleton removal
Sat May 17 00:03:20 2008 begin with 78667059 relations and 51860455 unique ideals
Sat May 17 00:05:04 2008 reduce to 73205402 relations and 46308410 ideals in 11 passes
Sat May 17 00:05:04 2008 max relations containing the same ideal: 41
Sat May 17 00:05:49 2008 removing 2708489 relations and 2308489 ideals in 400000 cliques
Sat May 17 00:05:51 2008 commencing in-memory singleton removal
Sat May 17 00:05:59 2008 begin with 70496913 relations and 46308410 unique ideals
Sat May 17 00:06:52 2008 reduce to 70448899 relations and 43951558 ideals in 6 passes
Sat May 17 00:06:52 2008 max relations containing the same ideal: 40
Sat May 17 00:07:31 2008 removing 2045803 relations and 1645803 ideals in 400000 cliques
Sat May 17 00:07:33 2008 commencing in-memory singleton removal
Sat May 17 00:07:40 2008 begin with 68403096 relations and 43951558 unique ideals
Sat May 17 00:08:30 2008 reduce to 68372516 relations and 42274990 ideals in 6 passes
Sat May 17 00:08:30 2008 max relations containing the same ideal: 40
Sat May 17 00:09:07 2008 removing 1828404 relations and 1428404 ideals in 400000 cliques
Sat May 17 00:09:09 2008 commencing in-memory singleton removal
Sat May 17 00:09:16 2008 begin with 66544112 relations and 42274990 unique ideals
Sat May 17 00:10:05 2008 reduce to 66517301 relations and 40819611 ideals in 6 passes
Sat May 17 00:10:05 2008 max relations containing the same ideal: 40
Sat May 17 00:10:41 2008 removing 1704210 relations and 1304210 ideals in 400000 cliques
Sat May 17 00:10:42 2008 commencing in-memory singleton removal
Sat May 17 00:10:49 2008 begin with 64813091 relations and 40819611 unique ideals
Sat May 17 00:11:36 2008 reduce to 64789833 relations and 39492033 ideals in 6 passes
Sat May 17 00:11:36 2008 max relations containing the same ideal: 39
Sat May 17 00:12:11 2008 removing 1617519 relations and 1217519 ideals in 400000 cliques
Sat May 17 00:12:12 2008 commencing in-memory singleton removal
Sat May 17 00:12:19 2008 begin with 63172314 relations and 39492033 unique ideals
Sat May 17 00:12:56 2008 reduce to 63150253 relations and 38252329 ideals in 5 passes
Sat May 17 00:12:56 2008 max relations containing the same ideal: 38
Sat May 17 00:13:29 2008 removing 1552188 relations and 1152188 ideals in 400000 cliques
Sat May 17 00:13:31 2008 commencing in-memory singleton removal
Sat May 17 00:13:37 2008 begin with 61598065 relations and 38252329 unique ideals
Sat May 17 00:14:13 2008 reduce to 61577548 relations and 37079523 ideals in 5 passes
Sat May 17 00:14:13 2008 max relations containing the same ideal: 37
Sat May 17 00:14:46 2008 removing 1506317 relations and 1106317 ideals in 400000 cliques
Sat May 17 00:14:48 2008 commencing in-memory singleton removal
Sat May 17 00:14:54 2008 begin with 60071231 relations and 37079523 unique ideals
Sat May 17 00:15:28 2008 reduce to 60050748 relations and 35952623 ideals in 5 passes
Sat May 17 00:15:28 2008 max relations containing the same ideal: 36
Sat May 17 00:15:59 2008 removing 1448629 relations and 1048629 ideals in 400000 cliques
Sat May 17 00:16:00 2008 commencing in-memory singleton removal
Sat May 17 00:16:06 2008 begin with 58602119 relations and 35952623 unique ideals
Sat May 17 00:16:40 2008 reduce to 58581408 relations and 34883174 ideals in 5 passes
Sat May 17 00:16:40 2008 max relations containing the same ideal: 36
Sat May 17 00:17:10 2008 removing 1415800 relations and 1015800 ideals in 400000 cliques
Sat May 17 00:17:11 2008 commencing in-memory singleton removal
Sat May 17 00:17:17 2008 begin with 57165608 relations and 34883174 unique ideals
Sat May 17 00:17:49 2008 reduce to 57146475 relations and 33848127 ideals in 5 passes
Sat May 17 00:17:49 2008 max relations containing the same ideal: 36
Sat May 17 00:18:18 2008 removing 1376671 relations and 976671 ideals in 400000 cliques
Sat May 17 00:18:20 2008 commencing in-memory singleton removal
Sat May 17 00:18:25 2008 begin with 55769804 relations and 33848127 unique ideals
Sat May 17 00:18:56 2008 reduce to 55749066 relations and 32850566 ideals in 5 passes
Sat May 17 00:18:56 2008 max relations containing the same ideal: 35
Sat May 17 00:19:25 2008 removing 1363327 relations and 963327 ideals in 400000 cliques
Sat May 17 00:19:26 2008 commencing in-memory singleton removal
Sat May 17 00:19:31 2008 begin with 54385739 relations and 32850566 unique ideals
Sat May 17 00:20:01 2008 reduce to 54365830 relations and 31867218 ideals in 5 passes
Sat May 17 00:20:01 2008 max relations containing the same ideal: 34
Sat May 17 00:20:28 2008 removing 1341907 relations and 941907 ideals in 400000 cliques
Sat May 17 00:20:30 2008 commencing in-memory singleton removal
Sat May 17 00:20:35 2008 begin with 53023923 relations and 31867218 unique ideals
Sat May 17 00:21:04 2008 reduce to 53003540 relations and 30904792 ideals in 5 passes
Sat May 17 00:21:04 2008 max relations containing the same ideal: 32
Sat May 17 00:21:30 2008 removing 1310882 relations and 910882 ideals in 400000 cliques
Sat May 17 00:21:32 2008 commencing in-memory singleton removal
Sat May 17 00:21:37 2008 begin with 51692658 relations and 30904792 unique ideals
Sat May 17 00:22:05 2008 reduce to 51670276 relations and 29971349 ideals in 5 passes
Sat May 17 00:22:05 2008 max relations containing the same ideal: 32
Sat May 17 00:22:30 2008 removing 1304027 relations and 904027 ideals in 400000 cliques
Sat May 17 00:22:31 2008 commencing in-memory singleton removal
Sat May 17 00:22:36 2008 begin with 50366249 relations and 29971349 unique ideals
Sat May 17 00:23:03 2008 reduce to 50347103 relations and 29048041 ideals in 5 passes
Sat May 17 00:23:03 2008 max relations containing the same ideal: 32
Sat May 17 00:23:28 2008 removing 1279840 relations and 879840 ideals in 400000 cliques
Sat May 17 00:23:29 2008 commencing in-memory singleton removal
Sat May 17 00:23:34 2008 begin with 49067263 relations and 29048041 unique ideals
Sat May 17 00:24:06 2008 reduce to 49048940 relations and 28149748 ideals in 6 passes
Sat May 17 00:24:06 2008 max relations containing the same ideal: 32
Sat May 17 00:24:30 2008 removing 1265547 relations and 865547 ideals in 400000 cliques
Sat May 17 00:24:32 2008 commencing in-memory singleton removal
Sat May 17 00:24:36 2008 begin with 47783393 relations and 28149748 unique ideals
Sat May 17 00:25:01 2008 reduce to 47765164 relations and 27265831 ideals in 5 passes
Sat May 17 00:25:01 2008 max relations containing the same ideal: 31
Sat May 17 00:25:24 2008 removing 1242084 relations and 842084 ideals in 400000 cliques
Sat May 17 00:25:25 2008 commencing in-memory singleton removal
Sat May 17 00:25:29 2008 begin with 46523080 relations and 27265831 unique ideals
Sat May 17 00:25:53 2008 reduce to 46502829 relations and 26403334 ideals in 5 passes
Sat May 17 00:25:53 2008 max relations containing the same ideal: 31
Sat May 17 00:26:15 2008 removing 1242398 relations and 842398 ideals in 400000 cliques
Sat May 17 00:26:16 2008 commencing in-memory singleton removal
Sat May 17 00:26:20 2008 begin with 45260431 relations and 26403334 unique ideals
Sat May 17 00:26:39 2008 reduce to 45240623 relations and 25540957 ideals in 4 passes
Sat May 17 00:26:39 2008 max relations containing the same ideal: 30
Sat May 17 00:27:00 2008 removing 1241223 relations and 841223 ideals in 400000 cliques
Sat May 17 00:27:01 2008 commencing in-memory singleton removal
Sat May 17 00:27:05 2008 begin with 43999400 relations and 25540957 unique ideals
Sat May 17 00:27:27 2008 reduce to 43981315 relations and 24681492 ideals in 5 passes
Sat May 17 00:27:27 2008 max relations containing the same ideal: 30
Sat May 17 00:27:48 2008 removing 1219217 relations and 819217 ideals in 400000 cliques
Sat May 17 00:27:49 2008 commencing in-memory singleton removal
Sat May 17 00:27:52 2008 begin with 42762098 relations and 24681492 unique ideals
Sat May 17 00:28:13 2008 reduce to 42742778 relations and 23842767 ideals in 5 passes
Sat May 17 00:28:13 2008 max relations containing the same ideal: 29
Sat May 17 00:28:33 2008 removing 1217986 relations and 817986 ideals in 400000 cliques
Sat May 17 00:28:34 2008 commencing in-memory singleton removal
Sat May 17 00:28:38 2008 begin with 41524792 relations and 23842767 unique ideals
Sat May 17 00:28:58 2008 reduce to 41504777 relations and 23004611 ideals in 5 passes
Sat May 17 00:28:58 2008 max relations containing the same ideal: 29
Sat May 17 00:29:17 2008 removing 1203524 relations and 803524 ideals in 400000 cliques
Sat May 17 00:29:18 2008 commencing in-memory singleton removal
Sat May 17 00:29:22 2008 begin with 40301253 relations and 23004611 unique ideals
Sat May 17 00:29:41 2008 reduce to 40280105 relations and 22179723 ideals in 5 passes
Sat May 17 00:29:41 2008 max relations containing the same ideal: 29
Sat May 17 00:29:59 2008 removing 1189236 relations and 789236 ideals in 400000 cliques
Sat May 17 00:30:00 2008 commencing in-memory singleton removal
Sat May 17 00:30:04 2008 begin with 39090869 relations and 22179723 unique ideals
Sat May 17 00:30:22 2008 reduce to 39067646 relations and 21367012 ideals in 5 passes
Sat May 17 00:30:22 2008 max relations containing the same ideal: 28
Sat May 17 00:30:40 2008 removing 1182470 relations and 782470 ideals in 400000 cliques
Sat May 17 00:30:41 2008 commencing in-memory singleton removal
Sat May 17 00:30:44 2008 begin with 37885176 relations and 21367012 unique ideals
Sat May 17 00:30:58 2008 reduce to 37860228 relations and 20559323 ideals in 4 passes
Sat May 17 00:30:58 2008 max relations containing the same ideal: 28
Sat May 17 00:31:15 2008 removing 1167146 relations and 767146 ideals in 400000 cliques
Sat May 17 00:31:16 2008 commencing in-memory singleton removal
Sat May 17 00:31:19 2008 begin with 36693082 relations and 20559323 unique ideals
Sat May 17 00:31:36 2008 reduce to 36665172 relations and 19763872 ideals in 5 passes
Sat May 17 00:31:36 2008 max relations containing the same ideal: 27
Sat May 17 00:31:52 2008 removing 1185849 relations and 785849 ideals in 400000 cliques
Sat May 17 00:31:53 2008 commencing in-memory singleton removal
Sat May 17 00:31:56 2008 begin with 35479323 relations and 19763872 unique ideals
Sat May 17 00:32:13 2008 reduce to 35457686 relations and 18956055 ideals in 5 passes
Sat May 17 00:32:13 2008 max relations containing the same ideal: 27
Sat May 17 00:32:28 2008 removing 1144423 relations and 744423 ideals in 400000 cliques
Sat May 17 00:32:29 2008 commencing in-memory singleton removal
Sat May 17 00:32:32 2008 begin with 34313263 relations and 18956055 unique ideals
Sat May 17 00:32:48 2008 reduce to 34290698 relations and 18188741 ideals in 5 passes
Sat May 17 00:32:48 2008 max relations containing the same ideal: 26
Sat May 17 00:33:03 2008 removing 1150188 relations and 750188 ideals in 400000 cliques
Sat May 17 00:33:04 2008 commencing in-memory singleton removal
Sat May 17 00:33:06 2008 begin with 33140510 relations and 18188741 unique ideals
Sat May 17 00:33:18 2008 reduce to 33118962 relations and 17416675 ideals in 4 passes
Sat May 17 00:33:18 2008 max relations containing the same ideal: 25
Sat May 17 00:33:32 2008 removing 1134079 relations and 734079 ideals in 400000 cliques
Sat May 17 00:33:33 2008 commencing in-memory singleton removal
Sat May 17 00:33:36 2008 begin with 31984883 relations and 17416675 unique ideals
Sat May 17 00:33:50 2008 reduce to 31962369 relations and 16659761 ideals in 5 passes
Sat May 17 00:33:50 2008 max relations containing the same ideal: 25
Sat May 17 00:34:03 2008 removing 365636 relations and 259326 ideals in 106310 cliques
Sat May 17 00:34:04 2008 commencing in-memory singleton removal
Sat May 17 00:34:06 2008 begin with 31596733 relations and 16659761 unique ideals
Sat May 17 00:34:17 2008 reduce to 31594751 relations and 16398446 ideals in 4 passes
Sat May 17 00:34:17 2008 max relations containing the same ideal: 25
Sat May 17 00:34:20 2008 filtering rational ideals above 720000
Sat May 17 00:34:20 2008 filtering algebraic ideals above 720000
Sat May 17 00:34:20 2008 need 115807 more relations than ideals
Sat May 17 00:34:20 2008 commencing singleton removal, final pass
Sat May 17 01:13:40 2008 keeping 49871118 ideals with weight <= 20, new excess is 6567526
Sat May 17 01:15:37 2008 memory use: 1875.8 MB
Sat May 17 01:15:40 2008 commencing in-memory singleton removal
Sat May 17 01:15:50 2008 begin with 73205403 relations and 49871118 unique ideals
Sat May 17 01:17:19 2008 reduce to 73197655 relations and 49863370 ideals in 8 passes
Sat May 17 01:17:19 2008 max relations containing the same ideal: 20
Sat May 17 01:18:11 2008 removing 2711634 relations and 2311634 ideals in 400000 cliques
Sat May 17 01:18:14 2008 commencing in-memory singleton removal
Sat May 17 01:18:23 2008 begin with 70486021 relations and 49863370 unique ideals
Sat May 17 01:19:29 2008 reduce to 70437744 relations and 47503107 ideals in 6 passes
Sat May 17 01:19:29 2008 max relations containing the same ideal: 20
Sat May 17 01:20:15 2008 removing 2047304 relations and 1647304 ideals in 400000 cliques
Sat May 17 01:20:17 2008 commencing in-memory singleton removal
Sat May 17 01:20:26 2008 begin with 68390440 relations and 47503107 unique ideals
Sat May 17 01:21:29 2008 reduce to 68359430 relations and 45824594 ideals in 6 passes
Sat May 17 01:21:29 2008 max relations containing the same ideal: 20
Sat May 17 01:22:13 2008 removing 1833159 relations and 1433159 ideals in 400000 cliques
Sat May 17 01:22:15 2008 commencing in-memory singleton removal
Sat May 17 01:22:23 2008 begin with 66526271 relations and 45824594 unique ideals
Sat May 17 01:23:23 2008 reduce to 66499682 relations and 44364674 ideals in 6 passes
Sat May 17 01:23:23 2008 max relations containing the same ideal: 20
Sat May 17 01:24:05 2008 removing 1707017 relations and 1307017 ideals in 400000 cliques
Sat May 17 01:24:07 2008 commencing in-memory singleton removal
Sat May 17 01:24:15 2008 begin with 64792665 relations and 44364674 unique ideals
Sat May 17 01:25:03 2008 reduce to 64769162 relations and 43034046 ideals in 5 passes
Sat May 17 01:25:03 2008 max relations containing the same ideal: 20
Sat May 17 01:25:44 2008 removing 1620988 relations and 1220988 ideals in 400000 cliques
Sat May 17 01:25:46 2008 commencing in-memory singleton removal
Sat May 17 01:25:54 2008 begin with 63148174 relations and 43034046 unique ideals
Sat May 17 01:26:41 2008 reduce to 63126209 relations and 41790981 ideals in 5 passes
Sat May 17 01:26:41 2008 max relations containing the same ideal: 20
Sat May 17 01:27:20 2008 removing 1552058 relations and 1152058 ideals in 400000 cliques
Sat May 17 01:27:22 2008 commencing in-memory singleton removal
Sat May 17 01:27:30 2008 begin with 61574151 relations and 41790981 unique ideals
Sat May 17 01:28:15 2008 reduce to 61553185 relations and 40617842 ideals in 5 passes
Sat May 17 01:28:15 2008 max relations containing the same ideal: 20
Sat May 17 01:28:53 2008 removing 1511681 relations and 1111681 ideals in 400000 cliques
Sat May 17 01:28:55 2008 commencing in-memory singleton removal
Sat May 17 01:29:02 2008 begin with 60041504 relations and 40617842 unique ideals
Sat May 17 01:29:46 2008 reduce to 60021357 relations and 39485927 ideals in 5 passes
Sat May 17 01:29:46 2008 max relations containing the same ideal: 20
Sat May 17 01:30:24 2008 removing 1452759 relations and 1052759 ideals in 400000 cliques
Sat May 17 01:30:25 2008 commencing in-memory singleton removal
Sat May 17 01:30:33 2008 begin with 58568598 relations and 39485927 unique ideals
Sat May 17 01:31:16 2008 reduce to 58547324 relations and 38411782 ideals in 5 passes
Sat May 17 01:31:16 2008 max relations containing the same ideal: 20
Sat May 17 01:31:52 2008 removing 1421564 relations and 1021564 ideals in 400000 cliques
Sat May 17 01:31:54 2008 commencing in-memory singleton removal
Sat May 17 01:32:01 2008 begin with 57125760 relations and 38411782 unique ideals
Sat May 17 01:32:42 2008 reduce to 57106708 relations and 37371043 ideals in 5 passes
Sat May 17 01:32:42 2008 max relations containing the same ideal: 20
Sat May 17 01:33:17 2008 removing 1374565 relations and 974565 ideals in 400000 cliques
Sat May 17 01:33:19 2008 commencing in-memory singleton removal
Sat May 17 01:33:26 2008 begin with 55732143 relations and 37371043 unique ideals
Sat May 17 01:34:05 2008 reduce to 55710086 relations and 36374267 ideals in 5 passes
Sat May 17 01:34:05 2008 max relations containing the same ideal: 20
Sat May 17 01:34:39 2008 removing 1378450 relations and 978450 ideals in 400000 cliques
Sat May 17 01:34:40 2008 commencing in-memory singleton removal
Sat May 17 01:34:47 2008 begin with 54331636 relations and 36374267 unique ideals
Sat May 17 01:35:25 2008 reduce to 54312649 relations and 35376720 ideals in 5 passes
Sat May 17 01:35:25 2008 max relations containing the same ideal: 20
Sat May 17 01:35:59 2008 removing 1340341 relations and 940341 ideals in 400000 cliques
Sat May 17 01:36:00 2008 commencing in-memory singleton removal
Sat May 17 01:36:06 2008 begin with 52972308 relations and 35376720 unique ideals
Sat May 17 01:36:43 2008 reduce to 52951542 relations and 34415473 ideals in 5 passes
Sat May 17 01:36:43 2008 max relations containing the same ideal: 20
Sat May 17 01:37:15 2008 removing 1326143 relations and 926143 ideals in 400000 cliques
Sat May 17 01:37:16 2008 commencing in-memory singleton removal
Sat May 17 01:37:23 2008 begin with 51625399 relations and 34415473 unique ideals
Sat May 17 01:37:59 2008 reduce to 51604301 relations and 33468073 ideals in 5 passes
Sat May 17 01:37:59 2008 max relations containing the same ideal: 20
Sat May 17 01:38:31 2008 removing 1295829 relations and 895829 ideals in 400000 cliques
Sat May 17 01:38:33 2008 commencing in-memory singleton removal
Sat May 17 01:38:39 2008 begin with 50308472 relations and 33468073 unique ideals
Sat May 17 01:39:14 2008 reduce to 50285868 relations and 32549439 ideals in 5 passes
Sat May 17 01:39:14 2008 max relations containing the same ideal: 20
Sat May 17 01:39:44 2008 removing 1300860 relations and 900860 ideals in 400000 cliques
Sat May 17 01:39:46 2008 commencing in-memory singleton removal
Sat May 17 01:39:51 2008 begin with 48985008 relations and 32549439 unique ideals
Sat May 17 01:40:31 2008 reduce to 48966693 relations and 31630132 ideals in 6 passes
Sat May 17 01:40:31 2008 max relations containing the same ideal: 20
Sat May 17 01:41:00 2008 removing 1271210 relations and 871210 ideals in 400000 cliques
Sat May 17 01:41:01 2008 commencing in-memory singleton removal
Sat May 17 01:41:07 2008 begin with 47695483 relations and 31630132 unique ideals
Sat May 17 01:41:39 2008 reduce to 47676596 relations and 30739868 ideals in 5 passes
Sat May 17 01:41:39 2008 max relations containing the same ideal: 20
Sat May 17 01:42:07 2008 removing 1262113 relations and 862113 ideals in 400000 cliques
Sat May 17 01:42:08 2008 commencing in-memory singleton removal
Sat May 17 01:42:13 2008 begin with 46414483 relations and 30739868 unique ideals
Sat May 17 01:42:44 2008 reduce to 46395468 relations and 29858579 ideals in 5 passes
Sat May 17 01:42:44 2008 max relations containing the same ideal: 20
Sat May 17 01:43:11 2008 removing 1246086 relations and 846086 ideals in 400000 cliques
Sat May 17 01:43:12 2008 commencing in-memory singleton removal
Sat May 17 01:43:17 2008 begin with 45149382 relations and 29858579 unique ideals
Sat May 17 01:43:47 2008 reduce to 45128871 relations and 28991811 ideals in 5 passes
Sat May 17 01:43:47 2008 max relations containing the same ideal: 20
Sat May 17 01:44:13 2008 removing 1229559 relations and 829559 ideals in 400000 cliques
Sat May 17 01:44:14 2008 commencing in-memory singleton removal
Sat May 17 01:44:19 2008 begin with 43899312 relations and 28991811 unique ideals
Sat May 17 01:44:48 2008 reduce to 43877234 relations and 28139996 ideals in 5 passes
Sat May 17 01:44:48 2008 max relations containing the same ideal: 20
Sat May 17 01:45:13 2008 removing 1250958 relations and 850958 ideals in 400000 cliques
Sat May 17 01:45:14 2008 commencing in-memory singleton removal
Sat May 17 01:45:19 2008 begin with 42626276 relations and 28139996 unique ideals
Sat May 17 01:45:46 2008 reduce to 42607404 relations and 27269992 ideals in 5 passes
Sat May 17 01:45:46 2008 max relations containing the same ideal: 20
Sat May 17 01:46:11 2008 removing 1227664 relations and 827664 ideals in 400000 cliques
Sat May 17 01:46:12 2008 commencing in-memory singleton removal
Sat May 17 01:46:16 2008 begin with 41379740 relations and 27269992 unique ideals
Sat May 17 01:46:43 2008 reduce to 41359858 relations and 26422267 ideals in 5 passes
Sat May 17 01:46:43 2008 max relations containing the same ideal: 20
Sat May 17 01:47:06 2008 removing 1207703 relations and 807703 ideals in 400000 cliques
Sat May 17 01:47:07 2008 commencing in-memory singleton removal
Sat May 17 01:47:12 2008 begin with 40152155 relations and 26422267 unique ideals
Sat May 17 01:47:38 2008 reduce to 40130289 relations and 25592489 ideals in 5 passes
Sat May 17 01:47:38 2008 max relations containing the same ideal: 20
Sat May 17 01:48:00 2008 removing 1219367 relations and 819367 ideals in 400000 cliques
Sat May 17 01:48:01 2008 commencing in-memory singleton removal
Sat May 17 01:48:06 2008 begin with 38910922 relations and 25592489 unique ideals
Sat May 17 01:48:25 2008 reduce to 38889448 relations and 24751445 ideals in 4 passes
Sat May 17 01:48:25 2008 max relations containing the same ideal: 20
Sat May 17 01:48:47 2008 removing 1199461 relations and 799461 ideals in 400000 cliques
Sat May 17 01:48:48 2008 commencing in-memory singleton removal
Sat May 17 01:48:52 2008 begin with 37689987 relations and 24751445 unique ideals
Sat May 17 01:49:16 2008 reduce to 37666676 relations and 23928416 ideals in 5 passes
Sat May 17 01:49:16 2008 max relations containing the same ideal: 20
Sat May 17 01:49:37 2008 removing 1195833 relations and 795833 ideals in 400000 cliques
Sat May 17 01:49:38 2008 commencing in-memory singleton removal
Sat May 17 01:49:42 2008 begin with 36470843 relations and 23928416 unique ideals
Sat May 17 01:50:04 2008 reduce to 36446291 relations and 23107758 ideals in 5 passes
Sat May 17 01:50:04 2008 max relations containing the same ideal: 19
Sat May 17 01:50:24 2008 removing 1185803 relations and 785803 ideals in 400000 cliques
Sat May 17 01:50:25 2008 commencing in-memory singleton removal
Sat May 17 01:50:29 2008 begin with 35260488 relations and 23107758 unique ideals
Sat May 17 01:50:50 2008 reduce to 35234322 relations and 22295465 ideals in 5 passes
Sat May 17 01:50:50 2008 max relations containing the same ideal: 19
Sat May 17 01:51:10 2008 removing 1180193 relations and 780193 ideals in 400000 cliques
Sat May 17 01:51:11 2008 commencing in-memory singleton removal
Sat May 17 01:51:14 2008 begin with 34054129 relations and 22295465 unique ideals
Sat May 17 01:51:35 2008 reduce to 34025907 relations and 21486660 ideals in 5 passes
Sat May 17 01:51:35 2008 max relations containing the same ideal: 19
Sat May 17 01:51:54 2008 removing 1169725 relations and 769725 ideals in 400000 cliques
Sat May 17 01:51:55 2008 commencing in-memory singleton removal
Sat May 17 01:51:58 2008 begin with 32856182 relations and 21486660 unique ideals
Sat May 17 01:52:18 2008 reduce to 32826013 relations and 20686321 ideals in 5 passes
Sat May 17 01:52:18 2008 max relations containing the same ideal: 19
Sat May 17 01:52:36 2008 removing 1169771 relations and 769771 ideals in 400000 cliques
Sat May 17 01:52:37 2008 commencing in-memory singleton removal
Sat May 17 01:52:40 2008 begin with 31656242 relations and 20686321 unique ideals
Sat May 17 01:52:59 2008 reduce to 31625364 relations and 19885198 ideals in 5 passes
Sat May 17 01:52:59 2008 max relations containing the same ideal: 19
Sat May 17 01:53:16 2008 removing 1179227 relations and 779227 ideals in 400000 cliques
Sat May 17 01:53:17 2008 commencing in-memory singleton removal
Sat May 17 01:53:20 2008 begin with 30446137 relations and 19885198 unique ideals
Sat May 17 01:53:38 2008 reduce to 30418827 relations and 19078206 ideals in 5 passes
Sat May 17 01:53:38 2008 max relations containing the same ideal: 19
Sat May 17 01:53:54 2008 removing 1162915 relations and 762915 ideals in 400000 cliques
Sat May 17 01:53:55 2008 commencing in-memory singleton removal
Sat May 17 01:53:58 2008 begin with 29255912 relations and 19078206 unique ideals
Sat May 17 01:54:11 2008 reduce to 29227870 relations and 18286803 ideals in 4 passes
Sat May 17 01:54:11 2008 max relations containing the same ideal: 18
Sat May 17 01:54:27 2008 removing 1153672 relations and 753672 ideals in 400000 cliques
Sat May 17 01:54:28 2008 commencing in-memory singleton removal
Sat May 17 01:54:31 2008 begin with 28074198 relations and 18286803 unique ideals
Sat May 17 01:54:47 2008 reduce to 28044091 relations and 17502516 ideals in 5 passes
Sat May 17 01:54:47 2008 max relations containing the same ideal: 18
Sat May 17 01:55:02 2008 removing 1146971 relations and 746971 ideals in 400000 cliques
Sat May 17 01:55:03 2008 commencing in-memory singleton removal
Sat May 17 01:55:05 2008 begin with 26897120 relations and 17502516 unique ideals
Sat May 17 01:55:20 2008 reduce to 26864721 relations and 16722609 ideals in 5 passes
Sat May 17 01:55:20 2008 max relations containing the same ideal: 18
Sat May 17 01:55:34 2008 removing 1154679 relations and 754679 ideals in 400000 cliques
Sat May 17 01:55:35 2008 commencing in-memory singleton removal
Sat May 17 01:55:38 2008 begin with 25710042 relations and 16722609 unique ideals
Sat May 17 01:55:52 2008 reduce to 25676602 relations and 15933921 ideals in 5 passes
Sat May 17 01:55:52 2008 max relations containing the same ideal: 18
Sat May 17 01:56:05 2008 removing 1156105 relations and 756105 ideals in 400000 cliques
Sat May 17 01:56:06 2008 commencing in-memory singleton removal
Sat May 17 01:56:09 2008 begin with 24520497 relations and 15933921 unique ideals
Sat May 17 01:56:22 2008 reduce to 24486448 relations and 15143136 ideals in 5 passes
Sat May 17 01:56:22 2008 max relations containing the same ideal: 18
Sat May 17 01:56:35 2008 removing 1152228 relations and 752228 ideals in 400000 cliques
Sat May 17 01:56:36 2008 commencing in-memory singleton removal
Sat May 17 01:56:38 2008 begin with 23334220 relations and 15143136 unique ideals
Sat May 17 01:56:50 2008 reduce to 23298709 relations and 14354802 ideals in 5 passes
Sat May 17 01:56:50 2008 max relations containing the same ideal: 17
Sat May 17 01:57:02 2008 removing 1148793 relations and 748793 ideals in 400000 cliques
Sat May 17 01:57:03 2008 commencing in-memory singleton removal
Sat May 17 01:57:05 2008 begin with 22149916 relations and 14354802 unique ideals
Sat May 17 01:57:17 2008 reduce to 22111331 relations and 13566746 ideals in 5 passes
Sat May 17 01:57:17 2008 max relations containing the same ideal: 17
Sat May 17 01:57:28 2008 removing 1152734 relations and 752734 ideals in 400000 cliques
Sat May 17 01:57:29 2008 commencing in-memory singleton removal
Sat May 17 01:57:31 2008 begin with 20958597 relations and 13566746 unique ideals
Sat May 17 01:57:41 2008 reduce to 20918208 relations and 12772815 ideals in 5 passes
Sat May 17 01:57:41 2008 max relations containing the same ideal: 17
Sat May 17 01:57:52 2008 removing 1154667 relations and 754667 ideals in 400000 cliques
Sat May 17 01:57:53 2008 commencing in-memory singleton removal
Sat May 17 01:57:54 2008 begin with 19763541 relations and 12772815 unique ideals
Sat May 17 01:58:04 2008 reduce to 19720406 relations and 11974134 ideals in 5 passes
Sat May 17 01:58:04 2008 max relations containing the same ideal: 16
Sat May 17 01:58:14 2008 removing 452821 relations and 324880 ideals in 127941 cliques
Sat May 17 01:58:15 2008 commencing in-memory singleton removal
Sat May 17 01:58:17 2008 begin with 19267585 relations and 11974134 unique ideals
Sat May 17 01:58:26 2008 reduce to 19262204 relations and 11643845 ideals in 5 passes
Sat May 17 01:58:26 2008 max relations containing the same ideal: 16
Sat May 17 01:58:29 2008 relations with 0 large ideals: 1429614
Sat May 17 01:58:29 2008 relations with 1 large ideals: 5234944
Sat May 17 01:58:29 2008 relations with 2 large ideals: 7025444
Sat May 17 01:58:29 2008 relations with 3 large ideals: 4175226
Sat May 17 01:58:29 2008 relations with 4 large ideals: 1210538
Sat May 17 01:58:29 2008 relations with 5 large ideals: 173821
Sat May 17 01:58:29 2008 relations with 6 large ideals: 12174
Sat May 17 01:58:29 2008 relations with 7+ large ideals: 443
Sat May 17 01:58:29 2008 commencing 2-way merge
Sat May 17 01:58:42 2008 reduce to 14328092 relation sets and 6709733 unique ideals
Sat May 17 01:58:42 2008 commencing full merge
Sat May 17 02:00:36 2008 memory use: 641.8 MB
Sat May 17 02:00:37 2008 found 7744252 cycles, need 6709933
Sat May 17 02:00:44 2008 weight of 6709933 cycles is about 466109154 (69.47/cycle)
Sat May 17 02:00:44 2008 distribution of cycle lengths:
Sat May 17 02:00:44 2008 1 relations: 1430750
Sat May 17 02:00:44 2008 2 relations: 745433
Sat May 17 02:00:44 2008 3 relations: 657910
Sat May 17 02:00:44 2008 4 relations: 611999
Sat May 17 02:00:44 2008 5 relations: 580016
Sat May 17 02:00:44 2008 6 relations: 534597
Sat May 17 02:00:44 2008 7 relations: 487102
Sat May 17 02:00:44 2008 8 relations: 431280
Sat May 17 02:00:44 2008 9 relations: 377110
Sat May 17 02:00:44 2008 10+ relations: 853736
Sat May 17 02:00:44 2008 heaviest cycle: 14 relations
Sat May 17 02:00:45 2008 commencing cycle optimization
Sat May 17 02:01:11 2008 start with 33158779 relations
Sat May 17 02:03:35 2008 pruned 1582363 relations
Sat May 17 02:03:35 2008 memory use: 1008.6 MB
Sat May 17 02:03:35 2008 distribution of cycle lengths:
Sat May 17 02:03:35 2008 1 relations: 1430750
Sat May 17 02:03:35 2008 2 relations: 769601
Sat May 17 02:03:35 2008 3 relations: 690012
Sat May 17 02:03:35 2008 4 relations: 646372
Sat May 17 02:03:35 2008 5 relations: 625616
Sat May 17 02:03:35 2008 6 relations: 577096
Sat May 17 02:03:35 2008 7 relations: 527364
Sat May 17 02:03:35 2008 8 relations: 451916
Sat May 17 02:03:35 2008 9 relations: 374760
Sat May 17 02:03:35 2008 10+ relations: 616446
Sat May 17 02:03:35 2008 heaviest cycle: 14 relations
Sat May 17 02:03:47 2008
Sat May 17 02:03:47 2008 commencing linear algebra
Sat May 17 02:04:07 2008 read 6709933 cycles
Sat May 17 02:05:16 2008 cycles contain 16616391 unique relations
Sat May 17 02:12:25 2008 read 16616391 relations
Sat May 17 02:16:02 2008 using 32 quadratic characters above 1073734704
Sat May 17 02:20:46 2008 building initial matrix
Sat May 17 02:26:14 2008 memory use: 2171.2 MB
Sat May 17 02:26:28 2008 read 6709933 cycles
Sat May 17 02:27:42 2008 matrix is 6707522 x 6709933 (1900.7 MB) with weight 599367620 (89.33/col)
Sat May 17 02:27:42 2008 sparse part has weight 424447380 (63.26/col)
Sat May 17 02:31:40 2008 filtering completed in 3 passes
Sat May 17 02:31:42 2008 matrix is 6662408 x 6662607 (1893.0 MB) with weight 596723869 (89.56/col)
Sat May 17 02:31:42 2008 sparse part has weight 422956731 (63.48/col)
Sat May 17 02:33:59 2008 read 6662607 cycles
Sat May 17 02:35:25 2008 matrix is 6662408 x 6662607 (1893.0 MB) with weight 596723869 (89.56/col)
Sat May 17 02:35:25 2008 sparse part has weight 422956731 (63.48/col)
Sat May 17 02:35:25 2008 saving the first 48 matrix rows for later
Sat May 17 02:35:29 2008 matrix is 6662360 x 6662607 (1816.1 MB) with weight 451718173 (67.80/col)
Sat May 17 02:35:29 2008 sparse part has weight 409465331 (61.46/col)
Sat May 17 02:35:29 2008 matrix includes 64 packed rows
Sat May 17 02:35:29 2008 using block size 43690 for processor cache size 1024 kB
Sat May 17 02:36:03 2008 commencing Lanczos iteration
Sat May 17 02:36:03 2008 memory use: 1779.8 MB
Mon May 26 22:04:33 2008 lanczos halted after 98000 iterations (dim = 6196990)
Mon May 26 22:04:34 2008
Mon May 26 22:04:34 2008 commencing square root phase
Mon May 26 22:04:34 2008 reading relations for dependency 1
Tue May 27 08:24:01 2008
Tue May 27 08:24:01 2008
Tue May 27 08:24:01 2008 Msieve v. 1.35
Tue May 27 08:24:01 2008 random seeds: 4a573192 f3b4083d
Tue May 27 08:24:01 2008 factoring 1570202735775687823227275299792587949255240678988841458485824812873843448573740987093445347651779452527524043899822637837374918378380145564279643412374780873255220854192470043703802394597441053660188716054727305891 (214 digits)
Tue May 27 08:24:04 2008 no P-1/P+1/ECM available, skipping
Tue May 27 08:24:04 2008 commencing number field sieve (214-digit input)
Tue May 27 08:24:04 2008 R0: -1
Tue May 27 08:24:04 2008 R1: 107006904423598033356356300384937784807
Tue May 27 08:24:04 2008 A0: -7
Tue May 27 08:24:04 2008 A1: 0
Tue May 27 08:24:04 2008 A2: 0
Tue May 27 08:24:04 2008 A3: 0
Tue May 27 08:24:04 2008 A4: 0
Tue May 27 08:24:04 2008 A5: 0
Tue May 27 08:24:04 2008 A6: 1
Tue May 27 08:24:04 2008 size score = 5.095219e-11, Murphy alpha = 1.681313, combined = 3.151655e-11
Tue May 27 08:24:04 2008
Tue May 27 08:24:04 2008 commencing linear algebra
Tue May 27 08:24:10 2008 read 6662607 cycles
Tue May 27 08:25:30 2008 matrix is 6662408 x 6662607 (1893.0 MB) with weight 596723869 (89.56/col)
Tue May 27 08:25:30 2008 sparse part has weight 422956731 (63.48/col)
Tue May 27 08:25:30 2008 saving the first 48 matrix rows for later
Tue May 27 08:25:35 2008 matrix is 6662360 x 6662607 (1816.1 MB) with weight 451718173 (67.80/col)
Tue May 27 08:25:35 2008 sparse part has weight 409465331 (61.46/col)
Tue May 27 08:25:35 2008 matrix includes 64 packed rows
Tue May 27 08:25:35 2008 using block size 43690 for processor cache size 1024 kB
Tue May 27 08:26:10 2008 commencing Lanczos iteration
Tue May 27 08:26:10 2008 memory use: 1779.8 MB
Tue May 27 08:26:18 2008 restarting at iteration 98000 (dim = 6196990)
Wed May 28 02:27:58 2008 lanczos halted after 105361 iterations (dim = 6662353)
Wed May 28 02:28:30 2008 recovered 43 nontrivial dependencies
Wed May 28 02:28:31 2008
Wed May 28 02:28:31 2008 commencing square root phase
Wed May 28 02:28:31 2008 reading relations for dependency 1
Wed May 28 02:28:37 2008 read 3334176 cycles
Wed May 28 02:28:51 2008 cycles contain 10288088 unique relations
Wed May 28 02:35:28 2008 read 10288088 relations
Wed May 28 02:37:12 2008 multiplying 15759310 relations
Wed May 28 03:30:15 2008 multiply complete, coefficients have about 387.33 million bits
Wed May 28 03:30:25 2008 initial square root is modulo 8910463
Wed May 28 04:56:51 2008 reading relations for dependency 2
Wed May 28 04:57:11 2008 read 3328540 cycles
Wed May 28 04:57:24 2008 cycles contain 10272910 unique relations
Wed May 28 05:04:01 2008 read 10272910 relations
Wed May 28 05:05:45 2008 multiplying 15725634 relations
Wed May 28 05:58:30 2008 multiply complete, coefficients have about 386.50 million bits
Wed May 28 05:58:40 2008 initial square root is modulo 8609791
Wed May 28 07:24:42 2008 prp102 factor: 127962646077173632312199483013809163214497588966415507177987147170392729827682423052701976465899731717
Wed May 28 07:24:42 2008 prp113 factor: 12270789827436878734942569699415268721917326227004457742001668161532838127822588253081239300950793542259349049223
Wed May 28 07:24:42 2008 elapsed time 23:00:41
[/CODE]

In this case, 20% more relations produced a 13% smaller matrix.

