20211207, 09:15  #12 
Apr 2010
194_{10} Posts 
I think that you giving up too fast. I have two more polys with a similar score and I'm optimistic to find one with a better score.
Code:
# norm 7.375882e16 alpha 12.011597 e 3.578e16 rroots 4 skew: 58305240.91 c0: 1333072541380389597470354173207214344325876193954300 c1: 249877985192636981198595328795551397207435728 c2: 15277361638643693781836775615903933945 c3: 37382780628139609655397222494 c4: 8175707456683442327327 c5: 24504116869820 c6: 352800 Y0: 1113549152873829308361401995126669672 Y1: 271159787779363909556551 # norm 7.085980e16 alpha 11.225581 e 3.489e16 rroots 6 skew: 17789353.14 c0: 34119248366663846185278942437796618591687616006920 c1: 10291106877280642918720056960799132150546209 c2: 384150905485505421860272295941740301 c3: 161742382206765912260333396451 c4: 4141445927376482706709 c5: 316761446612130 c6: 378000 Y0: 1113550171027765748936524242536827922 Y1: 15182916390265622764861 
20211208, 00:56  #13 
"Max"
Jun 2016
Toronto
919 Posts 
I am trying to spin all three now.

20211208, 01:36  #14  
Jun 2012
110100011110_{2} Posts 
Quote:
Even ran both msieveGPU and CADO centered around a6 = 25200. Three days of optimization gave me an escore with a 1.6 handle! Just couldn’t find a search methodology with any apparent promise. I may try one more time, using 4620/18480 with an a6 range of 1050M, in blocks of 5M. Whatever your modified code does it appears to spin straw into gold. Kudos! 

20211208, 02:26  #15 
"Curtis"
Feb 2005
Riverside, CA
2×2,579 Posts 
Please post here which specific ranges you ran with CADO, so I don't duplicate work when I give this a try in a couple weeks. I'm busy with ECM pretesting on a couple SNFS jobs in preparation for one of those "boinc challenges" that aim a ton of clients at NFS@home, but once those are queued I'll put a threadyear or so into this search likely starting around xmas.

20211208, 03:03  #16  
Jun 2012
2×23×73 Posts 
Quote:
I may now start a6 up even higher than your planned range with incr = 4620, or perhaps an even greater value. Cover more ground with less depth? My trial burrowing for days around a known “good a6” gave very poor results. I had hoped to duplicate Gimarel’s result but no. 

20211208, 03:11  #17 
"Max"
Jun 2016
Toronto
1110010111_{2} Posts 
Nothing better yet. Some spinoffs of Gimarel's polys with a 3handle for EdH's CADO spinner:
Code:
Y0: 556774576856127686087597601737762682 Y1: 271159787779363909556551 c0: 333075016176933526796868868454780289178872124848275 c1: 124891755530710265955345151175634145711461700 c2: 15277014406982003106713252768111351633 c3: 74967800240925120461782079260 c4: 32704344958945097026108 c5: 195980573793760 c6: 5644800 skew: 29712531.04 # size 5.675e16, alpha 12.010, combined = 3.265e16 rroots = 4 Code:
Y0: 1113552721143769423765907856623629681 Y1: 2868039601322175325006 c0: 6282102854980536317153525502211690842928383870 c1: 11686012871431240158579355681910076732003 c2: 36463498823184902691751367577951338 c3: 427099224754354481707443407 c4: 15588651231096741648862 c5: 181182646433064 c6: 201600 skew: 3756945.75 # size 5.426e16, alpha 9.518, combined = 3.144e16 rroots = 6 Code:
Y0: 1113550175170075278943523304605559969 Y1: 30365832780531245529722 c0: 4611885609149496144154873452859766517988321983060 c1: 2511430227447958572479504111033456556138914 c2: 257310037972570815054523237014681683 c3: 156987162634503515722170703379 c4: 9146258518655766468518 c5: 1264570699904520 c6: 3024000 skew: 9174416.21 # size 5.106e16, alpha 10.994, combined = 3.093e16 rroots = 6 
20211208, 05:48  #18  
"Curtis"
Feb 2005
Riverside, CA
2·2,579 Posts 
Quote:


20211208, 12:53  #19  
Jun 2012
6436_{8} Posts 
Quote:
That leaves the range 50100M open for searching. 

