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

Max0526 2019-04-02 04:16

C185 poly
 
Another comparable poly derived from RichD's would be:[code]Y0: -350598613903446113559158902055085728
Y1: 1151497920648681839
c0: -278606199532466868151948174897944139750377690
c1: 22186814650049044711194607650213958959
c2: 1598070652048582693605766358220
c3: -27438394872280322960848
c4: -1129968701360476
c5: 8091720
skew: 40453501.88
# size 4.361e-18, alpha -7.622, combined = 4.273e-14 rroots = 5[/code]

firejuggler 2019-04-02 17:09

Best so far is at 3.65e-14 so not worthy

Max0526 2019-04-10 00:49

C185 poly
 
Another good poly from my CADO:[code]Y0: -609414302493610066510248598628754033
Y1: 482584388682459747999802
c0: -192053637266536315272362160894485590322669710
c1: -4184423557017698535324249587323488295
c2: 214797327045267004844314766338
c3: -4007241636051305135270
c4: -61638355247067
c5: 510000
skew: 73793393.45
# size 4.213e-18, alpha -6.506, combined = 4.241e-14 rroots = 3[/code]

Max0526 2019-04-10 03:01

C185 -- record poly
 
:stirpot:[code]Y0: -609411839753032457355141434355194167
Y1: 965168777364919495999604
c0: -3244347795074814069524064578675423329876980
c1: 850603978255643658636075236836690554
c2: 36121687795823663789204541850
c3: -2566320978167426552857
c4: -48625111097067
c5: 1020000
skew: 30116285.46
# size 4.630e-18, alpha -5.428, combined = 4.545e-14 rroots = 5[/code]

fivemack 2019-04-18 08:50

Max0526: could you stir this one?
 
[code]
n: 33877143438507949428122136319224507564453087726387326403079782430918290296977702480984679973850767245850711102439835689977353605432825682717948241061600716145752570530242538865362655783335654861
# norm 6.407834e-19 alpha -7.806563 e 1.159e-14 rroots 5
skew: 141168793.30
c0: 114945860667156133412441817120490368600246938928
c1: 2806429852420910793934762070480672557332
c2: -34138008953234535448452120381408
c3: -653422488237071932602299
c4: 2596522762124162
c5: 4765320
Y0: -23461887201431627931977911041061194883
Y1: 90709169700441979961
[/code]

The number is [url]http://www.factordb.com/index.php?id=1100000000636887370[/url] C194 cofactor of Fib(1865). This is best hit from 12 million stage1_norm=1e29

Max0526 2019-04-23 01:52

C194 poly
 
[QUOTE=fivemack;514029][code]
n: 33877143438507949428122136319224507564453087726387326403079782430918290296977702480984679973850767245850711102439835689977353605432825682717948241061600716145752570530242538865362655783335654861
# norm 6.407834e-19 alpha -7.806563 e 1.159e-14 rroots 5
skew: 141168793.30
c0: 114945860667156133412441817120490368600246938928
c1: 2806429852420910793934762070480672557332
c2: -34138008953234535448452120381408
c3: -653422488237071932602299
c4: 2596522762124162
c5: 4765320
Y0: -23461887201431627931977911041061194883
Y1: 90709169700441979961
[/code]The number is [URL]http://www.factordb.com/index.php?id=1100000000636887370[/URL] C194 cofactor of Fib(1865). This is best hit from 12 million stage1_norm=1e29[/QUOTE]
Not the final answer yet but already better:[code]Y0: -23461887201384927585886014293865993487
Y1: 272127509101325939883
c0: 4310428678340228394785462430576130732093635840
c1: 307862304285298179288462186009503234148
c2: -11714363121877286986555675366396
c3: -648062723894354975865371
c4: 7826368660685286
c5: 42887880
skew: 48949272.75
# size 5.305e-19, alpha -7.808, combined = 1.174e-14 rroots = 5[/code]

Max0526 2019-04-23 10:56

C194 polys
 
Two more from CADO. Between these four there is one that test-sieves better.
[code]
Y0: -23461887200366118112641851349968106043
Y1: 272127509101325939883
c0: 5266390914621422290614229869816237300250952304
c1: 194582358648190266502911396643517332788
c2: -18312449102019891933156620546296
c3: -524847759039143371149179
c4: 8629201468284486
c5: 42887880
skew: 47794667.05379
# lognorm 60.90, E 53.09, alpha -7.81 (proj -2.55), 5 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 1.17317695e-14
[/code][code]
Y0: -23461887200365585468397370354661775051
Y1: 90709169700441979961
c0: 142202836088901148467513757268177256401553647760
c1: 1750595989338422767986071519125828207316
c2: -54946592429096900582542513817304
c3: -524780196501347047651323
c4: 2876540399223362
c5: 4765320
skew: 143172982.48516
# lognorm 61.45, E 53.64, alpha -7.81 (proj -2.13), 5 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 1.15898085e-14

[/code]

unconnected 2019-05-14 16:55

Hello. I need a poly for C180 from 159978:i10330. Here is my best:
[CODE]# norm 1.461322e-17 alpha -7.637944 e 7.874e-14 rroots 5
n: 214070643995053557247032327596800399652492190047267079653494547170121669920142399594293313901833938382948553230156719180718231645169259005844994584174514262901496549292628747988507
skew: 134161103.27
c0: -1968913219569516912960989656022423890238629637
c1: 33525703390524849464337571780225543581
c2: 1260974462206567030479435367967
c3: -5992254251925405757437
c4: -84040013012526
c5: 93852
Y0: -74408531054477924360164371060528420
Y1: 13600254840686388389
[/CODE]

RichD 2019-05-14 21:18

C180 Poly
 
I'll start at 4M with msieve-gpu.

swellman 2019-05-15 10:39

C180
 
I will help using msieve GPU, for c5 < 1M.

unconnected 2019-05-15 11:14

Thank you, guys!


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