Greg

[QUOTE=frmky;134644]The factorization of 7,271- is complete. The sieving for this one went faster than we expected, and therefore it was very oversieved. I initially filtered only the relations I had here in California to see the size of the matrix created. Here's that filtering log:



Greg[/QUOTE]


Nice result......

I am about half way through the LA for 2,1101+, half-way through the
sieving for 2,1104+ and will then do 2,1538M. Sam Wagstaff does not show
anyone doing 2,799+. Is anyone doing it or may I reserve it?

[quote=R.D. Silverman;134697]Nice result......

I am about half way through the LA for 2,1101+, half-way through the
sieving for 2,1104+ and will then do 2,1538M. Sam Wagstaff does not show
anyone doing 2,799+. Is anyone doing it or may I reserve it?[/quote]

I'm doing it. Sieving is 95% done. Sorry, I never reserved it with Sam Wagstaff.

[QUOTE=bsquared;134698]I'm doing it. Sieving is 95% done. Sorry, I never reserved it with Sam Wagstaff.[/QUOTE]


Thanks for the info.

[QUOTE=bsquared;134698]I'm doing it. Sieving is 95% done. Sorry, I never reserved it with Sam Wagstaff.[/QUOTE]

I like your Avatar....

The student, of course, is 100% correct. The question did not
say "compute the value of x". The teacher needs to be more careful......

[quote=R.D. Silverman;134791]I like your Avatar....

[/quote]

Thanks! I ran across that and several others like it in a mass e-mail awhile back (attached).

[quote=R.D. Silverman;134791]I like your Avatar....

The student, of course, is 100% correct. The question did not
say "compute the value of x". The teacher needs to be more careful......[/quote]

Agreed. Nonetheless, something tells me that the teacher did not award any creativity points to the student in this case...

- ben.

More that didn't fit in previous post...

I'd like to reserve 2,1598L for SNFS. SNFS seems to be the way to go, especially since I now have experience with SNFS on this size number (namely, 2,799+), while I have none with GNFS on a C171.

I'm still playing around with parameterization, using this poly

[CODE]
n: 344682277495113483576737243789457319844973285487058684789549245491555989770819433641425904625087602042261741581803359854653090524174719942048090727106451863564668263059909
skew: 1
c6: 2
c3: -2
c0: 1
Y1: -1
Y0: 10889035741470030830827987437816582766592
[/CODE]

- ben.

p.s. I've sent email to Sam Wagstaff about both this and 2,799+.
p.p.s Is this the best place to post such a reservation, or should I start a new thread?

[QUOTE=bsquared;134817]I'd like to reserve 2,1598L for SNFS.
[/QUOTE]

Numbers like this always frustrate me. I keep thinking there surely must be a way to use an algebraic factor like, for this one,

65536x^736+65536x^713 + 32768x^690 - 16384x^644 - 16384x^621 - 8192x^598 + 4096x^552 + 4096x^529 + 2048x^506 - 1024x^460 - 1024x^437 - 512x^414 + 256x^368 - 128x^322 - 128x^299 - 64x^276 + 32x^230 + 32x^207 + 16x^184 - 8x^138 - 8x^115 - 4x^92 + 2x^46 + 2x^23 + 1

Degree 32 (or 16) polys are useless, though.

[QUOTE=bsquared;134817]
p.p.s Is this the best place to post such a reservation, or should I start a new thread?[/QUOTE]

They don't need to be reserved here at all, just with Sam.

Greg

[quote=frmky;134833]Numbers like this always frustrate me. I keep thinking there surely must be a way to use an algebraic factor...

Greg[/quote]

Yeah, I know how you feel. I had pari print out the first 90 some splittings, and stared at that same one for a while.

something like
for(n=2,99,print(n,",",1598\n,",",factor(2^(1598%n)*x^n+1)))

[QUOTE=bdodson;132309]The NFSNET resources are mostly Richard's and Greg's; the two 10,257's (minus and plus) at difficulty 257.

<snip>

[/QUOTE]

Did you do ECM pre-testing on 10,257-? While the C241 had 3 factors,
and would have required NFS to finish in any case, should the smaller
factor (a p54) be considered an ECM miss?

[QUOTE=R.D. Silverman;135175]Did you do ECM pre-testing on 10,257-? While the C241 had 3 factors,
and would have required NFS to finish in any case, should the smaller
factor (a p54) be considered an ECM miss?[/QUOTE]

Probaby so. From Bruce,

[QUOTE]I have the
pre-test recorded as 7*t50 (which refers to the effort, not the limits;
almost all of the curves were either B1=110M (p55-optimal) or
B1=260M (p60-optimal)). That's supposed to be somewhere in
the range between t55 and 2*t55; which means that the chances
of finding a known p55 are between 63.2% and 86.4%, midrange
might be 1-exp(-1.5) = 77.68%, so I spent an effort sufficient
to find 3 of 4 known p55's, leaving 1 of 4 to be found by sieving.
There've certainly been lots of p54-p56's found; and among recent
sieving candidates I found a p53 (on-schedule) and a p57 (early).
[/QUOTE]

Greg

by the way,there seems a type error on
[url]http://homes.cerias.purdue.edu/~ssw/cun/page108[/url]
5621 10, 257- c241 668337078771358175173561511352921717498789809202021239. c185 Childers/Dodson snfs

the c185 should be c187.

I'm very happy to report the completion of 12,227+. This one was a bit of a pain. First, it was too large to fit in 3GB of memory, so I had no computer capable of completing it for a few weeks. Then, the linear algebra failed because of a hardware error in the computer on which it was running. Finally, after completion of the LA, the sqrt failed on 7 dependencies before succeeding on two almost simultaneously (there were 4 instances running). It frequently failed because the Newton iteration failed to converge, and it took a long time to decide it wasn't converging.

Greg

[CODE]Fri May 2 23:10:41 2008 Msieve v. 1.35
Fri May 2 23:10:41 2008 random seeds: 9737bced 8ff37790
Fri May 2 23:10:41 2008 factoring 335459675625609149175297167279450921870290004359855488474349800604684676808779128654874968143040989227628999838976995301951696249550780031080201529867354997964923887370399829553937398498477518500988216249226538719 (213 digits)
Fri May 2 23:10:44 2008 no P-1/P+1/ECM available, skipping
Fri May 2 23:10:44 2008 commencing number field sieve (213-digit input)
Fri May 2 23:10:44 2008 R0: -1
Fri May 2 23:10:44 2008 R1: 51033734998926612867456790104688979607552
Fri May 2 23:10:44 2008 A0: 16
Fri May 2 23:10:44 2008 A1: 0
Fri May 2 23:10:44 2008 A2: 0
Fri May 2 23:10:44 2008 A3: 0
Fri May 2 23:10:44 2008 A4: 0
Fri May 2 23:10:44 2008 A5: 0
Fri May 2 23:10:44 2008 A6: 3
Fri May 2 23:10:44 2008 size score = 6.042010e-12, Murphy alpha = 0.890595, combined = 4.684602e-12
Fri May 2 23:11:31 2008 restarting with 97601660 relations
Fri May 2 23:11:31 2008
Fri May 2 23:11:31 2008 commencing relation filtering
Fri May 2 23:11:31 2008 commencing duplicate removal, pass 1
Fri May 2 23:12:14 2008 error -11 reading relation 2914143
Fri May 2 23:15:10 2008 error -11 reading relation 14653775
Fri May 2 23:17:24 2008 error -11 reading relation 23600161
Fri May 2 23:17:34 2008 error -6 reading relation 24243086
Fri May 2 23:17:45 2008 error -11 reading relation 25019184
Fri May 2 23:17:53 2008 error -6 reading relation 25504568
Fri May 2 23:29:09 2008 error -11 reading relation 70817482
Fri May 2 23:30:07 2008 error -11 reading relation 74675155
Fri May 2 23:30:32 2008 error -11 reading relation 76327143
Fri May 2 23:31:36 2008 error -11 reading relation 80609012
Fri May 2 23:31:54 2008 error -6 reading relation 81766429
Fri May 2 23:33:39 2008 error -6 reading relation 89827662
Fri May 2 23:33:39 2008 error -11 reading relation 89831236
Fri May 2 23:35:28 2008 found 14129141 hash collisions in 97601647 relations
Fri May 2 23:35:28 2008 commencing duplicate removal, pass 2
Fri May 2 23:38:27 2008 found 39 duplicates and 97601608 unique relations
Fri May 2 23:38:27 2008 memory use: 504.8 MB
Fri May 2 23:38:57 2008 ignoring smallest 3185859 rational and 3185228 algebraic ideals
Fri May 2 23:38:57 2008 filtering rational ideals above 53280768
Fri May 2 23:38:57 2008 filtering algebraic ideals above 53280768
Fri May 2 23:38:57 2008 need 9556630 more relations than ideals
Fri May 2 23:38:57 2008 commencing singleton removal, pass 1
Sat May 3 00:04:18 2008 relations with 0 large ideals: 644567
Sat May 3 00:04:18 2008 relations with 1 large ideals: 4468551
Sat May 3 00:04:18 2008 relations with 2 large ideals: 15498983
Sat May 3 00:04:18 2008 relations with 3 large ideals: 29414606
Sat May 3 00:04:18 2008 relations with 4 large ideals: 31261865
Sat May 3 00:04:18 2008 relations with 5 large ideals: 16313036
Sat May 3 00:04:18 2008 relations with 6 large ideals: 0
Sat May 3 00:04:18 2008 relations with 7+ large ideals: 0
Sat May 3 00:04:18 2008 97601608 relations and about 63846743 large ideals
Sat May 3 00:04:18 2008 commencing singleton removal, pass 2
Sat May 3 00:28:21 2008 found 13354542 singletons
Sat May 3 00:28:21 2008 current dataset: 84247066 relations and about 49734024 large ideals
Sat May 3 00:28:21 2008 commencing singleton removal, pass 3
Sat May 3 00:44:46 2008 relations with 0 large ideals: 644567
Sat May 3 00:44:46 2008 relations with 1 large ideals: 4275190
Sat May 3 00:44:46 2008 relations with 2 large ideals: 14176558
Sat May 3 00:44:46 2008 relations with 3 large ideals: 25751777
Sat May 3 00:44:46 2008 relations with 4 large ideals: 26237754
Sat May 3 00:44:46 2008 relations with 5 large ideals: 13161220
Sat May 3 00:44:46 2008 relations with 6 large ideals: 0
Sat May 3 00:44:46 2008 relations with 7+ large ideals: 0
Sat May 3 00:44:46 2008 84247066 relations and about 62374668 large ideals
Sat May 3 00:44:46 2008 commencing singleton removal, pass 4
Sat May 3 01:01:10 2008 found 11339255 singletons
Sat May 3 01:01:10 2008 current dataset: 72907811 relations and about 50404925 large ideals
Sat May 3 01:01:10 2008 commencing singleton removal, pass 5
Sat May 3 01:15:34 2008 found 2193542 singletons
Sat May 3 01:15:34 2008 current dataset: 70714269 relations and about 48184207 large ideals
Sat May 3 01:15:34 2008 commencing singleton removal, pass 6
Sat May 3 01:29:32 2008 found 374493 singletons
Sat May 3 01:29:32 2008 current dataset: 70339776 relations and about 47808835 large ideals
Sat May 3 01:29:32 2008 commencing singleton removal, final pass
Sat May 3 01:50:49 2008 memory use: 1412.2 MB
Sat May 3 01:50:50 2008 commencing in-memory singleton removal
Sat May 3 01:51:07 2008 begin with 70339776 relations and 55801501 unique ideals
Sat May 3 01:55:08 2008 reduce to 63804789 relations and 49132180 ideals in 12 passes
Sat May 3 01:55:08 2008 max relations containing the same ideal: 33
Sat May 3 01:56:43 2008 removing 2983908 relations and 2583908 ideals in 400000 cliques
Sat May 3 01:56:46 2008 commencing in-memory singleton removal
Sat May 3 01:57:01 2008 begin with 60820881 relations and 49132180 unique ideals
Sat May 3 01:59:11 2008 reduce to 60747554 relations and 46474385 ideals in 7 passes
Sat May 3 01:59:11 2008 max relations containing the same ideal: 32
Sat May 3 02:00:36 2008 removing 2234050 relations and 1834050 ideals in 400000 cliques
Sat May 3 02:00:39 2008 commencing in-memory singleton removal
Sat May 3 02:00:53 2008 begin with 58513504 relations and 46474385 unique ideals
Sat May 3 02:02:40 2008 reduce to 58465591 relations and 44592115 ideals in 6 passes
Sat May 3 02:02:40 2008 max relations containing the same ideal: 32
Sat May 3 02:04:02 2008 removing 1995226 relations and 1595226 ideals in 400000 cliques
Sat May 3 02:04:05 2008 commencing in-memory singleton removal
Sat May 3 02:04:18 2008 begin with 56470365 relations and 44592115 unique ideals
Sat May 3 02:06:01 2008 reduce to 56430831 relations and 42957094 ideals in 6 passes
Sat May 3 02:06:01 2008 max relations containing the same ideal: 32
Sat May 3 02:07:19 2008 removing 1852704 relations and 1452704 ideals in 400000 cliques
Sat May 3 02:07:21 2008 commencing in-memory singleton removal
Sat May 3 02:07:34 2008 begin with 54578127 relations and 42957094 unique ideals
Sat May 3 02:09:13 2008 reduce to 54541817 relations and 41467825 ideals in 6 passes
Sat May 3 02:09:13 2008 max relations containing the same ideal: 32
Sat May 3 02:10:28 2008 removing 1757190 relations and 1357190 ideals in 400000 cliques
Sat May 3 02:10:31 2008 commencing in-memory singleton removal
Sat May 3 02:10:43 2008 begin with 52784627 relations and 41467825 unique ideals
Sat May 3 02:12:18 2008 reduce to 52750507 relations and 40076297 ideals in 6 passes
Sat May 3 02:12:18 2008 max relations containing the same ideal: 30
Sat May 3 02:13:30 2008 removing 1689278 relations and 1289278 ideals in 400000 cliques
Sat May 3 02:13:33 2008 commencing in-memory singleton removal
Sat May 3 02:13:45 2008 begin with 51061229 relations and 40076297 unique ideals
Sat May 3 02:15:16 2008 reduce to 51027447 relations and 38753024 ideals in 6 passes
Sat May 3 02:15:16 2008 max relations containing the same ideal: 30
Sat May 3 02:16:26 2008 removing 1634988 relations and 1234988 ideals in 400000 cliques
Sat May 3 02:16:29 2008 commencing in-memory singleton removal
Sat May 3 02:16:40 2008 begin with 49392459 relations and 38753024 unique ideals
Sat May 3 02:17:54 2008 reduce to 49359543 relations and 37484891 ideals in 5 passes
Sat May 3 02:17:54 2008 max relations containing the same ideal: 29
Sat May 3 02:19:00 2008 removing 1598899 relations and 1198899 ideals in 400000 cliques
Sat May 3 02:19:03 2008 commencing in-memory singleton removal
Sat May 3 02:19:14 2008 begin with 47760644 relations and 37484891 unique ideals
Sat May 3 02:20:25 2008 reduce to 47730350 relations and 36255440 ideals in 5 passes
Sat May 3 02:20:25 2008 max relations containing the same ideal: 29
Sat May 3 02:21:29 2008 removing 1550060 relations and 1150060 ideals in 400000 cliques
Sat May 3 02:21:32 2008 commencing in-memory singleton removal
Sat May 3 02:21:42 2008 begin with 46180290 relations and 36255440 unique ideals
Sat May 3 02:23:04 2008 reduce to 46147160 relations and 35071982 ideals in 6 passes
Sat May 3 02:23:04 2008 max relations containing the same ideal: 27
Sat May 3 02:24:06 2008 removing 1530131 relations and 1130131 ideals in 400000 cliques
Sat May 3 02:24:08 2008 commencing in-memory singleton removal
Sat May 3 02:24:19 2008 begin with 44617029 relations and 35071982 unique ideals
Sat May 3 02:25:24 2008 reduce to 44584623 relations and 33909223 ideals in 5 passes
Sat May 3 02:25:24 2008 max relations containing the same ideal: 27
Sat May 3 02:26:24 2008 removing 1498601 relations and 1098601 ideals in 400000 cliques
Sat May 3 02:26:26 2008 commencing in-memory singleton removal
Sat May 3 02:26:36 2008 begin with 43086022 relations and 33909223 unique ideals
Sat May 3 02:27:40 2008 reduce to 43051974 relations and 32776262 ideals in 5 passes
Sat May 3 02:27:40 2008 max relations containing the same ideal: 27
Sat May 3 02:28:37 2008 removing 1476282 relations and 1076282 ideals in 400000 cliques
Sat May 3 02:28:39 2008 commencing in-memory singleton removal
Sat May 3 02:28:49 2008 begin with 41575692 relations and 32776262 unique ideals
Sat May 3 02:29:50 2008 reduce to 41539152 relations and 31663121 ideals in 5 passes
Sat May 3 02:29:50 2008 max relations containing the same ideal: 26
Sat May 3 02:30:45 2008 removing 1207697 relations and 888297 ideals in 319400 cliques
Sat May 3 02:30:47 2008 commencing in-memory singleton removal
Sat May 3 02:30:56 2008 begin with 40331455 relations and 31663121 unique ideals
Sat May 3 02:31:55 2008 reduce to 40306265 relations and 30749444 ideals in 5 passes
Sat May 3 02:31:55 2008 max relations containing the same ideal: 26
Sat May 3 02:32:49 2008 filtering rational ideals above 720000
Sat May 3 02:32:49 2008 filtering algebraic ideals above 720000
Sat May 3 02:32:49 2008 need 116231 more relations than ideals
Sat May 3 02:32:49 2008 commencing singleton removal, final pass
Sat May 3 03:32:07 2008 keeping 50983560 ideals with weight <= 20, new excess is 4519706
Sat May 3 03:34:22 2008 memory use: 1872.2 MB
Sat May 3 03:34:22 2008 commencing in-memory singleton removal
Sat May 3 03:34:40 2008 begin with 63804789 relations and 50983560 unique ideals
Sat May 3 03:36:27 2008 reduce to 63804750 relations and 50983521 ideals in 5 passes
Sat May 3 03:36:27 2008 max relations containing the same ideal: 20
Sat May 3 03:38:11 2008 removing 2983945 relations and 2583945 ideals in 400000 cliques
Sat May 3 03:38:15 2008 commencing in-memory singleton removal
Sat May 3 03:38:31 2008 begin with 60820805 relations and 50983521 unique ideals
Sat May 3 03:40:56 2008 reduce to 60747453 relations and 48325663 ideals in 7 passes
Sat May 3 03:40:56 2008 max relations containing the same ideal: 20
Sat May 3 03:42:30 2008 removing 2234112 relations and 1834112 ideals in 400000 cliques
Sat May 3 03:42:33 2008 commencing in-memory singleton removal
Sat May 3 03:42:49 2008 begin with 58513341 relations and 48325663 unique ideals
Sat May 3 03:44:47 2008 reduce to 58465472 relations and 46443374 ideals in 6 passes
Sat May 3 03:44:47 2008 max relations containing the same ideal: 20
Sat May 3 03:46:17 2008 removing 1995296 relations and 1595296 ideals in 400000 cliques
Sat May 3 03:46:20 2008 commencing in-memory singleton removal
Sat May 3 03:46:35 2008 begin with 56470176 relations and 46443374 unique ideals
Sat May 3 03:48:29 2008 reduce to 56430548 relations and 44808195 ideals in 6 passes
Sat May 3 03:48:29 2008 max relations containing the same ideal: 20
Sat May 3 03:49:55 2008 removing 1852677 relations and 1452677 ideals in 400000 cliques
Sat May 3 03:49:58 2008 commencing in-memory singleton removal
Sat May 3 03:50:12 2008 begin with 54577871 relations and 44808195 unique ideals
Sat May 3 03:52:02 2008 reduce to 54541656 relations and 43319046 ideals in 6 passes
Sat May 3 03:52:02 2008 max relations containing the same ideal: 20
Sat May 3 03:53:25 2008 removing 1757340 relations and 1357340 ideals in 400000 cliques
Sat May 3 03:53:28 2008 commencing in-memory singleton removal
Sat May 3 03:53:42 2008 begin with 52784316 relations and 43319046 unique ideals
Sat May 3 03:55:27 2008 reduce to 52750243 relations and 41927410 ideals in 6 passes
Sat May 3 03:55:27 2008 max relations containing the same ideal: 20
Sat May 3 03:56:47 2008 removing 1689702 relations and 1289702 ideals in 400000 cliques
Sat May 3 03:56:50 2008 commencing in-memory singleton removal
Sat May 3 03:57:03 2008 begin with 51060541 relations and 41927410 unique ideals
Sat May 3 03:58:45 2008 reduce to 51026720 relations and 40603679 ideals in 6 passes
Sat May 3 03:58:45 2008 max relations containing the same ideal: 20
Sat May 3 04:00:02 2008 removing 1634695 relations and 1234695 ideals in 400000 cliques
Sat May 3 04:00:05 2008 commencing in-memory singleton removal
Sat May 3 04:00:18 2008 begin with 49392025 relations and 40603679 unique ideals
Sat May 3 04:01:39 2008 reduce to 49358986 relations and 39335721 ideals in 5 passes
Sat May 3 04:01:39 2008 max relations containing the same ideal: 20
Sat May 3 04:02:54 2008 removing 1599927 relations and 1199927 ideals in 400000 cliques
Sat May 3 04:02:57 2008 commencing in-memory singleton removal
Sat May 3 04:03:09 2008 begin with 47759059 relations and 39335721 unique ideals
Sat May 3 04:04:29 2008 reduce to 47728791 relations and 38105280 ideals in 5 passes
Sat May 3 04:04:29 2008 max relations containing the same ideal: 20
Sat May 3 04:05:41 2008 removing 1549200 relations and 1149200 ideals in 400000 cliques
Sat May 3 04:05:43 2008 commencing in-memory singleton removal
Sat May 3 04:05:56 2008 begin with 46179591 relations and 38105280 unique ideals
Sat May 3 04:07:27 2008 reduce to 46146381 relations and 36922614 ideals in 6 passes
Sat May 3 04:07:27 2008 max relations containing the same ideal: 20
Sat May 3 04:08:37 2008 removing 1531439 relations and 1131439 ideals in 400000 cliques
Sat May 3 04:08:39 2008 commencing in-memory singleton removal
Sat May 3 04:08:51 2008 begin with 44614942 relations and 36922614 unique ideals
Sat May 3 04:10:04 2008 reduce to 44582731 relations and 35758749 ideals in 5 passes
Sat May 3 04:10:04 2008 max relations containing the same ideal: 20
Sat May 3 04:11:10 2008 removing 1499315 relations and 1099315 ideals in 400000 cliques
Sat May 3 04:11:13 2008 commencing in-memory singleton removal
Sat May 3 04:11:24 2008 begin with 43083416 relations and 35758749 unique ideals
Sat May 3 04:12:34 2008 reduce to 43049426 relations and 34625119 ideals in 5 passes
Sat May 3 04:12:34 2008 max relations containing the same ideal: 20
Sat May 3 04:13:39 2008 removing 1476264 relations and 1076264 ideals in 400000 cliques
Sat May 3 04:13:41 2008 commencing in-memory singleton removal
Sat May 3 04:13:52 2008 begin with 41573162 relations and 34625119 unique ideals
Sat May 3 04:14:59 2008 reduce to 41536498 relations and 33511876 ideals in 5 passes
Sat May 3 04:14:59 2008 max relations containing the same ideal: 20
Sat May 3 04:16:02 2008 removing 1467763 relations and 1067763 ideals in 400000 cliques
Sat May 3 04:16:04 2008 commencing in-memory singleton removal
Sat May 3 04:16:14 2008 begin with 40068735 relations and 33511876 unique ideals
Sat May 3 04:17:19 2008 reduce to 40033590 relations and 32408653 ideals in 5 passes
Sat May 3 04:17:19 2008 max relations containing the same ideal: 20
Sat May 3 04:18:19 2008 removing 1449467 relations and 1049467 ideals in 400000 cliques
Sat May 3 04:18:21 2008 commencing in-memory singleton removal
Sat May 3 04:18:31 2008 begin with 38584123 relations and 32408653 unique ideals
Sat May 3 04:19:33 2008 reduce to 38547956 relations and 31322681 ideals in 5 passes
Sat May 3 04:19:33 2008 max relations containing the same ideal: 20
Sat May 3 04:20:30 2008 removing 1436167 relations and 1036167 ideals in 400000 cliques
Sat May 3 04:20:33 2008 commencing in-memory singleton removal
Sat May 3 04:20:42 2008 begin with 37111789 relations and 31322681 unique ideals
Sat May 3 04:21:42 2008 reduce to 37072994 relations and 30247361 ideals in 5 passes
Sat May 3 04:21:42 2008 max relations containing the same ideal: 20
Sat May 3 04:22:37 2008 removing 1435691 relations and 1035691 ideals in 400000 cliques
Sat May 3 04:22:39 2008 commencing in-memory singleton removal
Sat May 3 04:22:48 2008 begin with 35637303 relations and 30247361 unique ideals
Sat May 3 04:23:57 2008 reduce to 35597841 relations and 29171839 ideals in 6 passes
Sat May 3 04:23:57 2008 max relations containing the same ideal: 20
Sat May 3 04:24:50 2008 removing 1429855 relations and 1029855 ideals in 400000 cliques
Sat May 3 04:24:52 2008 commencing in-memory singleton removal
Sat May 3 04:25:01 2008 begin with 34167986 relations and 29171839 unique ideals
Sat May 3 04:25:56 2008 reduce to 34126175 relations and 28099730 ideals in 5 passes
Sat May 3 04:25:56 2008 max relations containing the same ideal: 20
Sat May 3 04:26:47 2008 removing 1426757 relations and 1026757 ideals in 400000 cliques
Sat May 3 04:26:49 2008 commencing in-memory singleton removal
Sat May 3 04:26:57 2008 begin with 32699418 relations and 28099730 unique ideals
Sat May 3 04:28:00 2008 reduce to 32655079 relations and 27028151 ideals in 6 passes
Sat May 3 04:28:00 2008 max relations containing the same ideal: 20
Sat May 3 04:28:48 2008 removing 1382081 relations and 998012 ideals in 384069 cliques
Sat May 3 04:28:50 2008 commencing in-memory singleton removal
Sat May 3 04:28:58 2008 begin with 31272998 relations and 27028151 unique ideals
Sat May 3 04:29:58 2008 reduce to 31228913 relations and 25985538 ideals in 6 passes
Sat May 3 04:29:58 2008 max relations containing the same ideal: 19
Sat May 3 04:30:50 2008 relations with 0 large ideals: 330812
Sat May 3 04:30:50 2008 relations with 1 large ideals: 1857133
Sat May 3 04:30:50 2008 relations with 2 large ideals: 5744404
Sat May 3 04:30:50 2008 relations with 3 large ideals: 9370095
Sat May 3 04:30:50 2008 relations with 4 large ideals: 8587906
Sat May 3 04:30:50 2008 relations with 5 large ideals: 4375381
Sat May 3 04:30:50 2008 relations with 6 large ideals: 873574
Sat May 3 04:30:50 2008 relations with 7+ large ideals: 89608
Sat May 3 04:30:50 2008 commencing 2-way merge
Sat May 3 04:31:46 2008 reduce to 22193444 relation sets and 16950069 unique ideals
Sat May 3 04:31:46 2008 commencing full merge
Sat May 3 04:41:19 2008 memory use: 1594.4 MB
Sat May 3 04:41:21 2008 found 11623609 cycles, need 10900269
Sat May 3 04:41:31 2008 weight of 10900269 cycles is about 708700015 (65.02/cycle)
Sat May 3 04:41:31 2008 distribution of cycle lengths:
Sat May 3 04:41:31 2008 1 relations: 1171260
Sat May 3 04:41:31 2008 2 relations: 1415895
Sat May 3 04:41:31 2008 3 relations: 1541293
Sat May 3 04:41:31 2008 4 relations: 1476154
Sat May 3 04:41:31 2008 5 relations: 1364321
Sat May 3 04:41:31 2008 6 relations: 1167424
Sat May 3 04:41:31 2008 7 relations: 967605
Sat May 3 04:41:31 2008 8 relations: 757251
Sat May 3 04:41:31 2008 9 relations: 563227
Sat May 3 04:41:31 2008 10+ relations: 475839
Sat May 3 04:41:31 2008 heaviest cycle: 12 relations
Sat May 3 04:41:38 2008 commencing cycle optimization
Sat May 3 04:42:29 2008 start with 51111284 relations
Sat May 3 04:47:05 2008 pruned 755229 relations
Sat May 3 04:47:05 2008 memory use: 1754.4 MB
Sat May 3 04:47:05 2008 distribution of cycle lengths:
Sat May 3 04:47:05 2008 1 relations: 1171260
Sat May 3 04:47:05 2008 2 relations: 1432546
Sat May 3 04:47:05 2008 3 relations: 1578531
Sat May 3 04:47:05 2008 4 relations: 1502530
Sat May 3 04:47:05 2008 5 relations: 1393902
Sat May 3 04:47:05 2008 6 relations: 1183782
Sat May 3 04:47:05 2008 7 relations: 974784
Sat May 3 04:47:05 2008 8 relations: 746127
Sat May 3 04:47:05 2008 9 relations: 529379
Sat May 3 04:47:05 2008 10+ relations: 387428
Sat May 3 04:47:05 2008 heaviest cycle: 12 relations
Sat May 3 04:47:55 2008
Sat May 3 04:48:08 2008 commencing linear algebra
Sat May 3 04:48:10 2008 read 10900269 cycles
Sat May 3 04:51:36 2008 cycles contain 29021754 unique relations
Sat May 3 04:57:16 2008 read 29021754 relations
Sat May 3 04:59:31 2008 using 32 quadratic characters above 1073741672
Sat May 3 05:06:37 2008 building initial matrix
Sat May 3 05:27:17 2008 memory use: 3750.5 MB
Sat May 3 05:27:29 2008 read 10900269 cycles
Sat May 3 05:27:42 2008 matrix is 10899947 x 10900269 (3104.7 MB) with weight 974842519 (89.43/col)
Sat May 3 05:27:42 2008 sparse part has weight 693969703 (63.67/col)
Sat May 3 05:37:15 2008 filtering completed in 3 passes
Sat May 3 05:37:21 2008 matrix is 10876020 x 10876220 (3102.1 MB) with weight 973842546 (89.54/col)
Sat May 3 05:37:21 2008 sparse part has weight 693566609 (63.77/col)
Sat May 3 05:43:02 2008 read 10876220 cycles
Sat May 3 05:43:15 2008 matrix is 10876020 x 10876220 (3102.1 MB) with weight 973842546 (89.54/col)
Sat May 3 05:43:15 2008 sparse part has weight 693566609 (63.77/col)
Sat May 3 05:43:16 2008 saving the first 48 matrix rows for later
Sat May 3 05:43:28 2008 matrix is 10875972 x 10876220 (2976.9 MB) with weight 742398011 (68.26/col)
Sat May 3 05:43:28 2008 sparse part has weight 671620573 (61.75/col)
Sat May 3 05:43:28 2008 matrix includes 64 packed rows
Sat May 3 05:43:28 2008 using block size 21845 for processor cache size 512 kB
Sat May 3 05:45:15 2008 commencing Lanczos iteration (16 threads)
Sat May 3 05:45:15 2008 memory use: 4190.2 MB

