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

Max0526 2018-05-04 18:47

C172 poly
 
This one has a higher E (but skew should still be adjusted):
[code]
Y0: -4402426848615032495132095407159777
Y1: 636233426236388287
c0: 7499278599755456072846498246043017639000
c1: 243678138160327513477951960683064050
c2: 5198777109439165101215954033
c3: -260652287897646985710
c4: 5406756433943
c5: 8580
skew: 37182427.774
# lognorm 53.75, E 46.02, alpha -7.73 (proj -1.63), 3 real roots
# MurphyE = 2.79e-13
[/code]

Max0526 2018-05-04 21:54

C172 poly
 
The best I can get out of the original poly:
[code]
Y0: -4402426849167321919344280859961284
Y1: 636233426236388287
c0: -199937214682335102543604674001495899567264
c1: 234049076877345968820593692057889862
c2: 5901952159663244192704788581
c3: -279361212619470902002
c4: 5369516617043
c5: 8580
skew: 54433280.14
# size 9.592e-17, alpha -7.730, combined = 2.804e-13 rroots = 3
[/code]

swellman 2018-05-08 00:40

C205
 
I’ve passed c5=8.3M with no flares so far. Should reach 9M within a week. Hoping for a 2+ but so far nothing over 1.75. Forward!

RichD 2018-05-08 23:02

C205 poly
 
Another tiny hit.
[CODE]R0: -3914771235921345223028653440045908622608
R1: 83978456652137608897
A0: 897186260003838828626856197398791555894401247760035
A1: -15473052498344020100976888169402376602146044
A2: -21703590990312958572583480361197877
A3: 27650030428846456986353458
A4: 7816263351299940
A5: 5117688
skew 1069751301.91, size 2.519e-20, alpha -8.425, combined = 1.709e-15 rroots = 3[/CODE]

VBCurtis 2018-05-09 15:50

I have a flare:
[code]# norm 4.130880e-20 alpha -7.938619 e 2.074e-15 rroots 5
skew: 586450530.98
c0: -355170554263373774933814313387414272049267833477448
c1: 911367142430477684116255487578562595005996
c2: 6819929388968773981768206901692322
c3: -7015212022381426180946231
c4: -26019099683562474
c5: 7971600
Y0: -3582713251558895290434418496269928504943
Y1: 53269045444494013651[/code]
I don't think two hits from the same flare will polish differently from the single best hit, but just in case:
[code]# norm 4.012673e-20 alpha -7.692797 e 2.035e-15 rroots 5
skew: 442475578.08
c0: -61647748857985267937588061986170275017492853627963
c1: 467506248874726533651228361048628473333639
c2: 3175866856319028589029238892919277
c3: -16727878329629814362322239
c4: -21987037579128474
c5: 7971600
Y0: -3582713251553506557947185897704522157820
Y1: 53269045444494013651[/code]
These came from my first -nps hit below 1e27:
[code]7971600 -19784196963516474 -21345037846654915296591983 12862348014319940933351363848195 5901518859841973493400099510349799037242 -1057609034251464643894957232110928683748769823 53269045444494013651 -3582713251550562526213029321930353419506 -2.08 9.341169e+26[/code]
7-8M complete. Jumping to 20M for a week or so.

swellman 2018-05-11 17:35

[code]
R0: -3536359340323754712866814421027942414073
R1: 81198782607099792059
A0: 2794734256111711705165864778615651127846189745752000
A1: 53621010649385568216433704085778775836547648
A2: 16537575065605356575062461633207738
A3: -165415686812936568850837501
A4: -3871743068877298
A5: 8507928
skew 1481833218.95, size 2.658e-20, alpha -9.128, combined = 1.749e-15 rroots = 5
[/code]

Nothing great, hoping it might spin up.

Max0526 2018-05-11 20:34

C205 poly
 
[QUOTE=swellman;487419][code]
R0: -3536359340323754712866814421027942414073
R1: 81198782607099792059
A0: 2794734256111711705165864778615651127846189745752000
A1: 53621010649385568216433704085778775836547648
A2: 16537575065605356575062461633207738
A3: -165415686812936568850837501
A4: -3871743068877298
A5: 8507928
skew 1481833218.95, size 2.658e-20, alpha -9.128, combined = 1.749e-15 rroots = 5
[/code]Nothing great, hoping it might spin up.[/QUOTE]
It does spin up a tiny bit with a triple drop in skew:
[code]
Y0: -3536359340323750774888255541902227136691
Y1: 243596347821299376177
c0: 103604992843134049640772119722162129940984233933600
c1: 5958068173423776370818738299540045372640940
c2: 5504502673679520329940733086993284
c3: -165416437700006755155633997
c4: -11609039944249734
c5: 76571352
skew: 494858259.14
# size 2.667e-20, alpha -9.128, combined = 1.769e-15 rroots = 5
[/code]

swellman 2018-05-11 20:46

Thanks Max. Still pretty bad score but hope springs eternal.

Max0526 2018-05-11 21:54

R507 C200 polys
 
My sincere thank you to everybody who participated in polynomial selection for C200 (repunit R507 cofactor)! I collected and sent a total of 21 different polys to Kurt Beschorner yesterday, all of them were better than my original 4.163, four best were above 4.5. Kurt is test-sieving them next week. When his team decides on the best one/couple, I'll post all their parameters here. At that moment all of your critique/advice is appreciated.
Thank you again! I hope that 4.531 vs 4.163 will shorten factoring time significantly, and without all your time and effort that would never happen.

RichD 2018-05-12 21:03

C205 Poly
 
Another baby flare.
[CODE]R0: -3856134901946571958838648324528815419103
R1: 251716724539648765507
A0: -91415779246320355407167237688642793492396864512780
A1: 278408751908577127751220790848941361729752
A2: 9352871961289972867006933318459315
A3: -27295471629939987238540618
A4: -89134418305081860
A5: 5518800
skew 371607454.56, size 2.802e-20, alpha -8.065, combined = 1.802e-15 rroots = 5[/CODE]

Max0526 2018-05-13 16:36

C205 poly
 
[QUOTE=RichD;487473]Another baby flare.
[CODE]R0: -3856134901946571958838648324528815419103
R1: 251716724539648765507
A0: -91415779246320355407167237688642793492396864512780
A1: 278408751908577127751220790848941361729752
A2: 9352871961289972867006933318459315
A3: -27295471629939987238540618
A4: -89134418305081860
A5: 5518800
skew 371607454.56, size 2.802e-20, alpha -8.065, combined = 1.802e-15 rroots = 5[/CODE][/QUOTE]
The best I can pull out of the above poly:
[code]
Y0: -7712269803951896967322061343625360404006
Y1: 251716724539648765507
c0: -69917179175922664844986296776518371619170040235110
c1: 193917920132046628166468765753031096636419
c2: 11537621495950397832407528393338495
c3: 7532905202303851734213691
c4: -23088691949220465
c5: 689850
skew: 726579649.34
# size 2.892e-20, alpha -8.173, combined = 1.858e-15 rroots = 5
[/code]


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