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

swellman 2018-04-19 19:23

Another poly, not too impressive score or characteristics.

[code]
# norm 9.855946e-20 alpha -9.106763 e 3.505e-15 rroots 5
skew: 6570304425.91
c0: 4300251805900853334091187937606700721343113741101351
c1: 72608421208694572568616668206024889933385632
c2: -11952585146435613208683195440906362
c3: -23313027402789277029718388
c4: 263127113895027
c5: 26100
Y0: -1123895464073808619079026830541674981642
Y1: 904099845801523153
[/code]

VBCurtis 2018-04-20 00:21

Two hits from a good flare, finally:
[code]# norm 1.272041e-19 alpha -7.669341 e 4.185e-15 rroots 3
skew: 313675142.39
c0: -2613397758948710615381618954193639974983873947861
c1: 40476197400293567659009187291980574870859
c2: -300510116102567703070381734748814
c3: 404806635575462145900374
c4: 8629013161908332
c5: 1475760
Y0: -501476831237464761329230379807885125196
Y1: 14440964108985125969[/code]
drumroll please.....
[code]# norm 1.356121e-19 alpha -7.614741 e 4.365e-15 rroots 3
skew: 247658624.91
c0: -401601053523041868748554449740853021840869159216
c1: -24105082117172285793738052777336852773254
c2: -270403306749516527088374194334109
c3: -913972511465518138075994
c4: 8342323678885532
c5: 1475760
Y0: -501476831238025837999523077184210184135
Y1: 14440964108985125969[/code]
Original size-opt hit:
[code]1475760 8506296530957132 -165147144392524888663498 -306454830144670920767609308940426 2507661398737836599202869482190203456110 1457688564567332072858783918920571524982244514107 14440964108985125969 -501476831237704928627861844604262289002 -2.41 1.289964e+26[/code]

Max0526 2018-04-20 01:55

C200 poly
 
[QUOTE=VBCurtis;485736]Two hits from a good flare, finally:
[/QUOTE]
Well, three actually. One more (so far) derived by spinning:
[code]
# norm 1.269560e-19 alpha -7.669412 e 4.216e-15 rroots 3
skew: 628266546.97
c0: -10498231069807815136608613055321671991515653531000
c1: 81283325296384084674339841353082831476165
c2: -300840350882693616425151993479927
c3: 197655235578588428087635
c4: 2156745711126233
c5: 184470
Y0: -1002953662474937469679860539329427376751
Y1: 14440964108985125969
[/code]

VBCurtis 2018-04-20 02:35

A separate hit yielded:
[code]# norm 1.192741e-19 alpha -8.333295 e 4.007e-15 rroots 5
skew: 570001242.01
c0: 33122002049077701687897535250046244129697621119585
c1: 148734611071023800620335264195160222416282
c2: -3864253873660205103915664905866930
c3: 2684403767691237031065186
c4: 12750543336949153
c5: 1630980
Y0: -491546143090428554001208403680270063848
Y1: 37212723917320918351[/code]

Max0526 2018-04-20 03:14

C200 poly
 
[QUOTE=VBCurtis;485743]A separate hit yielded:
[code]# norm 1.192741e-19 alpha -8.333295 e 4.007e-15 rroots 5
skew: 570001242.01
c0: 33122002049077701687897535250046244129697621119585
c1: 148734611071023800620335264195160222416282
c2: -3864253873660205103915664905866930
c3: 2684403767691237031065186
c4: 12750543336949153
c5: 1630980
Y0: -491546143090428554001208403680270063848
Y1: 37212723917320918351[/code][/QUOTE]
I could spin this one up a bit:
[code]
Y0: -491546143090413810803757772057591336211
Y1: 37212723917320918351
c0: 55222823603759860177687341191168777404306565287200
c1: 145673944007726344316290990811703433788900
c2: -3861051286751076611983636585580642
c3: 2704612725797094283979830
c4: 12753774202315453
c5: 1630980
skew: 585569428.25
# size 1.015e-19, alpha -8.434, combined = 4.085e-15 rroots = 5
[/code]

VBCurtis 2018-04-20 06:07

Pleased to discover my second GPU is back to msieve-working condition. I didn't actually fix anything; I just decided to fire it up and see what the error message was, only to find no error.

So, like Rich, I'm running A276-C205 in parallel with Max's C200; my slower card is on the C205, from 1M-2M.

RichD 2018-04-20 15:32

C205
 
I am little over half way through my 4M range and haven't found anything close to the lower end of the expected values. The default for a C205 in msieve is a 5 degree polynomial. Is this optimal and/or is there a way to change it if needed?