20211210, 15:32  #20 
Jun 2012
2·23·73 Posts 
My first section (1015M) is done, with 2.44e16 the best result.
I am rerunning this with ropteffort=140 in lieu of 100 used in this first run. I expect no improvement but it seems worth a try. Another machine is running the top end of my search range 4050M (with ropteffort=100). These runs are faster than I expected, so if no one wants it I can search 50100M in a week or so. 
20211211, 14:16  #21 
Apr 2010
302_{8} Posts 
I think, that the parameters for cado have to be reconsidered. For about 16h I run
Code:
polyselect d 6 n 24023387191766184217094927222587025087468868508838209688355658860897738047963529318736265313199625192712082581481439831563094403250831892547179972207284600405234081309183045488404642574713121441527058807512178264038863337 P 5000000 admin 1260 admax 126001 incr 420 sopteffort 1 t 32 v nq 279936 Running msieve rootsieve on the resulting sizeoptimized polys gives a best score 3.097e16. Cados ropt with ropteffort 1 gets a score 2.875e16 on the same sizeoptimized poly but ropteffort 10 gets only 2.760e16. The sizeoptimized poly is: Code:
n: 24023387191766184217094927222587025087468868508838209688355658860897738047963529318736265313199625192712082581481439831563094403250831892547179972207284600405234081309183045488404642574713121441527058807512178264038863337 Y1: 806008873539147657940235233 Y0: 879851971181155162208432563347393133 c6: 1016400 c5: 15235385963040 c4: 6294711379783144129999 c3: 5466480360897072625699033948 c2: 493105692357882839776420919503677508 c1: 100163327848708707409468990789835415938548 c0: 2088003479658792575985631978579826901018379459729 # exp_E 53.50, lognorm 62.92, skew 8018993.10, 4 rroots Code:
# norm 6.084435e16 alpha 10.618832 e 3.097e16 rroots 2 skew: 17808880.34 c0: 42002780267256221187650180356142750792071754151336 c1: 651262519104063232720115627970796415197105 c2: 1326111862738691484929056117647791495 c3: 27473728438213413248959196895 c4: 6237993554117149363999 c5: 9683067191040 c6: 1016400 Y0: 880585805990113246889342540216454148 Y1: 806008873539147657940235233 Code:
n: 24023387191766184217094927222587025087468868508838209688355658860897738047963529318736265313199625192712082581481439831563094403250831892547179972207284600405234081309183045488404642574713121441527058807512178264038863337 Y0: 879988034345106179263717112397311096 Y1: 806008873539147657940235233 c0: 1067923738334962179029304141722744115795509256660 c1: 127025912283259850282903340420626685825756 c2: 489133544750679016918999325219311391 c3: 9712702591017452259191128304 c4: 6282286343689740768799 c5: 14205908960640 c6: 1016400 skew: 8653593.983 # lognorm 62.98, E 53.26, alpha 9.73 (proj 2.12), 4 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=2.875e16 ### Best MurphyE so far is 2.875e16, av. exp_E 53.50, av. E 53.26 
20211212, 20:49  #22  
Jun 2012
D1E_{16} Posts 
Quote:
4050M is in root optimization now on a separate machine, and I’m starting the 1540M search on the above machine now. Should take about a 78 days. 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Polynomial selection  Max0526  NFS@Home  9  20170520 08:57 
Best way to scale polynomial selection  pastcow  Msieve  6  20130508 09:01 
Updated polynomial selection  jasonp  Msieve  65  20110501 19:06 
2^8771 polynomial selection  fivemack  Factoring  47  20090616 00:24 
Polynomial selection  CRGreathouse  Factoring  2  20090525 07:55 