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Old 2020-02-23, 21:55   #155
swellman
 
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Jun 2012

2,719 Posts
Default C185

Found by Max026 in April 2019, a C185 cofactor of R1620L / (10^810+1)

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
https://www.mersenneforum.org/showpo...postcount=1742

Last fiddled with by swellman on 2020-02-23 at 22:14
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Old 2020-02-23, 22:00   #156
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2,719 Posts
Default C162

A cofactor Aliquot sequence 3366:i2193, found by Max026 in July 2019.

https://www.mersenneforum.org/showpo...postcount=1808

Code:
Y0: -14746203136816823944613660192562
Y1: 21823399221738572899
c0: 119595929340090554827356446639608491975
c1: 158467115924738283758548791610975
c2: -111894390619333624786737429
c3: -99793395630116531767
c4: 16117210329462
c5: 2237040
skew: 2768078.21821
# lognorm 50.62, E 42.81, alpha -7.81 (proj -2.30), 5 real roots
# MurphyE = 1.25115306e-12

Last fiddled with by swellman on 2020-02-23 at 22:13
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Old 2020-02-23, 22:12   #157
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Jun 2012

2,719 Posts
Default C210 degree 5

Found as part of the Cunningham project, a C210 cofactor of 2,2330M.

Original polynomial found by vebis in May 2019
https://www.mersenneforum.org/showpo...7&postcount=19

Spun by Max026
https://www.mersenneforum.org/showpo...5&postcount=23

Code:
Y0: -32507833225037839767840650843314231647994
Y1: 764359993484535911177455197
c0: 29987435198398762895919247712393166012400831223945
c1: -587261530799781299842607052297040304406308
c2: -2409951884745805314585370289177891
c3: 763718980929064777349444
c4: -17370807393462090
c5: 50058540
skew: 332566281.62634
# lognorm 65.54, E 57.50, alpha -8.04 (proj -2.48), 3 real roots
# MurphyE = 1.18869319e-15

Last fiddled with by swellman on 2020-02-23 at 22:13
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Old 2020-02-23, 22:20   #158
swellman
 
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Jun 2012

2,719 Posts
Default C211

From 2,2330L found by vebis in May 2019
https://www.mersenneforum.org/showpo...2&postcount=89

It was further spun by Max026
https://www.mersenneforum.org/showpo...6&postcount=93

Code:
Y0: -5445783020173886700337776518838434019565
Y1: 7944276133277038369411468
c0: 24745062283834793771655911246007349221232259556
c1: 3638239206861172772594019092164033469860
c2: -543588643271079731014156451777817
c3: -15037081380967059802226545
c4: 618838392632323536
c5: 3351015360
skew: 32629082.89
# size 2.319e-20, alpha -7.604, combined = 1.671e-15 rroots = 5
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Old 2020-02-23, 22:29   #159
swellman
 
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Jun 2012

271910 Posts
Default C217 degree 6

From Cunningham 2,1165+, found by VBCurtis with improvement by Gimarel in December of 2019
https://www.mersenneforum.org/showpo...7&postcount=16

It was spun higher by Max026
https://www.mersenneforum.org/showpo...4&postcount=47

Code:
Y0: -260968666439530399918037023459605116
Y1: 38337191767287578050825267
c0: -7196950527960991555193580748097474856362083938
c1: -185821459719837526919356848735242248023269
c2: -13272626163537786723022096770871759
c3: 18948859018327120212361982771
c4: 247383589152687754249
c5: -17631163093470
c6: 307800
skew: 12177468.53879
# lognorm 61.88, E 50.91, alpha -10.97 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=7.09307485e-16
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Old 2020-02-23, 22:39   #160
swellman
 
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Jun 2012

2,719 Posts
Default C217 degree 5

Found in January of 2020 by me as part of the 2,1165+ Cunningham effort.
https://www.mersenneforum.org/showpo...1&postcount=33

Spun by Max026.
https://www.mersenneforum.org/showpo...8&postcount=45

Though a record e-score, ultimately this polynomial was never used for a GNFS job.

Code:
Y0: -319154103273695928190552289959192641142053
Y1: 112133562803551313296282498
c0: 998948860466322315779636068194177185404977857456
c1: -63173211469851462649297026734535945822936
c2: 14609182693856061217887437854035851
c3: -444710848676934482139797820
c4: -1732258472013681067
c5: 1941079140
skew: 105094248.92076
# size 2.563e-21, alpha -7.535, combined = 4.024e-16 rroots = 3
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Old 2020-03-13, 12:19   #161
swellman
 
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A9F16 Posts
Default Record polynomials as of March 2020