Wed Jun 11 12:49:31 2008 Msieve v. 1.36
Wed Jun 11 12:49:31 2008 random seeds: ec93febd 38ae84e1
Wed Jun 11 12:49:31 2008 factoring 335459675625609149175297167279450921870290004359855488474349800604684676808779128654874968143040989227628999838976995301951696249550780031080201529867354997964923887370399829553937398498477518500988216249226538719 (213 digits)
Wed Jun 11 12:49:34 2008 no P-1/P+1/ECM available, skipping
Wed Jun 11 12:49:34 2008 commencing number field sieve (213-digit input)
Wed Jun 11 12:49:34 2008 R0: -1
Wed Jun 11 12:49:34 2008 R1: 51033734998926612867456790104688979607552
Wed Jun 11 12:49:34 2008 A0: 16
Wed Jun 11 12:49:34 2008 A1: 0
Wed Jun 11 12:49:34 2008 A2: 0
Wed Jun 11 12:49:34 2008 A3: 0
Wed Jun 11 12:49:34 2008 A4: 0
Wed Jun 11 12:49:34 2008 A5: 0
Wed Jun 11 12:49:34 2008 A6: 3
Wed Jun 11 12:49:34 2008 size score = 6.042010e-12, Murphy alpha = 0.890595, combined = 4.684602e-12
Wed Jun 11 12:49:34 2008
Wed Jun 11 12:49:34 2008 commencing linear algebra
Wed Jun 11 12:49:40 2008 read 10876220 cycles
Wed Jun 11 12:51:13 2008 matrix is 10876020 x 10876220 (3102.1 MB) with weight 973842546 (89.54/col)
Wed Jun 11 12:51:13 2008 sparse part has weight 693566609 (63.77/col)
Wed Jun 11 12:51:13 2008 saving the first 48 matrix rows for later
Wed Jun 11 12:51:24 2008 matrix is 10875972 x 10876220 (2976.9 MB) with weight 742398011 (68.26/col)
Wed Jun 11 12:51:24 2008 sparse part has weight 671620573 (61.75/col)
Wed Jun 11 12:51:24 2008 matrix includes 64 packed rows
Wed Jun 11 12:51:24 2008 using block size 65536 for processor cache size 2048 kB
Wed Jun 11 12:52:56 2008 commencing Lanczos iteration (8 threads)
Wed Jun 11 12:52:56 2008 memory use: 3513.9 MB
Wed Jun 11 12:52:57 2008 restarting at iteration 160849 (dim = 10171465)
Thu Jun 12 15:15:24 2008 lanczos halted after 171990 iterations (dim = 10875969)
Thu Jun 12 15:16:07 2008 recovered 49 nontrivial dependencies
Thu Jun 12 15:16:07 2008
Thu Jun 12 15:16:07 2008 commencing square root phase
Thu Jun 12 15:16:07 2008 reading relations for dependency 1
Thu Jun 12 15:16:10 2008 read 5435988 cycles
Thu Jun 12 15:17:18 2008 cycles contain 17832966 unique relations
Thu Jun 12 15:22:50 2008 read 17832966 relations
Thu Jun 12 15:30:01 2008 multiplying 25159180 relations
Thu Jun 12 17:37:04 2008 multiply complete, coefficients have about 671.91 million bits
Thu Jun 12 17:37:24 2008 warning: no irreducible prime found, switching to small primes
Thu Jun 12 17:37:27 2008 initial square root is modulo 53
Thu Jun 12 21:37:24 2008
Thu Jun 12 21:37:24 2008 Msieve v. 1.36
Thu Jun 12 21:37:24 2008 random seeds: 65b2dc8e 6754f9bf
Thu Jun 12 21:37:24 2008 factoring 335459675625609149175297167279450921870290004359855488474349800604684676808779128654874968143040989227628999838976995301951696249550780031080201529867354997964923887370399829553937398498477518500988216249226538719 (213 digits)
Thu Jun 12 21:37:27 2008 no P-1/P+1/ECM available, skipping
Thu Jun 12 21:37:27 2008 commencing number field sieve (213-digit input)
Thu Jun 12 21:37:27 2008 R0: -1
Thu Jun 12 21:37:27 2008 R1: 51033734998926612867456790104688979607552
Thu Jun 12 21:37:27 2008 A0: 16
Thu Jun 12 21:37:27 2008 A1: 0
Thu Jun 12 21:37:27 2008 A2: 0
Thu Jun 12 21:37:27 2008 A3: 0
Thu Jun 12 21:37:27 2008 A4: 0
Thu Jun 12 21:37:27 2008 A5: 0
Thu Jun 12 21:37:27 2008 A6: 3
Thu Jun 12 21:37:27 2008 size score = 6.042010e-12, Murphy alpha = 0.890595, combined = 4.684602e-12
Thu Jun 12 21:37:27 2008
Thu Jun 12 21:37:27 2008 commencing square root phase
Thu Jun 12 21:37:27 2008 reading relations for dependency 8
Thu Jun 12 21:37:29 2008 read 5439848 cycles
Thu Jun 12 21:37:43 2008
Thu Jun 12 21:37:43 2008
Thu Jun 12 21:37:43 2008 Msieve v. 1.36
Thu Jun 12 21:37:43 2008 random seeds: e2b1d49f 5ee43354
Thu Jun 12 21:37:43 2008 factoring 335459675625609149175297167279450921870290004359855488474349800604684676808779128654874968143040989227628999838976995301951696249550780031080201529867354997964923887370399829553937398498477518500988216249226538719 (213 digits)
Thu Jun 12 21:37:46 2008 no P-1/P+1/ECM available, skipping
Thu Jun 12 21:37:46 2008 commencing number field sieve (213-digit input)
Thu Jun 12 21:37:46 2008 R0: -1
Thu Jun 12 21:37:46 2008 R1: 51033734998926612867456790104688979607552
Thu Jun 12 21:37:46 2008 A0: 16
Thu Jun 12 21:37:46 2008 A1: 0
Thu Jun 12 21:37:46 2008 A2: 0
Thu Jun 12 21:37:46 2008 A3: 0
Thu Jun 12 21:37:46 2008 A4: 0
Thu Jun 12 21:37:46 2008 A5: 0
Thu Jun 12 21:37:46 2008 A6: 3
Thu Jun 12 21:37:46 2008 size score = 6.042010e-12, Murphy alpha = 0.890595, combined = 4.684602e-12
Thu Jun 12 21:37:46 2008
Thu Jun 12 21:37:46 2008 commencing square root phase
Thu Jun 12 21:37:46 2008 reading relations for dependency 13
Thu Jun 12 21:37:49 2008 read 5439018 cycles
Thu Jun 12 21:38:03 2008
Thu Jun 12 21:38:03 2008
Thu Jun 12 21:38:03 2008 Msieve v. 1.36
Thu Jun 12 21:38:03 2008 random seeds: 93f7e2f7 408f9a72
Thu Jun 12 21:38:03 2008 factoring 335459675625609149175297167279450921870290004359855488474349800604684676808779128654874968143040989227628999838976995301951696249550780031080201529867354997964923887370399829553937398498477518500988216249226538719 (213 digits)
Thu Jun 12 21:38:06 2008 no P-1/P+1/ECM available, skipping
Thu Jun 12 21:38:06 2008 commencing number field sieve (213-digit input)
Thu Jun 12 21:38:06 2008 R0: -1
Thu Jun 12 21:38:06 2008 R1: 51033734998926612867456790104688979607552
Thu Jun 12 21:38:06 2008 A0: 16
Thu Jun 12 21:38:06 2008 A1: 0
Thu Jun 12 21:38:06 2008 A2: 0
Thu Jun 12 21:38:06 2008 A3: 0
Thu Jun 12 21:38:06 2008 A4: 0
Thu Jun 12 21:38:06 2008 A5: 0
Thu Jun 12 21:38:06 2008 A6: 3
Thu Jun 12 21:38:06 2008 size score = 6.042010e-12, Murphy alpha = 0.890595, combined = 4.684602e-12
Thu Jun 12 21:38:06 2008
Thu Jun 12 21:38:06 2008 commencing square root phase
Thu Jun 12 21:38:06 2008 reading relations for dependency 17
Thu Jun 12 21:38:09 2008 read 5438613 cycles
Thu Jun 12 21:38:46 2008 cycles contain 17840531 unique relations
Thu Jun 12 21:39:09 2008 cycles contain 17837933 unique relations
Thu Jun 12 21:39:29 2008 cycles contain 17838436 unique relations
Thu Jun 12 21:42:31 2008 read 17840531 relations
Thu Jun 12 21:42:53 2008 read 17837933 relations
Thu Jun 12 21:43:14 2008 read 17838436 relations
Thu Jun 12 21:51:17 2008 multiplying 25172292 relations
Thu Jun 12 21:51:45 2008 multiplying 25173144 relations
Thu Jun 12 21:52:07 2008 multiplying 25169864 relations
Thu Jun 12 22:17:39 2008 Newton iteration failed to converge
Thu Jun 12 22:17:39 2008 algebraic square root failed
Thu Jun 12 22:17:39 2008 reading relations for dependency 2
Thu Jun 12 22:17:43 2008 read 5438325 cycles
Thu Jun 12 22:19:12 2008 cycles contain 17838408 unique relations
Thu Jun 12 22:23:01 2008 read 17838408 relations
Thu Jun 12 22:32:14 2008 multiplying 25171454 relations
Fri Jun 13 00:34:35 2008 multiply complete, coefficients have about 672.27 million bits
Fri Jun 13 00:34:56 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 00:34:59 2008 initial square root is modulo 53
Fri Jun 13 00:36:47 2008 multiply complete, coefficients have about 672.30 million bits
Fri Jun 13 00:37:07 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 00:37:10 2008 initial square root is modulo 53
Fri Jun 13 00:39:26 2008 multiply complete, coefficients have about 672.21 million bits
Fri Jun 13 00:39:46 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 00:39:49 2008 initial square root is modulo 53
Fri Jun 13 01:17:57 2008 multiply complete, coefficients have about 672.24 million bits
Fri Jun 13 01:18:17 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 01:18:20 2008 initial square root is modulo 53
Fri Jun 13 07:08:55 2008 Newton iteration failed to converge
Fri Jun 13 07:08:55 2008 algebraic square root failed
Fri Jun 13 07:08:55 2008 reading relations for dependency 9
Fri Jun 13 07:08:57 2008 read 5438808 cycles
Fri Jun 13 07:10:22 2008 reading relations for dependency 14
Fri Jun 13 07:10:24 2008 cycles contain 17841405 unique relations
Fri Jun 13 07:10:25 2008 read 5437936 cycles
Fri Jun 13 07:11:47 2008 cycles contain 17836846 unique relations
Fri Jun 13 07:14:07 2008 read 17841405 relations
Fri Jun 13 07:14:24 2008 Newton iteration failed to converge
Fri Jun 13 07:14:24 2008 algebraic square root failed
Fri Jun 13 07:14:24 2008 reading relations for dependency 18
Fri Jun 13 07:14:26 2008 read 5439053 cycles
Fri Jun 13 07:15:30 2008 read 17836846 relations
Fri Jun 13 07:15:47 2008 cycles contain 17833961 unique relations
Fri Jun 13 07:19:28 2008 read 17833961 relations
Fri Jun 13 07:22:50 2008 multiplying 25174694 relations
Fri Jun 13 07:24:19 2008 multiplying 25172572 relations
Fri Jun 13 07:28:27 2008 multiplying 25162186 relations
Fri Jun 13 07:36:57 2008 Newton iteration failed to converge
Fri Jun 13 07:36:57 2008 algebraic square root failed
Fri Jun 13 07:36:57 2008 reading relations for dependency 3
Fri Jun 13 07:37:00 2008 read 5438737 cycles
Fri Jun 13 07:38:22 2008 cycles contain 17837531 unique relations
Fri Jun 13 07:42:12 2008 read 17837531 relations
Fri Jun 13 07:52:29 2008 multiplying 25167794 relations
Fri Jun 13 09:59:59 2008 multiply complete, coefficients have about 672.34 million bits
Fri Jun 13 10:00:19 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 10:00:23 2008 initial square root is modulo 53
Fri Jun 13 10:01:13 2008 multiply complete, coefficients have about 672.28 million bits
Fri Jun 13 10:01:33 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 10:01:36 2008 initial square root is modulo 53
Fri Jun 13 10:07:00 2008 multiply complete, coefficients have about 672.00 million bits
Fri Jun 13 10:07:20 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 10:07:24 2008 initial square root is modulo 53
Fri Jun 13 10:30:58 2008 multiply complete, coefficients have about 672.15 million bits
Fri Jun 13 10:31:18 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 10:31:21 2008 initial square root is modulo 53
Fri Jun 13 17:04:42 2008 prp67 factor: 2166927848376622533621794434244289002299826661900783861848021018401
Fri Jun 13 17:04:42 2008 prp147 factor: 154808881097228224900870789538327471357135456753097283039457042273020172352756113992565389119524078109922593553688372006821689639696743920743749119
Fri Jun 13 17:04:42 2008 elapsed time 19:27:18
Fri Jun 13 17:04:57 2008 prp67 factor: 2166927848376622533621794434244289002299826661900783861848021018401
Fri Jun 13 17:04:57 2008 prp147 factor: 154808881097228224900870789538327471357135456753097283039457042273020172352756113992565389119524078109922593553688372006821689639696743920743749119
Fri Jun 13 17:04:57 2008 elapsed time 19:27:14
Fri Jun 13 17:13:30 2008 Newton iteration failed to converge
Fri Jun 13 17:13:31 2008 algebraic square root failed
Fri Jun 13 17:13:31 2008 reading relations for dependency 19
Fri Jun 13 17:19:54 2008 Newton iteration failed to converge
Fri Jun 13 17:19:54 2008 algebraic square root failed
Fri Jun 13 17:19:54 2008 reading relations for dependency 4[/CODE]

[QUOTE=frmky;135883]I'm very happy to report the completion of 12,227+. This one was a bit of a pain. First, it was too large to fit in 3GB of memory, so I had no computer capable of completing it for a few weeks. Then, the linear algebra failed because of a hardware error in the computer on which it was running. Finally, after completion of the LA, the sqrt failed on 7 dependencies before succeeding on two almost simultaneously (there were 4 instances running). It frequently failed because the Newton iteration failed to converge, and it took a long time to decide it wasn't converging.
[/QUOTE]
This is the first non-quartic I've seen that was irreducible modulo all primes. Do I read correctly that any dependency that did not succeed had the Newton iteration fail, as opposed to the GCD being 1? That behavior would be much more harsh than the case with quartic polynomials, where it looked like less than half the dependencies have a Newton failure. Unfortunately, I know of no way to determine that the Newton iteration failed, other than to compute the entire square root and then check the size of the coefficients in the answer.

[QUOTE=jasonp;135886]Do I read correctly that any dependency that did not succeed had the Newton iteration fail, as opposed to the GCD being 1?[/QUOTE]

All but one. Out of 7 failures, 6 were due to the Newton iteration failing, and one due to the GCD being 1. So, of 9 total sqrt runs, 6/9 had the Newton iteration fail. I've reordered the lines in the log below so that each run is grouped together. It turns out that even the successful ones took 6.5 to 7 hours for the square root step, so the time was about the same whether it converged or not. In past runs, the multiplication and sqrt root steps have taken about the same amount of time, whereas here the multiplication only took about 2 hours.

[CODE]Thu Jun 12 15:16:07 2008 reading relations for dependency 1
Thu Jun 12 15:16:10 2008 read 5435988 cycles
Thu Jun 12 15:17:18 2008 cycles contain 17832966 unique relations
Thu Jun 12 15:22:50 2008 read 17832966 relations
Thu Jun 12 15:30:01 2008 multiplying 25159180 relations
Thu Jun 12 17:37:04 2008 multiply complete, coefficients have about 671.91 million bits
Thu Jun 12 17:37:24 2008 warning: no irreducible prime found, switching to small primes
Thu Jun 12 17:37:27 2008 initial square root is modulo 53
Thu Jun 12 22:17:39 2008 Newton iteration failed to converge
Thu Jun 12 22:17:39 2008 algebraic square root failed


Thu Jun 12 21:37:27 2008 reading relations for dependency 8
Thu Jun 12 21:37:29 2008 read 5439848 cycles
Thu Jun 12 21:38:46 2008 cycles contain 17840531 unique relations
Thu Jun 12 21:42:31 2008 read 17840531 relations
Thu Jun 12 21:51:17 2008 multiplying 25172292 relations
Fri Jun 13 00:34:35 2008 multiply complete, coefficients have about 672.27 million bits
Fri Jun 13 00:34:56 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 00:34:59 2008 initial square root is modulo 53
Fri Jun 13 07:08:55 2008 Newton iteration failed to converge
Fri Jun 13 07:08:55 2008 algebraic square root failed


Thu Jun 12 21:37:46 2008 reading relations for dependency 13
Thu Jun 12 21:37:49 2008 read 5439018 cycles
Thu Jun 12 21:39:09 2008 cycles contain 17837933 unique relations
Thu Jun 12 21:42:53 2008 read 17837933 relations
Thu Jun 12 21:51:45 2008 multiplying 25173144 relations
Fri Jun 13 00:36:47 2008 multiply complete, coefficients have about 672.30 million bits
Fri Jun 13 00:37:07 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 00:37:10 2008 initial square root is modulo 53
Ended with GCD of 1

Thu Jun 12 21:38:06 2008 reading relations for dependency 17
Thu Jun 12 21:38:09 2008 read 5438613 cycles
Thu Jun 12 21:39:29 2008 cycles contain 17838436 unique relations
Thu Jun 12 21:43:14 2008 read 17838436 relations
Thu Jun 12 21:52:07 2008 multiplying 25169864 relations
Fri Jun 13 00:39:26 2008 multiply complete, coefficients have about 672.21 million bits
Fri Jun 13 00:39:46 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 00:39:49 2008 initial square root is modulo 53
Fri Jun 13 07:14:24 2008 Newton iteration failed to converge
Fri Jun 13 07:14:24 2008 algebraic square root failed


Thu Jun 12 22:17:39 2008 reading relations for dependency 2
Thu Jun 12 22:17:43 2008 read 5438325 cycles
Thu Jun 12 22:19:12 2008 cycles contain 17838408 unique relations
Thu Jun 12 22:23:01 2008 read 17838408 relations
Thu Jun 12 22:32:14 2008 multiplying 25171454 relations
Fri Jun 13 01:17:57 2008 multiply complete, coefficients have about 672.24 million bits
Fri Jun 13 01:18:17 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 01:18:20 2008 initial square root is modulo 53
Fri Jun 13 07:36:57 2008 Newton iteration failed to converge
Fri Jun 13 07:36:57 2008 algebraic square root failed

Fri Jun 13 07:08:55 2008 reading relations for dependency 9
Fri Jun 13 07:08:57 2008 read 5438808 cycles
Fri Jun 13 07:10:24 2008 cycles contain 17841405 unique relations
Fri Jun 13 07:14:07 2008 read 17841405 relations
Fri Jun 13 07:22:50 2008 multiplying 25174694 relations
Fri Jun 13 09:59:59 2008 multiply complete, coefficients have about 672.34 million bits
Fri Jun 13 10:00:19 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 10:00:23 2008 initial square root is modulo 53
Fri Jun 13 17:04:42 2008 prp67 factor: 2166927848376622533621794434244289002299826661900783861848021018401
Fri Jun 13 17:04:42 2008 prp147 factor: 154808881097228224900870789538327471357135456753097283039457042273020172352756113992565389119524078109922593553688372006821689639696743920743749119
Fri Jun 13 17:04:42 2008 elapsed time 19:27:18

Fri Jun 13 07:10:22 2008 reading relations for dependency 14
Fri Jun 13 07:10:25 2008 read 5437936 cycles
Fri Jun 13 07:11:47 2008 cycles contain 17836846 unique relations
Fri Jun 13 07:15:30 2008 read 17836846 relations
Fri Jun 13 07:24:19 2008 multiplying 25172572 relations
Fri Jun 13 10:01:13 2008 multiply complete, coefficients have about 672.28 million bits
Fri Jun 13 10:01:33 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 10:01:36 2008 initial square root is modulo 53
Fri Jun 13 17:04:57 2008 prp67 factor: 2166927848376622533621794434244289002299826661900783861848021018401
Fri Jun 13 17:04:57 2008 prp147 factor: 154808881097228224900870789538327471357135456753097283039457042273020172352756113992565389119524078109922593553688372006821689639696743920743749119
Fri Jun 13 17:04:57 2008 elapsed time 19:27:14

Fri Jun 13 07:14:24 2008 reading relations for dependency 18
Fri Jun 13 07:14:26 2008 read 5439053 cycles
Fri Jun 13 07:15:47 2008 cycles contain 17833961 unique relations
Fri Jun 13 07:19:28 2008 read 17833961 relations
Fri Jun 13 07:28:27 2008 multiplying 25162186 relations
Fri Jun 13 10:07:00 2008 multiply complete, coefficients have about 672.00 million bits
Fri Jun 13 10:07:20 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 10:07:24 2008 initial square root is modulo 53
Fri Jun 13 17:13:30 2008 Newton iteration failed to converge
Fri Jun 13 17:13:31 2008 algebraic square root failed

Fri Jun 13 07:36:57 2008 reading relations for dependency 3
Fri Jun 13 07:37:00 2008 read 5438737 cycles
Fri Jun 13 07:38:22 2008 cycles contain 17837531 unique relations
Fri Jun 13 07:42:12 2008 read 17837531 relations
Fri Jun 13 07:52:29 2008 multiplying 25167794 relations
Fri Jun 13 10:30:58 2008 multiply complete, coefficients have about 672.15 million bits
Fri Jun 13 10:31:18 2008 warning: no irreducible prime found, switching to small primes
Fri Jun 13 10:31:21 2008 initial square root is modulo 53
Fri Jun 13 17:19:54 2008 Newton iteration failed to converge
Fri Jun 13 17:19:54 2008 algebraic square root failed[/CODE]

[QUOTE=frmky;135888]All but one. Out of 7 failures, 6 were due to the Newton iteration failing, and one due to the GCD being 1. So, of 9 total sqrt runs, 6/9 had the Newton iteration fail. I've reordered the lines in the log below so that each run is grouped together. It turns out that even the successful ones took 6.5 to 7 hours for the square root step, so the time was about the same whether it converged or not. In past runs, the multiplication and sqrt root steps have taken about the same amount of time, whereas here the multiplication only took about 2 hours.
[/QUOTE]
Okay, I guess if you tried all 40+ dependencies the numbers would average out to the same behavior as before.

2,788+ is done. It was much better behaved.

[CODE]Tue May 20 22:55:41 2008 Msieve v. 1.36
Tue May 20 22:55:41 2008 random seeds: 33624706 3d2aa87b
Tue May 20 22:55:41 2008 factoring 432960138980806151487808948352741892925540018937432090841998828196671671777398413427867208448036064702759008260617406141183590185021130877479621458264031839592857507945727122822369346611462352303202186378277383818277121 (219 digits)
Tue May 20 22:55:44 2008 no P-1/P+1/ECM available, skipping
Tue May 20 22:55:44 2008 commencing number field sieve (219-digit input)
Tue May 20 22:55:44 2008 R0: -1
Tue May 20 22:55:44 2008 R1: 2722258935367507707706996859454145691648
Tue May 20 22:55:44 2008 A0: 4
Tue May 20 22:55:44 2008 A1: 0
Tue May 20 22:55:44 2008 A2: 0
Tue May 20 22:55:44 2008 A3: 0
Tue May 20 22:55:44 2008 A4: 0
Tue May 20 22:55:44 2008 A5: 0
Tue May 20 22:55:44 2008 A6: 1
Tue May 20 22:55:44 2008 size score = 2.004558e-11, Murphy alpha = 1.946683, combined = 1.149387e-11
Tue May 20 22:56:19 2008 restarting with 88842658 relations
Tue May 20 22:56:24 2008 added 45908 free relations
Tue May 20 22:56:24 2008
Tue May 20 22:56:24 2008 commencing relation filtering
Tue May 20 22:56:24 2008 commencing duplicate removal, pass 1
Tue May 20 22:59:45 2008 error -6 reading relation 18382284
Tue May 20 22:59:45 2008 error -11 reading relation 18382285
Tue May 20 23:01:48 2008 error -11 reading relation 29498542
Tue May 20 23:02:08 2008 error -11 reading relation 31349212
Tue May 20 23:03:06 2008 error -11 reading relation 36679058
Tue May 20 23:06:20 2008 error -11 reading relation 55106490
Tue May 20 23:06:31 2008 error -11 reading relation 56200969
Tue May 20 23:06:35 2008 error -6 reading relation 56553978
Tue May 20 23:06:39 2008 error -11 reading relation 56866293
Tue May 20 23:07:57 2008 error -6 reading relation 64232209
Tue May 20 23:07:58 2008 error -11 reading relation 64362045
Tue May 20 23:08:29 2008 error -11 reading relation 67257310
Tue May 20 23:11:19 2008 error -11 reading relation 84756923
Tue May 20 23:11:45 2008 error -11 reading relation 87205325
Tue May 20 23:11:47 2008 error -11 reading relation 87373249
Tue May 20 23:12:00 2008 error -11 reading relation 88594830
Tue May 20 23:12:05 2008 found 11942046 hash collisions in 88888550 relations
Tue May 20 23:12:05 2008 commencing duplicate removal, pass 2
Tue May 20 23:14:33 2008 found 3 duplicates and 88888547 unique relations
Tue May 20 23:14:33 2008 memory use: 504.8 MB
Tue May 20 23:15:00 2008 ignoring smallest 3001346 rational and 2999651 algebraic ideals
Tue May 20 23:15:00 2008 filtering rational ideals above 50003968
Tue May 20 23:15:00 2008 filtering algebraic ideals above 50003968
Tue May 20 23:15:00 2008 need 9001495 more relations than ideals
Tue May 20 23:15:00 2008 commencing singleton removal, pass 1
Tue May 20 23:31:46 2008 relations with 0 large ideals: 539398
Tue May 20 23:31:46 2008 relations with 1 large ideals: 4091548
Tue May 20 23:31:46 2008 relations with 2 large ideals: 14542539
Tue May 20 23:31:46 2008 relations with 3 large ideals: 27852172
Tue May 20 23:31:46 2008 relations with 4 large ideals: 28636102
Tue May 20 23:31:46 2008 relations with 5 large ideals: 13226788
Tue May 20 23:31:46 2008 relations with 6 large ideals: 0
Tue May 20 23:31:46 2008 relations with 7+ large ideals: 0
Tue May 20 23:31:46 2008 88888547 relations and about 61836157 large ideals
Tue May 20 23:31:46 2008 commencing singleton removal, pass 2
Tue May 20 23:48:25 2008 found 15143463 singletons
Tue May 20 23:48:25 2008 current dataset: 73745084 relations and about 45597286 large ideals
Tue May 20 23:48:25 2008 commencing singleton removal, pass 3
Wed May 21 00:02:30 2008 relations with 0 large ideals: 539398
Wed May 21 00:02:30 2008 relations with 1 large ideals: 3883115
Wed May 21 00:02:30 2008 relations with 2 large ideals: 13042645
Wed May 21 00:02:30 2008 relations with 3 large ideals: 23576639
Wed May 21 00:02:30 2008 relations with 4 large ideals: 22806516
Wed May 21 00:02:30 2008 relations with 5 large ideals: 9896771
Wed May 21 00:02:30 2008 relations with 6 large ideals: 0
Wed May 21 00:02:30 2008 relations with 7+ large ideals: 0
Wed May 21 00:02:30 2008 73745084 relations and about 57437361 large ideals
Wed May 21 00:02:30 2008 commencing singleton removal, pass 4
Wed May 21 00:16:34 2008 found 12564550 singletons
Wed May 21 00:16:34 2008 current dataset: 61180534 relations and about 43966262 large ideals
Wed May 21 00:16:34 2008 commencing singleton removal, pass 5
Wed May 21 00:28:24 2008 found 2795715 singletons
Wed May 21 00:28:24 2008 current dataset: 58384819 relations and about 41116834 large ideals
Wed May 21 00:28:24 2008 commencing singleton removal, pass 6
Wed May 21 00:39:42 2008 found 580713 singletons
Wed May 21 00:39:42 2008 current dataset: 57804106 relations and about 40533687 large ideals
Wed May 21 00:39:42 2008 commencing singleton removal, pass 7
Wed May 21 00:50:54 2008 found 114295 singletons
Wed May 21 00:50:54 2008 current dataset: 57689811 relations and about 40419278 large ideals
Wed May 21 00:50:54 2008 commencing singleton removal, final pass
Wed May 21 01:06:41 2008 memory use: 1139.3 MB
Wed May 21 01:06:42 2008 commencing in-memory singleton removal
Wed May 21 01:06:54 2008 begin with 57689811 relations and 46855449 unique ideals
Wed May 21 01:09:51 2008 reduce to 50622159 relations and 39612462 ideals in 13 passes
Wed May 21 01:09:51 2008 max relations containing the same ideal: 33
Wed May 21 01:11:05 2008 removing 3291232 relations and 2891232 ideals in 400000 cliques
Wed May 21 01:11:08 2008 commencing in-memory singleton removal
Wed May 21 01:11:19 2008 begin with 47330927 relations and 39612462 unique ideals
Wed May 21 01:13:00 2008 reduce to 47209647 relations and 36598724 ideals in 8 passes
Wed May 21 01:13:00 2008 max relations containing the same ideal: 33
Wed May 21 01:14:03 2008 removing 2423423 relations and 2023423 ideals in 400000 cliques
Wed May 21 01:14:06 2008 commencing in-memory singleton removal
Wed May 21 01:14:15 2008 begin with 44786224 relations and 36598724 unique ideals
Wed May 21 01:15:37 2008 reduce to 44712607 relations and 34501028 ideals in 7 passes
Wed May 21 01:15:37 2008 max relations containing the same ideal: 32
Wed May 21 01:16:36 2008 removing 2142452 relations and 1742452 ideals in 400000 cliques
Wed May 21 01:16:39 2008 commencing in-memory singleton removal
Wed May 21 01:16:48 2008 begin with 42570155 relations and 34501028 unique ideals
Wed May 21 01:18:11 2008 reduce to 42508086 relations and 32695973 ideals in 7 passes
Wed May 21 01:18:11 2008 max relations containing the same ideal: 31
Wed May 21 01:19:07 2008 removing 1984027 relations and 1584027 ideals in 400000 cliques
Wed May 21 01:19:10 2008 commencing in-memory singleton removal
Wed May 21 01:19:18 2008 begin with 40524059 relations and 32695973 unique ideals
Wed May 21 01:20:32 2008 reduce to 40468294 relations and 31055741 ideals in 7 passes
Wed May 21 01:20:32 2008 max relations containing the same ideal: 30
Wed May 21 01:21:24 2008 removing 1870220 relations and 1470220 ideals in 400000 cliques
Wed May 21 01:21:27 2008 commencing in-memory singleton removal
Wed May 21 01:21:35 2008 begin with 38598074 relations and 31055741 unique ideals
Wed May 21 01:22:35 2008 reduce to 38542308 relations and 29529267 ideals in 6 passes
Wed May 21 01:22:35 2008 max relations containing the same ideal: 29
Wed May 21 01:23:26 2008 removing 84606 relations and 73061 ideals in 11545 cliques
Wed May 21 01:23:27 2008 commencing in-memory singleton removal
Wed May 21 01:23:35 2008 begin with 38457702 relations and 29529267 unique ideals
Wed May 21 01:24:04 2008 reduce to 38457618 relations and 29456122 ideals in 3 passes
Wed May 21 01:24:04 2008 max relations containing the same ideal: 29
Wed May 21 01:24:12 2008 filtering rational ideals above 720000
Wed May 21 01:24:12 2008 filtering algebraic ideals above 720000
Wed May 21 01:24:12 2008 need 115876 more relations than ideals
Wed May 21 01:24:12 2008 commencing singleton removal, final pass
Wed May 21 02:01:52 2008 keeping 42001897 ideals with weight <= 20, new excess is 3611562
Wed May 21 02:03:25 2008 memory use: 1359.9 MB
Wed May 21 02:03:26 2008 commencing in-memory singleton removal
Wed May 21 02:03:38 2008 begin with 50622159 relations and 42001897 unique ideals
Wed May 21 02:04:36 2008 reduce to 50622131 relations and 42001869 ideals in 4 passes
Wed May 21 02:04:36 2008 max relations containing the same ideal: 20
Wed May 21 02:05:56 2008 removing 3291268 relations and 2891268 ideals in 400000 cliques
Wed May 21 02:06:00 2008 commencing in-memory singleton removal
Wed May 21 02:06:11 2008 begin with 47330863 relations and 42001869 unique ideals
Wed May 21 02:08:01 2008 reduce to 47209588 relations and 38988097 ideals in 8 passes
Wed May 21 02:08:01 2008 max relations containing the same ideal: 20
Wed May 21 02:09:11 2008 removing 2423466 relations and 2023466 ideals in 400000 cliques
Wed May 21 02:09:14 2008 commencing in-memory singleton removal
Wed May 21 02:09:24 2008 begin with 44786122 relations and 38988097 unique ideals
Wed May 21 02:10:55 2008 reduce to 44712500 relations and 36890349 ideals in 7 passes
Wed May 21 02:10:55 2008 max relations containing the same ideal: 20
Wed May 21 02:12:01 2008 removing 2142692 relations and 1742692 ideals in 400000 cliques
Wed May 21 02:12:03 2008 commencing in-memory singleton removal
Wed May 21 02:12:14 2008 begin with 42569808 relations and 36890349 unique ideals
Wed May 21 02:13:41 2008 reduce to 42507727 relations and 35085042 ideals in 7 passes
Wed May 21 02:13:41 2008 max relations containing the same ideal: 20
Wed May 21 02:14:44 2008 removing 1983924 relations and 1583924 ideals in 400000 cliques
Wed May 21 02:14:46 2008 commencing in-memory singleton removal
Wed May 21 02:14:57 2008 begin with 40523803 relations and 35085042 unique ideals
Wed May 21 02:16:21 2008 reduce to 40468024 relations and 33444903 ideals in 7 passes
Wed May 21 02:16:21 2008 max relations containing the same ideal: 20
Wed May 21 02:17:20 2008 removing 1871191 relations and 1471191 ideals in 400000 cliques
Wed May 21 02:17:22 2008 commencing in-memory singleton removal
Wed May 21 02:17:31 2008 begin with 38596833 relations and 33444903 unique ideals
Wed May 21 02:18:38 2008 reduce to 38541209 relations and 31917598 ideals in 6 passes
Wed May 21 02:18:38 2008 max relations containing the same ideal: 20
Wed May 21 02:19:34 2008 removing 1796079 relations and 1396079 ideals in 400000 cliques
Wed May 21 02:19:37 2008 commencing in-memory singleton removal
Wed May 21 02:19:45 2008 begin with 36745130 relations and 31917598 unique ideals
Wed May 21 02:21:00 2008 reduce to 36693255 relations and 30469209 ideals in 7 passes
Wed May 21 02:21:00 2008 max relations containing the same ideal: 20
Wed May 21 02:21:54 2008 removing 1733689 relations and 1333689 ideals in 400000 cliques
Wed May 21 02:21:56 2008 commencing in-memory singleton removal
Wed May 21 02:22:04 2008 begin with 34959566 relations and 30469209 unique ideals
Wed May 21 02:23:13 2008 reduce to 34907597 relations and 29083073 ideals in 7 passes
Wed May 21 02:23:13 2008 max relations containing the same ideal: 20
Wed May 21 02:24:04 2008 removing 1684547 relations and 1284547 ideals in 400000 cliques
Wed May 21 02:24:06 2008 commencing in-memory singleton removal
Wed May 21 02:24:14 2008 begin with 33223050 relations and 29083073 unique ideals
Wed May 21 02:25:20 2008 reduce to 33170253 relations and 27745220 ideals in 7 passes
Wed May 21 02:25:20 2008 max relations containing the same ideal: 20
Wed May 21 02:26:08 2008 removing 1651409 relations and 1251409 ideals in 400000 cliques
Wed May 21 02:26:10 2008 commencing in-memory singleton removal
Wed May 21 02:26:17 2008 begin with 31518844 relations and 27745220 unique ideals
Wed May 21 02:27:10 2008 reduce to 31468201 relations and 26442635 ideals in 6 passes
Wed May 21 02:27:10 2008 max relations containing the same ideal: 20
Wed May 21 02:27:55 2008 removing 1611474 relations and 1211474 ideals in 400000 cliques
Wed May 21 02:27:57 2008 commencing in-memory singleton removal
Wed May 21 02:28:04 2008 begin with 29856727 relations and 26442635 unique ideals
Wed May 21 02:28:55 2008 reduce to 29802011 relations and 25175872 ideals in 6 passes
Wed May 21 02:28:55 2008 max relations containing the same ideal: 20
Wed May 21 02:29:37 2008 removing 1591901 relations and 1191901 ideals in 400000 cliques
Wed May 21 02:29:39 2008 commencing in-memory singleton removal
Wed May 21 02:29:46 2008 begin with 28210110 relations and 25175872 unique ideals
Wed May 21 02:30:40 2008 reduce to 28152624 relations and 23925861 ideals in 7 passes
Wed May 21 02:30:40 2008 max relations containing the same ideal: 20
Wed May 21 02:31:20 2008 removing 213464 relations and 176113 ideals in 37351 cliques
Wed May 21 02:31:21 2008 commencing in-memory singleton removal
Wed May 21 02:31:28 2008 begin with 27939160 relations and 23925861 unique ideals
Wed May 21 02:31:59 2008 reduce to 27938232 relations and 23748820 ideals in 4 passes
Wed May 21 02:31:59 2008 max relations containing the same ideal: 20
Wed May 21 02:32:10 2008 relations with 0 large ideals: 175315
Wed May 21 02:32:10 2008 relations with 1 large ideals: 1186951
Wed May 21 02:32:10 2008 relations with 2 large ideals: 4280839
Wed May 21 02:32:10 2008 relations with 3 large ideals: 7966844
Wed May 21 02:32:10 2008 relations with 4 large ideals: 8144171
Wed May 21 02:32:10 2008 relations with 5 large ideals: 4597659
Wed May 21 02:32:10 2008 relations with 6 large ideals: 1347770
Wed May 21 02:32:10 2008 relations with 7+ large ideals: 238683
Wed May 21 02:32:10 2008 commencing 2-way merge
Wed May 21 02:32:58 2008 reduce to 19194291 relation sets and 15004879 unique ideals
Wed May 21 02:32:58 2008 commencing full merge
Wed May 21 02:42:23 2008 memory use: 1471.2 MB
Wed May 21 02:42:26 2008 found 9956609 cycles, need 9379079
Wed May 21 02:42:34 2008 weight of 9379079 cycles is about 656625466 (70.01/cycle)
Wed May 21 02:42:34 2008 distribution of cycle lengths:
Wed May 21 02:42:34 2008 1 relations: 892851
Wed May 21 02:42:34 2008 2 relations: 1163407
Wed May 21 02:42:34 2008 3 relations: 1269770
Wed May 21 02:42:34 2008 4 relations: 1199933
Wed May 21 02:42:34 2008 5 relations: 1106326
Wed May 21 02:42:34 2008 6 relations: 954621
Wed May 21 02:42:34 2008 7 relations: 811090
Wed May 21 02:42:34 2008 8 relations: 663446
Wed May 21 02:42:34 2008 9 relations: 526239
Wed May 21 02:42:34 2008 10+ relations: 791396
Wed May 21 02:42:34 2008 heaviest cycle: 13 relations
Wed May 21 02:42:40 2008 commencing cycle optimization
Wed May 21 02:43:22 2008 start with 47224503 relations
Wed May 21 02:48:20 2008 pruned 701429 relations
Wed May 21 02:48:21 2008 memory use: 1589.7 MB
Wed May 21 02:48:21 2008 distribution of cycle lengths:
Wed May 21 02:48:21 2008 1 relations: 892851
Wed May 21 02:48:21 2008 2 relations: 1176604
Wed May 21 02:48:21 2008 3 relations: 1299466
Wed May 21 02:48:21 2008 4 relations: 1218974
Wed May 21 02:48:21 2008 5 relations: 1128991
Wed May 21 02:48:21 2008 6 relations: 966803
Wed May 21 02:48:21 2008 7 relations: 819622
Wed May 21 02:48:21 2008 8 relations: 662346
Wed May 21 02:48:21 2008 9 relations: 515953
Wed May 21 02:48:21 2008 10+ relations: 697469
Wed May 21 02:48:21 2008 heaviest cycle: 13 relations
Wed May 21 02:49:16 2008
Wed May 21 02:49:16 2008 commencing linear algebra
Wed May 21 02:49:18 2008 read 9379079 cycles
Wed May 21 02:52:07 2008 cycles contain 26006014 unique relations
Wed May 21 02:57:03 2008 read 26006014 relations
Wed May 21 02:59:06 2008 using 32 quadratic characters above 1073739438
Wed May 21 03:05:27 2008 building initial matrix
Wed May 21 03:22:06 2008 memory use: 3201.1 MB
Wed May 21 03:22:17 2008 read 9379079 cycles
Wed May 21 03:22:29 2008 matrix is 9378786 x 9379079 (2821.8 MB) with weight 867377154 (92.48/col)
Wed May 21 03:22:29 2008 sparse part has weight 636544845 (67.87/col)
Wed May 21 03:31:31 2008 filtering completed in 3 passes
Wed May 21 03:31:36 2008 matrix is 9359311 x 9359511 (2819.6 MB) with weight 866538821 (92.58/col)
Wed May 21 03:31:36 2008 sparse part has weight 636180548 (67.97/col)
Wed May 21 03:33:40 2008 read 9359511 cycles
Wed May 21 03:33:52 2008 matrix is 9359311 x 9359511 (2819.6 MB) with weight 866538821 (92.58/col)
Wed May 21 03:33:52 2008 sparse part has weight 636180548 (67.97/col)
Wed May 21 03:33:53 2008 saving the first 48 matrix rows for later
Wed May 21 03:34:03 2008 matrix is 9359263 x 9359511 (2689.7 MB) with weight 666426223 (71.20/col)
Wed May 21 03:34:04 2008 sparse part has weight 611482576 (65.33/col)
Wed May 21 03:34:04 2008 matrix includes 64 packed rows
Wed May 21 03:34:04 2008 using block size 65536 for processor cache size 2048 kB
Wed May 21 03:35:24 2008 commencing Lanczos iteration
Wed May 21 03:35:24 2008 memory use: 2628.3 MB
Mon Jun 2 16:39:30 2008 lanczos halted after 50310 iterations (dim = 3181456)

... a few restarts ...