VBCurtis 2018-04-20 16:34

[QUOTE=RichD;485789]The default for a C205 in msieve is a 5 degree polynomial. Is this optimal and/or is there a way to change it if needed?[/QUOTE]

I don't think msieve ever chooses deg 6 on its own. I believe the flag to tell it to search deg 6 is "degree=6", but I'm pretty sure deg 5 is best for this candidate. That's not to say a deg6 can't score better; there is some merit in dabbling with deg 6 to see how much better deg 5 is, the better to learn where the cutoff belongs. I believe that for 210-220 digits both degrees should be searched, and 220+ I would only search deg 6.

Max0526 2018-04-20 22:28

C200 poly -- new record
 
[QUOTE=Max0526;485742]Well, three actually. One more (so far) derived by spinning:
[code]
# norm 1.269560e-19 alpha -7.669412 e 4.216e-15 rroots 3
skew: 628266546.97
c0: -10498231069807815136608613055321671991515653531000
c1: 81283325296384084674339841353082831476165
c2: -300840350882693616425151993479927
c3: 197655235578588428087635
c4: 2156745711126233
c5: 184470
Y0: -1002953662474937469679860539329427376751
Y1: 14440964108985125969
[/code][/QUOTE]
CADO brew: :stirpot:
[code]
Y0: -1002953662476515059171676500533951867015
Y1: 14440964108985125969
c0: 1164336793708965565047946417590911091512011477376
c1: -32542955264489544791964603853439636329668
c2: -213588319318714638727600206469104
c3: -722776225018573109017357
c4: 2055984456074633
c5: 184470
skew: 529002257.20142
# lognorm 62.80, E 55.13, alpha -7.67 (proj -1.72), 3 real roots
# MurphyE = 4.37186585e-15
[/code]

Max0526 2018-04-21 02:54

C200 poly -- new record
 
[QUOTE=Max0526;485824]CADO brew: :stirpot:
[code]
Y0: -1002953662476515059171676500533951867015
Y1: 14440964108985125969
c0: 1164336793708965565047946417590911091512011477376
c1: -32542955264489544791964603853439636329668
c2: -213588319318714638727600206469104
c3: -722776225018573109017357
c4: 2055984456074633
c5: 184470
skew: 529002257.20142
# lognorm 62.80, E 55.13, alpha -7.67 (proj -1.72), 3 real roots
# MurphyE = 4.37186585e-15
[/code][/QUOTE]
Same poly run through msieve:
[code]
Y0: -1002953662475768901328977406189157716476
Y1: 14440964108985125969
c0: -1172348634953289970423749619374157815954886113400
c1: -59262827691056001813201989612813997496185
c2: -292436710278967227452965526194227
c3: -292924344485750556532165
c4: 2103641847992483
c5: 184470
skew: 529493297.25
# size 1.107e-19, alpha -7.665, combined = 4.375e-15 rroots = 3
[/code]

Max0526 2018-04-22 02:03

C200 -- two more 4.2 polys
 
[QUOTE=Max0526;485742]Well, three actually. One more (so far) derived by spinning:
[code]
# norm 1.269560e-19 alpha -7.669412 e 4.216e-15 rroots 3
skew: 628266546.97
c0: -10498231069807815136608613055321671991515653531000
c1: 81283325296384084674339841353082831476165
c2: -300840350882693616425151993479927
c3: 197655235578588428087635
c4: 2156745711126233
c5: 184470
Y0: -1002953662474937469679860539329427376751
Y1: 14440964108985125969
[/code][/QUOTE]
I can't get the second one through msieve yet.
[code]
Y0: -1002953662474503544933176358211047686455
Y1: 14440964108985125969
c0: -8320316330657712264462720488802308088375188829344
c1: 63974102258942916783039397877687046114037
c2: -271288892633101549202874324097919
c3: 458545970839440048694323
c4: 2184460653638633
c5: 184470
skew: 622966656.48929
# lognorm 63.13, E 55.46, alpha -7.67 (proj -1.72), 3 real roots
# MurphyE = 4.21486186e-15
[/code][code]
Y0: -1002953662475677508857184728458378210052
Y1: 14440964108985125969
c0: 8750355810624420557122630905414577503400279569920
c1: 21250731315902716789162195015913342209483
c2: -297492194727518618056544934519375
c3: -239597220840981466368293
c4: 2109479120748083
c5: 184470
skew: 451860980.15544
# lognorm 62.63, E 55.61, alpha -7.02 (proj -1.72), 5 real roots
# MurphyE = 4.20782524e-15
[/code]


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