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-   -   Polynomial Request Thread (https://www.mersenneforum.org/showthread.php?t=18368)

Max0526 2018-04-29 04:09

C200 poly -- one more 4.3
 
[code]
# norm 1.265800e-19 alpha -7.194355 e 4.308e-15 rroots 1
skew: 168949237.91
c0: -366246449806489371080069955575956585290856258672
c1: 3896685836670782519305430861209767795986
c2: 50356054465380784825292942800193
c3: -776521102766055303781371
c4: -5225368291853606
c5: 13362720
Y0: -489207429140912771443111805756752053305
Y1: 9344589364270056116
[/code]

Max0526 2018-04-29 04:34

C200 poly -- another 4.3
 
[code]
Y0: -489207429138957244159504815216906406673
Y1: 4672294682135028058
c0: 43390246664268214121628315582699668084657642922984
c1: -23714597479122100397707089391993870163644
c2: -1171061727691233655452741897055354
c3: 701432265330756442416981
c4: 4378303506006797
c5: 3340680
skew: 482795663.27
# size 1.077e-19, alpha -8.002, combined = 4.307e-15 rroots = 3
[/code]

Max0526 2018-04-29 05:09

C200 poly -- both msieve 4.5s
 
[code]
Y0: -489207429140977588145444288907993425959
Y1: 4672294682135028058
c0: -67818481712794494324061163527761391433168647350
c1: 7480598548250494510650460213608381766685
c2: 129923099884742338842694432816343
c3: -625113529125832182167815
c4: -2844403114741003
c5: 3340680
skew: 214004621.41
# size 1.152e-19, alpha -6.673, combined = 4.531e-15 rroots = 5
[/code][code]
Y0: -489207429141011531399145000684883987953
Y1: 4672294682135028058
c0: -1141622752347875247016534173692198727370239170296
c1: 606229025806036192373697162986942868196
c2: 142633534281473766366139546615926
c3: -540694411833242620565099
c4: -2965749858137203
c5: 3340680
skew: 269920746.28
# size 1.143e-19, alpha -7.036, combined = 4.526e-15 rroots = 3
[/code]

RichD 2018-04-29 12:47

C205 poly
 
As I close in on 5M another possibility. Continuing into the 5-6M range.
[CODE]R0: -3939894435202767119845032998249082119094
R1: 277597466873921519803
A0: -30109819317578464910311732391159308899071252454542725
A1: 67904327227842872723570205372945707487704665
A2: 89711284725594380687579981974364657
A3: -31582031592090409137344053
A4: -26058433827177532
A5: 4956588
skew 1932441548.82, size 2.678e-20, alpha -8.740, combined = 1.760e-15 rroots = 5[/CODE]

Max0526 2018-04-29 13:54

C200 poly -- msieve 4.4
 
[code]
Y0: -489207429141412130898855125238538614137
Y1: 4672294682135028058
c0: -135220880213453029128419212599815500858697952000
c1: 1955540714036455584454998154138012061616
c2: 129842356735497647033869344688530
c3: 722012688809806134796677
c4: -4397888483520403
c5: 3340680
skew: 179118484.58
# size 1.177e-19, alpha -6.497, combined = 4.487e-15 rroots = 5
[/code]

Max0526 2018-04-29 14:31

C200 poly -- msieve high 4.3
 
[code]
Y0: -489207429140858674190232168350712971615
Y1: 4672294682135028058
c0: -418596605124100095051389991697343867241397839456
c1: 7806530206501956862267102829964749828259
c2: 71690073056011630361166727208631
c3: -893044498119399023447031
c4: -2419287086189803
c5: 3340680
skew: 208567330.65
# size 1.104e-19, alpha -6.496, combined = 4.397e-15 rroots = 5
[/code]

Max0526 2018-04-29 14:55

C205 -- the first 2.0 !
 
[QUOTE=RichD;485964]Best so far at the 2/3 point through 4-5M. I'll continue on to 6M.
[CODE]N: 4705499686630466473042812716861336570115880660669072889905496053875945320601882581045264500921665604368264934151667308502968743487543692918887982034128889292133536046049610054928273805151278311296155020067
# expecting poly E from 2.44e-15 to > 2.80e-15
R0: -4039698644653792089233790873671872282468
R1: 628992977004761595913
A0: -3509676591085569433719077056369866148709592007490625
A1: 8547863309863428365739706586715652270298215
A2: 22098645276592814812963801523633769
A3: -29227035952296083163151503
A4: -24129478705425692
A5: 4373820
skew 1113014561.55, size 2.980e-20, alpha -8.438, combined = 1.898e-15 rroots = 5[/CODE][/QUOTE]
:stirpot:
[code]
Y0: -4039698644708838854943390304109408383872
Y1: 628992977004761595913
c0: -6518785709470506879064968855087234223933067171054485
c1: 10133881711588663234779595037794354849957451
c2: 28633956606844202612706229349725113
c3: -20445211465511072902986959
c4: -26043368475248492
c5: 4373820
skew: 1214372064.98
# size 3.366e-20, alpha -8.823, combined = 2.052e-15 rroots = 5
[/code]

Max0526 2018-04-29 15:39

C205 poly -- another 2.0
 
[code]
Y0: -4039698644707838956129719420686094214206
Y1: 628992977004761595913
c0: -6502603781870834439989624152024162945274005941996355
c1: 10224764063450483073195464578664739731691611
c2: 28536057745155230221740040278001551
c3: -20610703631530927182288335
c4: -26008603560622292
c5: 4373820
skew: 1243773833.42
# size 3.366e-20, alpha -8.823, combined = 2.051e-15 rroots = 5
[/code]

Max0526 2018-04-30 01:53

C205 poly -- please ignore one of the above
 
Although the poly in message 1240 has a different E than the one in message 1239, it also has a non-optimal skew. Both polys are effectively the same, please ignore one of them if they make it to test-sieving.

swellman 2018-05-02 02:29

My C200 efforts halted
 
After numerous outstanding polys found to date by others, and my own efforts yielding poorly, I’ve halted my search after running c5=1 to 110K. I found nothing even close to a feasible poly.

That said, I will be happy to restart from c5=110k if still needed for C200. The low end c5’s sometimes yield nice scores but seemingly not so much at this sized composite.

For what it’s worth, I’ve stumbled on a nice balance for the search recipe - stage_1_norm/stage_2_norm = 5%/6% of max values. Gives nice yield at good speed on my old/slow hardware. YMMV.

Does anyone want assistance with C205? Give me a range and I’ll run it.

VBCurtis 2018-05-02 02:58

Sean-
How about starting at 8M? I'm about done with 1-2M and will continue to 3M. Rich has 3-5M covered (or was it 4-6M?) and is likely to continue beyond that.

I may give CADO another run on deg 6 for this C205; I am not yet convinced that deg 5 is superior.

I think we've done Kurt & co a favor with the C200 polys, but this C205 deserves a *lot* of poly select.

My search recipe is to divide default stage 1 norm by 10 to 12, while the stage 2 norm can be divided by 30 for smaller jobs; for something this size I experimented to find a stage 2 norm that produced 40-60 hits per day. I run root-opt every 2-3 days.
I believe on these large jobs stage 1 norm should not be set so tightly that msieve stops searching a subset of the range.


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