Fri Jun 13 17:27:33 2008 Msieve v. 1.36
Fri Jun 13 17:27:33 2008 random seeds: c0ce6251 65bc677c
Fri Jun 13 17:27:33 2008 factoring 432960138980806151487808948352741892925540018937432090841998828196671671777398413427867208448036064702759008260617406141183590185021130877479621458264031839592857507945727122822369346611462352303202186378277383818277121 (219 digits)
Fri Jun 13 17:27:36 2008 no P-1/P+1/ECM available, skipping
Fri Jun 13 17:27:36 2008 commencing number field sieve (219-digit input)
Fri Jun 13 17:27:36 2008 R0: -1
Fri Jun 13 17:27:36 2008 R1: 2722258935367507707706996859454145691648
Fri Jun 13 17:27:36 2008 A0: 4
Fri Jun 13 17:27:36 2008 A1: 0
Fri Jun 13 17:27:36 2008 A2: 0
Fri Jun 13 17:27:36 2008 A3: 0
Fri Jun 13 17:27:36 2008 A4: 0
Fri Jun 13 17:27:36 2008 A5: 0
Fri Jun 13 17:27:36 2008 A6: 1
Fri Jun 13 17:27:36 2008 size score = 2.004558e-11, Murphy alpha = 1.946683, combined = 1.149387e-11
Fri Jun 13 17:27:36 2008
Fri Jun 13 17:27:36 2008 commencing linear algebra
Fri Jun 13 17:27:38 2008 read 9359511 cycles
Fri Jun 13 17:27:48 2008 matrix is 9359311 x 9359511 (2819.6 MB) with weight 866538821 (92.58/col)
Fri Jun 13 17:27:48 2008 sparse part has weight 636180548 (67.97/col)
Fri Jun 13 17:27:49 2008 saving the first 48 matrix rows for later
Fri Jun 13 17:27:57 2008 matrix is 9359263 x 9359511 (2689.7 MB) with weight 666426223 (71.20/col)
Fri Jun 13 17:27:58 2008 sparse part has weight 611482576 (65.33/col)
Fri Jun 13 17:27:58 2008 matrix includes 64 packed rows
Fri Jun 13 17:27:58 2008 using block size 65536 for processor cache size 2048 kB
Fri Jun 13 17:29:16 2008 commencing Lanczos iteration (8 threads)
Fri Jun 13 17:29:16 2008 memory use: 3128.2 MB
Fri Jun 13 17:29:16 2008 restarting at iteration 112127 (dim = 7090384)
Mon Jun 16 16:04:48 2008 lanczos halted after 148012 iterations (dim = 9359261)
Mon Jun 16 16:05:15 2008 recovered 51 nontrivial dependencies
Mon Jun 16 16:05:16 2008
Mon Jun 16 16:05:16 2008 commencing square root phase
Mon Jun 16 16:05:16 2008 reading relations for dependency 1
Mon Jun 16 16:05:19 2008 read 4680431 cycles
Mon Jun 16 16:06:11 2008 cycles contain 16022939 unique relations
Mon Jun 16 16:09:30 2008 read 16022939 relations
Mon Jun 16 16:15:04 2008 multiplying 23253476 relations
Mon Jun 16 17:39:52 2008 multiply complete, coefficients have about 578.89 million bits
Mon Jun 16 17:40:12 2008 initial square root is modulo 156259
Mon Jun 16 20:30:06 2008 reading relations for dependency 2
Mon Jun 16 20:30:09 2008 read 4678682 cycles
Mon Jun 16 20:31:01 2008 cycles contain 16014239 unique relations
Mon Jun 16 20:34:19 2008 read 16014239 relations
Mon Jun 16 20:39:54 2008 multiplying 23239734 relations
Mon Jun 16 22:05:18 2008 multiply complete, coefficients have about 578.56 million bits
Mon Jun 16 22:05:38 2008 initial square root is modulo 155083
Tue Jun 17 00:56:08 2008 prp83 factor: 16485261130656200872482989844198639841091212639645236223887409386257443385451391361
Tue Jun 17 00:56:08 2008 prp137 factor: 26263468655383807101496392129281392942858668203271326927720057420834103695992620959569295149357942858387859501158855391394137521784588161
Tue Jun 17 00:56:08 2008 elapsed time 79:28:35
[/CODE]

Greg

[QUOTE=frmky;136106]2,788+ is done. It was much better behaved.

[CODE]
Tue Jun 17 00:56:08 2008 prp83 factor: 16485261130656200872482989844198639841091212639645236223887409386257443385451391361
Tue Jun 17 00:56:08 2008 prp137 factor: 26263468655383807101496392129281392942858668203271326927720057420834103695992620959569295149357942858387859501158855391394137521784588161
Tue Jun 17 00:56:08 2008 elapsed time 79:28:35
[/CODE]

Greg[/QUOTE]Looks pretty good to me!


Paul

[QUOTE=xilman;136167]Looks pretty good to me!
[/QUOTE]
That's only the time since the last restart. It took somewhat longer. Due to all the restarts and downtime, though, I'm not sure how much longer.
Greg

Looks like a 3x speedup on 8 cores versus 1; the whole job would have taken 291 hours at the speed of the last part of the run or 885 hours at the speed of the first.

[QUOTE=fivemack;136185]Looks like a 3x speedup on 8 cores versus 1; the whole job would have taken 291 hours at the speed of the last part of the run or 885 hours at the speed of the first.[/QUOTE]

This is very much in keeping with other experimental observations. The speedup is approximately proportional to the square root of the number of processing elements.

[QUOTE=Wacky;136186]This is very much in keeping with other experimental observations. The speedup is approximately proportional to the square root of the number of processing elements.[/QUOTE]

Yes, it does scale as about the sqrt of the number of cores used until about 8 cores. 12 cores, though, are slower than 8 cores. I haven't tried above that.

Greg

I suspect that the scaling becomes limited by the memory architecture. At some point, a saturation effect will cause things to slow down (like the "thrashing" that occurs when you overload a VM system. Failure of one part of the system to "keep up" causes other caches to purge prematurely, etc.)

Maybe this dependency is not a [I]sqrt[/I], but a [I]c+log[SIZE=1]2[/SIZE][/I] ?
(yes, yes, I am a pessimist)

This pattern reminds me of the DSM organisation of the SGI servers which was a hypercube - and as a consequence memory access time from a CPU to his sibling's memory was proportional to the number of edges from node to node (which is <=4 for 16 units for example). The Opterons are probably reusing the (now extinct) SGI's DSM on a new coil of evolution.

So it looks like we're achieving the scaling that experience would predict if everything was properly tuned. What I wonder now, is how to analyze whether there's additional room for higher performance or maybe better scaling. Greg, could you run 'numastat' while the LA is in progress and see how many non-local page allocations we're getting? Another possibility is to run many more threads than necessary and reduce the amount of work given to any one thread, hoping to get more cache reuse and less idle time out of threads on a single CPU. I should also spend some time playing with oprofile on my machine (or getting one of you to install a kernel module), because otherwise we'll never get hard numbers about where machine cycles are going.

[QUOTE=jasonp;136230]Another possibility is to run many more threads than necessary and reduce the amount of work given to any one thread, hoping to get more cache reuse and less idle time out of threads on a single CPU.[/QUOTE]When I tried that on the MPI-version running at MSR, I found it slowed things down, even if all the processes were on the same system and no messages were sent over the network.

Actually, my first experiments were to set up a 32-cpu, 16 system cluster, to run 16, 36 and 64 processes (giving a square grid in each case) and to use 30 cpus on 15 systems with a 5x6 grid. The aggregate speed was 30 > 36 > 16 > 64. Putting the 16 processes on to 8 systems was faster than splitting them over 16, as might be expected.

Howver, your implementation is quite different so it's an experiment worth trying to see whether it does lead to an improvement.

Paul

[QUOTE=jasonp;136230]So it looks like we're achieving the scaling that experience would predict if everything was properly tuned. What I wonder now, is how to analyze whether there's additional room for higher performance or maybe better scaling. Greg, could you run 'numastat' while the LA is in progress and see how many non-local page allocations we're getting? Another possibility is to run many more threads than necessary and reduce the amount of work given to any one thread, hoping to get more cache reuse and less idle time out of threads on a single CPU. I should also spend some time playing with oprofile on my machine (or getting one of you to install a kernel module), because otherwise we'll never get hard numbers about where machine cycles are going.[/QUOTE]

Since the LA does not scale at anything close to linear, it is a much
better use of the processors to simply accept a longer ELAPSED time
to do the LA. Run on 1 processor only and use the others to start
sieving something else. Total throughput will improve.

[QUOTE=jasonp;136230]Greg, could you run 'numastat' while the LA is in progress and see how many non-local page allocations we're getting?[/QUOTE]

Here's the output. When this was run, nodes 0 and 1 were running the LA (8 threads) on 2,949+ (15875755 x 15876003 (4555.3 MB) with weight 1114396697 (70.19/col)), nodes 2 and 3 were running the smaller LA (7 threads with one core idle ... I need to restart it soon) on 10,241- (9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col)), and nodes 4-7 were idle. Each node has 8 GB of memory.

[CODE] node0 node1 node2 node3 node4 node5 node6 node7
numa_hit 274998776 106792182 113193412 267744560 967142980 973378485 971348098 1002440356
numa_miss 16635435 606023602 511580197 298009012 91617054 29327083 24241671 152533229
numa_foreign 1392825242 39423820 28824102 18038450 53407859 64046284 91550068 41851458
interleave_hit 11255 17473 13797 16425 20329 17243 18579 17571
local_node 274830103 106421928 112944257 267412361 966764545 973002107 971009627 1001980370
other_node 16804108 606393856 511829352 298341211 91995489 29703461 24580142 152993215
[/CODE]

[QUOTE]I should also spend some time playing with oprofile on my machine (or getting one of you to install a kernel module), because otherwise we'll never get hard numbers about where machine cycles are going.[/QUOTE]

I'm the only one using the computer now, so I can help. Just let me know what to do. The computer is running CentOS pretending to be RHEL5.

Greg

[QUOTE=R.D. Silverman;136237]Since the LA does not scale at anything close to linear, it is a much
better use of the processors to simply accept a longer ELAPSED time
to do the LA. Run on 1 processor only and use the others to start
sieving something else. Total throughput will improve.[/QUOTE]True, if you have sufficient memory. If the machine is memory bound, one LA and N-1 sievers will spend so much time thrashing that it's better to get the LA out of the way ASAP.


Paul

[QUOTE=jasonp;136230]I should also spend some time playing with oprofile on my machine (or getting one of you to install a kernel module), because otherwise we'll never get hard numbers about where machine cycles are going.[/QUOTE]

Just checked. oprofile seems to be installed and presumably working on this computer. Here's the output of ophelp:
[CODE]oprofile: available events for CPU type "AMD64 family10"

CPU_CLK_UNHALTED: (counter: all)
Cycles outside of halt state (min count: 3000)
DISPATCHED_FPU_OPS: (counter: all)
Dispatched FPU ops (min count: 500)
Unit masks (default 0x3f)
----------
0x01: Add pipe ops excluding load ops and SSE move ops
0x02: Multiply pipe ops excluding load ops and SSE move ops
0x04: Store pipe ops excluding load ops and SSE move ops
0x08: Add pipe load ops and SSE move ops
0x10: Multiply pipe load ops and SSE move ops
0x20: Store pipe load ops and SSE move ops
0x3f: all ops
CYCLES_FPU_EMPTY: (counter: all)
The number of cycles in which the PFU is empty (min count: 500)
DISPATCHED_FPU_OPS_FAST_FLAG: (counter: all)
The number of FPU operations that use the fast flag interface (min count: 500)
RETIRED_SSE_OPS: (counter: all)
The number of SSE ops or uops retired (min count: 500)
Unit masks (default 0x7f)
----------
0x01: Single Precision add/subtract ops
0x02: Single precision multiply ops
0x04: Single precision divide/square root ops
0x08: Double precision add/subtract ops
0x10: Double precision multiply ops
0x20: Double precision divide/square root ops
0x40: OP type, 0=uops 1=FLOPS
RETIRED_MOVE_OPS: (counter: all)
The number of move uops retired (min count: 500)
Unit masks (default 0xf)
----------
0x01: Merging low quadword move uops
0x02: Merging high quadword move uops
0x04: All other merging move uops
0x08: All other move uops
RETIRED_SERIALIZING_OPS: (counter: all)
The number of serializing uops retired. (min count: 500)
Unit masks (default 0xf)
----------
0x01: SSE bottom-executing uops retired
0x02: SSE bottom-serializing uops retired
0x04: x87 bottom-executing uops retired
0x08: x87 bottom-serializing uops retired
SERIAL_UOPS_IN_FP_SCHED: (counter: all)
Number of cycles a serializing uop is in the FP scheduler (min count: 500)
Unit masks (default 0x3)
----------
0x01: Number of cycles a bottom-execute uops in FP scheduler
0x02: Number of cycles a bottom-serializing uops in FP scheduler
SEGMENT_REGISTER_LOADS: (counter: all)
Segment register loads (min count: 500)
Unit masks (default 0x7f)
----------
0x01: ES register
0x02: CS register
0x04: SS register
0x08: DS register
0x10: FS register
0x20: GS register
0x40: HS register
PIPELINE_RESTART_DUE_TO_SELF_MODIFYING_CODE: (counter: all)
Micro-architectural re-sync caused by self modifying code (min count: 500)
PIPELINE_RESTART_DUE_TO_PROBE_HIT: (counter: all)
Micro-architectural re-sync caused by snoop (min count: 500)
LS_BUFFER_2_FULL_CYCLES: (counter: all)
Cycles LS Buffer 2 Full (min count: 500)
LOCKED_OPS: (counter: all)
Locked operations (min count: 500)
Unit masks (default 0xf)
----------
0x01: Number of locked instructions executed
0x02: Cycles in speculative phase
0x04: Cycles in non-speculative phase (including cache miss penalty)
0x08: Cache miss penalty in cycles
RETIRED_CLFLUSH: (counter: all)
Retired CLFLUSH instructions (min count: 500)
RETIRED_CPUID: (counter: all)
Retired CPUID instructions (min count: 500)
CANCELLED_STORE_TO_LOAD: (counter: all)
Counts the number of cancelled store to load forward operations (min count: 500)
Unit masks (default 0x7)
----------
0x01: Address mismatches (starting byte not the same)
0x02: Store is smaller than load
0x04: Misaligned
SMIS_RECEIVED: (counter: all)
Counts the number of SMI received (min count: 500)
DATA_CACHE_ACCESSES: (counter: all)
Data cache accesses (min count: 500)
DATA_CACHE_MISSES: (counter: all)
Data cache misses (min count: 500)
DATA_CACHE_REFILLS_FROM_L2_OR_NORTHBRIDGE: (counter: all)
Data cache refills from L2 or northbridge (min count: 500)
Unit masks (default 0x1e)
----------
0x01: Refill from northbridge
0x02: Shared-state line from L2
0x04: Exclusive-state line from L2
0x08: Owner-state line from L2
0x10: Modified-state line from L2
0x1e: All cache states except refill from northbridge
DATA_CACHE_REFILLS_FROM_NORTHBRIDGE: (counter: all)
Data cache refills from northbridge (min count: 500)
Unit masks (default 0x1f)
----------
0x10: (M)odified cache state
0x08: (O)wner cache state
0x04: (E)xclusive cache state
0x02: (S)hared cache state
0x01: (I)nvalid cache state
0x1f: All cache states
DATA_CACHE_LINES_EVICTED: (counter: all)
Data cache lines evicted (min count: 500)
Unit masks (default 0x1f)
----------
0x01: (I)nvalid cache state
0x02: (S)hared cache state
0x04: (E)xclusive cache state
0x08: (O)wner cache state
0x10: (M)odified cache state
0x20: Cache line evict brought by PrefetchNTA
0x40: Cache line evict not brought by PrefetchNTA
0x1f: All cache states except PrefetchNTA
L1_DTLB_MISS_AND_L2_DTLB_HIT: (counter: all)
L1 DTLB misses and L2 DTLB hits (min count: 500)
Unit masks (default 0x3)
----------
0x01: L2 4K TLB hit
0x02: L2 2M TLB hit
L1_DTLB_AND_L2_DTLB_MISS: (counter: all)
L1 and L2 DTLB misses (min count: 500)
Unit masks (default 0x7)
----------
0x01: 4K TLB reload
0x02: 2M TLB reload
0x04: 1G TLB reload
MISALIGNED_ACCESSES: (counter: all)
Misaligned Accesses (min count: 500)
MICRO_ARCH_LATE_CANCEL_ACCESS: (counter: all)
Microarchitectural late cancel of an access (min count: 500)
MICRO_ARCH_EARLY_CANCEL_ACCESS: (counter: all)
Microarchitectural early cancel of an access (min count: 500)
1_BIT_ECC_ERRORS: (counter: all)
Single-bit ECC errors recorded by scrubber (min count: 500)
Unit masks (default 0xf)
----------
0x01: Scrubber error
0x02: Piggyback scrubber errors
0x04: Load pipe error
0x08: Store write pip error
PREFETCH_INSTRUCTIONS_DISPATCHED: (counter: all)
The number of prefetch instructions dispatched by the decoder (min count: 500)
Unit masks (default 0x7)
----------
0x01: Load (Prefetch, PrefetchT0/T1/T2)
0x02: Store (PrefetchW)
0x04: NTA (PrefetchNTA)
LOCKED_INSTRUCTIONS_DCACHE_MISSES: (counter: all)
The number of dta cache misses by locked instructions. (min count: 500)
Unit masks (default 0x2)
----------
0x02: Data cache misses by locked instructions
L1_DTLB_HIT: (counter: all)
L1 DTLB hit (min count: 500)
Unit masks (default 0x7)
----------
0x01: L1 4K TLB hit
0x02: L1 2M TLB hit
0x04: L1 1G TLB hit
INEFFECTIVE_SW_PREFETCHES: (counter: all)
Number of software prefetches that did not fetch data outside of processor core (min count: 500)
Unit masks (default 0x9)
----------
0x01: Hit in L1
0x08: Hit in L2
GLOBAL_TLB_FLUSHES: (counter: all)
The number of global TLB flushes (min count: 500)
MEMORY_REQUESTS: (counter: all)
Memory Requests by Type (min count: 500)
Unit masks (default 0x83)
----------
0x01: Requests to non-cacheable (UC) memory
0x02: Requests to write-combining (WC) memory or WC buffer flushes to WB memory
0x80: Streaming store (SS) requests
DATA_PREFETCHES: (counter: all)
Data Prefetcher (min count: 500)
Unit masks (default 0x3)
----------
0x01: Cancelled prefetches
0x02: Prefetch attempts
NORTHBRIDGE_READ_RESPONSES: (counter: all)
Northbridge Read Responses by Coherency State (min count: 500)
Unit masks (default 0x17)
----------
0x01: Exclusive
0x02: Modified
0x04: Shared
0x10: Data Error
OCTWORD_WRITE_TRANSFERS: (counter: all)
Octwords Written to System (min count: 500)
Unit masks (default 0x1)
----------
0x01: Quadword write transfer
REQUESTS_TO_L2: (counter: all)
Requests to L2 Cache (min count: 500)
Unit masks (default 0x3f)
----------
0x01: IC fill
0x02: DC fill
0x04: TLB fill (page table walks)
0x08: Tag snoop request
0x10: Canceled request
0x20: Hardware prefetch from data cache
L2_CACHE_MISS: (counter: all)
L2 Cache Misses (min count: 500)
Unit masks (default 0xf)
----------
0x01: IC fill
0x02: DC fill (includes possible replays)
0x04: TLB page table walk
0x08: Hardwareprefetch from data cache
L2_CACHE_FILL_WRITEBACK: (counter: all)
L2 Fill/Writeback (min count: 500)
Unit masks (default 0x3)
----------
0x01: L2 fills (victims from L1 caches, TLB page table walks and data prefetches)
0x02: L2 Writebacks to system
INSTRUCTION_CACHE_FETCHES: (counter: all)
Instruction cache fetches (RevE) (min count: 500)
INSTRUCTION_CACHE_MISSES: (counter: all)
Instruction cache misses (min count: 500)
INSTRUCTION_CACHE_REFILLS_FROM_L2: (counter: all)
Instruction Cache Refills from L2 (min count: 500)
INSTRUCTION_CACHE_REFILLS_FROM_SYSTEM: (counter: all)
Instruction Cache Refills from System (min count: 500)
L1_ITLB_MISS_AND_L2_ITLB_HIT: (counter: all)
L1 ITLB misses (and L2 ITLB hits) (min count: 500)
L1_ITLB_MISS_AND_L2_ITLB_MISS: (counter: all)
L1 ITLB Miss, L2 ITLB Miss (min count: 500)
Unit masks (default 0x3)
----------
0x01: Instruction fetches to 4K pages
0x02: Instruction fetches to 2M pages
PIPELINE_RESTART_DUE_TO_INSTRUCTION_STREAM_PROBE: (counter: all)
Pipeline Restart Due to Instruction Stream Probe (min count: 500)
INSTRUCTION_FETCH_STALL: (counter: all)
Instruction fetch stall (min count: 500)
RETURN_STACK_HITS: (counter: all)
Return stack hit (min count: 500)
RETURN_STACK_OVERFLOWS: (counter: all)
Return stack overflow (min count: 500)
INSTRUCTION_CACHE_VICTIMS: (counter: all)
Number of instruction cachelines evicticed to L2 (min count: 500)
INSTRUCTION_CHCHE_INVALIDATED: (counter: all)
Instruction cache lines invalidated (min count: 500)
Unit masks (default 0xf)
----------
0x01: Invalidating probe that did not hit any in-flight instructions
0x02: Invalidating probe that hit one or more in-flight instructions
0x04: SMC that did not hit any in-flight instructions
0x08: SMC that hit one or more in-flight instructions
ITLB_RELOADS: (counter: all)
The number of ITLB reloads requests (min count: 500)
ITLB_RELOADS_ABORTED: (counter: all)
The number of ITLB reloads aborted (min count: 500)
RETIRED_INSTRUCTIONS: (counter: all)
Retired instructions (includes exceptions, interrupts, re-syncs) (min count: 3000)
RETIRED_UOPS: (counter: all)
Retired micro-ops (min count: 500)
RETIRED_BRANCH_INSTRUCTIONS: (counter: all)
Retired branches (conditional, unconditional, exceptions, interrupts) (min count: 500)
RETIRED_MISPREDICTED_BRANCH_INSTRUCTIONS: (counter: all)
Retired Mispredicted Branch Instructions (min count: 500)
RETIRED_TAKEN_BRANCH_INSTRUCTIONS: (counter: all)
Retired taken branch instructions (min count: 500)
RETIRED_TAKEN_BRANCH_INSTRUCTIONS_MISPREDICTED: (counter: all)
Retired taken branches mispredicted (min count: 500)
RETIRED_FAR_CONTROL_TRANSFERS: (counter: all)
Retired far control transfers (min count: 500)
RETIRED_BRANCH_RESYNCS: (counter: all)
Retired branches resyncs (only non-control transfer branches) (min count: 500)
RETIRED_NEAR_RETURNS: (counter: all)
Retired near returns (min count: 500)
RETIRED_NEAR_RETURNS_MISPREDICTED: (counter: all)
Retired near returns mispredicted (min count: 500)
RETIRED_INDIRECT_BRANCHES_MISPREDICTED: (counter: all)
Retired Indirect Branches Mispredicted (min count: 500)
RETIRED_MMX_FP_INSTRUCTIONS: (counter: all)
Retired MMX/FP instructions (min count: 500)
Unit masks (default 0x7)
----------
0x01: x87 instructions
0x02: MMX & 3DNow instructions
0x04: SSE & SSE2 instructions
RETIRED_FASTPATH_DOUBLE_OP_INSTRUCTIONS: (counter: all)
Retired FastPath double-op instructions (min count: 500)
Unit masks (default 0x7)
----------
0x01: With low op in position 0
0x02: With low op in position 1
0x04: With low op in position 2
INTERRUPTS_MASKED_CYCLES: (counter: all)
Cycles with interrupts masked (IF=0) (min count: 500)
INTERRUPTS_MASKED_CYCLES_WITH_INTERRUPT_PENDING: (counter: all)
Cycles with interrupts masked while interrupt pending (min count: 500)
INTERRUPTS_TAKEN: (counter: all)
Number of taken hardware interrupts (min count: 10)
DECODER_EMPTY: (counter: all)
Nothing to dispatch (decoder empty) (min count: 500)
DISPATCH_STALLS: (counter: all)
Dispatch stalls (min count: 500)
DISPATCH_STALL_FOR_BRANCH_ABORT: (counter: all)
Dispatch stall from branch abort to retire (min count: 500)
DISPATCH_STALL_FOR_SERIALIZATION: (counter: all)
Dispatch stall for serialization (min count: 500)
DISPATCH_STALL_FOR_SEGMENT_LOAD: (counter: all)
Dispatch stall for segment load (min count: 500)
DISPATCH_STALL_FOR_REORDER_BUFFER_FULL: (counter: all)
Dispatch stall for reorder buffer full (min count: 500)
DISPATCH_STALL_FOR_RESERVATION_STATION_FULL: (counter: all)
Dispatch stall when reservation stations are full (min count: 500)
DISPATCH_STALL_FOR_FPU_FULL: (counter: all)
Dispatch stall when FPU is full (min count: 500)
DISPATCH_STALL_FOR_LS_FULL: (counter: all)
Dispatch stall when LS is full (min count: 500)
DISPATCH_STALL_WAITING_FOR_ALL_QUIET: (counter: all)
Dispatch stall when waiting for all to be quiet (min count: 500)
DISPATCH_STALL_FOR_FAR_TRANSFER_OR_RESYNC: (counter: all)
Dispatch Stall for Far Transfer or Resync to Retire (min count: 500)
FPU_EXCEPTIONS: (counter: all)
FPU exceptions (min count: 1)
Unit masks (default 0xf)
----------
0x01: x87 reclass microfaults
0x02: SSE retype microfaults
0x04: SSE reclass microfaults
0x08: SSE and x87 microtraps
DR0_BREAKPOINTS: (counter: all)
The number of matches on the address in breakpoint register DR0 (min count: 1)
DR1_BREAKPOINTS: (counter: all)
The number of matches on the address in breakpoint register DR1 (min count: 1)
DR2_BREAKPOINTS: (counter: all)
The number of matches on the address in breakpoint register DR2 (min count: 1)
DR3_BREAKPOINTS: (counter: all)
The number of matches on the address in breakpoint register DR3 (min count: 1)
DRAM_ACCESSES: (counter: all)
DRAM Accesses (min count: 500)
Unit masks (default 0xff)
----------
0x01: DCT0 Page hit
0x02: DCT0 Page miss
0x04: DCT0 Page conflict
0x08: DCT1 Page hit
0x10: DCT1 Page miss
0x20: DCT1 Page Conflict
0x40: Write request
0x80: Read request
MEMORY_CONTROLLER_PAGE_TABLE_OVERFLOWS: (counter: all)
Memory controller page table overflows (min count: 500)
Unit masks (default 0x3)
----------
0x01: DCT0 Page Table Overflow
0x02: DCT1 Page Table Overflow
MEMORY_CONTROLLER_SLOT_MISSED: (counter: all)
Memory controller DRAM command slots missed (min count: 500)
Unit masks (default 0x3)
----------
0x01: DCT0 Command slots missed
0x02: DCT2 Command slots missed
MEMORY_CONTROLLER_TURNAROUNDS: (counter: all)
Memory controller turnarounds (min count: 500)
Unit masks (default 0x3f)
----------
0x01: DCT0 DIMM (chip select) turnaround
0x02: DCT0 Read to write turnaround
0x04: DCT0 Write to read turnaround
0x08: DCT1 DIMM (chip select) turnaround
0x10: DCT1 Read to write turnaround
0x20: DCT1 Write to read turnaround
MEMORY_CONTROLLER_BYPASS_COUNTER_SATURATION: (counter: all)
Memory controller bypass saturation (min count: 500)
Unit masks (default 0xf)
----------
0x01: Memory controller high priority bypass
0x02: Memory controller medium priority bypass
0x04: DCT0 DCQ bypass
0x08: DCT1 DCQ bypass
THERMAL_STATUS: (counter: all)
Thermal status (min count: 500)
Unit masks (default 0x7c)
----------
0x04: Number of times the HTC trip point is crossed
0x08: Number of clocks when STC trip point active
0x10: Number of times the STC trip point is crossed
0x20: Number of clocks HTC P-state is inactive
0x40: Number of clocks HTC P-state is active
CPU_IO_REQUESTS_TO_MEMORY_IO: (counter: all)
CPU/IO Requests to Memory/IO (RevE) (min count: 500)
Unit masks (default 0x8)
----------
0x01: IO to IO
0x04: IO to Mem
0x08: CPU to IO
0x10: To remote node
0x20: To local node
0x40: From remote node
0x80: From local node
CACHE_BLOCK_COMMANDS: (counter: all)
Cache Block Commands (RevE) (min count: 500)
Unit masks (default 0x3d)
----------
0x01: Victim Block (Writeback)
0x04: Read Block (Dcache load miss refill)
0x08: Read Block Shared (Icache refill)
0x10: Read Block Modified (Dcache store miss refill)
0x20: Change to Dirty (first store to clean block already in cache)
SIZED_COMMANDS: (counter: all)
Sized Commands (min count: 500)
Unit masks (default 0x3f)
----------
0x01: non-posted write byte (1-32 bytes)
0x02: non-posted write dword (1-16 dwords)
0x04: posted write byte (1-32 bytes)
0x08: posted write dword (1-16 dwords)
0x10: read byte (4 bytes)
0x20: read dword (1-16 dwords)
PROBE_RESPONSES_AND_UPSTREAM_REQUESTS: (counter: all)
Probe Responses and Upstream Requests (min count: 500)
Unit masks (default 0xff)
----------
0x01: Probe miss
0x02: Probe hit clean
0x04: Probe hit dirty without memory cancel
0x08: Probe hit dirty with memory cancel
0x10: Upstream display refresh/ISOC reads
0x20: Upstream non-display refresh reads
0x40: Upstream ISOC writes
0x80: Upstream non-ISOC writes
GART_EVENTS: (counter: all)
GART Events (min count: 500)
Unit masks (default 0xff)
----------
0x01: GART aperture hit on access from CPU
0x02: GART aperture hit on access from I/O
0x04: GART miss
0x08: GART/DEV Request hit table walk in progress
0x10: DEV hit
0x20: DEV miss
0x40: DEV error
0x80: GART/DEV multiple table walk in progress
MEMORY_CONTROLLER_REQUESTS: (counter: all)
Sized Read/Write activity. (min count: 500)
Unit masks (default 0x78)
----------
0x01: Write requests
0x02: Read Requests including Prefetch
0x04: Prefetch Request
0x08: 32 Bytes Sized Writes
0x10: 64 Bytes Sized Writes
0x20: 32 Bytes Sized Reads
0x40: 64 Byte Sized Reads
0x80: Read Requests while writes pending in DCQ
CPU_DRAM_REQUEST_TO_NODE: (counter: all)
CPU to DRAM requests to target node (min count: 500)
Unit masks (default 0xff)
----------
0x01: From local node to node 0
0x02: From local node to node 1
0x04: From local node to node 2
0x08: From local node to node 3
0x10: From local node to node 4
0x20: From local node to node 5
0x40: From local node to node 6
0x80: From local node to node 7
IO_DRAM_REQUEST_TO_NODE: (counter: all)
IO to DRAM requests to target node (min count: 500)
Unit masks (default 0xff)
----------
0x01: From local node to node 0
0x02: From local node to node 1
0x04: From local node to node 2
0x08: From local node to node 3
0x10: From local node to node 4
0x20: From local node to node 5
0x40: From local node to node 6
0x80: From local node to node 7
CPU_READ_COMMAND_LATENCY_NODE_0_3: (counter: all)
Latency between the local node and remote node (min count: 500)
Unit masks (default 0xff)
----------
0x01: Read block
0x02: Read block shared
0x04: Read block modified
0x08: Change to dirty
0x10: From local node to node 0
0x20: From local node to node 1
0x40: From local node to node 2
0x80: From local node to node 3
CPU_READ_COMMAND_REQUEST_NODE_0_3: (counter: all)
Number of requests that a latency measurment is made for Event 0x1E2 (min count: 500)
Unit masks (default 0xff)
----------
0x01: Read block
0x02: Read block shared
0x04: Read block modified
0x08: Change to dirty
0x10: From local node to node 0
0x20: From local node to node 1
0x40: From local node to node 2
0x80: From local node to node 3
CPU_READ_COMMAND_LATENCY_NODE_4_7: (counter: all)
Latency between the local node and remote node (min count: 500)
Unit masks (default 0xff)
----------
0x01: Read block
0x02: Read block shared
0x04: Read block modified
0x08: Change to dirty
0x10: From local node to node 4
0x20: From local node to node 5
0x40: From local node to node 6
0x80: From local node to node 7
CPU_READ_COMMAND_REQUEST_NODE_4_7: (counter: all)
Number of requests that a latency measurment is made for Event 0x1E2 (min count: 500)
Unit masks (default 0xff)
----------
0x01: Read block
0x02: Read block shared
0x04: Read block modified
0x08: Change to dirty
0x10: From local node to node 4
0x20: From local node to node 5
0x40: From local node to node 6
0x80: From local node to node 7
CPU_COMMAND_LATENCY_TARGET: (counter: all)
Determine latency between the local node and a remote node. (min count: 500)
Unit masks (default 0xf7)
----------
0x01: Read sized
0x02: Write sized
0x04: Victim block
0x08: Node group select. 0=Nodes 0-3. 1=Nodes 4-7
0x10: From local node to node 0/4
0x20: From local node to node 1/5
0x40: From local node to node 2/6
0x80: From local node to node 3/7
CPU_REQUEST_TARGET: (counter: all)
Number of requests that a latency measurement is made for Event 0x1E6 (min count: 500)
Unit masks (default 0xf7)
----------
0x01: Read sized
0x02: Write sized
0x04: Victim block
0x08: Node group select. 0=Nodes 0-3. 1=Nodes 4-7
0x10: From local node to node 0/4
0x20: From local node to node 1/5
0x40: From local node to node 2/6
0x80: From local node to node 3/7
HYPERTRANSPORT_LINK0_TRANSMIT_BANDWIDTH: (counter: all)
HyperTransport(tm) link 0 transmit bandwidth (min count: 500)
Unit masks (default 0xbf)
----------
0x01: Command DWORD sent
0x02: DWORD sent
0x04: Buffer release DWORD sent
0x08: Nop DW sent (idle)
0x10: Address extension DWORD sent
0x20: Per packet CRC sent
0x80: SubLink Mask
HYPERTRANSPORT_LINK1_TRANSMIT_BANDWIDTH: (counter: all)
HyperTransport(tm) link 1 transmit bandwidth (min count: 500)
Unit masks (default 0xbf)
----------
0x01: Command DWORD sent
0x02: DWORD sent
0x04: Buffer release DWORD sent
0x08: Nop DW sent (idle)
0x10: Address extension DWORD sent
0x20: Per packet CRC sent
0x80: SubLink Mask
HYPERTRANSPORT_LINK2_TRANSMIT_BANDWIDTH: (counter: all)
HyperTransport(tm) link 2 transmit bandwidth (min count: 500)
Unit masks (default 0xbf)
----------
0x01: Command DWORD sent
0x02: DWORD sent
0x04: Buffer release DWORD sent
0x08: Nop DW sent (idle)
0x10: Address extension DWORD sent
0x20: Per packet CRC sent
0x80: SubLink Mask
HYPERTRANSPORT_LINK3_TRANSMIT_BANDWIDTH: (counter: all)
HyperTransport(tm) link 3 transmit bandwidth (min count: 500)
Unit masks (default 0xbf)
----------
0x01: Command DWORD sent
0x02: DWORD sent
0x04: Buffer release DWORD sent
0x08: Nop DW sent (idle)
0x10: Address extension DWORD sent
0x20: Per packet CRC sent
0x80: SubLink Mask
READ_REQUEST_L3_CACHE: (counter: all)
Tracks the red requests from each core to L3 cache (min count: 500)
Unit masks (default 0xf7)
----------
0x01: Read Block Exclusive (Data cache read)
0x02: Read Block Shared (Instruciton cache read)
0x04: Read Block Modify
0x10: Core 0 Select
0x20: Core 1 Select
0x40: Core 2 Select
0x80: Core 3 Select
L3_CACHE_MISSES: (counter: all)
Tracks the L3 cache misses from each core (min count: 500)
Unit masks (default 0xf7)
----------
0x01: Read Block Exclusive (Data cache read)
0x02: Read Block Shared (Instruciton cache read)
0x04: Read Block Modify
0x10: Core 0 Select
0x20: Core 1 Select
0x40: Core 2 Select
0x80: Core 3 Select
L3_FILLS_CAUSED_BY_L2_EVICTIONS: (counter: all)
Tracks the L3 fills caused by L2 evictions per core (min count: 500)
Unit masks (default 0xff)
----------
0x01: Shared
0x02: Exclusive
0x04: Owned
0x08: Modified
0x10: Core 0 Select
0x20: Core 1 Select
0x40: Core 2 Select
0x80: Core 3 Select
L3_EVICTIONS: (counter: all)
Tracks the state of the L3 line when it was evicted (min count: 500)
Unit masks (default 0xf)
----------
0x01: Shared
0x02: Exclusive
0x04: Owned
0x08: Modified
[/CODE]

Greg

[QUOTE=xilman;136240]True, if you have sufficient memory. If the machine is memory bound, one LA and N-1 sievers will spend so much time thrashing that it's better to get the LA out of the way ASAP.
Paul[/QUOTE]
This computer is a cog in a larger network. Through NFSNet and the Condor network Bruce has access to, we have lots of sieving cycles. We need to get the LA out of the way quickly to keep up. Although it would increase throughput, there is definitely insufficient memory to run 1 thread of LA on each core.

