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

RichD 2018-03-07 03:34

Yep, you're right. I ran a 500 block to check it out and mine was 1-2% better. Enough testing. Off to the salt mines...

RichD 2018-03-10 00:12

C166 poly
 
From the OPN list. Can this be tweaked?
It is within the range so don't do too much work on it.
[CODE]N: 1407881584907180607948685317019832715417587569623090798213144268275829243110822281390733648807521735048757568056879492657992663715412865944022335241300683482629767987
# 75530533451743557525338385814839050445571761854876146017004062930526523488696122961481^3-1
# expecting poly E from 6.11e-13 to > 7.03e-13
R0: -104106305266604742527397703090184
R1: 337692328325489
A0: -7169806242551647659937136588685794115405
A1: 15243629559466206672892964697867510
A2: -1138336935775737851364781151
A3: -315497699423677780349
A4: 2808191956575
A5: 115128
skew 17492965.34, size 3.685e-16, alpha -7.248, combined = 6.198e-13 rroots = 5[/CODE]

swellman 2018-03-11 02:43

C177_134_73 Poly
 
Can anyone help me with a poly search for C177_134_73, a xyyx stub remaining after yoyo@Home found a factor? I’ve started on the range up to 1M.

For reference, the record e-score for a C177 is held by Max at e=1.448e-13.

[code]n: 180189746142952844436124262037686342047932954306939405380401568534712179225777244095963902399806570252212701396365362103075796904850851875771907195646912199042073818244500029371[/code]

Thanks.

swellman 2018-03-11 02:47

[QUOTE=RichD;481968]From the OPN list. Can this be tweaked?
It is within the range so don't do too much work on it.
[CODE]N: 1407881584907180607948685317019832715417587569623090798213144268275829243110822281390733648807521735048757568056879492657992663715412865944022335241300683482629767987
# 75530533451743557525338385814839050445571761854876146017004062930526523488696122961481^3-1
# expecting poly E from 6.11e-13 to > 7.03e-13
R0: -104106305266604742527397703090184
R1: 337692328325489
A0: -7169806242551647659937136588685794115405
A1: 15243629559466206672892964697867510
A2: -1138336935775737851364781151
A3: -315497699423677780349
A4: 2808191956575
A5: 115128
skew 17492965.34, size 3.685e-16, alpha -7.248, combined = 6.198e-13 rroots = 5[/CODE][/QUOTE]

What range(s) did you search to date? I can throw some cycles at it later this week.

RichD 2018-03-11 22:34

C177_134_73 Poly
 
I'll take the range 1-2M for the C177 overnight and see where it is at in the morning.

My C166 poly went to 1.5M. It is within the expected range so I'll go with it unless a simple optimization can be performed. (meaning, very little time and effort)

swellman 2018-03-11 22:52

[QUOTE=RichD;482103]I'll take the range 1-2M for the C177 overnight and see where it is at in the morning.[/quote]

Thank you. I’m still plowing through 1-1M, so far no big flares.

[quote]
My C166 poly went to 1.5M. It is within the expected range so I'll go with it unless a simple optimization can be performed. (meaning, very little time and effort)[/QUOTE]

Ok. I was going to run 1.5-2M, but if you’re happy with your poly then I’ll leave it alone. Maybe Max will have some luck with his magic.

