Best msieve poly scores - Page 12

Max0526 · 2018-06-24, 18:58

cofactor of 3408:1668
http://factordb.com/index.php?id=1100000000877303161

This poly was found by Gimarel in January 2017
http://www.mersenneforum.org/showpos...&postcount=401

Code:

# norm 1.222655e-18 alpha -8.479287 e 1.735e-14 rroots 3
skew: 17653518.44
c0: 826319531224681659341264214653314828053252960
c1: 26940857953335994224321141436849154800
c2: -22688220016211567990602767782164
c3: 15607687492217763886884
c4: 54690847245705303
c5: 1286485200
Y0: -1870545265872388890161243166679811449
Y1: 554791760382776548817

Max0526 · 2018-06-24, 19:51

cofactor of 4788:12515
http://factordb.com/index.php?id=1100000001087318908

This poly was found by RichD in April 2018

Code:

R0: -86825671372509677292865083630970354043
R1: 2045148860419396619
A0: 2312331198521591434462181124108904018182857200248
A1: 77239043600173382348632075745581721624878
A2: -678505319363690260419212557463911
A3: -3627182455388757596945318
A4: 5686908312307908
A5: 4235760
skew 349240680.19, size 2.226e-19, alpha -8.300, combined = 6.704e-15 rroots = 5

and spinned up by me (c5 --> c5/2, Y1 --> 2*Y1)

Code:

Y0: -173651342744794569102455588869062262017
Y1: 4090297720838793238
c0: 18663073647309083415749465903919433974002694067100
c1: 96284544410748278299958225748685479151495
c2: -583213735840340666575565441183678
c3: -1124571431674657651012651
c4: 3425402845233654
c5: 2117880
skew: 461559665.36
# size 2.792e-019, alpha -9.110, combined = 7.867e-015 rroots = 5

Max0526 · 2018-06-24, 20:01

cofactor of 13*2^914-1
http://factordb.com/index.php?query=13*2%5E914-1

This poly was found by VBCurtis in March 2018

Code:

R0: -64196393134265280636665032921587310
R1: 864105056918342173001809
A0: -7651121059977140085488192200302080085131736
A1: 5281321730265663984694305917289217360
A2: 71950993821041134671572550935
A3: -4729878062803921224335
A4: -12447411213144
A5: 79920
skew 56893438.02, size 2.042e-17, alpha -7.737, combined = 1.102e-13 rroots = 5

and spinned up by me (c5 --> 8*c5) in msieve

Code:

# norm 2.931139e-017 alpha -8.229563 e 1.226e-013 rroots 5
skew: 41563365.23
c0: -16044704580477138445599297535942212590885385
c1: 2750470388719532843656946041775560706
c2: 45229820104467967745668545869
c3: -9639930816688786255774
c4: -46808305975776
c5: 639360
Y0: -32097390701892453215503632800718446
Y1: 864105056918342173001809

and in CADO

Code:

Y0: -32098150312453048536394337846959694
Y1: 864105056918342173001809
c0: -18421093653658835977915014560828934689651145
c1: 2648730673817449474836171573646638914
c2: 70431024955044761815604225549
c3: -9470398565278778793886
c4: -49618523345376
c5: 639360
skew: 41683064.78648
# lognorm 56.37, E 48.14, alpha -8.23 (proj -2.56), 5 real roots
# MurphyE = 1.22631565e-13

Max0526 · 2018-06-24, 20:33

cofactor of 276:2122
http://factordb.com/index.php?id=1100000000968464132

This poly was found by Gimarel in May 2018

Code:

# norm 4.360225e-20 alpha -8.482317 e 2.160e-15 rroots 3
skew: 576643112.81
c0: -49831972907768980741847754899694896009872578368904
c1: -1208252898570059997960254995437853104752250
c2: 2301054153094287847095810813500019
c3: -768701320508910349722448
c4: 20217122428639892
c5: 10090080
Y0: -3417765234685637144252856994227250140533
Y1: 52603066613593727963

and spinned up by me (c5 --> c5/8)

Code:

Y0: -6835530469371936063489368968892887921086
Y1: 52603066613593727963
c0: 106863082431835028747308556492022478778662690232800
c1: -834098082431192524637386640069460680348108
c2: 2320334701970265365907458633292579
c3: -636696781618710007602904
c4: 4974943947757973
c5: 1261260
skew: 1032554815.87
# size 3.691e-20, alpha -8.412, combined = 2.215e-15 rroots = 1

Max0526 · 2018-09-16, 14:19

cofactor of 3867675755483^19-1
http://factordb.com/index.php?id=1100000000126248231

The following poly was found by RichD in July 2018
https://mersenneforum.org/showpost.p...postcount=1437

Code:

N: 17091144404057182526808435052712333380560284935301487306675211495551817989135893565600385540258585226003866292895782708444388831056595759837645167391205220793744645983786599
# expecting poly E from 2.27e-13 to > 2.61e-13
R0: -1619121272013358595378455472009581
R1: 19673607520425629
A0: -51746507260284830003952304704720236217360
A1: 33638379090035788565523931883203484
A2: 2508601890567450534849189180
A3: -688238768371918957227
A4: -22967109342062
A5: 1535940
skew 11663713.92, size 8.680e-17, alpha -6.869, combined = 2.669e-13 rroots = 5

Max0526 · 2018-09-16, 15:29

Quote:

Originally Posted by Max0526

cofactor of (64*10^335-1)/9
http://stdkmd.com/nrr/c.cgi?q=71111_335

Code:

# Murphy_E = 2.611e-15, selected by Erik Branger
# Polynomial selection took 3 months on a GTX760
n: 109171591085766696329154094898413102975244602654436063131236802577739018610372481766336529673096871219819082305153836057313909197892887464895177698907857683478715073482144332103260248475095490460103745877
Y0: -874787825966474636764651895639288018128
Y1: 7711155590735127311
c0: 7141196392545477230382872093858734437613258900875
c1: 209427097645347526234634345978136636660435
c2: -150871290860064104063428589267457
c3: -19921799259530980061064995
c4: 25303191192736094
c5: 213106152
skew: 167658719.81
# size 4.915e-020, alpha -7.760, combined = 2.611e-015 rroots = 5

The number is not factored yet. The above poly is spinned up by me (c5 --> c5*4, Y1 --> Y1*2):

Code:

Y0: -874787825966474536774097350576892176391
Y1: 15422311181470254622
c0: 892989001038655569230845340242451534782650525750
c1: 52355793725093117249749858151673132616895
c2: -75823121620536184346229049417998
c3: -19920486475286928403506123
c4: 50634015860202028
c5: 852424608
skew: 83885358.71
# size 4.917e-20, alpha -7.761, combined = 2.630e-15 rroots = 5

Max0526 · 2018-09-29, 14:10

Quote:

Originally Posted by Max0526

cofactor of 434040:3059
http://www.mersenneforum.org/showpos...&postcount=909
by richs

Code:

# norm 1.215438e-014 alpha -5.992013 e 4.496e-012 rroots 5
n: 193772627436498719691399371635139917650415631165444129989632973066769346863702474240220073470345031874593997015736878532869569858946276674743265111984081
skew: 11059975.16
c0: 714364181918696418157020125640001905
c1: 10952754678896260587986816145552
c2: 2646592400904787922886346
c3: -419947073011879588
c4: -17998728499
c5: 540
Y0: -814666335894843441556680853706
Y1: 10374901361511881

This spin-up comes one year too late (please ignore in records, just wanted to show that we can cross 4.5e-12):

Code:

Y0: -814666335752240422342700049361
Y1: 20749802723023762
c0: 54088044460352264351058270445110745
c1: 1378158912700643316185560429999
c2: 657313873727583836981329
c3: -210467811454809804
c4: -17961616999
c5: 1080
skew: 5537118.99111
# size 1.005e-14, alpha -5.299, combined = 4.542e-12 rroots = 5

Max0526 · 2018-10-01, 02:00

Found around April 2015 by Carlos Pinho (?) / Tom Womack (?)
https://pastebin.com/sbTeDdiy

Code:

n: 2543559733472187557120132004189335234812341496026552301496526393412538629248600474981599398141467853800514886431180030568224218435400019580180261753940817530060800000000000000000000000001
Y0: -1092945889673079797870192828810536367
Y1: 9791505071729689
c0: 6673852606710731077036218775818453126132707328
c1: 775527868841378166749934559984486835272
c2: 15807477616221366339271408969274
c3: -109195983171246672126447
c4: -612654964774572
c5: 1630980
skew: 138277977.13
# size 2.849e-18, alpha -8.383, combined = 3.264e-14 rroots = 5

Could have been spinned up a bit (ignore in record scores):

Code:

Y0: -1092945889673070058475511090866941225
Y1: 19583010143459378
c0: 932598090854249425924962475726083589380823878
c1: 201662013795437956522422945577840547099
c2: 7739006116624111592712909906094
c3: -111617424171012417734511
c4: -1209086930304744
c5: 6523920
skew: 72193516.45
# size 2.871e-18, alpha -8.405, combined = 3.307e-14 rroots = 5

Max0526 · 2018-10-02, 23:03

Found around June 2018 by fivemack (?)
cofactor of L3265B
https://pastebin.com/jELNvhQd

Code:

n: 141770124213572134329106505036858530722726882938860059721059087306826513938941620101647149603638756561716429478132584581453367437196881713777208263311848378263499561266600829546163567081 
Y0: -1200397333264490794359518545972963161
Y1: 47816255060987877833
c0: 14258353856887496816261439201734433642729820096
c1: 127215709289993123278450642819235136344
c2: -4044404736168195860092995711213
c3: 6464539151332783568386
c4: 73658884688612
c5: 56880
skew: 240712093.47
# size 3.986e-18, alpha -7.357, combined = 4.010e-14 rroots = 5

Max0526 · 2018-10-02, 23:22

Found around March 2018 by VBCurtis (?)
cofactor of Lucas(1474)
https://pastebin.com/Cpa3kkxD

Code:

n: 26344468712236530423797916143826123465494219224317089025030361578335253056725981896458615839919123267966897312173305975822681816490929409301986919989795099887955980994999161250371335363 
Y0: -311005990823690712107394370023460576 Y1: 76079692920236591
c0: -42981185782027470694934568728442819187535283
c1: 6734313623494452384253453089443794209
c2: 1672086468743572388958468570367
c3: -37723002888675628057713
c4: 86105104766760
c5: 9054108
skew: 35406050.50
# size 4.155e-18, alpha -7.653, combined = 4.146e-14 rroots = 3

Dylan14 · 2018-11-07, 16:14

Cofactor of (77*10^216-23)/9:
http://stdkmd.com/nrr/c.cgi?q=85553_216

Code:

# Murphy_E = 6.95321949e-12, selected by Dylan Delgado 
# found with Cado-NFS commit 5fa780ec6 
n: 427263969208137999331968304286330856723766244470504981171770980197876930829340332580839035736465808219684588225857824749721764667425402707684035428593 
Y0: -119695942376979610274425320581 
Y1: 651293917593566978249 
c0: 30453728046661282292711284542768444 
c1: 145797697475818831619829718612 
c2: -332379210635192301302607 
c3: -140711930268955153 
c4: 254374293954 
c5: 102960 
skew: 1110377.76652

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