Greg

[QUOTE=frmky;136245]Just checked. oprofile seems to be installed and presumably working on this computer. Here's the output of ophelp:
[/QUOTE]
That's a rather huge number of performance events to monitor. I'll have to get back to you on how to use them.

Regarding the NUMA stats, it looks like there's been a lot of mixing things due to previous jobs. Maybe the counters can be zeroed first...

[QUOTE=jasonp;136301]Maybe the counters can be zeroed first...[/QUOTE]

Googling didn't reveal a way to do that, other than rebooting the computer. Perhaps looking at the differences from yesterday? Here are the stats from today. Since yesterday, the large run on nodes 0 and 1 simply continued. I restarted the run on nodes 2 and 3 to use 8 threads instead of 7. ECM and PFGW in Wine have been running on nodes 4-7.

[CODE] node0 node1 node2 node3 node4 node5 node6 node7
numa_hit 276846730 110012018 117206662 269579970 1138760079 1140979275 1121827928 1170021262
numa_miss 16635435 606023602 511580197 298322163 93107362 29327083 24241671 152533229
numa_foreign 1392825242 39423820 29192402 19473609 53407859 64046284 91550068 41851458
interleave_hit 12216 18867 15296 16494 22148 18429 19921 18818
local_node 276651789 109620572 116936346 269238614 1138359298 1140585367 1121470224 1169540179
other_node 16830376 606415048 511850513 298663519 93508143 29720991 24599375 153014312
[/CODE]

So the differences between today and yesterday are

[CODE] node0 node1 node2 node3 node4 node5 node6 node7
numa_hit 1847954 3219836 4013250 1835410 171617099 167600790 150479830 167580906
numa_miss 0 0 0 313151 1490308 0 0 0
numa_foreign 0 0 368300 1435159 0 0 0 0
interleave_hit 961 1394 1499 69 1819 1186 1342 1247
local_node 1821686 3198644 3992089 1826253 171594753 167583260 150460597 167559809
other_node 26268 21192 21161 322308 1512654 17530 19233 21097
[/CODE]

Greg

Three of the top 10 most wanted fall in the same day!

[URL]http://www.mersenneforum.org/showpost.php?p=136583&postcount=27[/URL]
[URL]http://www.mersenneforum.org/showpost.php?p=136569&postcount=31[/URL]
[URL]http://www.mersenneforum.org/showpost.php?p=136597&postcount=62[/URL]

Only one is left, that I can see: 10,232+ (C160). Anyone have sights on that?

- ben.

[QUOTE=bsquared;136605]Three of the top 10 most wanted fall in the same day!

[URL]http://www.mersenneforum.org/showpost.php?p=136583&postcount=27[/URL]
[URL]http://www.mersenneforum.org/showpost.php?p=136569&postcount=31[/URL]
[URL]http://www.mersenneforum.org/showpost.php?p=136597&postcount=62[/URL]

Only one is left, that I can see: 10,232+ (C160). Anyone have sights on that?

- ben.[/QUOTE]

Irvine already did it! #5606 on page 108

[quote=R.D. Silverman;136606]Irvine already did it! #5606 on page 108[/quote]

Sure enough, I missed that. Thanks!

[QUOTE=bsquared;136605]Three of the top 10 most wanted fall in the same day!

[URL]http://www.mersenneforum.org/showpost.php?p=136583&postcount=27[/URL]
[URL]http://www.mersenneforum.org/showpost.php?p=136569&postcount=31[/URL]
[URL]http://www.mersenneforum.org/showpost.php?p=136597&postcount=62[/URL]

Only one is left, that I can see: 10,232+ (C160). Anyone have sights on that?

- ben.[/QUOTE]

This was very nice work.

It's been a while since we heard from Bruce. IIRC, he said that the LA
for 10,257+ should have been finished about a week ago.... An
update would be nice.

I am about 30% of the way through sieving 2,1538M. The LA for 2,1104+
will be done early next week. (but I am on vacation all week). I then
plan on doing 3,517+ followed by 5,341- before returning to the base 2
tables. MY CPU resources are not large.

[QUOTE=R.D. Silverman;136651]IIRC, he said that the LA
for 10,257+ should have been finished about a week ago.... An
update would be nice.[/QUOTE]

The LA will be done any moment now (or has failed). It's currently a bit over 100% done. Also, 10,241- should be done this weekend.
Greg

[QUOTE=frmky;136691]The LA will be done any moment now (or has failed). It's currently a bit over 100% done. Also, 10,241- should be done this weekend.
Greg[/QUOTE]

I expect that it failed. >100% usually means something went wrong......

[QUOTE=frmky;132390]I try to keep the NFSNet page on Mersenne Wiki [URL="http://www.mersennewiki.org/index.php/NFSNET"]http://www.mersennewiki.org/index.php/NFSNET[/URL] reasonably up to date.

Greg[/QUOTE]

Looks like this page is nearly up to 2000 views. Perhaps we could view
the Childers/Dodson (and Childers) project as an annex of NFSNET" (if
Richard doesn't mind), and add a link & page for those factors. Also,
the last I looked, "recent results" seemed clear; dating from when you
started applying the 64-bit ggnfs lasieve. It's now been a while, and
I'm wondering whether an occasional date [start, middle, just_done]
would add some additional clarity? -Bruce

[QUOTE=bdodson;136768]Perhaps we could view the Childers/Dodson (and Childers) project as an annex of NFSNET" (if Richard doesn't mind), and add a link & page for those factors.[/QUOTE]

My mother often said "Richard doesn't mind". Is that the same thing?


(I certainly have no objection. Childers & Dodson are, after all, principal contributors to the NFSNet effort and I would hope that we can make some progress on the unification of the sieving efforts so that we can have an effective collaboration on additional difficult factorizations.

10,241- is done. :smile:

Greg

[CODE]Mon Jun 16 22:31:00 2008 Msieve v. 1.36
Mon Jun 16 22:31:00 2008 random seeds: aa4894da 92df2cbb
Mon Jun 16 22:31:00 2008 factoring 8818494710724135843992143485822092387241346180661731882584652814791399260404212300220860100310211000039811546760342771415871328563704658755540522813656456530773991725065170759876875165438074252973593473504031270181916247141124747 (229 digits)
Mon Jun 16 22:31:03 2008 no P-1/P+1/ECM available, skipping
Mon Jun 16 22:31:03 2008 commencing number field sieve (229-digit input)
Mon Jun 16 22:31:03 2008 R0: -1
Mon Jun 16 22:31:03 2008 R1: 10000000000000000000000000000000000000000
Mon Jun 16 22:31:03 2008 A0: -10
Mon Jun 16 22:31:03 2008 A1: 0
Mon Jun 16 22:31:03 2008 A2: 0
Mon Jun 16 22:31:03 2008 A3: 0
Mon Jun 16 22:31:03 2008 A4: 0
Mon Jun 16 22:31:03 2008 A5: 0
Mon Jun 16 22:31:03 2008 A6: 1
Mon Jun 16 22:31:03 2008 size score = 1.313169e-11, Murphy alpha = 1.181381, combined = 9.369794e-12
Mon Jun 16 22:31:39 2008 restarting with 97929914 relations
Mon Jun 16 22:31:43 2008 added 45949 free relations
Mon Jun 16 22:31:43 2008
Mon Jun 16 22:31:43 2008 commencing relation filtering
Mon Jun 16 22:31:43 2008 commencing duplicate removal, pass 1
Mon Jun 16 22:31:52 2008 error -6 reading relation 880510
Mon Jun 16 22:34:02 2008 error -6 reading relation 13109615
Mon Jun 16 22:35:10 2008 error -11 reading relation 19525260
Mon Jun 16 22:35:20 2008 error -11 reading relation 20512344
Mon Jun 16 22:36:04 2008 error -11 reading relation 24635009
Mon Jun 16 22:36:25 2008 error -6 reading relation 26588266
Mon Jun 16 22:37:41 2008 error -11 reading relation 33653644
Mon Jun 16 22:37:44 2008 error -11 reading relation 33862225
Mon Jun 16 22:38:12 2008 error -1 reading relation 36520963
Mon Jun 16 22:38:15 2008 error -11 reading relation 36836043
Mon Jun 16 22:44:39 2008 error -11 reading relation 72680039
Mon Jun 16 22:45:18 2008 error -11 reading relation 76332294
Mon Jun 16 22:45:31 2008 error -11 reading relation 77483888
Mon Jun 16 22:46:47 2008 error -15 reading relation 85601243
Mon Jun 16 22:48:43 2008 found 14219176 hash collisions in 97975849 relations
Mon Jun 16 22:48:43 2008 commencing duplicate removal, pass 2
Mon Jun 16 22:51:57 2008 found 1 duplicates and 97975848 unique relations
Mon Jun 16 22:51:57 2008 memory use: 504.8 MB
Mon Jun 16 22:52:24 2008 ignoring smallest 3001346 rational and 2999594 algebraic ideals
Mon Jun 16 22:52:24 2008 filtering rational ideals above 50003968
Mon Jun 16 22:52:24 2008 filtering algebraic ideals above 50003968
Mon Jun 16 22:52:24 2008 need 9001410 more relations than ideals
Mon Jun 16 22:52:24 2008 commencing singleton removal, pass 1
Mon Jun 16 23:11:05 2008 relations with 0 large ideals: 518306
Mon Jun 16 23:11:05 2008 relations with 1 large ideals: 4126663
Mon Jun 16 23:11:05 2008 relations with 2 large ideals: 15218709
Mon Jun 16 23:11:05 2008 relations with 3 large ideals: 30384139
Mon Jun 16 23:11:05 2008 relations with 4 large ideals: 32296130
Mon Jun 16 23:11:05 2008 relations with 5 large ideals: 15431901
Mon Jun 16 23:11:05 2008 relations with 6 large ideals: 0
Mon Jun 16 23:11:05 2008 relations with 7+ large ideals: 0
Mon Jun 16 23:11:05 2008 97975848 relations and about 63391368 large ideals
Mon Jun 16 23:11:05 2008 commencing singleton removal, pass 2
Mon Jun 16 23:29:45 2008 found 13855465 singletons
Mon Jun 16 23:29:45 2008 current dataset: 84120383 relations and about 48722676 large ideals
Mon Jun 16 23:29:45 2008 commencing singleton removal, pass 3
Mon Jun 16 23:46:02 2008 relations with 0 large ideals: 518306
Mon Jun 16 23:46:02 2008 relations with 1 large ideals: 3953220
Mon Jun 16 23:46:02 2008 relations with 2 large ideals: 13931311
Mon Jun 16 23:46:02 2008 relations with 3 large ideals: 26563585
Mon Jun 16 23:46:02 2008 relations with 4 large ideals: 26906265
Mon Jun 16 23:46:02 2008 relations with 5 large ideals: 12247696
Mon Jun 16 23:46:02 2008 relations with 6 large ideals: 0
Mon Jun 16 23:46:02 2008 relations with 7+ large ideals: 0
Mon Jun 16 23:46:02 2008 84120383 relations and about 61219940 large ideals
Mon Jun 16 23:46:02 2008 commencing singleton removal, pass 4
Tue Jun 17 00:02:19 2008 found 11588380 singletons
Tue Jun 17 00:02:19 2008 current dataset: 72532003 relations and about 48969086 large ideals
Tue Jun 17 00:02:19 2008 commencing singleton removal, pass 5
Tue Jun 17 00:16:25 2008 found 2178461 singletons
Tue Jun 17 00:16:25 2008 current dataset: 70353542 relations and about 46762931 large ideals
Tue Jun 17 00:16:25 2008 commencing singleton removal, pass 6
Tue Jun 17 00:30:07 2008 found 363225 singletons
Tue Jun 17 00:30:07 2008 current dataset: 69990317 relations and about 46398844 large ideals
Tue Jun 17 00:30:07 2008 commencing singleton removal, final pass
Tue Jun 17 00:49:55 2008 memory use: 1404.4 MB
Tue Jun 17 00:49:55 2008 commencing in-memory singleton removal
Tue Jun 17 00:50:10 2008 begin with 69990317 relations and 54046835 unique ideals
Tue Jun 17 00:54:34 2008 reduce to 63643114 relations and 47568829 ideals in 15 passes
Tue Jun 17 00:54:34 2008 max relations containing the same ideal: 34
Tue Jun 17 00:55:58 2008 removing 2892106 relations and 2492106 ideals in 400000 cliques
Tue Jun 17 00:56:01 2008 commencing in-memory singleton removal
Tue Jun 17 00:56:14 2008 begin with 60751008 relations and 47568829 unique ideals
Tue Jun 17 00:58:06 2008 reduce to 60685119 relations and 45010316 ideals in 7 passes
Tue Jun 17 00:58:06 2008 max relations containing the same ideal: 33
Tue Jun 17 00:59:20 2008 removing 2160260 relations and 1760260 ideals in 400000 cliques
Tue Jun 17 00:59:23 2008 commencing in-memory singleton removal
Tue Jun 17 00:59:35 2008 begin with 58524859 relations and 45010316 unique ideals
Tue Jun 17 01:01:08 2008 reduce to 58483516 relations and 43208434 ideals in 6 passes
Tue Jun 17 01:01:08 2008 max relations containing the same ideal: 33
Tue Jun 17 01:02:18 2008 removing 1925286 relations and 1525286 ideals in 400000 cliques
Tue Jun 17 01:02:21 2008 commencing in-memory singleton removal
Tue Jun 17 01:02:32 2008 begin with 56558230 relations and 43208434 unique ideals
Tue Jun 17 01:04:01 2008 reduce to 56523693 relations and 41648415 ideals in 6 passes
Tue Jun 17 01:04:01 2008 max relations containing the same ideal: 33
Tue Jun 17 01:05:09 2008 removing 1781936 relations and 1381936 ideals in 400000 cliques
Tue Jun 17 01:05:11 2008 commencing in-memory singleton removal
Tue Jun 17 01:05:22 2008 begin with 54741757 relations and 41648415 unique ideals
Tue Jun 17 01:06:48 2008 reduce to 54710002 relations and 40234540 ideals in 6 passes
Tue Jun 17 01:06:48 2008 max relations containing the same ideal: 32
Tue Jun 17 01:07:53 2008 removing 1690120 relations and 1290120 ideals in 400000 cliques
Tue Jun 17 01:07:56 2008 commencing in-memory singleton removal
Tue Jun 17 01:08:07 2008 begin with 53019882 relations and 40234540 unique ideals
Tue Jun 17 01:09:16 2008 reduce to 52989977 relations and 38914344 ideals in 5 passes
Tue Jun 17 01:09:16 2008 max relations containing the same ideal: 31
Tue Jun 17 01:10:18 2008 removing 1618411 relations and 1218411 ideals in 400000 cliques
Tue Jun 17 01:10:20 2008 commencing in-memory singleton removal
Tue Jun 17 01:10:31 2008 begin with 51371566 relations and 38914344 unique ideals
Tue Jun 17 01:11:38 2008 reduce to 51343933 relations and 37668121 ideals in 5 passes
Tue Jun 17 01:11:38 2008 max relations containing the same ideal: 31
Tue Jun 17 01:12:38 2008 removing 1564464 relations and 1164464 ideals in 400000 cliques
Tue Jun 17 01:12:40 2008 commencing in-memory singleton removal
Tue Jun 17 01:12:51 2008 begin with 49779469 relations and 37668121 unique ideals
Tue Jun 17 01:14:07 2008 reduce to 49752272 relations and 36476291 ideals in 6 passes
Tue Jun 17 01:14:07 2008 max relations containing the same ideal: 31
Tue Jun 17 01:15:05 2008 removing 1523096 relations and 1123096 ideals in 400000 cliques
Tue Jun 17 01:15:08 2008 commencing in-memory singleton removal
Tue Jun 17 01:15:17 2008 begin with 48229176 relations and 36476291 unique ideals
Tue Jun 17 01:16:31 2008 reduce to 48202203 relations and 35326024 ideals in 6 passes
Tue Jun 17 01:16:31 2008 max relations containing the same ideal: 29
Tue Jun 17 01:17:28 2008 removing 1470493 relations and 1070493 ideals in 400000 cliques
Tue Jun 17 01:17:30 2008 commencing in-memory singleton removal
Tue Jun 17 01:17:39 2008 begin with 46731710 relations and 35326024 unique ideals
Tue Jun 17 01:18:51 2008 reduce to 46702329 relations and 34225927 ideals in 6 passes
Tue Jun 17 01:18:51 2008 max relations containing the same ideal: 28
Tue Jun 17 01:19:45 2008 removing 1447250 relations and 1047250 ideals in 400000 cliques
Tue Jun 17 01:19:47 2008 commencing in-memory singleton removal
Tue Jun 17 01:19:56 2008 begin with 45255079 relations and 34225927 unique ideals
Tue Jun 17 01:21:05 2008 reduce to 45229049 relations and 33152453 ideals in 6 passes
Tue Jun 17 01:21:05 2008 max relations containing the same ideal: 28
Tue Jun 17 01:21:58 2008 removing 1415640 relations and 1015640 ideals in 400000 cliques
Tue Jun 17 01:22:00 2008 commencing in-memory singleton removal
Tue Jun 17 01:22:09 2008 begin with 43813409 relations and 33152453 unique ideals
Tue Jun 17 01:23:04 2008 reduce to 43785927 relations and 32109090 ideals in 5 passes
Tue Jun 17 01:23:04 2008 max relations containing the same ideal: 27
Tue Jun 17 01:23:55 2008 removing 1390505 relations and 990505 ideals in 400000 cliques
Tue Jun 17 01:23:57 2008 commencing in-memory singleton removal
Tue Jun 17 01:24:05 2008 begin with 42395422 relations and 32109090 unique ideals
Tue Jun 17 01:24:58 2008 reduce to 42366364 relations and 31089270 ideals in 5 passes
Tue Jun 17 01:24:58 2008 max relations containing the same ideal: 26
Tue Jun 17 01:25:47 2008 removing 1383139 relations and 983139 ideals in 400000 cliques
Tue Jun 17 01:25:49 2008 commencing in-memory singleton removal
Tue Jun 17 01:25:57 2008 begin with 40983225 relations and 31089270 unique ideals
Tue Jun 17 01:26:48 2008 reduce to 40955082 relations and 30077759 ideals in 5 passes
Tue Jun 17 01:26:48 2008 max relations containing the same ideal: 26
Tue Jun 17 01:27:35 2008 removing 1355153 relations and 955153 ideals in 400000 cliques
Tue Jun 17 01:27:37 2008 commencing in-memory singleton removal
Tue Jun 17 01:27:45 2008 begin with 39599929 relations and 30077759 unique ideals
Tue Jun 17 01:28:34 2008 reduce to 39569718 relations and 29092132 ideals in 5 passes
Tue Jun 17 01:28:34 2008 max relations containing the same ideal: 26
Tue Jun 17 01:29:20 2008 removing 1351342 relations and 951342 ideals in 400000 cliques
Tue Jun 17 01:29:21 2008 commencing in-memory singleton removal
Tue Jun 17 01:29:29 2008 begin with 38218376 relations and 29092132 unique ideals
Tue Jun 17 01:30:16 2008 reduce to 38187806 relations and 28109919 ideals in 5 passes
Tue Jun 17 01:30:16 2008 max relations containing the same ideal: 26
Tue Jun 17 01:31:00 2008 removing 1332230 relations and 932230 ideals in 400000 cliques
Tue Jun 17 01:31:02 2008 commencing in-memory singleton removal
Tue Jun 17 01:31:09 2008 begin with 36855576 relations and 28109919 unique ideals
Tue Jun 17 01:31:54 2008 reduce to 36823946 relations and 27145683 ideals in 5 passes
Tue Jun 17 01:31:54 2008 max relations containing the same ideal: 25
Tue Jun 17 01:32:36 2008 removing 1321420 relations and 921420 ideals in 400000 cliques
Tue Jun 17 01:32:38 2008 commencing in-memory singleton removal
Tue Jun 17 01:32:45 2008 begin with 35502526 relations and 27145683 unique ideals
Tue Jun 17 01:33:28 2008 reduce to 35468788 relations and 26190157 ideals in 5 passes
Tue Jun 17 01:33:28 2008 max relations containing the same ideal: 24
Tue Jun 17 01:34:09 2008 removing 963021 relations and 685801 ideals in 277220 cliques
Tue Jun 17 01:34:10 2008 commencing in-memory singleton removal
Tue Jun 17 01:34:17 2008 begin with 34505767 relations and 26190157 unique ideals
Tue Jun 17 01:34:59 2008 reduce to 34487412 relations and 25485831 ideals in 5 passes
Tue Jun 17 01:34:59 2008 max relations containing the same ideal: 24
Tue Jun 17 01:35:39 2008 filtering rational ideals above 720000
Tue Jun 17 01:35:39 2008 filtering algebraic ideals above 720000
Tue Jun 17 01:35:39 2008 need 115927 more relations than ideals
Tue Jun 17 01:35:39 2008 commencing singleton removal, final pass
Tue Jun 17 02:26:49 2008 keeping 49033496 ideals with weight <= 20, new excess is 4536273
Tue Jun 17 02:28:48 2008 memory use: 1864.8 MB
Tue Jun 17 02:28:48 2008 commencing in-memory singleton removal
Tue Jun 17 02:29:03 2008 begin with 63643114 relations and 49033496 unique ideals
Tue Jun 17 02:29:40 2008 reduce to 63643111 relations and 49033493 ideals in 2 passes
Tue Jun 17 02:29:40 2008 max relations containing the same ideal: 20
Tue Jun 17 02:31:09 2008 removing 2892128 relations and 2492128 ideals in 400000 cliques
Tue Jun 17 02:31:13 2008 commencing in-memory singleton removal
Tue Jun 17 02:31:27 2008 begin with 60750983 relations and 49033493 unique ideals
Tue Jun 17 02:33:30 2008 reduce to 60685085 relations and 46474950 ideals in 7 passes
Tue Jun 17 02:33:30 2008 max relations containing the same ideal: 20
Tue Jun 17 02:34:50 2008 removing 2160243 relations and 1760243 ideals in 400000 cliques
Tue Jun 17 02:34:53 2008 commencing in-memory singleton removal
Tue Jun 17 02:35:07 2008 begin with 58524842 relations and 46474950 unique ideals
Tue Jun 17 02:36:48 2008 reduce to 58483487 relations and 44673075 ideals in 6 passes
Tue Jun 17 02:36:48 2008 max relations containing the same ideal: 20
Tue Jun 17 02:38:05 2008 removing 1925350 relations and 1525350 ideals in 400000 cliques
Tue Jun 17 02:38:07 2008 commencing in-memory singleton removal
Tue Jun 17 02:38:20 2008 begin with 56558137 relations and 44673075 unique ideals
Tue Jun 17 02:39:58 2008 reduce to 56523597 relations and 43112993 ideals in 6 passes
Tue Jun 17 02:39:58 2008 max relations containing the same ideal: 20
Tue Jun 17 02:41:11 2008 removing 1781937 relations and 1381937 ideals in 400000 cliques
Tue Jun 17 02:41:14 2008 commencing in-memory singleton removal
Tue Jun 17 02:41:27 2008 begin with 54741660 relations and 43112993 unique ideals
Tue Jun 17 02:43:00 2008 reduce to 54709885 relations and 41699095 ideals in 6 passes
Tue Jun 17 02:43:00 2008 max relations containing the same ideal: 20
Tue Jun 17 02:44:12 2008 removing 1690083 relations and 1290083 ideals in 400000 cliques
Tue Jun 17 02:44:14 2008 commencing in-memory singleton removal
Tue Jun 17 02:44:26 2008 begin with 53019802 relations and 41699095 unique ideals
Tue Jun 17 02:45:42 2008 reduce to 52989903 relations and 40378939 ideals in 5 passes
Tue Jun 17 02:45:42 2008 max relations containing the same ideal: 20
Tue Jun 17 02:46:51 2008 removing 1618484 relations and 1218484 ideals in 400000 cliques
Tue Jun 17 02:46:53 2008 commencing in-memory singleton removal
Tue Jun 17 02:47:05 2008 begin with 51371419 relations and 40378939 unique ideals
Tue Jun 17 02:48:18 2008 reduce to 51343725 relations and 39132579 ideals in 5 passes
Tue Jun 17 02:48:18 2008 max relations containing the same ideal: 20
Tue Jun 17 02:49:24 2008 removing 1563992 relations and 1163992 ideals in 400000 cliques
Tue Jun 17 02:49:27 2008 commencing in-memory singleton removal
Tue Jun 17 02:49:38 2008 begin with 49779733 relations and 39132579 unique ideals
Tue Jun 17 02:51:02 2008 reduce to 49752406 relations and 37941090 ideals in 6 passes
Tue Jun 17 02:51:02 2008 max relations containing the same ideal: 20
Tue Jun 17 02:52:06 2008 removing 1523549 relations and 1123549 ideals in 400000 cliques
Tue Jun 17 02:52:08 2008 commencing in-memory singleton removal
Tue Jun 17 02:52:19 2008 begin with 48228857 relations and 37941090 unique ideals
Tue Jun 17 02:53:40 2008 reduce to 48201963 relations and 36790449 ideals in 6 passes
Tue Jun 17 02:53:40 2008 max relations containing the same ideal: 20
Tue Jun 17 02:54:42 2008 removing 1470394 relations and 1070394 ideals in 400000 cliques
Tue Jun 17 02:54:44 2008 commencing in-memory singleton removal
Tue Jun 17 02:54:55 2008 begin with 46731569 relations and 36790449 unique ideals
Tue Jun 17 02:56:14 2008 reduce to 46702216 relations and 35690481 ideals in 6 passes
Tue Jun 17 02:56:14 2008 max relations containing the same ideal: 20
Tue Jun 17 02:57:13 2008 removing 1447710 relations and 1047710 ideals in 400000 cliques
Tue Jun 17 02:57:15 2008 commencing in-memory singleton removal
Tue Jun 17 02:57:26 2008 begin with 45254506 relations and 35690481 unique ideals
Tue Jun 17 02:58:41 2008 reduce to 45228568 relations and 34616645 ideals in 6 passes
Tue Jun 17 02:58:41 2008 max relations containing the same ideal: 20
Tue Jun 17 02:59:39 2008 removing 1415817 relations and 1015817 ideals in 400000 cliques
Tue Jun 17 02:59:41 2008 commencing in-memory singleton removal
Tue Jun 17 02:59:51 2008 begin with 43812751 relations and 34616645 unique ideals
Tue Jun 17 03:00:51 2008 reduce to 43785389 relations and 33573226 ideals in 5 passes
Tue Jun 17 03:00:51 2008 max relations containing the same ideal: 20
Tue Jun 17 03:01:47 2008 removing 1390044 relations and 990044 ideals in 400000 cliques
Tue Jun 17 03:01:49 2008 commencing in-memory singleton removal
Tue Jun 17 03:01:58 2008 begin with 42395345 relations and 33573226 unique ideals
Tue Jun 17 03:02:57 2008 reduce to 42366052 relations and 32553629 ideals in 5 passes
Tue Jun 17 03:02:57 2008 max relations containing the same ideal: 20
Tue Jun 17 03:03:50 2008 removing 1383632 relations and 983632 ideals in 400000 cliques
Tue Jun 17 03:03:52 2008 commencing in-memory singleton removal
Tue Jun 17 03:04:02 2008 begin with 40982420 relations and 32553629 unique ideals
Tue Jun 17 03:04:58 2008 reduce to 40954158 relations and 31541493 ideals in 5 passes
Tue Jun 17 03:04:58 2008 max relations containing the same ideal: 20
Tue Jun 17 03:05:50 2008 removing 1356417 relations and 956417 ideals in 400000 cliques
Tue Jun 17 03:05:52 2008 commencing in-memory singleton removal
Tue Jun 17 03:06:00 2008 begin with 39597741 relations and 31541493 unique ideals
Tue Jun 17 03:06:55 2008 reduce to 39567600 relations and 30554673 ideals in 5 passes
Tue Jun 17 03:06:55 2008 max relations containing the same ideal: 20
Tue Jun 17 03:07:45 2008 removing 1349727 relations and 949727 ideals in 400000 cliques
Tue Jun 17 03:07:47 2008 commencing in-memory singleton removal
Tue Jun 17 03:07:55 2008 begin with 38217873 relations and 30554673 unique ideals
Tue Jun 17 03:08:48 2008 reduce to 38187149 relations and 29573928 ideals in 5 passes
Tue Jun 17 03:08:48 2008 max relations containing the same ideal: 20
Tue Jun 17 03:09:36 2008 removing 1332297 relations and 932297 ideals in 400000 cliques
Tue Jun 17 03:09:38 2008 commencing in-memory singleton removal
Tue Jun 17 03:09:46 2008 begin with 36854852 relations and 29573928 unique ideals
Tue Jun 17 03:10:36 2008 reduce to 36822667 relations and 28609060 ideals in 5 passes
Tue Jun 17 03:10:36 2008 max relations containing the same ideal: 20
Tue Jun 17 03:11:22 2008 removing 1323076 relations and 923076 ideals in 400000 cliques
Tue Jun 17 03:11:24 2008 commencing in-memory singleton removal
Tue Jun 17 03:11:32 2008 begin with 35499591 relations and 28609060 unique ideals
Tue Jun 17 03:12:30 2008 reduce to 35466146 relations and 27652164 ideals in 6 passes
Tue Jun 17 03:12:30 2008 max relations containing the same ideal: 20
Tue Jun 17 03:13:14 2008 removing 1311240 relations and 911240 ideals in 400000 cliques
Tue Jun 17 03:13:16 2008 commencing in-memory singleton removal
Tue Jun 17 03:13:23 2008 begin with 34154906 relations and 27652164 unique ideals
Tue Jun 17 03:14:10 2008 reduce to 34119855 relations and 26705466 ideals in 5 passes
Tue Jun 17 03:14:10 2008 max relations containing the same ideal: 20
Tue Jun 17 03:14:52 2008 removing 1313275 relations and 913275 ideals in 400000 cliques
Tue Jun 17 03:14:54 2008 commencing in-memory singleton removal
Tue Jun 17 03:15:01 2008 begin with 32806580 relations and 26705466 unique ideals
Tue Jun 17 03:15:45 2008 reduce to 32771524 relations and 25756665 ideals in 5 passes
Tue Jun 17 03:15:45 2008 max relations containing the same ideal: 19
Tue Jun 17 03:16:26 2008 removing 1307838 relations and 907838 ideals in 400000 cliques
Tue Jun 17 03:16:28 2008 commencing in-memory singleton removal
Tue Jun 17 03:16:35 2008 begin with 31463686 relations and 25756665 unique ideals
Tue Jun 17 03:17:17 2008 reduce to 31428379 relations and 24813098 ideals in 5 passes
Tue Jun 17 03:17:17 2008 max relations containing the same ideal: 19
Tue Jun 17 03:17:56 2008 removing 1303599 relations and 903599 ideals in 400000 cliques
Tue Jun 17 03:17:57 2008 commencing in-memory singleton removal
Tue Jun 17 03:18:04 2008 begin with 30124780 relations and 24813098 unique ideals
Tue Jun 17 03:18:44 2008 reduce to 30086631 relations and 23870828 ideals in 5 passes
Tue Jun 17 03:18:44 2008 max relations containing the same ideal: 19
Tue Jun 17 03:19:21 2008 removing 1305296 relations and 905296 ideals in 400000 cliques
Tue Jun 17 03:19:23 2008 commencing in-memory singleton removal
Tue Jun 17 03:19:29 2008 begin with 28781335 relations and 23870828 unique ideals
Tue Jun 17 03:20:07 2008 reduce to 28740855 relations and 22924518 ideals in 5 passes
Tue Jun 17 03:20:07 2008 max relations containing the same ideal: 19
Tue Jun 17 03:20:43 2008 removing 1307477 relations and 907477 ideals in 400000 cliques
Tue Jun 17 03:20:45 2008 commencing in-memory singleton removal
Tue Jun 17 03:20:50 2008 begin with 27433378 relations and 22924518 unique ideals
Tue Jun 17 03:21:34 2008 reduce to 27389450 relations and 21972465 ideals in 6 passes
Tue Jun 17 03:21:34 2008 max relations containing the same ideal: 19
Tue Jun 17 03:22:07 2008 removing 598856 relations and 443948 ideals in 154908 cliques
Tue Jun 17 03:22:09 2008 commencing in-memory singleton removal
Tue Jun 17 03:22:14 2008 begin with 26790594 relations and 21972465 unique ideals
Tue Jun 17 03:22:57 2008 reduce to 26782210 relations and 21520088 ideals in 6 passes
Tue Jun 17 03:22:57 2008 max relations containing the same ideal: 19
Tue Jun 17 03:23:07 2008 relations with 0 large ideals: 286273
Tue Jun 17 03:23:07 2008 relations with 1 large ideals: 1905097
Tue Jun 17 03:23:07 2008 relations with 2 large ideals: 5728964
Tue Jun 17 03:23:07 2008 relations with 3 large ideals: 8662786
Tue Jun 17 03:23:07 2008 relations with 4 large ideals: 6853408
Tue Jun 17 03:23:07 2008 relations with 5 large ideals: 2795509
Tue Jun 17 03:23:07 2008 relations with 6 large ideals: 501491
Tue Jun 17 03:23:07 2008 relations with 7+ large ideals: 48682
Tue Jun 17 03:23:07 2008 commencing 2-way merge
Tue Jun 17 03:23:47 2008 reduce to 19488911 relation sets and 14226789 unique ideals
Tue Jun 17 03:23:47 2008 commencing full merge
Tue Jun 17 03:30:55 2008 memory use: 1309.6 MB
Tue Jun 17 03:30:57 2008 found 9910547 cycles, need 9184989
Tue Jun 17 03:31:05 2008 weight of 9184989 cycles is about 643172975 (70.02/cycle)
Tue Jun 17 03:31:05 2008 distribution of cycle lengths:
Tue Jun 17 03:31:05 2008 1 relations: 722308
Tue Jun 17 03:31:05 2008 2 relations: 1030820
Tue Jun 17 03:31:05 2008 3 relations: 1213183
Tue Jun 17 03:31:05 2008 4 relations: 1234884
Tue Jun 17 03:31:05 2008 5 relations: 1179951
Tue Jun 17 03:31:05 2008 6 relations: 1052374
Tue Jun 17 03:31:05 2008 7 relations: 896379
Tue Jun 17 03:31:05 2008 8 relations: 719936
Tue Jun 17 03:31:05 2008 9 relations: 553036
Tue Jun 17 03:31:05 2008 10+ relations: 582118
Tue Jun 17 03:31:05 2008 heaviest cycle: 12 relations
Tue Jun 17 03:31:08 2008 commencing cycle optimization
Tue Jun 17 03:31:57 2008 start with 46598085 relations
Tue Jun 17 03:35:31 2008 pruned 873273 relations
Tue Jun 17 03:35:32 2008 memory use: 1539.3 MB
Tue Jun 17 03:35:32 2008 distribution of cycle lengths:
Tue Jun 17 03:35:32 2008 1 relations: 722308
Tue Jun 17 03:35:32 2008 2 relations: 1046881
Tue Jun 17 03:35:32 2008 3 relations: 1249827
Tue Jun 17 03:35:32 2008 4 relations: 1263691
Tue Jun 17 03:35:32 2008 5 relations: 1215404
Tue Jun 17 03:35:32 2008 6 relations: 1074455
Tue Jun 17 03:35:32 2008 7 relations: 909454
Tue Jun 17 03:35:32 2008 8 relations: 712678
Tue Jun 17 03:35:32 2008 9 relations: 523593
Tue Jun 17 03:35:32 2008 10+ relations: 466698
Tue Jun 17 03:35:32 2008 heaviest cycle: 12 relations
Tue Jun 17 03:36:09 2008
Tue Jun 17 03:36:18 2008 commencing linear algebra
Tue Jun 17 03:36:21 2008 read 9184989 cycles
Tue Jun 17 03:38:44 2008 cycles contain 24808683 unique relations
Tue Jun 17 03:43:33 2008 read 24808683 relations
Tue Jun 17 03:45:15 2008 using 32 quadratic characters above 1073740250
Tue Jun 17 03:51:20 2008 building initial matrix
Tue Jun 17 04:06:35 2008 memory use: 3116.1 MB
Tue Jun 17 04:06:44 2008 read 9184989 cycles
Tue Jun 17 04:06:55 2008 matrix is 9184688 x 9184989 (2754.0 MB) with weight 862824548 (93.94/col)
Tue Jun 17 04:06:55 2008 sparse part has weight 620904425 (67.60/col)
Tue Jun 17 04:14:56 2008 filtering completed in 3 passes
Tue Jun 17 04:15:01 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col)
Tue Jun 17 04:15:01 2008 sparse part has weight 620639344 (67.68/col)
Tue Jun 17 04:16:56 2008 read 9170374 cycles
Tue Jun 17 04:17:07 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col)
Tue Jun 17 04:17:07 2008 sparse part has weight 620639344 (67.68/col)
Tue Jun 17 04:17:08 2008 saving the first 48 matrix rows for later
Tue Jun 17 04:17:17 2008 matrix is 9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col)
Tue Jun 17 04:17:17 2008 sparse part has weight 604509751 (65.92/col)
Tue Jun 17 04:17:17 2008 matrix includes 64 packed rows
Tue Jun 17 04:17:17 2008 using block size 65536 for processor cache size 2048 kB
Tue Jun 17 04:18:41 2008 commencing Lanczos iteration (7 threads)
Tue Jun 17 04:18:41 2008 memory use: 3015.7 MB
Thu Jun 19 22:40:12 2008 lanczos halted after 33766 iterations (dim = 2134956)