Max0526 2018-03-12 02:53

C166
 
Funny story. If you feed RichD's poly (and the best CADO poly) into msieve, the best you get is:
[code]
# norm 3.892777e-016 alpha -7.508022 e 5.697e-013 rroots 3
skew: 33516711.69
c0: -813954026271514985115453666253305627542205
c1: 122749621979253815859008798036386093
c2: -3541527005963195395605442250
c3: -276920241730867737629
c4: 4357672077855
c5: 115128
Y0: -104106305265695758527242911423456
Y1: 337692328325489
[/code]Here I list several CADO/msieve polys with the E above 5.697e-013 (some with the scaled c5). I have a feeling you will figure out what to do next.
Also, comparing the top two below, the second best has a better lognorm, better alpha, and better lognorm+alpha, but worse Murphy E. I don't think I ever saw a discrepancy like this before. Handle with care.
[code]
Y0: -104106305266714912285667595598011
Y1: 337692328325489
c0: -12253105424121934595805367740708235802320
c1: 15885255438270190263257049681040133
c2: -827796833440513771248412640
c3: -319039775392173358529
c4: 2620393436055
c5: 115128
skew: 17503305.95771
# lognorm 52.52, E 45.27, alpha -7.25 (proj -1.58), 5 real roots
# MurphyE = 6.19797153e-13
[/code][code]
Y0: -104106305266716320462676712887141
Y1: 337692328325489
c0: 32155667451670485009582595658372429788100
c1: 26823304672709919230358683586984368
c2: -823805372574740140649294195
c3: -319083463535193963929
c4: 2617993017255
c5: 115128
skew: 20424256.24453
# lognorm 52.50, E 45.21, alpha -7.29 (proj -1.58), 5 real roots
# MurphyE = 6.10789085e-13
[/code][code]
Y0: -208212610533560113700834388012980
Y1: 337692328325489
c0: 681900681010162463191383563734889550268248
c1: 107489230712021153178486567361396298
c2: -2570324600252957402087938187
c3: -642037883555956828138
c4: 2509346148015
c5: 57564
skew: 32331385.10475
# lognorm 53.64, E 45.35, alpha -8.29 (proj -1.58), 5 real roots
# MurphyE = 5.91362635e-13
[/code][code]
Y0: -104106305263272864023818150067894
Y1: 337692328325489
c0: 384113213835626871149038056306695718605925
c1: 37126850394105767719489053987085305
c2: -7730929368600757237215436616
c3: -92591260244211049349
c4: 8487807336975
c5: 115128
skew: 28643348.48122
# lognorm 53.11, E 45.72, alpha -7.39 (proj -1.58), 5 real roots
# MurphyE = 5.87222890e-13
[/code][code]
Y0: -208212610533536010573207827910116
Y1: 337692328325489
c0: -58777355893877578491392386318234539769800
c1: 107112502742958609275129540476503290
c2: -2707725975178324592853339371
c3: -641318522576121392938
c4: 2529889588335
c5: 57564
skew: 33671660.94235
# lognorm 53.51, E 45.21, alpha -8.30 (proj -1.58), 5 real roots
# MurphyE = 5.85613887e-13
[/code][code]
# norm 3.903051e-016 alpha -8.195244 e 5.737e-013 rroots 5
skew: 33611354.54
c0: 404190809376249608174260701439670211833448
c1: 110292885753560897776447468284171498
c2: -1085907686614089874894639787
c3: -649390819888918226638
c4: 2288811268515
c5: 57564
Y0: -208212610533818862005105585822005
Y1: 337692328325489
[/code]

Max0526 2018-03-12 02:55

C177_134_73
 
Please post your baseline polys. It'll be fun to play with them.

RichD 2018-03-12 23:11

C177_134_73 Poly
 
Baseline for C177_134_73. Nothing to write home about.
It was for 1.0-1.5M. I will continue 1.5-2.0M overnight.
[CODE]N: 1645198996771698287519863000103286845983679086526137651458314721270137400493141395353109314720582263630795645925431899925091171439403445582834679495769727909407
# expecting poly E from 1.29e-13 to > 1.49e-13
R0: -11076644037485748221134825565318791
R1: 98911503684217943
A0: -1043411679487906579968957819159671070750600
A1: 464499391241039606058977954406925110
A2: -47567462043883205197292892603
A3: -3215797573833890885156
A4: 73930705040762
A5: 1080660
skew 25658828.99, size 2.608e-17, alpha -6.800, combined = 1.270e-13 rroots = 3[/CODE]

swellman 2018-03-13 01:12

C177_134_73
 
No flares yet, still crawling to 1M.

[code]
R0: -18339439133269527213470150085058665
R1: 10517403166096921
A0: 12676502609012934681869453567415380933471336
A1: -2731518181219809514191051612747737206
A2: -84887256264906217370830194855
A3: 6731789067454155968500
A4: 28776296074444
A5: 86856
skew 51326363.42, size 2.596e-17, alpha -7.650, combined = 1.251e-13 rroots = 3
[/code]


[code]
R0: -14696737678018961670703917917997292
R1: 19605121915308919
A0: -395747613614108171782365862032115533245889495
A1: 29556135041366032031161358335109699397
A2: 181017802935713853137892423089
A3: -16874255139583411435277
A4: -37040563560994
A5: 262800
skew 94698398.07, size 2.500e-17, alpha -8.185, combined = 1.219e-13 rroots = 5
[/code]


Also ran a few attempts on C166 but no love. Running 1.5-2M overnight.

Max0526 2018-03-13 01:56

[QUOTE=RichD;482193]Baseline for C177_134_73. Nothing to write home about.
It was for 1.0-1.5M. I will continue 1.5-2.0M overnight.
[CODE]N: 1645198996771698287519863000103286845983679086526137651458314721270137400493141395353109314720582263630795645925431899925091171439403445582834679495769727909407
# expecting poly E from 1.29e-13 to > 1.49e-13
R0: -11076644037485748221134825565318791
R1: 98911503684217943
A0: -1043411679487906579968957819159671070750600
A1: 464499391241039606058977954406925110
A2: -47567462043883205197292892603
A3: -3215797573833890885156
A4: 73930705040762
A5: 1080660
skew 25658828.99, size 2.608e-17, alpha -6.800, combined = 1.270e-13 rroots = 3[/CODE][/QUOTE]

@RichD
The value of N is wrong here. It's a C160 cofactor of 70253804098533303996256039060114483059484940828633741987845788959049023444144179^3-1, not a C177_134_73. The poly is OK though, I am working on it.


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