Code:
Digits Score        Found by              Date     Number
145    1.394e-11    fivemack              04-16    ?
146    1.232e-11    Max0526               02-17    (136*10^208-1)/9
147    1.034e-11    Max0526               03-17    (10^215+54*10^107-1)/9
148    9.335e-12    Max0526               02-17    (59*10^229+13)/9
149    7.912e-12    Max0526               03-17    (56*10^225-11)/9
150    7.312E-12    Max0526               03-19    (77*10^216-23)/9
151    6.514e-12    lorgix/spin           11-17    547^97-1
152    5.193e-12    fivemack              04-16    ?
153    4.496e-12    RichS                 09-17    434040:3059
154    3.821e-12    Max0526               02-17    (17*10^222-53)/9
155    3.922e-12    Jayson King           11-12    RSA-155
156    2.893e-12    Max0526               03-17    (65*10^224-11)/9
157    2.776e-12    Max0526               02-17    (49*10^243-31)/9
158    2.430e-12    Max0526               02-17    (86*10^228-23)/9
159    2.051e-12    fivemack              04-16    9436:1335
160    1.673e-12    Max0526               02-17    (13*10^242-31)/9
161    1.471e-12    unconnected           02-16    933436:12438
162    1.251E-12    Max0526/spin          07-19    3366:i2193
163    1.096e-12    Max0526               03-17    (46*10^232+71)/9
164    9.26e-13     VBCurtis              01-16    13*2^797-1
165    8.531e-13    Max0526               09-17    (34*10^236-7)/9
166    7.11e-13     chris2be8             04-14    3408:1399
167    6.902e-13    fivemack              04-16    8154:2379
168    5.32e-13     sashamkrt             10-13    xyyx130_119
169    4.536E-13    Max0526/spin          04-19    1686__9863_3-1	
170    3.910e-13    RichD                 02-16    P226+1 (wblipp)
171    3.730e-13    Max0526               02-17    (4*10^261-13)/9
172    3.338e-13    Max0526               12-16    13*2^905-1
173    2.669e-13    RichD                 07-18    3867675755483^19-1
174    2.010e-13    Max0526               03-17    (10^283+179)/9
175    1.977e-13    swellman              03-18    xyyx142_130
176    1.753E-13    swellman	          02-20    HCN11-5_281
177    1.545e-13    richs/spin            11-18    829332:3673
178    1.299E-13    fivemack/spin         09-17    F1585
179    1.226e-13    VBCurtis/spin         03-18    13*2^914-1
180    1.007e-13    CADO team             03-18    RSA-180
181    8.663E-14    Gimarel/spin          06-18    OPN 255xx161_3
182    6.732e-14    E. Branger            08-17    (7*10^294-61)/9
183    6.160e-14    fivemack              09-16    xyyx118_127
184    5.568E-14    RichD/spi             06-18    xyyx137_92	
185    4.545E-14    Max0526/spin          04-19    R1620L/(10^810+1)
186    4.010e-14    fivemack              10-18    L3265B
187    3.728E-14    Max0526	          10-18    R(1980)
188    3.293E-14    Gimarel	          09-18    xyyx150_83
189    2.468E-14    RichD/spin	          09-18    xyyx149_128
190    2.261e-14    CADO team             05-18    RSA-190
191    2.028e-14    fivemack              09-16    3,790+	
192    1.806E-14    Gimarel/sp            02-19    L1532
193    1.458e-14    CADO team             05-18    RSA-640
194    1.221e-14    RichD                 07-15    4788:5236
195    1.021e-14    swellman/spin         02-18    3366:2180
196    1.002E-14    VBCurtis/spin         03-19    4788:12534
197    7.867e-15    RichD/spin            04-18    4788:12515
198    7.15e-15     Gimarel               01-16    E-M
199    5.111e-15    Max0526               10-16    10,515+
200    5.370e-15    CADO team             05-18    RSA-200
202    3.665e-15    fivemack              01-18    139!+1
204    2.630e-15    E.Branger/spin        09-18    (64*10^335-1)/9
205    2.215e-15    Gimarel/spin          05-18    276:2122
206_5  2.111E-15    VBCurtis/spin         03-19    xyyx139_123	
206_6  1.953E-15    swellman/spin	  03-19    xyyx139_123
207_5  1.627e-15    wombatman+CADO        04-17    Cofactor of Home Primes Base 2 4496 index number 310
207_6  1.568e-15    firejuggler+CADO      04-17    Cofactor of Home Primes Base 2 4496 index number 310
208_5  1.439e-15    E. Branger            08-17    (64*10^329-1)/9
210_5  1.188E-15    vebis/spin	          05-19    2,2330M
210_6  1.491e-15    CADO team             05-18    RSA-210
211_5  1.671E-15    vebis/spin	          05-19    2,2330L
212_5  6.435e-16    frmky?                11-15    6,490+
212_6  9.426e-16    Shi Bai et al         07-12    RSA-704 (CADO)
216_6  4.66e-16     frmky                 08-13    3,766+
216_5  3.61e-16     Gimarel               08-13    3,766+
217_5  4.024E-16    swellman/spin	  01-20    2,1165+	
217_6  7.093E-16    VBCurtis-Gimarel/spin 12-19    2,1165+
218_5  2.637e-16    frmky?                05-16    2,1285-
220_6  3.884e-16    CADO team             05-18    RSA-220
221_6  3.36e-16     Gimarel               12-13    3,697+
Please PM me with any corrections.

Last fiddled with by swellman on 2020-03-15 at 01:44
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