Thu Jun 19 22:48:49 2008 Msieve v. 1.36
Thu Jun 19 22:48:49 2008 random seeds: 59038c53 2145cf78
Thu Jun 19 22:48:49 2008 factoring 8818494710724135843992143485822092387241346180661731882584652814791399260404212300220860100310211000039811546760342771415871328563704658755540522813656456530773991725065170759876875165438074252973593473504031270181916247141124747 (229 digits)
Thu Jun 19 22:48:52 2008 no P-1/P+1/ECM available, skipping
Thu Jun 19 22:48:52 2008 commencing number field sieve (229-digit input)
Thu Jun 19 22:48:52 2008 R0: -1
Thu Jun 19 22:48:52 2008 R1: 10000000000000000000000000000000000000000
Thu Jun 19 22:48:52 2008 A0: -10
Thu Jun 19 22:48:52 2008 A1: 0
Thu Jun 19 22:48:52 2008 A2: 0
Thu Jun 19 22:48:52 2008 A3: 0
Thu Jun 19 22:48:52 2008 A4: 0
Thu Jun 19 22:48:52 2008 A5: 0
Thu Jun 19 22:48:52 2008 A6: 1
Thu Jun 19 22:48:52 2008 size score = 1.313169e-11, Murphy alpha = 1.181381, combined = 9.369794e-12
Thu Jun 19 22:48:52 2008
Thu Jun 19 22:48:52 2008 commencing linear algebra
Thu Jun 19 22:48:54 2008 read 9170374 cycles
Thu Jun 19 22:49:04 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col)
Thu Jun 19 22:49:04 2008 sparse part has weight 620639344 (67.68/col)
Thu Jun 19 22:49:05 2008 saving the first 48 matrix rows for later
Thu Jun 19 22:49:14 2008 matrix is 9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col)
Thu Jun 19 22:49:14 2008 sparse part has weight 604509751 (65.92/col)
Thu Jun 19 22:49:14 2008 matrix includes 64 packed rows
Thu Jun 19 22:49:14 2008 using block size 65536 for processor cache size 2048 kB
Thu Jun 19 22:50:29 2008 commencing Lanczos iteration (8 threads)
Thu Jun 19 22:50:29 2008 memory use: 3085.8 MB
Thu Jun 19 22:50:29 2008 restarting at iteration 33791 (dim = 2136536)
Mon Jun 23 15:08:25 2008 lanczos halted after 80536 iterations (dim = 5092285)
Mon Jun 23 15:08:26 2008
Mon Jun 23 15:08:26 2008 commencing square root phase
Mon Jun 23 15:08:26 2008 reading relations for dependency 1
Mon Jun 23 23:27:00 2008
Mon Jun 23 23:27:00 2008
Mon Jun 23 23:27:00 2008 Msieve v. 1.36
Mon Jun 23 23:27:00 2008 random seeds: 0b50f40a c256cd4b
Mon Jun 23 23:27:00 2008 factoring 8818494710724135843992143485822092387241346180661731882584652814791399260404212300220860100310211000039811546760342771415871328563704658755540522813656456530773991725065170759876875165438074252973593473504031270181916247141124747 (229 digits)
Mon Jun 23 23:27:03 2008 no P-1/P+1/ECM available, skipping
Mon Jun 23 23:27:03 2008 commencing number field sieve (229-digit input)
Mon Jun 23 23:27:03 2008 R0: -1
Mon Jun 23 23:27:03 2008 R1: 10000000000000000000000000000000000000000
Mon Jun 23 23:27:03 2008 A0: -10
Mon Jun 23 23:27:03 2008 A1: 0
Mon Jun 23 23:27:03 2008 A2: 0
Mon Jun 23 23:27:03 2008 A3: 0
Mon Jun 23 23:27:03 2008 A4: 0
Mon Jun 23 23:27:03 2008 A5: 0
Mon Jun 23 23:27:03 2008 A6: 1
Mon Jun 23 23:27:03 2008 size score = 1.313169e-11, Murphy alpha = 1.181381, combined = 9.369794e-12
Mon Jun 23 23:27:03 2008
Mon Jun 23 23:27:03 2008 commencing linear algebra
Mon Jun 23 23:27:11 2008 read 9170374 cycles
Mon Jun 23 23:28:40 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col)
Mon Jun 23 23:28:40 2008 sparse part has weight 620639344 (67.68/col)
Mon Jun 23 23:28:40 2008 saving the first 48 matrix rows for later
Mon Jun 23 23:28:48 2008 matrix is 9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col)
Mon Jun 23 23:28:49 2008 sparse part has weight 604509751 (65.92/col)
Mon Jun 23 23:28:49 2008 matrix includes 64 packed rows
Mon Jun 23 23:28:49 2008 using block size 65536 for processor cache size 2048 kB
Mon Jun 23 23:30:04 2008 commencing Lanczos iteration (8 threads)
Mon Jun 23 23:30:04 2008 memory use: 3085.8 MB
Mon Jun 23 23:30:08 2008 restarting at iteration 80536 (dim = 5092285)
Wed Jun 25 12:46:56 2008 lanczos halted after 99170 iterations (dim = 6270439)
Wed Jun 25 12:46:56 2008
Wed Jun 25 12:46:56 2008 commencing square root phase
Wed Jun 25 12:46:56 2008 reading relations for dependency 1
Wed Jun 25 12:47:09 2008
Wed Jun 25 12:47:09 2008
Wed Jun 25 12:47:09 2008 Msieve v. 1.36
Wed Jun 25 12:47:09 2008 random seeds: d61b2a55 4d021394
Wed Jun 25 12:47:09 2008 factoring 8818494710724135843992143485822092387241346180661731882584652814791399260404212300220860100310211000039811546760342771415871328563704658755540522813656456530773991725065170759876875165438074252973593473504031270181916247141124747 (229 digits)
Wed Jun 25 12:47:12 2008 no P-1/P+1/ECM available, skipping
Wed Jun 25 12:47:12 2008 commencing number field sieve (229-digit input)
Wed Jun 25 12:47:12 2008 R0: -1
Wed Jun 25 12:47:12 2008 R1: 10000000000000000000000000000000000000000
Wed Jun 25 12:47:12 2008 A0: -10
Wed Jun 25 12:47:12 2008 A1: 0
Wed Jun 25 12:47:12 2008 A2: 0
Wed Jun 25 12:47:12 2008 A3: 0
Wed Jun 25 12:47:12 2008 A4: 0
Wed Jun 25 12:47:12 2008 A5: 0
Wed Jun 25 12:47:12 2008 A6: 1
Wed Jun 25 12:47:12 2008 size score = 1.313169e-11, Murphy alpha = 1.181381, combined = 9.369794e-12
Wed Jun 25 12:47:12 2008
Wed Jun 25 12:47:12 2008 commencing linear algebra
Wed Jun 25 12:47:14 2008 read 9170374 cycles
Wed Jun 25 12:47:24 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col)
Wed Jun 25 12:47:24 2008 sparse part has weight 620639344 (67.68/col)
Wed Jun 25 12:47:25 2008 saving the first 48 matrix rows for later
Wed Jun 25 12:47:34 2008 matrix is 9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col)
Wed Jun 25 12:47:34 2008 sparse part has weight 604509751 (65.92/col)
Wed Jun 25 12:47:34 2008 matrix includes 64 packed rows
Wed Jun 25 12:47:34 2008 using block size 65536 for processor cache size 2048 kB
Wed Jun 25 12:48:49 2008 commencing Lanczos iteration (8 threads)
Wed Jun 25 12:48:49 2008 memory use: 3085.8 MB
Wed Jun 25 12:48:49 2008 restarting at iteration 99170 (dim = 6270439)
Sun Jun 29 21:42:09 2008 lanczos halted after 145024 iterations (dim = 9170124)
Sun Jun 29 21:42:42 2008 recovered 44 nontrivial dependencies
Sun Jun 29 21:42:42 2008
Sun Jun 29 21:42:42 2008 commencing square root phase
Sun Jun 29 21:42:42 2008 reading relations for dependency 1
Sun Jun 29 21:42:47 2008 read 4585371 cycles
Sun Jun 29 21:43:36 2008 cycles contain 15481528 unique relations
Sun Jun 29 21:47:34 2008 read 15481528 relations
Sun Jun 29 21:53:48 2008 multiplying 22858546 relations
Sun Jun 29 23:32:28 2008 multiply complete, coefficients have about 573.26 million bits
Sun Jun 29 23:32:49 2008 initial square root is modulo 139021
Mon Jun 30 03:05:54 2008 prp58 factor: 6864117620760368762783548070444378476387203247067308861991
Mon Jun 30 03:05:54 2008 prp172 factor: 1284723718027907578308161847718833604584745675921223819698370321057736028110620211093158003640524870589886498093069906476856343743741576560078333050912151555369147240369917
Mon Jun 30 03:05:54 2008 elapsed time 110:18:45
[/CODE]

6,313- is done. Here's the log.

[CODE]Fri Jul 25 18:14:26 2008 Msieve v. 1.36
Fri Jul 25 18:14:26 2008 random seeds: fce5ee02 158e659e
Fri Jul 25 18:14:26 2008 factoring 28403424180675214853098193865490057014063902497128388709439092464457771134002915643684447027365842305085064624764952215406305213940449664683336683993252753113631311980573532223712991612038027498881491551745039965087318065889563 (227 digits)
Fri Jul 25 18:14:29 2008 no P-1/P+1/ECM available, skipping
Fri Jul 25 18:14:29 2008 commencing number field sieve (227-digit input)
Fri Jul 25 18:14:29 2008 R0: -1
Fri Jul 25 18:14:29 2008 R1: 29098125988731506183153025616435306561536
Fri Jul 25 18:14:29 2008 A0: -6
Fri Jul 25 18:14:29 2008 A1: 0
Fri Jul 25 18:14:29 2008 A2: 0
Fri Jul 25 18:14:29 2008 A3: 0
Fri Jul 25 18:14:29 2008 A4: 0
Fri Jul 25 18:14:29 2008 A5: 0
Fri Jul 25 18:14:29 2008 A6: 1
Fri Jul 25 18:14:29 2008 size score = 1.053811e-11, Murphy alpha = 1.872322, combined = 6.172159e-12
Fri Jul 25 18:15:24 2008 restarting with 102731102 relations
Fri Jul 25 18:15:24 2008
Fri Jul 25 18:15:24 2008 commencing relation filtering
Fri Jul 25 18:15:24 2008 commencing duplicate removal, pass 1
Fri Jul 25 18:34:59 2008 found 15468369 hash collisions in 102731084 relations
Fri Jul 25 18:34:59 2008 commencing duplicate removal, pass 2
Fri Jul 25 18:45:56 2008 found 0 duplicates and 102731084 unique relations
Fri Jul 25 18:45:56 2008 memory use: 504.8 MB
Fri Jul 25 18:45:57 2008 ignoring smallest 78498 rational and 78178 algebraic ideals
Fri Jul 25 18:45:57 2008 filtering rational ideals above 1000000
Fri Jul 25 18:45:57 2008 filtering algebraic ideals above 1000000
Fri Jul 25 18:45:57 2008 need 235014 more relations than ideals
Fri Jul 25 18:45:57 2008 commencing singleton removal, pass 1
Fri Jul 25 19:12:18 2008 relations with 0 large ideals: 6497
Fri Jul 25 19:12:18 2008 relations with 1 large ideals: 456
Fri Jul 25 19:12:18 2008 relations with 2 large ideals: 9659
Fri Jul 25 19:12:18 2008 relations with 3 large ideals: 114489
Fri Jul 25 19:12:18 2008 relations with 4 large ideals: 852674
Fri Jul 25 19:12:18 2008 relations with 5 large ideals: 4066534
Fri Jul 25 19:12:18 2008 relations with 6 large ideals: 12403006
Fri Jul 25 19:12:18 2008 relations with 7+ large ideals: 85277769
Fri Jul 25 19:12:18 2008 102731084 relations and about 67454694 large ideals
Fri Jul 25 19:12:18 2008 commencing singleton removal, pass 2
Fri Jul 25 19:38:19 2008 found 12344562 singletons
Fri Jul 25 19:38:19 2008 current dataset: 90386522 relations and about 54504939 large ideals
Fri Jul 25 19:38:20 2008 commencing singleton removal, pass 3
Fri Jul 25 20:02:53 2008 relations with 0 large ideals: 6497
Fri Jul 25 20:02:53 2008 relations with 1 large ideals: 441
Fri Jul 25 20:02:53 2008 relations with 2 large ideals: 9206
Fri Jul 25 20:02:53 2008 relations with 3 large ideals: 106917
Fri Jul 25 20:02:53 2008 relations with 4 large ideals: 779759
Fri Jul 25 20:02:53 2008 relations with 5 large ideals: 3655056
Fri Jul 25 20:02:53 2008 relations with 6 large ideals: 11008718
Fri Jul 25 20:02:53 2008 relations with 7+ large ideals: 74819928
Fri Jul 25 20:02:53 2008 90386522 relations and about 68677241 large ideals
Fri Jul 25 20:02:53 2008 commencing singleton removal, pass 4
Fri Jul 25 20:27:04 2008 found 11006755 singletons
Fri Jul 25 20:27:04 2008 current dataset: 79379767 relations and about 57122603 large ideals
Fri Jul 25 20:27:04 2008 commencing singleton removal, pass 5
Fri Jul 25 20:48:13 2008 found 1878958 singletons
Fri Jul 25 20:48:13 2008 current dataset: 77500809 relations and about 55224971 large ideals
Fri Jul 25 20:48:13 2008 commencing singleton removal, pass 6
Fri Jul 25 21:09:08 2008 found 276015 singletons
Fri Jul 25 21:09:08 2008 current dataset: 77224794 relations and about 54948504 large ideals
Fri Jul 25 21:09:09 2008 commencing singleton removal, final pass
Fri Jul 25 23:03:54 2008 memory use: 2883.5 MB
Fri Jul 25 23:03:56 2008 commencing in-memory singleton removal
Fri Jul 25 23:05:54 2008 begin with 77224794 relations and 64963471 unique ideals
Fri Jul 25 23:27:57 2008 reduce to 70521498 relations and 58123825 ideals in 11 passes
Fri Jul 25 23:27:57 2008 max relations containing the same ideal: 579
Fri Jul 25 23:36:34 2008 removing 2786031 relations and 2386031 ideals in 400000 cliques
Fri Jul 25 23:36:45 2008 commencing in-memory singleton removal
Fri Jul 25 23:38:27 2008 begin with 67735467 relations and 58123825 unique ideals
Fri Jul 25 23:51:18 2008 reduce to 67681418 relations and 55683358 ideals in 7 passes
Fri Jul 25 23:51:18 2008 max relations containing the same ideal: 558
Fri Jul 25 23:59:03 2008 removing 2102446 relations and 1702446 ideals in 400000 cliques
Fri Jul 25 23:59:14 2008 commencing in-memory singleton removal
Sat Jul 26 00:00:47 2008 begin with 65578972 relations and 55683358 unique ideals
Sat Jul 26 00:11:10 2008 reduce to 65544385 relations and 53946138 ideals in 6 passes
Sat Jul 26 00:11:10 2008 max relations containing the same ideal: 541
Sat Jul 26 00:18:51 2008 removing 1878748 relations and 1478748 ideals in 400000 cliques
Sat Jul 26 00:19:02 2008 commencing in-memory singleton removal
Sat Jul 26 00:20:36 2008 begin with 63665637 relations and 53946138 unique ideals
Sat Jul 26 00:30:53 2008 reduce to 63635940 relations and 52437543 ideals in 6 passes
Sat Jul 26 00:30:53 2008 max relations containing the same ideal: 527
Sat Jul 26 00:38:28 2008 removing 1745885 relations and 1345885 ideals in 400000 cliques
Sat Jul 26 00:38:41 2008 commencing in-memory singleton removal
Sat Jul 26 00:40:13 2008 begin with 61890055 relations and 52437543 unique ideals
Sat Jul 26 00:49:53 2008 reduce to 61863210 relations and 51064662 ideals in 6 passes
Sat Jul 26 00:49:53 2008 max relations containing the same ideal: 515
Sat Jul 26 00:57:06 2008 removing 1661729 relations and 1261729 ideals in 400000 cliques
Sat Jul 26 00:57:17 2008 commencing in-memory singleton removal
Sat Jul 26 00:58:42 2008 begin with 60201481 relations and 51064662 unique ideals
Sat Jul 26 01:06:31 2008 reduce to 60176236 relations and 49777555 ideals in 5 passes
Sat Jul 26 01:06:31 2008 max relations containing the same ideal: 501
Sat Jul 26 01:13:18 2008 removing 1595818 relations and 1195818 ideals in 400000 cliques
Sat Jul 26 01:13:30 2008 commencing in-memory singleton removal
Sat Jul 26 01:14:58 2008 begin with 58580418 relations and 49777555 unique ideals
Sat Jul 26 01:23:53 2008 reduce to 58557808 relations and 48559015 ideals in 6 passes
Sat Jul 26 01:23:53 2008 max relations containing the same ideal: 494
Sat Jul 26 01:30:27 2008 removing 1539481 relations and 1139481 ideals in 400000 cliques
Sat Jul 26 01:30:34 2008 commencing in-memory singleton removal
Sat Jul 26 01:31:59 2008 begin with 57018327 relations and 48559015 unique ideals
Sat Jul 26 01:40:49 2008 reduce to 56994747 relations and 47395818 ideals in 6 passes
Sat Jul 26 01:40:49 2008 max relations containing the same ideal: 474
Sat Jul 26 01:47:26 2008 removing 1496102 relations and 1096102 ideals in 400000 cliques
Sat Jul 26 01:47:37 2008 commencing in-memory singleton removal
Sat Jul 26 01:48:59 2008 begin with 55498645 relations and 47395818 unique ideals
Sat Jul 26 01:55:55 2008 reduce to 55474761 relations and 46275693 ideals in 5 passes
Sat Jul 26 01:55:55 2008 max relations containing the same ideal: 466
Sat Jul 26 02:02:17 2008 removing 1454335 relations and 1054335 ideals in 400000 cliques
Sat Jul 26 02:02:25 2008 commencing in-memory singleton removal
Sat Jul 26 02:03:40 2008 begin with 54020426 relations and 46275693 unique ideals
Sat Jul 26 02:10:37 2008 reduce to 53996560 relations and 45197348 ideals in 5 passes
Sat Jul 26 02:10:37 2008 max relations containing the same ideal: 457
Sat Jul 26 02:16:40 2008 removing 1428364 relations and 1028364 ideals in 400000 cliques
Sat Jul 26 02:16:50 2008 commencing in-memory singleton removal
Sat Jul 26 02:18:02 2008 begin with 52568196 relations and 45197348 unique ideals
Sat Jul 26 02:24:46 2008 reduce to 52546317 relations and 44146966 ideals in 5 passes
Sat Jul 26 02:24:46 2008 max relations containing the same ideal: 443
Sat Jul 26 02:30:50 2008 removing 1392951 relations and 992951 ideals in 400000 cliques
Sat Jul 26 02:31:01 2008 commencing in-memory singleton removal
Sat Jul 26 02:32:06 2008 begin with 51153366 relations and 44146966 unique ideals
Sat Jul 26 02:38:24 2008 reduce to 51129629 relations and 43130109 ideals in 5 passes
Sat Jul 26 02:38:24 2008 max relations containing the same ideal: 434
Sat Jul 26 02:44:23 2008 removing 1379424 relations and 979424 ideals in 400000 cliques
Sat Jul 26 02:44:31 2008 commencing in-memory singleton removal
Sat Jul 26 02:45:46 2008 begin with 49750205 relations and 43130109 unique ideals
Sat Jul 26 02:52:06 2008 reduce to 49726524 relations and 42126832 ideals in 5 passes
Sat Jul 26 02:52:06 2008 max relations containing the same ideal: 425
Sat Jul 26 02:57:50 2008 removing 1363322 relations and 963322 ideals in 400000 cliques
Sat Jul 26 02:58:00 2008 commencing in-memory singleton removal
Sat Jul 26 02:59:11 2008 begin with 48363202 relations and 42126832 unique ideals
Sat Jul 26 03:05:23 2008 reduce to 48339709 relations and 41139840 ideals in 5 passes
Sat Jul 26 03:05:23 2008 max relations containing the same ideal: 408
Sat Jul 26 03:10:48 2008 removing 1344428 relations and 944428 ideals in 400000 cliques
Sat Jul 26 03:10:56 2008 commencing in-memory singleton removal
Sat Jul 26 03:12:05 2008 begin with 46995281 relations and 41139840 unique ideals
Sat Jul 26 03:17:54 2008 reduce to 46970862 relations and 40170779 ideals in 5 passes
Sat Jul 26 03:17:54 2008 max relations containing the same ideal: 400
Sat Jul 26 03:23:19 2008 removing 1328884 relations and 928884 ideals in 400000 cliques
Sat Jul 26 03:23:28 2008 commencing in-memory singleton removal
Sat Jul 26 03:24:33 2008 begin with 45641978 relations and 40170779 unique ideals
Sat Jul 26 03:30:12 2008 reduce to 45616870 relations and 39216581 ideals in 5 passes
Sat Jul 26 03:30:12 2008 max relations containing the same ideal: 392
Sat Jul 26 03:35:25 2008 removing 1310594 relations and 910594 ideals in 400000 cliques
Sat Jul 26 03:35:36 2008 commencing in-memory singleton removal
Sat Jul 26 03:36:35 2008 begin with 44306276 relations and 39216581 unique ideals
Sat Jul 26 03:42:08 2008 reduce to 44279303 relations and 38278764 ideals in 5 passes
Sat Jul 26 03:42:08 2008 max relations containing the same ideal: 382
Sat Jul 26 03:47:04 2008 removing 1304434 relations and 904434 ideals in 400000 cliques
Sat Jul 26 03:47:14 2008 commencing in-memory singleton removal
Sat Jul 26 03:48:09 2008 begin with 42974869 relations and 38278764 unique ideals
Sat Jul 26 03:53:08 2008 reduce to 42948996 relations and 37348219 ideals in 5 passes
Sat Jul 26 03:53:08 2008 max relations containing the same ideal: 369
Sat Jul 26 03:58:05 2008 removing 1296642 relations and 896642 ideals in 400000 cliques
Sat Jul 26 03:58:11 2008 commencing in-memory singleton removal
Sat Jul 26 03:59:12 2008 begin with 41652354 relations and 37348219 unique ideals
Sat Jul 26 04:05:12 2008 reduce to 41627722 relations and 36426704 ideals in 6 passes
Sat Jul 26 04:05:12 2008 max relations containing the same ideal: 359
Sat Jul 26 04:09:49 2008 removing 1283042 relations and 883042 ideals in 400000 cliques
Sat Jul 26 04:09:56 2008 commencing in-memory singleton removal
Sat Jul 26 04:10:44 2008 begin with 40344680 relations and 36426704 unique ideals
Sat Jul 26 04:15:34 2008 reduce to 40319323 relations and 35518041 ideals in 5 passes
Sat Jul 26 04:15:34 2008 max relations containing the same ideal: 353
Sat Jul 26 04:20:09 2008 removing 1272556 relations and 872556 ideals in 400000 cliques
Sat Jul 26 04:20:16 2008 commencing in-memory singleton removal
Sat Jul 26 04:21:15 2008 begin with 39046767 relations and 35518041 unique ideals
Sat Jul 26 04:25:44 2008 reduce to 39019792 relations and 34618264 ideals in 5 passes
Sat Jul 26 04:25:44 2008 max relations containing the same ideal: 347
Sat Jul 26 04:30:09 2008 removing 1279743 relations and 879743 ideals in 400000 cliques
Sat Jul 26 04:30:19 2008 commencing in-memory singleton removal
Sat Jul 26 04:31:11 2008 begin with 37740049 relations and 34618264 unique ideals
Sat Jul 26 04:36:00 2008 reduce to 37713314 relations and 33711493 ideals in 5 passes
Sat Jul 26 04:36:00 2008 max relations containing the same ideal: 335
Sat Jul 26 04:40:05 2008 removing 1269859 relations and 869859 ideals in 400000 cliques
Sat Jul 26 04:40:11 2008 commencing in-memory singleton removal
Sat Jul 26 04:41:05 2008 begin with 36443455 relations and 33711493 unique ideals
Sat Jul 26 04:45:12 2008 reduce to 36415368 relations and 32813243 ideals in 5 passes
Sat Jul 26 04:45:12 2008 max relations containing the same ideal: 326
Sat Jul 26 04:49:19 2008 removing 1266399 relations and 866399 ideals in 400000 cliques
Sat Jul 26 04:49:24 2008 commencing in-memory singleton removal
Sat Jul 26 04:50:13 2008 begin with 35148969 relations and 32813243 unique ideals
Sat Jul 26 04:54:22 2008 reduce to 35119455 relations and 31917012 ideals in 5 passes
Sat Jul 26 04:54:22 2008 max relations containing the same ideal: 320
Sat Jul 26 04:58:20 2008 removing 1263687 relations and 863687 ideals in 400000 cliques
Sat Jul 26 04:58:27 2008 commencing in-memory singleton removal
Sat Jul 26 04:59:16 2008 begin with 33855768 relations and 31917012 unique ideals
Sat Jul 26 05:03:15 2008 reduce to 33824948 relations and 31022144 ideals in 5 passes
Sat Jul 26 05:03:15 2008 max relations containing the same ideal: 306
Sat Jul 26 05:06:55 2008 removing 1264655 relations and 864655 ideals in 400000 cliques
Sat Jul 26 05:07:00 2008 commencing in-memory singleton removal
Sat Jul 26 05:07:41 2008 begin with 32560293 relations and 31022144 unique ideals
Sat Jul 26 05:12:04 2008 reduce to 32527652 relations and 30124431 ideals in 6 passes
Sat Jul 26 05:12:04 2008 max relations containing the same ideal: 297
Sat Jul 26 05:15:50 2008 removing 1266923 relations and 866923 ideals in 400000 cliques
Sat Jul 26 05:16:00 2008 commencing in-memory singleton removal
Sat Jul 26 05:16:41 2008 begin with 31260729 relations and 30124431 unique ideals
Sat Jul 26 05:20:21 2008 reduce to 31226260 relations and 29222596 ideals in 5 passes
Sat Jul 26 05:20:21 2008 max relations containing the same ideal: 287
Sat Jul 26 05:23:51 2008 removing 1268763 relations and 868763 ideals in 400000 cliques
Sat Jul 26 05:23:54 2008 commencing in-memory singleton removal
Sat Jul 26 05:24:33 2008 begin with 29957497 relations and 29222596 unique ideals
Sat Jul 26 05:27:56 2008 reduce to 29920577 relations and 28316455 ideals in 5 passes
Sat Jul 26 05:27:56 2008 max relations containing the same ideal: 277
Sat Jul 26 05:31:11 2008 removing 1274047 relations and 874047 ideals in 400000 cliques
Sat Jul 26 05:31:16 2008 commencing in-memory singleton removal
Sat Jul 26 05:31:50 2008 begin with 28646530 relations and 28316455 unique ideals
Sat Jul 26 05:35:08 2008 reduce to 28606654 relations and 27402012 ideals in 5 passes
Sat Jul 26 05:35:08 2008 max relations containing the same ideal: 265
Sat Jul 26 05:38:20 2008 removing 1279264 relations and 879264 ideals in 400000 cliques
Sat Jul 26 05:38:24 2008 commencing in-memory singleton removal
Sat Jul 26 05:38:54 2008 begin with 27327390 relations and 27402012 unique ideals
Sat Jul 26 05:42:36 2008 reduce to 27283882 relations and 26478690 ideals in 6 passes
Sat Jul 26 05:42:36 2008 max relations containing the same ideal: 257
Sat Jul 26 05:45:46 2008 removing 1294299 relations and 894299 ideals in 400000 cliques
Sat Jul 26 05:45:48 2008 commencing in-memory singleton removal
Sat Jul 26 05:46:19 2008 begin with 25989583 relations and 26478690 unique ideals
Sat Jul 26 05:49:47 2008 reduce to 25943343 relations and 25537475 ideals in 6 passes
Sat Jul 26 05:49:47 2008 max relations containing the same ideal: 246
Sat Jul 26 05:52:43 2008 removing 646939 relations and 476086 ideals in 170853 cliques
Sat Jul 26 05:52:49 2008 commencing in-memory singleton removal
Sat Jul 26 05:53:19 2008 begin with 25296404 relations and 25537475 unique ideals
Sat Jul 26 05:56:01 2008 reduce to 25285276 relations and 25050210 ideals in 5 passes
Sat Jul 26 05:56:01 2008 max relations containing the same ideal: 241
Sat Jul 26 05:56:30 2008 filtering rational ideals above 400000
Sat Jul 26 05:56:30 2008 filtering algebraic ideals above 400000
Sat Jul 26 05:56:30 2008 need 67436 more relations than ideals
Sat Jul 26 05:56:30 2008 commencing singleton removal, final pass
Sat Jul 26 09:04:37 2008 keeping 53360355 ideals with weight <= 20, new excess is 4920146
Sat Jul 26 09:11:20 2008 memory use: 1883.0 MB
Sat Jul 26 09:11:21 2008 commencing in-memory singleton removal
Sat Jul 26 09:12:17 2008 begin with 70521498 relations and 53360355 unique ideals
Sat Jul 26 09:13:26 2008 reduce to 70521498 relations and 53360355 ideals in 1 passes
Sat Jul 26 09:13:26 2008 max relations containing the same ideal: 20
Sat Jul 26 09:18:29 2008 removing 2786030 relations and 2386030 ideals in 400000 cliques
Sat Jul 26 09:18:40 2008 commencing in-memory singleton removal
Sat Jul 26 09:19:31 2008 begin with 67735468 relations and 53360355 unique ideals
Sat Jul 26 09:27:31 2008 reduce to 67681423 relations and 50919893 ideals in 7 passes
Sat Jul 26 09:27:31 2008 max relations containing the same ideal: 20
Sat Jul 26 09:32:27 2008 removing 2102448 relations and 1702448 ideals in 400000 cliques
Sat Jul 26 09:32:33 2008 commencing in-memory singleton removal
Sat Jul 26 09:33:23 2008 begin with 65578975 relations and 50919893 unique ideals
Sat Jul 26 09:39:53 2008 reduce to 65544388 relations and 49182671 ideals in 6 passes
Sat Jul 26 09:39:53 2008 max relations containing the same ideal: 20
Sat Jul 26 09:44:38 2008 removing 1878751 relations and 1478751 ideals in 400000 cliques
Sat Jul 26 09:44:45 2008 commencing in-memory singleton removal
Sat Jul 26 09:45:34 2008 begin with 63665637 relations and 49182671 unique ideals
Sat Jul 26 09:51:37 2008 reduce to 63635945 relations and 47674078 ideals in 6 passes
Sat Jul 26 09:51:37 2008 max relations containing the same ideal: 20
Sat Jul 26 09:55:58 2008 removing 1745890 relations and 1345890 ideals in 400000 cliques
Sat Jul 26 09:56:04 2008 commencing in-memory singleton removal
Sat Jul 26 09:56:44 2008 begin with 61890055 relations and 47674078 unique ideals
Sat Jul 26 10:02:25 2008 reduce to 61863208 relations and 46301190 ideals in 6 passes
Sat Jul 26 10:02:25 2008 max relations containing the same ideal: 20
Sat Jul 26 10:06:35 2008 removing 1661736 relations and 1261736 ideals in 400000 cliques
Sat Jul 26 10:06:44 2008 commencing in-memory singleton removal
Sat Jul 26 10:07:29 2008 begin with 60201472 relations and 46301190 unique ideals
Sat Jul 26 10:12:13 2008 reduce to 60176227 relations and 45014076 ideals in 5 passes
Sat Jul 26 10:12:13 2008 max relations containing the same ideal: 20
Sat Jul 26 10:16:08 2008 removing 1595806 relations and 1195806 ideals in 400000 cliques
Sat Jul 26 10:16:16 2008 commencing in-memory singleton removal
Sat Jul 26 10:16:54 2008 begin with 58580421 relations and 45014076 unique ideals
Sat Jul 26 10:22:06 2008 reduce to 58557819 relations and 43795556 ideals in 6 passes
Sat Jul 26 10:22:06 2008 max relations containing the same ideal: 20
Sat Jul 26 10:26:03 2008 removing 1539484 relations and 1139484 ideals in 400000 cliques
Sat Jul 26 10:26:08 2008 commencing in-memory singleton removal
Sat Jul 26 10:26:51 2008 begin with 57018335 relations and 43795556 unique ideals
Sat Jul 26 10:31:53 2008 reduce to 56994772 relations and 42632373 ideals in 6 passes
Sat Jul 26 10:31:53 2008 max relations containing the same ideal: 20
Sat Jul 26 10:35:44 2008 removing 1496137 relations and 1096137 ideals in 400000 cliques
Sat Jul 26 10:35:49 2008 commencing in-memory singleton removal
Sat Jul 26 10:36:34 2008 begin with 55498635 relations and 42632373 unique ideals
Sat Jul 26 10:40:57 2008 reduce to 55474741 relations and 41512204 ideals in 5 passes
Sat Jul 26 10:40:57 2008 max relations containing the same ideal: 20
Sat Jul 26 10:44:41 2008 removing 1454340 relations and 1054340 ideals in 400000 cliques
Sat Jul 26 10:44:45 2008 commencing in-memory singleton removal
Sat Jul 26 10:45:32 2008 begin with 54020401 relations and 41512204 unique ideals
Sat Jul 26 10:49:43 2008 reduce to 53996556 relations and 40433875 ideals in 5 passes
Sat Jul 26 10:49:43 2008 max relations containing the same ideal: 20
Sat Jul 26 10:53:18 2008 removing 1428358 relations and 1028358 ideals in 400000 cliques
Sat Jul 26 10:53:22 2008 commencing in-memory singleton removal
Sat Jul 26 10:53:58 2008 begin with 52568198 relations and 40433875 unique ideals
Sat Jul 26 10:57:56 2008 reduce to 52546301 relations and 39383481 ideals in 5 passes
Sat Jul 26 10:57:56 2008 max relations containing the same ideal: 20
Sat Jul 26 11:01:25 2008 removing 1392929 relations and 992929 ideals in 400000 cliques
Sat Jul 26 11:01:34 2008 commencing in-memory singleton removal
Sat Jul 26 11:02:15 2008 begin with 51153372 relations and 39383481 unique ideals
Sat Jul 26 11:06:02 2008 reduce to 51129648 relations and 38366659 ideals in 5 passes
Sat Jul 26 11:06:02 2008 max relations containing the same ideal: 20
Sat Jul 26 11:09:19 2008 removing 1379381 relations and 979381 ideals in 400000 cliques
Sat Jul 26 11:09:21 2008 commencing in-memory singleton removal
Sat Jul 26 11:10:00 2008 begin with 49750267 relations and 38366659 unique ideals
Sat Jul 26 11:13:45 2008 reduce to 49726581 relations and 37363420 ideals in 5 passes
Sat Jul 26 11:13:45 2008 max relations containing the same ideal: 20
Sat Jul 26 11:16:53 2008 removing 1363385 relations and 963385 ideals in 400000 cliques
Sat Jul 26 11:17:00 2008 commencing in-memory singleton removal
Sat Jul 26 11:17:30 2008 begin with 48363196 relations and 37363420 unique ideals
Sat Jul 26 11:21:04 2008 reduce to 48339701 relations and 36376361 ideals in 5 passes
Sat Jul 26 11:21:04 2008 max relations containing the same ideal: 20
Sat Jul 26 11:24:20 2008 removing 1344436 relations and 944436 ideals in 400000 cliques
Sat Jul 26 11:24:27 2008 commencing in-memory singleton removal
Sat Jul 26 11:24:56 2008 begin with 46995265 relations and 36376361 unique ideals
Sat Jul 26 11:28:24 2008 reduce to 46970845 relations and 35407292 ideals in 5 passes
Sat Jul 26 11:28:24 2008 max relations containing the same ideal: 20
Sat Jul 26 11:31:22 2008 removing 1328826 relations and 928826 ideals in 400000 cliques
Sat Jul 26 11:31:26 2008 commencing in-memory singleton removal
Sat Jul 26 11:31:57 2008 begin with 45642019 relations and 35407292 unique ideals
Sat Jul 26 11:35:18 2008 reduce to 45616898 relations and 34453139 ideals in 5 passes
Sat Jul 26 11:35:18 2008 max relations containing the same ideal: 20
Sat Jul 26 11:38:10 2008 removing 1310438 relations and 910438 ideals in 400000 cliques
Sat Jul 26 11:38:16 2008 commencing in-memory singleton removal
Sat Jul 26 11:38:48 2008 begin with 44306460 relations and 34453139 unique ideals
Sat Jul 26 11:42:03 2008 reduce to 44279443 relations and 33515437 ideals in 5 passes
Sat Jul 26 11:42:03 2008 max relations containing the same ideal: 20
Sat Jul 26 11:44:59 2008 removing 1304638 relations and 904638 ideals in 400000 cliques
Sat Jul 26 11:45:03 2008 commencing in-memory singleton removal
Sat Jul 26 11:45:30 2008 begin with 42974805 relations and 33515437 unique ideals
Sat Jul 26 11:48:48 2008 reduce to 42948969 relations and 32584723 ideals in 5 passes
Sat Jul 26 11:48:48 2008 max relations containing the same ideal: 20
Sat Jul 26 11:51:38 2008 removing 1296730 relations and 896730 ideals in 400000 cliques
Sat Jul 26 11:51:42 2008 commencing in-memory singleton removal
Sat Jul 26 11:52:10 2008 begin with 41652239 relations and 32584723 unique ideals
Sat Jul 26 11:55:52 2008 reduce to 41627546 relations and 31663062 ideals in 6 passes
Sat Jul 26 11:55:52 2008 max relations containing the same ideal: 20
Sat Jul 26 11:58:25 2008 removing 1282533 relations and 882533 ideals in 400000 cliques
Sat Jul 26 11:58:31 2008 commencing in-memory singleton removal
Sat Jul 26 11:59:02 2008 begin with 40345013 relations and 31663062 unique ideals
Sat Jul 26 12:01:50 2008 reduce to 40319547 relations and 30754799 ideals in 5 passes
Sat Jul 26 12:01:50 2008 max relations containing the same ideal: 20
Sat Jul 26 12:04:20 2008 removing 1272830 relations and 872830 ideals in 400000 cliques
Sat Jul 26 12:04:25 2008 commencing in-memory singleton removal
Sat Jul 26 12:04:51 2008 begin with 39046717 relations and 30754799 unique ideals
Sat Jul 26 12:07:25 2008 reduce to 39019709 relations and 29854711 ideals in 5 passes
Sat Jul 26 12:07:25 2008 max relations containing the same ideal: 20
Sat Jul 26 12:09:53 2008 removing 1279500 relations and 879500 ideals in 400000 cliques
Sat Jul 26 12:09:57 2008 commencing in-memory singleton removal
Sat Jul 26 12:10:24 2008 begin with 37740209 relations and 29854711 unique ideals
Sat Jul 26 12:13:01 2008 reduce to 37713384 relations and 28948100 ideals in 5 passes
Sat Jul 26 12:13:01 2008 max relations containing the same ideal: 20
Sat Jul 26 12:15:22 2008 removing 1269779 relations and 869779 ideals in 400000 cliques
Sat Jul 26 12:15:25 2008 commencing in-memory singleton removal
Sat Jul 26 12:15:52 2008 begin with 36443605 relations and 28948100 unique ideals
Sat Jul 26 12:18:22 2008 reduce to 36415535 relations and 28049951 ideals in 5 passes
Sat Jul 26 12:18:22 2008 max relations containing the same ideal: 20
Sat Jul 26 12:20:34 2008 removing 1265831 relations and 865831 ideals in 400000 cliques
Sat Jul 26 12:20:41 2008 commencing in-memory singleton removal
Sat Jul 26 12:21:03 2008 begin with 35149704 relations and 28049951 unique ideals
Sat Jul 26 12:23:36 2008 reduce to 35120077 relations and 27154184 ideals in 5 passes
Sat Jul 26 12:23:36 2008 max relations containing the same ideal: 19
Sat Jul 26 12:25:42 2008 removing 1264009 relations and 864009 ideals in 400000 cliques
Sat Jul 26 12:25:47 2008 commencing in-memory singleton removal
Sat Jul 26 12:26:07 2008 begin with 33856068 relations and 27154184 unique ideals
Sat Jul 26 12:28:19 2008 reduce to 33825213 relations and 26258950 ideals in 5 passes
Sat Jul 26 12:28:19 2008 max relations containing the same ideal: 19
Sat Jul 26 12:30:24 2008 removing 1263568 relations and 863568 ideals in 400000 cliques
Sat Jul 26 12:30:30 2008 commencing in-memory singleton removal
Sat Jul 26 12:30:50 2008 begin with 32561645 relations and 26258950 unique ideals
Sat Jul 26 12:33:27 2008 reduce to 32528604 relations and 25361941 ideals in 6 passes
Sat Jul 26 12:33:27 2008 max relations containing the same ideal: 19
Sat Jul 26 12:35:29 2008 removing 1267185 relations and 867185 ideals in 400000 cliques
Sat Jul 26 12:35:32 2008 commencing in-memory singleton removal
Sat Jul 26 12:35:57 2008 begin with 31261419 relations and 25361941 unique ideals
Sat Jul 26 12:38:04 2008 reduce to 31226729 relations and 24459635 ideals in 5 passes
Sat Jul 26 12:38:04 2008 max relations containing the same ideal: 19
Sat Jul 26 12:39:57 2008 removing 1269488 relations and 869488 ideals in 400000 cliques
Sat Jul 26 12:39:59 2008 commencing in-memory singleton removal
Sat Jul 26 12:40:20 2008 begin with 29957241 relations and 24459635 unique ideals
Sat Jul 26 12:42:20 2008 reduce to 29920620 relations and 23553044 ideals in 5 passes
Sat Jul 26 12:42:20 2008 max relations containing the same ideal: 19
Sat Jul 26 12:44:14 2008 removing 1273455 relations and 873455 ideals in 400000 cliques
Sat Jul 26 12:44:19 2008 commencing in-memory singleton removal
Sat Jul 26 12:44:39 2008 begin with 28647165 relations and 23553044 unique ideals
Sat Jul 26 12:46:32 2008 reduce to 28607483 relations and 22639378 ideals in 5 passes
Sat Jul 26 12:46:32 2008 max relations containing the same ideal: 18
Sat Jul 26 12:48:11 2008 removing 899556 relations and 638821 ideals in 260735 cliques
Sat Jul 26 12:48:15 2008 commencing in-memory singleton removal
Sat Jul 26 12:48:37 2008 begin with 27707927 relations and 22639378 unique ideals
Sat Jul 26 12:50:51 2008 reduce to 27688336 relations and 21980807 ideals in 6 passes
Sat Jul 26 12:50:51 2008 max relations containing the same ideal: 18
Sat Jul 26 12:52:36 2008 relations with 0 large ideals: 334016
Sat Jul 26 12:52:36 2008 relations with 1 large ideals: 2164573
Sat Jul 26 12:52:36 2008 relations with 2 large ideals: 6127498
Sat Jul 26 12:52:36 2008 relations with 3 large ideals: 8797140
Sat Jul 26 12:52:36 2008 relations with 4 large ideals: 6887811
Sat Jul 26 12:52:36 2008 relations with 5 large ideals: 2899338
Sat Jul 26 12:52:36 2008 relations with 6 large ideals: 444313
Sat Jul 26 12:52:36 2008 relations with 7+ large ideals: 33647
Sat Jul 26 12:52:36 2008 commencing 2-way merge
Sat Jul 26 12:54:41 2008 reduce to 20325138 relation sets and 14617609 unique ideals
Sat Jul 26 12:54:41 2008 commencing full merge
Sat Jul 26 13:16:04 2008 memory use: 1349.0 MB
Sat Jul 26 13:16:08 2008 found 10438891 cycles, need 9651809
Sat Jul 26 13:16:28 2008 weight of 9651809 cycles is about 675724193 (70.01/cycle)
Sat Jul 26 13:16:28 2008 distribution of cycle lengths:
Sat Jul 26 13:16:28 2008 1 relations: 832194
Sat Jul 26 13:16:28 2008 2 relations: 1117515
Sat Jul 26 13:16:28 2008 3 relations: 1298545
Sat Jul 26 13:16:28 2008 4 relations: 1308493
Sat Jul 26 13:16:28 2008 5 relations: 1256695
Sat Jul 26 13:16:28 2008 6 relations: 1109884
Sat Jul 26 13:16:28 2008 7 relations: 934611
Sat Jul 26 13:16:28 2008 8 relations: 742374
Sat Jul 26 13:16:28 2008 9 relations: 560391
Sat Jul 26 13:16:28 2008 10+ relations: 491107
Sat Jul 26 13:16:28 2008 heaviest cycle: 12 relations
Sat Jul 26 13:16:42 2008 commencing cycle optimization
Sat Jul 26 13:19:00 2008 start with 47682172 relations
Sat Jul 26 13:29:35 2008 pruned 945732 relations
Sat Jul 26 13:29:36 2008 memory use: 1582.0 MB
Sat Jul 26 13:29:36 2008 distribution of cycle lengths:
Sat Jul 26 13:29:36 2008 1 relations: 832194
Sat Jul 26 13:29:36 2008 2 relations: 1136779
Sat Jul 26 13:29:36 2008 3 relations: 1340601
Sat Jul 26 13:29:36 2008 4 relations: 1341095
Sat Jul 26 13:29:36 2008 5 relations: 1297436
Sat Jul 26 13:29:36 2008 6 relations: 1133647
Sat Jul 26 13:29:36 2008 7 relations: 948197
Sat Jul 26 13:29:36 2008 8 relations: 728587
Sat Jul 26 13:29:36 2008 9 relations: 515950
Sat Jul 26 13:29:36 2008 10+ relations: 377323
Sat Jul 26 13:29:36 2008 heaviest cycle: 12 relations
Sat Jul 26 13:31:26 2008
Sat Jul 26 13:31:57 2008 commencing linear algebra
Sat Jul 26 13:32:01 2008 read 9651809 cycles
Sat Jul 26 13:39:29 2008 cycles contain 25588607 unique relations
Sat Jul 26 13:45:01 2008 read 25588607 relations
Sat Jul 26 13:50:34 2008 using 32 quadratic characters above 1073739308
Sat Jul 26 13:56:53 2008 building initial matrix
Sat Jul 26 14:45:15 2008 memory use: 3250.7 MB
Sat Jul 26 14:45:43 2008 read 9651809 cycles
Sat Jul 26 14:46:07 2008 matrix is 9651482 x 9651809 (2889.8 MB) with weight 896365967 (92.87/col)
Sat Jul 26 14:46:07 2008 sparse part has weight 651385931 (67.49/col)
Sat Jul 26 15:10:22 2008 filtering completed in 3 passes
Sat Jul 26 15:10:34 2008 matrix is 9634751 x 9634951 (2887.9 MB) with weight 895642222 (92.96/col)
Sat Jul 26 15:10:34 2008 sparse part has weight 651073225 (67.57/col)
Sat Jul 26 15:14:32 2008 read 9634951 cycles
Sat Jul 26 15:14:59 2008 matrix is 9634751 x 9634951 (2887.9 MB) with weight 895642222 (92.96/col)
Sat Jul 26 15:14:59 2008 sparse part has weight 651073225 (67.57/col)
Sat Jul 26 15:15:00 2008 saving the first 48 matrix rows for later
Sat Jul 26 15:15:24 2008 matrix is 9634703 x 9634951 (2762.6 MB) with weight 684038199 (71.00/col)
Sat Jul 26 15:15:26 2008 sparse part has weight 627849882 (65.16/col)
Sat Jul 26 15:15:26 2008 matrix includes 64 packed rows
Sat Jul 26 15:15:26 2008 using block size 65536 for processor cache size 2048 kB
Sat Jul 26 15:17:21 2008 commencing Lanczos iteration
Sat Jul 26 15:17:21 2008 memory use: 2696.6 MB
Sun Jul 27 00:48:39 2008 lanczos halted after 677 iterations (dim = 42783)
Sun Jul 27 00:48:39 2008 elapsed time 30:34:13
Tue Jul 29 09:28:41 2008
Tue Jul 29 09:28:41 2008
Tue Jul 29 09:28:41 2008 Msieve v. 1.36
Tue Jul 29 09:28:41 2008 random seeds: 2fd6ac69 1d8788c8
Tue Jul 29 09:28:41 2008 factoring 28403424180675214853098193865490057014063902497128388709439092464457771134002915643684447027365842305085064624764952215406305213940449664683336683993252753113631311980573532223712991612038027498881491551745039965087318065889563 (227 digits)
Tue Jul 29 09:28:44 2008 no P-1/P+1/ECM available, skipping
Tue Jul 29 09:28:44 2008 commencing number field sieve (227-digit input)
Tue Jul 29 09:28:44 2008 R0: -1
Tue Jul 29 09:28:44 2008 R1: 29098125988731506183153025616435306561536
Tue Jul 29 09:28:44 2008 A0: -6
Tue Jul 29 09:28:44 2008 A1: 0
Tue Jul 29 09:28:44 2008 A2: 0
Tue Jul 29 09:28:44 2008 A3: 0
Tue Jul 29 09:28:44 2008 A4: 0
Tue Jul 29 09:28:44 2008 A5: 0
Tue Jul 29 09:28:44 2008 A6: 1
Tue Jul 29 09:28:44 2008 size score = 1.053811e-11, Murphy alpha = 1.872322, combined = 6.172159e-12
Tue Jul 29 09:28:44 2008
Tue Jul 29 09:28:44 2008 commencing linear algebra
Tue Jul 29 09:28:48 2008 read 9634951 cycles
Tue Jul 29 09:29:07 2008 matrix is 9634751 x 9634951 (2887.9 MB) with weight 895642222 (92.96/col)
Tue Jul 29 09:29:07 2008 sparse part has weight 651073225 (67.57/col)
Tue Jul 29 09:29:09 2008 saving the first 48 matrix rows for later
Tue Jul 29 09:29:28 2008 matrix is 9634703 x 9634951 (2762.6 MB) with weight 684038199 (71.00/col)
Tue Jul 29 09:29:29 2008 sparse part has weight 627849882 (65.16/col)
Tue Jul 29 09:29:29 2008 matrix includes 64 packed rows
Tue Jul 29 09:29:29 2008 using block size 65536 for processor cache size 2048 kB
Tue Jul 29 09:31:19 2008 commencing Lanczos iteration (8 threads)
Tue Jul 29 09:31:19 2008 memory use: 3211.2 MB
Tue Jul 29 09:31:20 2008 restarting at iteration 677 (dim = 42783)
Sun Aug 24 16:16:45 2008 lanczos halted after 152364 iterations (dim = 9634699)
Sun Aug 24 16:17:16 2008 recovered 46 nontrivial dependencies
Sun Aug 24 16:17:18 2008
Sun Aug 24 16:17:18 2008 commencing square root phase
Sun Aug 24 16:17:18 2008 reading relations for dependency 1
Sun Aug 24 16:17:22 2008 read 4817850 cycles
Sun Aug 24 16:18:22 2008 cycles contain 15921915 unique relations
Sun Aug 24 16:25:51 2008 read 15921915 relations
Sun Aug 24 16:38:20 2008 multiplying 23359204 relations
Sun Aug 24 19:34:44 2008 multiply complete, coefficients have about 584.91 million bits
Sun Aug 24 19:35:09 2008 initial square root is modulo 176983
Mon Aug 25 02:28:38 2008 reading relations for dependency 2
Mon Aug 25 02:28:46 2008 read 4816795 cycles
Mon Aug 25 02:31:01 2008 cycles contain 15919162 unique relations
Mon Aug 25 02:35:14 2008 read 15919162 relations
Mon Aug 25 02:49:32 2008 multiplying 23353396 relations
Mon Aug 25 05:48:07 2008 multiply complete, coefficients have about 584.75 million bits
Mon Aug 25 05:48:31 2008 initial square root is modulo 176383
Mon Aug 25 12:44:45 2008 prp79 factor: 1145667266428264694407427870250002852640339971370109925272739002529333927038171
Mon Aug 25 12:44:45 2008 prp149 factor: 24792036058798996101053575307586212409338449264440495523865643056877039547875362959703815546469665515784347437002878676482850656140841397591840911553
Mon Aug 25 12:44:45 2008 elapsed time 651:16:04
[/CODE]

Greg

[QUOTE=frmky;139927]6,313- is done. Here's the log.

Greg[/QUOTE]


Has 7,319- finished sieving?

It's been a long time since we heard an update from Bruce.......

[QUOTE=R.D. Silverman;140193]Has 7,319- finished sieving?

It's been a long time since we heard an update from Bruce.......[/QUOTE]

We are "close". Last week, we were still a bit short and I made a revised estimate of the required sieving area. We have now essentially completed that and I am currently running a duplicate removal pass to determine just how many unique relations we have collected.

[QUOTE=R.D. Silverman;140193]Has 7,319- finished sieving?
[/QUOTE]

7,319- is finished. Here's the log.

Greg

[CODE]Tue Sep 9 15:52:38 2008 Msieve v. 1.36
Tue Sep 9 15:52:38 2008 random seeds: 75b4d1b5 b85a93fa
Tue Sep 9 15:52:38 2008 factoring 10173808376556518582270026956593921944036897106869806403112491623388157312405069011079011650648394763230485451404564741850256261954136244812738943417204650408622254343941143384603779247690186112151714222923900161702262610228996666769 (233 digits)
Tue Sep 9 15:52:41 2008 no P-1/P+1/ECM available, skipping
Tue Sep 9 15:52:41 2008 commencing number field sieve (233-digit input)
Tue Sep 9 15:52:41 2008 R0: -10367793076318844190248738727596255138212949486450
Tue Sep 9 15:52:41 2008 R1: 3219905755813179726837607
Tue Sep 9 15:52:41 2008 A0: 1
Tue Sep 9 15:52:41 2008 A1: 3
Tue Sep 9 15:52:41 2008 A2: -3
Tue Sep 9 15:52:41 2008 A3: -4
Tue Sep 9 15:52:41 2008 A4: 1
Tue Sep 9 15:52:41 2008 A5: 1
Tue Sep 9 15:52:41 2008 size score = 3.117878e-16, Murphy alpha = 2.379130, combined = 1.410733e-16
Tue Sep 9 15:53:43 2008 restarting with 97916426 relations
Tue Sep 9 15:53:43 2008
Tue Sep 9 15:53:43 2008 commencing relation filtering
Tue Sep 9 15:53:43 2008 commencing duplicate removal, pass 1
... errors snipped
Tue Sep 9 16:14:27 2008 found 17087619 hash collisions in 97916338 relations
Tue Sep 9 16:14:27 2008 commencing duplicate removal, pass 2
Tue Sep 9 16:23:36 2008 found 6704241 duplicates and 91212097 unique relations
Tue Sep 9 16:23:36 2008 memory use: 504.8 MB
Tue Sep 9 16:24:08 2008 ignoring smallest 3001346 rational and 3000641 algebraic ideals
Tue Sep 9 16:24:08 2008 filtering rational ideals above 50003968
Tue Sep 9 16:24:08 2008 filtering algebraic ideals above 50003968
Tue Sep 9 16:24:08 2008 need 9002980 more relations than ideals
Tue Sep 9 16:24:08 2008 commencing singleton removal, pass 1
Tue Sep 9 16:45:27 2008 relations with 0 large ideals: 857959
Tue Sep 9 16:45:27 2008 relations with 1 large ideals: 2747463
Tue Sep 9 16:45:27 2008 relations with 2 large ideals: 11541528
Tue Sep 9 16:45:27 2008 relations with 3 large ideals: 26009325
Tue Sep 9 16:45:27 2008 relations with 4 large ideals: 31117655
Tue Sep 9 16:45:27 2008 relations with 5 large ideals: 16611992
Tue Sep 9 16:45:27 2008 relations with 6 large ideals: 2326175
Tue Sep 9 16:45:27 2008 relations with 7+ large ideals: 0
Tue Sep 9 16:45:27 2008 91212097 relations and about 62533352 large ideals
Tue Sep 9 16:45:27 2008 commencing singleton removal, pass 2
Tue Sep 9 17:06:30 2008 found 13970231 singletons
Tue Sep 9 17:06:30 2008 current dataset: 77241866 relations and about 47648045 large ideals
Tue Sep 9 17:06:30 2008 commencing singleton removal, pass 3
Tue Sep 9 17:25:11 2008 relations with 0 large ideals: 857959
Tue Sep 9 17:25:11 2008 relations with 1 large ideals: 2644255
Tue Sep 9 17:25:11 2008 relations with 2 large ideals: 10572145
Tue Sep 9 17:25:11 2008 relations with 3 large ideals: 22597949
Tue Sep 9 17:25:11 2008 relations with 4 large ideals: 25552461
Tue Sep 9 17:25:11 2008 relations with 5 large ideals: 12874959
Tue Sep 9 17:25:11 2008 relations with 6 large ideals: 2142138
Tue Sep 9 17:25:11 2008 relations with 7+ large ideals: 0
Tue Sep 9 17:25:11 2008 77241866 relations and about 59706159 large ideals
Tue Sep 9 17:25:11 2008 commencing singleton removal, pass 4
Tue Sep 9 17:43:42 2008 found 11456773 singletons
Tue Sep 9 17:43:42 2008 current dataset: 65785093 relations and about 47521623 large ideals
Tue Sep 9 17:43:42 2008 commencing singleton removal, pass 5
Tue Sep 9 17:59:45 2008 found 2240654 singletons
Tue Sep 9 17:59:45 2008 current dataset: 63544439 relations and about 45248703 large ideals
Tue Sep 9 17:59:45 2008 commencing singleton removal, pass 6
Tue Sep 9 18:15:17 2008 found 397263 singletons
Tue Sep 9 18:15:17 2008 current dataset: 63147176 relations and about 44850339 large ideals
Tue Sep 9 18:15:17 2008 commencing singleton removal, final pass
Tue Sep 9 18:47:58 2008 memory use: 1308.8 MB
Tue Sep 9 18:47:59 2008 commencing in-memory singleton removal
Tue Sep 9 18:48:32 2008 begin with 63147176 relations and 52009325 unique ideals
Tue Sep 9 18:58:31 2008 reduce to 56939123 relations and 45662626 ideals in 14 passes
Tue Sep 9 18:58:31 2008 max relations containing the same ideal: 31
Tue Sep 9 19:01:49 2008 removing 2956501 relations and 2556501 ideals in 400000 cliques
Tue Sep 9 19:01:54 2008 commencing in-memory singleton removal
Tue Sep 9 19:02:27 2008 begin with 53982622 relations and 45662626 unique ideals
Tue Sep 9 19:07:44 2008 reduce to 53885759 relations and 43008367 ideals in 8 passes
Tue Sep 9 19:07:44 2008 max relations containing the same ideal: 30
Tue Sep 9 19:10:30 2008 removing 2207703 relations and 1807703 ideals in 400000 cliques
Tue Sep 9 19:10:35 2008 commencing in-memory singleton removal
Tue Sep 9 19:11:05 2008 begin with 51678056 relations and 43008367 unique ideals
Tue Sep 9 19:16:15 2008 reduce to 51617010 relations and 41139107 ideals in 8 passes
Tue Sep 9 19:16:15 2008 max relations containing the same ideal: 30
Tue Sep 9 19:19:10 2008 removing 1969978 relations and 1569978 ideals in 400000 cliques
Tue Sep 9 19:19:15 2008 commencing in-memory singleton removal
Tue Sep 9 19:19:40 2008 begin with 49647032 relations and 41139107 unique ideals
Tue Sep 9 19:23:59 2008 reduce to 49594783 relations and 39516494 ideals in 7 passes
Tue Sep 9 19:23:59 2008 max relations containing the same ideal: 30
Tue Sep 9 19:26:44 2008 removing 1835027 relations and 1435027 ideals in 400000 cliques
Tue Sep 9 19:26:48 2008 commencing in-memory singleton removal
Tue Sep 9 19:27:15 2008 begin with 47759756 relations and 39516494 unique ideals
Tue Sep 9 19:30:35 2008 reduce to 47711520 relations and 38032816 ideals in 6 passes
Tue Sep 9 19:30:35 2008 max relations containing the same ideal: 30
Tue Sep 9 19:32:57 2008 removing 1743934 relations and 1343934 ideals in 400000 cliques
Tue Sep 9 19:33:00 2008 commencing in-memory singleton removal
Tue Sep 9 19:33:20 2008 begin with 45967586 relations and 38032816 unique ideals
Tue Sep 9 19:36:29 2008 reduce to 45921644 relations and 36642570 ideals in 6 passes
Tue Sep 9 19:36:29 2008 max relations containing the same ideal: 30
Tue Sep 9 19:38:38 2008 removing 1214938 relations and 938845 ideals in 276093 cliques
Tue Sep 9 19:38:41 2008 commencing in-memory singleton removal
Tue Sep 9 19:39:07 2008 begin with 44706706 relations and 36642570 unique ideals
Tue Sep 9 19:42:00 2008 reduce to 44683173 relations and 35680055 ideals in 6 passes
Tue Sep 9 19:42:00 2008 max relations containing the same ideal: 30
Tue Sep 9 19:44:18 2008 filtering rational ideals above 720000
Tue Sep 9 19:44:18 2008 filtering algebraic ideals above 720000
Tue Sep 9 19:44:18 2008 need 116085 more relations than ideals
Tue Sep 9 19:44:18 2008 commencing singleton removal, final pass
Tue Sep 9 21:28:44 2008 keeping 47716093 ideals with weight <= 20, new excess is 3948521
Tue Sep 9 21:33:11 2008 memory use: 1857.6 MB
Tue Sep 9 21:33:13 2008 commencing in-memory singleton removal
Tue Sep 9 21:33:49 2008 begin with 56939127 relations and 47716093 unique ideals
Tue Sep 9 21:35:26 2008 reduce to 56939119 relations and 47716085 ideals in 2 passes
Tue Sep 9 21:35:26 2008 max relations containing the same ideal: 20
Tue Sep 9 21:39:07 2008 removing 2956568 relations and 2556568 ideals in 400000 cliques
Tue Sep 9 21:39:17 2008 commencing in-memory singleton removal
Tue Sep 9 21:39:46 2008 begin with 53982551 relations and 47716085 unique ideals
Tue Sep 9 21:45:54 2008 reduce to 53885712 relations and 45061782 ideals in 8 passes
Tue Sep 9 21:45:54 2008 max relations containing the same ideal: 20
Tue Sep 9 21:49:17 2008 removing 2207771 relations and 1807771 ideals in 400000 cliques
Tue Sep 9 21:49:23 2008 commencing in-memory singleton removal
Tue Sep 9 21:49:53 2008 begin with 51677941 relations and 45061782 unique ideals
Tue Sep 9 21:55:55 2008 reduce to 51616977 relations and 43192530 ideals in 8 passes
Tue Sep 9 21:55:55 2008 max relations containing the same ideal: 20
Tue Sep 9 21:59:13 2008 removing 1970120 relations and 1570120 ideals in 400000 cliques
Tue Sep 9 21:59:18 2008 commencing in-memory singleton removal
Tue Sep 9 21:59:45 2008 begin with 49646857 relations and 43192530 unique ideals
Tue Sep 9 22:04:35 2008 reduce to 49594620 relations and 41569788 ideals in 7 passes
Tue Sep 9 22:04:35 2008 max relations containing the same ideal: 20
Tue Sep 9 22:07:43 2008 removing 1835311 relations and 1435311 ideals in 400000 cliques
Tue Sep 9 22:07:48 2008 commencing in-memory singleton removal
Tue Sep 9 22:08:20 2008 begin with 47759309 relations and 41569788 unique ideals
Tue Sep 9 22:12:20 2008 reduce to 47711071 relations and 40085831 ideals in 6 passes
Tue Sep 9 22:12:20 2008 max relations containing the same ideal: 20
Tue Sep 9 22:15:27 2008 removing 1743763 relations and 1343763 ideals in 400000 cliques
Tue Sep 9 22:15:36 2008 commencing in-memory singleton removal
Tue Sep 9 22:16:02 2008 begin with 45967308 relations and 40085831 unique ideals
Tue Sep 9 22:19:20 2008 reduce to 45921312 relations and 38695701 ideals in 6 passes
Tue Sep 9 22:19:20 2008 max relations containing the same ideal: 20
Tue Sep 9 22:21:54 2008 removing 1682096 relations and 1282096 ideals in 400000 cliques
Tue Sep 9 22:21:58 2008 commencing in-memory singleton removal
Tue Sep 9 22:22:23 2008 begin with 44239216 relations and 38695701 unique ideals
Tue Sep 9 22:25:45 2008 reduce to 44194181 relations and 37368201 ideals in 6 passes
Tue Sep 9 22:25:45 2008 max relations containing the same ideal: 20
Tue Sep 9 22:28:13 2008 removing 1638455 relations and 1238455 ideals in 400000 cliques
Tue Sep 9 22:28:17 2008 commencing in-memory singleton removal
Tue Sep 9 22:28:39 2008 begin with 42555726 relations and 37368201 unique ideals
Tue Sep 9 22:31:48 2008 reduce to 42511485 relations and 36085188 ideals in 6 passes
Tue Sep 9 22:31:48 2008 max relations containing the same ideal: 20
Tue Sep 9 22:34:08 2008 removing 1598684 relations and 1198684 ideals in 400000 cliques
Tue Sep 9 22:34:16 2008 commencing in-memory singleton removal
Tue Sep 9 22:34:41 2008 begin with 40912801 relations and 36085188 unique ideals
Tue Sep 9 22:37:35 2008 reduce to 40867645 relations and 34840961 ideals in 6 passes
Tue Sep 9 22:37:35 2008 max relations containing the same ideal: 20
Tue Sep 9 22:39:51 2008 removing 1571904 relations and 1171904 ideals in 400000 cliques
Tue Sep 9 22:39:54 2008 commencing in-memory singleton removal
Tue Sep 9 22:40:14 2008 begin with 39295741 relations and 34840961 unique ideals
Tue Sep 9 22:42:42 2008 reduce to 39250078 relations and 33622968 ideals in 5 passes
Tue Sep 9 22:42:42 2008 max relations containing the same ideal: 20
Tue Sep 9 22:44:54 2008 removing 1548546 relations and 1148546 ideals in 400000 cliques
Tue Sep 9 22:44:57 2008 commencing in-memory singleton removal
Tue Sep 9 22:45:21 2008 begin with 37701532 relations and 33622968 unique ideals
Tue Sep 9 22:47:37 2008 reduce to 37653936 relations and 32426385 ideals in 5 passes
Tue Sep 9 22:47:37 2008 max relations containing the same ideal: 20
Tue Sep 9 22:49:48 2008 removing 1535115 relations and 1135115 ideals in 400000 cliques
Tue Sep 9 22:49:52 2008 commencing in-memory singleton removal
Tue Sep 9 22:50:11 2008 begin with 36118821 relations and 32426385 unique ideals
Tue Sep 9 22:52:57 2008 reduce to 36068709 relations and 31240642 ideals in 6 passes
Tue Sep 9 22:52:57 2008 max relations containing the same ideal: 20
Tue Sep 9 22:54:55 2008 removing 1029040 relations and 781258 ideals in 247782 cliques
Tue Sep 9 22:54:58 2008 commencing in-memory singleton removal
Tue Sep 9 22:55:17 2008 begin with 35039669 relations and 31240642 unique ideals
Tue Sep 9 22:57:50 2008 reduce to 35017605 relations and 30437178 ideals in 6 passes
Tue Sep 9 22:57:50 2008 max relations containing the same ideal: 20
Tue Sep 9 22:59:56 2008 relations with 0 large ideals: 338767
Tue Sep 9 22:59:56 2008 relations with 1 large ideals: 1142670
Tue Sep 9 22:59:56 2008 relations with 2 large ideals: 4504303
Tue Sep 9 22:59:56 2008 relations with 3 large ideals: 9317597
Tue Sep 9 22:59:56 2008 relations with 4 large ideals: 10571464
Tue Sep 9 22:59:56 2008 relations with 5 large ideals: 6390209
Tue Sep 9 22:59:56 2008 relations with 6 large ideals: 2520273
Tue Sep 9 22:59:56 2008 relations with 7+ large ideals: 232322
Tue Sep 9 22:59:56 2008 commencing 2-way merge
Tue Sep 9 23:02:18 2008 reduce to 25263457 relation sets and 20683030 unique ideals
Tue Sep 9 23:02:18 2008 commencing full merge
Tue Sep 9 23:32:21 2008 memory use: 1973.0 MB
Tue Sep 9 23:32:22 2008 found 12744216 cycles, need 12113230
Tue Sep 9 23:32:44 2008 weight of 12113230 cycles is about 848010206 (70.01/cycle)
Tue Sep 9 23:32:44 2008 distribution of cycle lengths:
Tue Sep 9 23:32:44 2008 1 relations: 1175513
Tue Sep 9 23:32:44 2008 2 relations: 1435134
Tue Sep 9 23:32:44 2008 3 relations: 1569960
Tue Sep 9 23:32:44 2008 4 relations: 1489794
Tue Sep 9 23:32:44 2008 5 relations: 1370197
Tue Sep 9 23:32:44 2008 6 relations: 1193925
Tue Sep 9 23:32:44 2008 7 relations: 1021015
Tue Sep 9 23:32:44 2008 8 relations: 848044
Tue Sep 9 23:32:44 2008 9 relations: 683417
Tue Sep 9 23:32:44 2008 10+ relations: 1326231
Tue Sep 9 23:32:44 2008 heaviest cycle: 18 relations
Tue Sep 9 23:32:59 2008 commencing cycle optimization
Tue Sep 9 23:35:28 2008 start with 63404283 relations
Wed Sep 10 00:03:10 2008 pruned 1038319 relations
Wed Sep 10 00:03:16 2008 memory use: 2053.1 MB
Wed Sep 10 00:03:17 2008 distribution of cycle lengths:
Wed Sep 10 00:03:17 2008 1 relations: 1175513
Wed Sep 10 00:03:17 2008 2 relations: 1452316
Wed Sep 10 00:03:17 2008 3 relations: 1606890
Wed Sep 10 00:03:17 2008 4 relations: 1514710
Wed Sep 10 00:03:17 2008 5 relations: 1400323
Wed Sep 10 00:03:17 2008 6 relations: 1211112
Wed Sep 10 00:03:17 2008 7 relations: 1033609
Wed Sep 10 00:03:17 2008 8 relations: 849583
Wed Sep 10 00:03:17 2008 9 relations: 677703
Wed Sep 10 00:03:17 2008 10+ relations: 1191471
Wed Sep 10 00:03:17 2008 heaviest cycle: 18 relations
Wed Sep 10 00:05:46 2008
Wed Sep 10 00:06:27 2008 commencing linear algebra
Wed Sep 10 00:06:33 2008 read 12113230 cycles
Wed Sep 10 00:17:36 2008 cycles contain 33003730 unique relations
Wed Sep 10 00:25:13 2008 read 33003730 relations
Wed Sep 10 00:31:53 2008 using 32 quadratic characters above 1073741790
Wed Sep 10 00:39:57 2008 building initial matrix
Wed Sep 10 01:33:44 2008 memory use: 4206.2 MB
Wed Sep 10 01:34:12 2008 read 12113230 cycles
Wed Sep 10 01:34:43 2008 matrix is 12112947 x 12113230 (3660.8 MB) with weight 1131289777 (93.39/col)
Wed Sep 10 01:34:43 2008 sparse part has weight 826416185 (68.22/col)
Wed Sep 10 02:00:44 2008 filtering completed in 3 passes
Wed Sep 10 02:00:56 2008 matrix is 12088414 x 12088614 (3658.2 MB) with weight 1130268637 (93.50/col)
Wed Sep 10 02:00:56 2008 sparse part has weight 825992156 (68.33/col)
Wed Sep 10 02:05:38 2008 read 12088614 cycles
Wed Sep 10 02:06:13 2008 matrix is 12088414 x 12088614 (3658.2 MB) with weight 1130268637 (93.50/col)
Wed Sep 10 02:06:13 2008 sparse part has weight 825992156 (68.33/col)
Wed Sep 10 02:06:15 2008 saving the first 48 matrix rows for later
Wed Sep 10 02:06:44 2008 matrix is 12088366 x 12088614 (3517.9 MB) with weight 876109303 (72.47/col)
Wed Sep 10 02:06:45 2008 sparse part has weight 801314984 (66.29/col)
Wed Sep 10 02:06:45 2008 matrix includes 64 packed rows
Wed Sep 10 02:06:45 2008 using block size 65536 for processor cache size 2048 kB
Wed Sep 10 02:09:09 2008 commencing Lanczos iteration (8 threads)
Wed Sep 10 02:09:09 2008 memory use: 4091.4 MB
Sun Oct 12 09:06:08 2008 lanczos halted after 191167 iterations (dim = 12088364)
Sun Oct 12 09:06:44 2008 recovered 46 nontrivial dependencies
Sun Oct 12 09:06:44 2008
Sun Oct 12 09:06:44 2008 commencing square root phase
Sun Oct 12 09:06:44 2008 reading relations for dependency 1
Sun Oct 12 09:06:50 2008 read 6041156 cycles
Sun Oct 12 09:08:24 2008 cycles contain 20666318 unique relations
Sun Oct 12 09:14:28 2008 read 20666318 relations
Sun Oct 12 09:23:31 2008 multiplying 31152638 relations
Sun Oct 12 10:58:34 2008 multiply complete, coefficients have about 791.54 million bits
Sun Oct 12 10:59:14 2008 initial square root is modulo 12627809

Restart using 1.38 for the square roots ...

Sun Oct 12 11:43:41 2008 Msieve v. 1.38
Sun Oct 12 11:43:41 2008 random seeds: 65e50a44 72c7d18e
Sun Oct 12 11:43:41 2008 factoring 10173808376556518582270026956593921944036897106869806403112491623388157312405069011079011650648394763230485451404564741850256261954136244812738943417204650408622254343941143384603779247690186112151714222923900161702262610228996666769 (233 digits)
Sun Oct 12 11:43:44 2008 no P-1/P+1/ECM available, skipping
Sun Oct 12 11:43:44 2008 commencing number field sieve (233-digit input)
Sun Oct 12 11:43:44 2008 R0: -10367793076318844190248738727596255138212949486450
Sun Oct 12 11:43:44 2008 R1: 3219905755813179726837607
Sun Oct 12 11:43:44 2008 A0: 1
Sun Oct 12 11:43:44 2008 A1: 3
Sun Oct 12 11:43:44 2008 A2: -3
Sun Oct 12 11:43:44 2008 A3: -4
Sun Oct 12 11:43:44 2008 A4: 1
Sun Oct 12 11:43:44 2008 A5: 1
Sun Oct 12 11:43:44 2008 size score = 3.117878e-16, Murphy alpha = 2.379130, combined = 1.410733e-16
Sun Oct 12 11:43:44 2008
Sun Oct 12 11:43:44 2008 commencing square root phase
Sun Oct 12 11:43:44 2008 reading relations for dependency 1
Sun Oct 12 11:43:47 2008 read 6041156 cycles
Sun Oct 12 11:45:21 2008 cycles contain 20666318 unique relations
Sun Oct 12 11:50:28 2008 read 20666318 relations
Sun Oct 12 11:57:33 2008 multiplying 16491448 relations
Sun Oct 12 12:41:59 2008 multiply complete, coefficients have about 420.46 million bits
Sun Oct 12 12:42:20 2008 initial square root is modulo 35029801
Sun Oct 12 14:08:19 2008 reading relations for dependency 2
Sun Oct 12 14:08:22 2008 read 6041758 cycles
Sun Oct 12 14:09:55 2008 cycles contain 20664745 unique relations
Sun Oct 12 14:14:51 2008 read 20664745 relations
Sun Oct 12 14:21:52 2008 multiplying 16488020 relations
Sun Oct 12 15:05:51 2008 multiply complete, coefficients have about 420.37 million bits
Sun Oct 12 15:06:10 2008 initial square root is modulo 34896647
Sun Oct 12 16:30:56 2008 reading relations for dependency 3
Sun Oct 12 16:30:59 2008 read 6042146 cycles
Sun Oct 12 16:32:32 2008 cycles contain 20667782 unique relations
Sun Oct 12 16:37:27 2008 read 20667782 relations
Sun Oct 12 16:44:27 2008 multiplying 16492348 relations
Sun Oct 12 17:28:25 2008 multiply complete, coefficients have about 420.48 million bits
Sun Oct 12 17:28:46 2008 initial square root is modulo 35059183
Sun Oct 12 18:53:20 2008 reading relations for dependency 4
Sun Oct 12 18:53:23 2008 read 6045334 cycles
Sun Oct 12 18:54:56 2008 cycles contain 20673938 unique relations
Sun Oct 12 18:59:51 2008 read 20673938 relations
Sun Oct 12 19:06:53 2008 multiplying 16498332 relations
Sun Oct 12 19:50:49 2008 multiply complete, coefficients have about 420.63 million bits
Sun Oct 12 19:51:09 2008 initial square root is modulo 35281039
Sun Oct 12 21:14:58 2008 prp84 factor: 204227297293529257125127118080380016745365752943272818676346275973633953383050572371
Sun Oct 12 21:14:58 2008 prp149 factor: 49816104464889600168498799876025423000639222348836838087025328103613320809499431829645715371925884715984495732591189132255294855389354224164481123339
Sun Oct 12 21:14:58 2008 elapsed time 09:31:17[/CODE]

[QUOTE=frmky;145233]

<snip>
[/QUOTE]


Just as an aside, why in hell does "Raman" have 3 numbers
reserved??? Given his resources, he should not be allowed to have
more than one number reserved at a time.

Actually, I would prefer it if he were ignored entirely and his "contributions"
not even acknowledged.

Despite his having 6,343- reserved, I am thinking about doing it next.
He is going to take forever just to finish 10,375-.

[QUOTE=R.D. Silverman;146135]Actually, I would prefer it if he were ignored entirely and his "contributions" not even acknowledged.[/QUOTE]Neither of us ar Christians, afaik, but I suspect both of us have heard an aphorism about repentant sinners.

Give the guy some credit.

Paul

P.S. Reserving 3 numbers is undoubtedly excessive, IMO.

[quote=R.D. Silverman;146135]
Just as an aside, why in hell does "Raman" have 3 numbers
reserved??? Given his resources, he should not be allowed to have
more than one number reserved at a time.

Actually, I would prefer it if he were ignored entirely and his "contributions"
not even acknowledged.

Despite his having 6,343- reserved, I am thinking about doing it next.
He is going to take forever just to finish 10,375-.
[/quote]

10,375- is 75% sieved and will take about one more month. I am about 20% sieved with 6,343- on my laptop, though I didn't start up with 6,343+. May be you can take up so with 6,343+.

Note that: I have Core 2 Quad which is fast enough to finish 10,375- in just two months, given that the mfbr and mfba values set up to twice lpbr and lpba respectively. Despite of frequent power failures is the cause of the delay.

PS: I can accelerate the sieve with one or two more Core 2 Duos.

[quote=Raman;146141]
10,375- is 75% sieved and will take about one more month. I am about 20% sieved with 6,343- on my laptop, though I didn't start up with 6,343+. May be you can take up so with 6,343+.

Note that: I have Core 2 Quad which is fast enough to finish 10,375- in just two months, given that the mfbr and mfba values set up to twice lpbr and lpba respectively. Despite of frequent power failures is the cause of the delay.

PS: I can accelerate the sieve with one or two more Core 2 Duos.
[/quote]

Or shall I stop my contributions to the Cunningham Project with 10,375-?

I will come back a couple of years later, after being rich in resources and becoming mentally strong :smile:
(I have taken so a strong hold of one of the lecturers in my college, who is keeping me
mentally strong, which is certainly the background needed so to achieve anything. I spend more
time interacting with this person, and so give less attention to the Cunningham Project these days.)

PS: My laptop is not tolerating the enough amount of heat needed so to sieve so for 6,343-.

[QUOTE=xilman;146140]Neither of us ar Christians, afaik, but I suspect both of us have heard an aphorism about repentant sinners.

Give the guy some credit.
.[/QUOTE]

Reasonable. But he is still on my ignore list.

2,1598M
 

I have the last 800-bit 2-base number (GNFS) and should be in time to finish for the page to close. What is the usual closure - quarterly, triannually, or when the page is full?

Poly is reasonable, sieving is in progress.

--Serge

[QUOTE=Batalov;146163]I have the last 800-bit 2-base number (GNFS) and should be in time to finish for the page to close. What is the usual closure - quarterly, triannually, or when the page is full?

Poly is reasonable, sieving is in progress.

--Serge[/QUOTE]

When full.

I am about 37% done with the LA for 10,247+ and 2,836+ is sieving.

10,375- is approaching completion
 

[quote=R.D. Silverman;146135]
Just as an aside, why in hell does "Raman" have 3 numbers
reserved??? Given his resources, he should not be allowed to have
more than one number reserved at a time.

Actually, I would prefer it if he were ignored entirely and his "contributions"
not even acknowledged.

Despite his having 6,343- reserved, I am thinking about doing it next.
He is going to take forever just to finish 10,375-.
[/quote]

I have almost sieved for 10,375-. In 10 days, I will have enough to build a matrix. (Although I have absolutely no idea about the size of the matrix).

Under reliable power conditions (during winter), sieving for 6,343- and 6,343+ will not take more than 2 months each, on my Core 2 Quad. I sieve about 1.2 million special-q per day on all 4 cores.

:smile: :smile: :smile: :smile: :smile:

Don't feel bad.

[QUOTE=Raman;149121]I sieve about 1.2 million special-q per day on all 4 cores.

[/QUOTE]

Yet another impossible/unbelievable claim from a crank.

My siever processes a single special q for 2, 836+ on each core of my
2-core 2.4Ghz laptop in about 9.6 seconds. This is 9000 special q per day
per core.

With 4 cores, it is 36000 per day.

You claim your siever is 33 times faster? Ridiculous.

Further, it will only take 5 to 6 million special-q's to completely sieve
your numbers. Hence, your factorizations should only take 5 days each.

[QUOTE=R.D. Silverman;149138]Yet another impossible/unbelievable claim from a crank.[/QUOTE]Yet another misunderstanding of a commonly made simplification. One which I've used on occasion when the meaning is clear and one which I've heard from other active users of NFS.

Raman almost certainly means "the special-q which lie in a range of 1.2 million". One prime in 33 is a reasonable figure for the density of special-q in a "typical" sieving region.

Ok, his statement wasn't precise but I think you should have been able to work out what he meant without any difficulty and could have been rather more polite in drawing his attention to the possibility of his statement misleading others.


Paul

[QUOTE=xilman;149140]Yet another misunderstanding of a commonly made simplification. One which I've used on occasion when the meaning is clear and one which I've heard from other active users of NFS.

Raman almost certainly means "the special-q which lie in a range of 1.2 million". One prime in 33 is a reasonable figure for the density of special-q in a "typical" sieving region.

Ok, his statement wasn't precise but I think you should have been able to work out what he meant without any difficulty and could have been rather more polite in drawing his attention to the possibility of his statement misleading others.


Paul[/QUOTE]

Once again:

It is not the duty of a reader to "work out" what is meant.
When one makes a mathematical statement in a public forum, it is the
obligation of the author to clearly state what is meant.

There is a big difference between

1.2 million special q

and

special q in a range of length 1.2 million.

I assume that if one means the latter, then one will write the latter and
not the former. I assume that people mean what they say (or write).
To me, [b]not[/b] to do so is disrespectful. It would mean that either the
person is too stupid to accurately convey his meaning *or* that he is
too lazy and sloppy to be bothered. Either assumption is an insult.

[QUOTE=R.D. Silverman;149295]Once again:

It is not the duty of a reader to "work out" what is meant. When one makes a mathematical statement in a public forum, it is the obligation of the author to clearly state what is meant.

There is a big difference between

1.2 million special q

and

special q in a range of length 1.2 million.

I assume that if one means the latter, then one will write the latter and not the former. I assume that people mean what they say (or write). To me, [b]not[/b] to do so is disrespectful. It would mean that either the person is too stupid to accurately convey his meaning *or* that he is too lazy and sloppy to be bothered. Either assumption is an insult.[/QUOTE]

I disagree with you Bob. Raman's might not be fluent enough in English (if it isn't his native tongue). All of us have seen bad translations, some of them quite humorous. It is possible (I don't know if he is fluent in English or what his native tongue is) that it makes sense to him when he translates back into his native tongue, but doesn't make sense to us.

Also, this is a public forum of which math is only one part of, not a journal subject to peer review or a private math forum. IMO, the proper response would have been to ask Raman to clarify his statement because it was confusing. Instead you immediately attack him as a crank. Granted there are some people on this forum who write rather incredulous or just plain stupid things on a frequent basis. I'm certain that they rank high on your crank-o-meter. I haven't put Raman is in that category.

[QUOTE=rogue;149302]I disagree with you Bob. Raman's might not be fluent enough in English (if it isn't his native tongue). All of us have seen bad translations, some of them quite humorous. It is possible (I don't know if he is fluent in English or what his native tongue is) that it makes sense to him when he translates back into his native tongue, but doesn't make sense to us.

Also, this is a public forum of which math is only one part of, not a journal subject to peer review or a private math forum. IMO, the proper response would have been to ask Raman to clarify his statement because it was confusing. Instead you immediately attack him as a crank. Granted there are some people on this forum who write rather incredulous or just plain stupid things on a frequent basis. I'm certain that they rank high on your crank-o-meter. I haven't put Raman is in that category.[/QUOTE]

I assume that you weren't the victim of many months of daily mail bombs
from Raman; hundreds of junk mails per day containing total gibberish.....

Have you read his prior efforts on this forum??????

Peut etre vous voudrais parler en francais?

10,287- is done. Here's the log:

[CODE]Mon Nov 10 21:44:01 2008 Msieve v. 1.38
Mon Nov 10 21:44:01 2008 random seeds: 8f4b6e77 241acd48
Mon Nov 10 21:44:01 2008 factoring 20126044953446465498628017355429781454947611138799299869415474428303759336392201057473088367031192277123721763741349447238767164079624055237241609803442136356461466722803384508668805269754642914396850180213735249 (212 digits)
Mon Nov 10 21:44:04 2008 no P-1/P+1/ECM available, skipping
Mon Nov 10 21:44:04 2008 commencing number field sieve (212-digit input)
Mon Nov 10 21:44:04 2008 R0: -100000000000000000000000000000000000000000
Mon Nov 10 21:44:04 2008 R1: 1
Mon Nov 10 21:44:04 2008 A0: 1
Mon Nov 10 21:44:04 2008 A1: 1
Mon Nov 10 21:44:04 2008 A2: 1
Mon Nov 10 21:44:04 2008 A3: 1
Mon Nov 10 21:44:04 2008 A4: 1
Mon Nov 10 21:44:04 2008 A5: 1
Mon Nov 10 21:44:04 2008 A6: 1
Mon Nov 10 21:44:04 2008 size score = 8.842478e-12, Murphy alpha = 2.427706, combined = 4.419103e-12
Mon Nov 10 21:44:04 2008
Mon Nov 10 21:44:04 2008 commencing relation filtering
Mon Nov 10 21:44:04 2008 commencing duplicate removal, pass 1
... relation errors snipped ...
Mon Nov 10 22:03:22 2008 found 13194370 hash collisions in 91907293 relations
Mon Nov 10 22:03:22 2008 commencing duplicate removal, pass 2
Mon Nov 10 22:06:41 2008 found 1017462 duplicates and 90889831 unique relations
Mon Nov 10 22:06:41 2008 memory use: 504.8 MB
Mon Nov 10 22:06:41 2008 reading rational ideals above 50003968
Mon Nov 10 22:06:41 2008 reading algebraic ideals above 50003968
Mon Nov 10 22:06:41 2008 commencing singleton removal, pass 1
Mon Nov 10 22:26:48 2008 relations with 0 large ideals: 873143
Mon Nov 10 22:26:48 2008 relations with 1 large ideals: 3379758
Mon Nov 10 22:26:48 2008 relations with 2 large ideals: 12876690
Mon Nov 10 22:26:48 2008 relations with 3 large ideals: 26772739
Mon Nov 10 22:26:48 2008 relations with 4 large ideals: 29583128
Mon Nov 10 22:26:48 2008 relations with 5 large ideals: 14987883
Mon Nov 10 22:26:48 2008 relations with 6 large ideals: 448108
Mon Nov 10 22:26:48 2008 relations with 7+ large ideals: 1968382
Mon Nov 10 22:26:48 2008 90889831 relations and about 62412552 large ideals
Mon Nov 10 22:26:48 2008 commencing singleton removal, pass 2
Mon Nov 10 22:46:55 2008 found 14403513 singletons
Mon Nov 10 22:46:55 2008 current dataset: 76486318 relations and about 47022077 large ideals
Mon Nov 10 22:46:55 2008 commencing singleton removal, pass 3
Mon Nov 10 23:04:25 2008 relations with 0 large ideals: 873143
Mon Nov 10 23:04:25 2008 relations with 1 large ideals: 3218924
Mon Nov 10 23:04:25 2008 relations with 2 large ideals: 11639352
Mon Nov 10 23:04:25 2008 relations with 3 large ideals: 22965625
Mon Nov 10 23:04:25 2008 relations with 4 large ideals: 24008263
Mon Nov 10 23:04:25 2008 relations with 5 large ideals: 11515062
Mon Nov 10 23:04:25 2008 relations with 6 large ideals: 341885
Mon Nov 10 23:04:25 2008 relations with 7+ large ideals: 1924064
Mon Nov 10 23:04:25 2008 76486318 relations and about 59049760 large ideals
Mon Nov 10 23:04:25 2008 commencing singleton removal, pass 4
Mon Nov 10 23:21:55 2008 found 11860075 singletons
Mon Nov 10 23:21:55 2008 current dataset: 64626243 relations and about 46394911 large ideals
Mon Nov 10 23:21:55 2008 commencing singleton removal, pass 5
Mon Nov 10 23:37:07 2008 found 2397232 singletons
Mon Nov 10 23:37:07 2008 current dataset: 62229011 relations and about 43959616 large ideals
Mon Nov 10 23:37:07 2008 commencing singleton removal, pass 6
Mon Nov 10 23:51:48 2008 found 435595 singletons
Mon Nov 10 23:51:48 2008 current dataset: 61793416 relations and about 43522630 large ideals
Mon Nov 10 23:51:49 2008 commencing singleton removal, final pass
Tue Nov 11 00:18:52 2008 memory use: 1269.9 MB
Tue Nov 11 00:18:52 2008 commencing in-memory singleton removal
Tue Nov 11 00:19:07 2008 begin with 61793416 relations and 50482201 unique ideals
Tue Nov 11 00:24:05 2008 reduce to 55396388 relations and 43935663 ideals in 16 passes
Tue Nov 11 00:24:05 2008 max relations containing the same ideal: 30
Tue Nov 11 00:24:24 2008 reading rational ideals above 720000
Tue Nov 11 00:24:24 2008 reading algebraic ideals above 720000
Tue Nov 11 00:24:24 2008 commencing singleton removal, final pass
Tue Nov 11 01:18:12 2008 keeping 46141288 ideals with weight <= 20, new excess is 3796548
Tue Nov 11 01:20:21 2008 memory use: 1851.0 MB
Tue Nov 11 01:20:21 2008 commencing in-memory singleton removal
Tue Nov 11 01:20:36 2008 begin with 55396461 relations and 46141288 unique ideals
Tue Nov 11 01:21:39 2008 reduce to 55396428 relations and 46141245 ideals in 3 passes
Tue Nov 11 01:21:39 2008 max relations containing the same ideal: 20
Tue Nov 11 01:23:14 2008 removing 2947481 relations and 2547481 ideals in 400000 cliques
Tue Nov 11 01:23:19 2008 commencing in-memory singleton removal
Tue Nov 11 01:23:36 2008 begin with 52448947 relations and 46141245 unique ideals
Tue Nov 11 01:25:51 2008 reduce to 52365553 relations and 43509601 ideals in 7 passes
Tue Nov 11 01:25:51 2008 max relations containing the same ideal: 20
Tue Nov 11 01:27:21 2008 removing 2182039 relations and 1782039 ideals in 400000 cliques
Tue Nov 11 01:27:26 2008 commencing in-memory singleton removal
Tue Nov 11 01:27:39 2008 begin with 50183514 relations and 43509601 unique ideals
Tue Nov 11 01:29:33 2008 reduce to 50131107 relations and 41674734 ideals in 6 passes
Tue Nov 11 01:29:33 2008 max relations containing the same ideal: 20
Tue Nov 11 01:30:58 2008 removing 1937709 relations and 1537709 ideals in 400000 cliques
Tue Nov 11 01:31:03 2008 commencing in-memory singleton removal
Tue Nov 11 01:31:15 2008 begin with 48193398 relations and 41674734 unique ideals
Tue Nov 11 01:33:22 2008 reduce to 48148281 relations and 40091558 ideals in 7 passes
Tue Nov 11 01:33:22 2008 max relations containing the same ideal: 20
Tue Nov 11 01:34:43 2008 removing 1794226 relations and 1394226 ideals in 400000 cliques
Tue Nov 11 01:34:46 2008 commencing in-memory singleton removal
Tue Nov 11 01:34:59 2008 begin with 46354055 relations and 40091558 unique ideals
Tue Nov 11 01:36:44 2008 reduce to 46311786 relations and 38654726 ideals in 6 passes
Tue Nov 11 01:36:44 2008 max relations containing the same ideal: 20
Tue Nov 11 01:38:02 2008 removing 1703623 relations and 1303623 ideals in 400000 cliques
Tue Nov 11 01:38:06 2008 commencing in-memory singleton removal
Tue Nov 11 01:38:18 2008 begin with 44608163 relations and 38654726 unique ideals
Tue Nov 11 01:39:56 2008 reduce to 44567089 relations and 37309709 ideals in 6 passes
Tue Nov 11 01:39:56 2008 max relations containing the same ideal: 20
Tue Nov 11 01:41:11 2008 removing 1639485 relations and 1239485 ideals in 400000 cliques
Tue Nov 11 01:41:14 2008 commencing in-memory singleton removal
Tue Nov 11 01:41:27 2008 begin with 42927604 relations and 37309709 unique ideals
Tue Nov 11 01:43:01 2008 reduce to 42887160 relations and 36029452 ideals in 6 passes
Tue Nov 11 01:43:01 2008 max relations containing the same ideal: 20
Tue Nov 11 01:44:13 2008 removing 1590353 relations and 1190353 ideals in 400000 cliques
Tue Nov 11 01:44:15 2008 commencing in-memory singleton removal
Tue Nov 11 01:44:27 2008 begin with 41296807 relations and 36029452 unique ideals
Tue Nov 11 01:45:58 2008 reduce to 41257865 relations and 34799805 ideals in 6 passes
Tue Nov 11 01:45:58 2008 max relations containing the same ideal: 20
Tue Nov 11 01:47:08 2008 removing 1546307 relations and 1146307 ideals in 400000 cliques
Tue Nov 11 01:47:10 2008 commencing in-memory singleton removal
Tue Nov 11 01:47:23 2008 begin with 39711558 relations and 34799805 unique ideals
Tue Nov 11 01:48:50 2008 reduce to 39670600 relations and 33612182 ideals in 6 passes
Tue Nov 11 01:48:50 2008 max relations containing the same ideal: 20
Tue Nov 11 01:49:54 2008 removing 1519503 relations and 1119503 ideals in 400000 cliques
Tue Nov 11 01:49:58 2008 commencing in-memory singleton removal
Tue Nov 11 01:50:09 2008 begin with 38151097 relations and 33612182 unique ideals
Tue Nov 11 01:51:31 2008 reduce to 38108339 relations and 32449537 ideals in 6 passes
Tue Nov 11 01:51:31 2008 max relations containing the same ideal: 20
Tue Nov 11 01:52:35 2008 removing 1496184 relations and 1096184 ideals in 400000 cliques
Tue Nov 11 01:52:38 2008 commencing in-memory singleton removal
Tue Nov 11 01:52:48 2008 begin with 36612155 relations and 32449537 unique ideals
Tue Nov 11 01:54:07 2008 reduce to 36567059 relations and 31307831 ideals in 6 passes
Tue Nov 11 01:54:07 2008 max relations containing the same ideal: 20
Tue Nov 11 01:55:09 2008 removing 1482433 relations and 1082433 ideals in 400000 cliques
Tue Nov 11 01:55:11 2008 commencing in-memory singleton removal
Tue Nov 11 01:55:23 2008 begin with 35084626 relations and 31307831 unique ideals
Tue Nov 11 01:56:38 2008 reduce to 35037500 relations and 30177776 ideals in 6 passes
Tue Nov 11 01:56:38 2008 max relations containing the same ideal: 20
Tue Nov 11 01:57:36 2008 removing 1472872 relations and 1072872 ideals in 400000 cliques
Tue Nov 11 01:57:38 2008 commencing in-memory singleton removal
Tue Nov 11 01:57:49 2008 begin with 33564628 relations and 30177776 unique ideals
Tue Nov 11 01:59:01 2008 reduce to 33513783 relations and 29053509 ideals in 6 passes
Tue Nov 11 01:59:01 2008 max relations containing the same ideal: 20
Tue Nov 11 01:59:56 2008 removing 284668 relations and 228390 ideals in 56278 cliques
Tue Nov 11 01:59:58 2008 commencing in-memory singleton removal
Tue Nov 11 02:00:09 2008 begin with 33229115 relations and 29053509 unique ideals
Tue Nov 11 02:00:55 2008 reduce to 33227540 relations and 28823541 ideals in 4 passes
Tue Nov 11 02:00:55 2008 max relations containing the same ideal: 20
Tue Nov 11 02:01:11 2008 relations with 0 large ideals: 321908
Tue Nov 11 02:01:11 2008 relations with 1 large ideals: 1206714
Tue Nov 11 02:01:11 2008 relations with 2 large ideals: 4482921
Tue Nov 11 02:01:11 2008 relations with 3 large ideals: 8827594
Tue Nov 11 02:01:11 2008 relations with 4 large ideals: 9567269
Tue Nov 11 02:01:11 2008 relations with 5 large ideals: 5689153
Tue Nov 11 02:01:11 2008 relations with 6 large ideals: 1740071
Tue Nov 11 02:01:11 2008 relations with 7+ large ideals: 1391910
Tue Nov 11 02:01:11 2008 commencing 2-way merge
Tue Nov 11 02:02:20 2008 reduce to 23999301 relation sets and 19595301 unique ideals
Tue Nov 11 02:02:20 2008 commencing full merge
Tue Nov 11 02:17:29 2008 memory use: 1926.5 MB
Tue Nov 11 02:17:40 2008 found 12232120 cycles, need 11625501
Tue Nov 11 02:17:56 2008 weight of 11625501 cycles is about 814043256 (70.02/cycle)
Tue Nov 11 02:17:56 2008 distribution of cycle lengths:
Tue Nov 11 02:17:56 2008 1 relations: 1180049
Tue Nov 11 02:17:56 2008 2 relations: 1364624
Tue Nov 11 02:17:56 2008 3 relations: 1485146
Tue Nov 11 02:17:56 2008 4 relations: 1413021
Tue Nov 11 02:17:56 2008 5 relations: 1300672
Tue Nov 11 02:17:56 2008 6 relations: 1134595
Tue Nov 11 02:17:56 2008 7 relations: 969223
Tue Nov 11 02:17:56 2008 8 relations: 804803
Tue Nov 11 02:17:56 2008 9 relations: 651754
Tue Nov 11 02:17:56 2008 10+ relations: 1321614
Tue Nov 11 02:17:56 2008 heaviest cycle: 17 relations
Tue Nov 11 02:18:04 2008 commencing cycle optimization
Tue Nov 11 02:19:21 2008 start with 61033420 relations
Tue Nov 11 02:31:54 2008 pruned 1834615 relations
Tue Nov 11 02:31:57 2008 memory use: 1951.0 MB
Tue Nov 11 02:31:57 2008 distribution of cycle lengths:
Tue Nov 11 02:31:57 2008 1 relations: 1180049
Tue Nov 11 02:31:57 2008 2 relations: 1398906
Tue Nov 11 02:31:57 2008 3 relations: 1550499
Tue Nov 11 02:31:57 2008 4 relations: 1463809
Tue Nov 11 02:31:57 2008 5 relations: 1350767
Tue Nov 11 02:31:57 2008 6 relations: 1164868
Tue Nov 11 02:31:57 2008 7 relations: 987404
Tue Nov 11 02:31:57 2008 8 relations: 803296
Tue Nov 11 02:31:57 2008 9 relations: 633809
Tue Nov 11 02:31:57 2008 10+ relations: 1092094
Tue Nov 11 02:31:57 2008 heaviest cycle: 16 relations
Tue Nov 11 02:33:01 2008
Tue Nov 11 02:33:15 2008 commencing linear algebra
Tue Nov 11 02:33:18 2008 read 11625501 cycles
Tue Nov 11 02:38:03 2008 cycles contain 31406379 unique relations
Tue Nov 11 02:45:21 2008 read 31406379 relations
Tue Nov 11 02:48:20 2008 using 32 quadratic characters above 1073741720
Tue Nov 11 02:55:57 2008 building initial matrix
Tue Nov 11 03:22:46 2008 memory use: 4007.0 MB
Tue Nov 11 03:23:03 2008 read 11625501 cycles
Tue Nov 11 03:23:21 2008 matrix is 11625245 x 11625501 (3481.3 MB) with weight 1075025815 (92.47/col)
Tue Nov 11 03:23:21 2008 sparse part has weight 784719819 (67.50/col)
Tue Nov 11 03:38:55 2008 filtering completed in 3 passes
Tue Nov 11 03:39:02 2008 matrix is 11605323 x 11605523 (3479.2 MB) with weight 1074223085 (92.56/col)
Tue Nov 11 03:39:02 2008 sparse part has weight 784396726 (67.59/col)
Tue Nov 11 03:42:05 2008 read 11605523 cycles
Tue Nov 11 03:42:23 2008 matrix is 11605323 x 11605523 (3479.2 MB) with weight 1074223085 (92.56/col)
Tue Nov 11 03:42:23 2008 sparse part has weight 784396726 (67.59/col)
Tue Nov 11 03:42:24 2008 saving the first 48 matrix rows for later
Tue Nov 11 03:42:40 2008 matrix is 11605275 x 11605523 (3337.4 MB) with weight 830771297 (71.58/col)
Tue Nov 11 03:42:40 2008 sparse part has weight 758833333 (65.39/col)
Tue Nov 11 03:42:40 2008 matrix includes 64 packed rows
Tue Nov 11 03:42:40 2008 using block size 65536 for processor cache size 2048 kB
Tue Nov 11 03:44:24 2008 commencing Lanczos iteration (8 threads)
Tue Nov 11 03:44:24 2008 memory use: 3893.5 MB
Sun Dec 7 13:59:44 2008 lanczos halted after 183512 iterations (dim = 11605273)
Sun Dec 7 14:00:36 2008 recovered 50 nontrivial dependencies
Sun Dec 7 14:00:37 2008
Sun Dec 7 14:00:37 2008 commencing square root phase
Sun Dec 7 14:00:37 2008 reading relations for dependency 1
Sun Dec 7 14:00:42 2008 read 5802291 cycles
Sun Dec 7 14:02:32 2008 cycles contain 19657467 unique relations
Sun Dec 7 14:07:32 2008 read 19657467 relations
Sun Dec 7 14:15:53 2008 multiplying 15700252 relations
Sun Dec 7 15:30:32 2008 multiply complete, coefficients have about 395.80 million bits
Sun Dec 7 15:30:59 2008 initial square root is modulo 12643487
Sun Dec 7 17:36:17 2008 reading relations for dependency 2
Sun Dec 7 17:36:21 2008 read 5804179 cycles
Sun Dec 7 17:38:12 2008 cycles contain 19660470 unique relations
Sun Dec 7 17:43:12 2008 read 19660470 relations
Sun Dec 7 17:51:40 2008 multiplying 15702896 relations
Sun Dec 7 19:07:03 2008 multiply complete, coefficients have about 395.86 million bits
Sun Dec 7 19:07:31 2008 initial square root is modulo 12679273
Sun Dec 7 21:12:35 2008 prp72 factor: 386736023165016911595773048286586040278275120007787504683197800313250373
Sun Dec 7 21:12:35 2008 prp140 factor: 52040781690664633087476019587971179912361405549597272673699110341655196644796952133433276282056803909903743017483300968477469368178954534813
Sun Dec 7 21:12:35 2008 elapsed time 647:28:34[/CODE]

[QUOTE=frmky;152457]10,287- is done. Here's the log:

[/QUOTE]

Very nice.

I have started the linear algebra for 2,836+. The matrix has
7.4M columns and should take about 39 days. I am using the CWI
solver which is only single threaded and is slower than msieve even
when msieve only uses a single thread. The matrix barely fits
on my 2Gb machine.

I have also started sieving for 7,277+. I will almost certainly need
someone else to do its LA. I simply don't have a machine that I
can use that has enough memory.

[QUOTE=R.D. Silverman;152472]I have also started sieving for 7,277+. I will almost certainly need someone else to do its LA. I simply don't have a machine that I
can use that has enough memory.[/QUOTE]It seems likely that I will be able to provide.

Paul

11,244+ is complete. Per request, the log is attached rather than placed in code tags.

Greg

[quote] Per request, the log is attached rather than placed in code tags.[/quote]:love: