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

RichD 2019-09-27 22:21

C179 Poly
 
I've completed 8-10M and it is not getting any better. If this can't be spun up then perhaps CADO can achieve the desired results.
[CODE]R0: -23565299111020398581002744422310860
R1: 44596742390301593
A0: 6607028310276550170231100255550080119118027
A1: 2789787445350072878559842025240848792
A2: -21834449294609322517765130809
A3: -14847487943043286222040
A4: 95055565562130
A5: 8659980
skew 22749253.63, size 1.373e-17, alpha -7.009, combined = 8.570e-14 rroots = 5[/CODE]

swellman 2019-09-28 19:26

C179
 
[CODE]
# norm 1.854038e-17 alpha -7.860514 e 9.170e-14 rroots 3
skew: 31004231.80
c0: -8508944845450612246398024425627878444041117
c1: 3470226480878412283801339479307981949
c2: -427710997748219481879188495223
c3: -8353565433576343895301
c4: 502818049375300
c5: 3850392
Y0: -27712476962074895681463139986093050
Y1: 60669631907002207
[/CODE]

Finally broke 9, but I agree maybe CADO is the way forward.

swellman 2019-09-29 20:36

C179
 
Got CADO running, should have a poly for the C179 by Wednesday night.

swellman 2019-10-02 20:00

C179 CADO
 
[CODE]n: 62933469061335540106807936298327874448638377986945863197760785525372837825198370470531794398015301457415136423514956791972024770931875426233642393792271758240069039032418524326531
skew: 33314706.736
c0: 1696950249989047093307243851647750966935960
c1: 536225015019478055386790479504387874
c2: 28237009017169385089558171277
c3: -1151396710921353445975
c4: -5038375303211
c5: 215280
Y0: -49337358911732499692222619840693987
Y1: 7281888111814819398709
# MurphyE (Bf=4.295e+09,Bg=2.147e+09,area=2.416e+16) = 1.67e-08
# found by revision 52ac92746
# f(x) = 215280*x^5-5038375303211*x^4-1151396710921353445975*x^3+28237009017169385089558171277*x^2+536225015019478055386790479504387874*x+1696950249989047093307243851647750966935960
# g(x) = 7281888111814819398709*x-49337358911732499692222619840693987
[/CODE]

Cownoise gives 39090467.79180 for an optimal skew, with an e-score of 1.05512321e-13.

While this value is short of the [url=https://www.mersenneforum.org/showpost.php?p=503952&postcount=134]C179 poly score record[/url], it is not bad wrt the trend line. Certainly better than anything RichD and I found using msieve.

Max0526 2019-10-02 22:08

C179 poly
 
[QUOTE=swellman;526832][CODE]
# norm 1.854038e-17 alpha -7.860514 e 9.170e-14 rroots 3
skew: 31004231.80
c0: -8508944845450612246398024425627878444041117
c1: 3470226480878412283801339479307981949
c2: -427710997748219481879188495223
c3: -8353565433576343895301
c4: 502818049375300
c5: 3850392
Y0: -27712476962074895681463139986093050
Y1: 60669631907002207
[/CODE]

Finally broke 9, but I agree maybe CADO is the way forward.[/QUOTE]
This one spins up:[code]R0: -27712476962086196795807353008197561
R1: 121339263814004414
A0: -1146267538171891657850866535028945436205100
A1: 907171494831029365659560890963033745
A2: -211469217978274047679827489072
A3: -8726875144831406749221
A4: 998463858060440
A5: 15401568
skew: 16093772.66
# size 1.625e-17, alpha -8.034, combined = 9.604e-14 rroots = 3[/code]

Max0526 2019-10-02 22:11

C179 poly
 
[QUOTE=swellman;527196][CODE]n: 62933469061335540106807936298327874448638377986945863197760785525372837825198370470531794398015301457415136423514956791972024770931875426233642393792271758240069039032418524326531
skew: 33314706.736
c0: 1696950249989047093307243851647750966935960
c1: 536225015019478055386790479504387874
c2: 28237009017169385089558171277
c3: -1151396710921353445975
c4: -5038375303211
c5: 215280
Y0: -49337358911732499692222619840693987
Y1: 7281888111814819398709
# MurphyE (Bf=4.295e+09,Bg=2.147e+09,area=2.416e+16) = 1.67e-08
# found by revision 52ac92746
# f(x) = 215280*x^5-5038375303211*x^4-1151396710921353445975*x^3+28237009017169385089558171277*x^2+536225015019478055386790479504387874*x+1696950249989047093307243851647750966935960
# g(x) = 7281888111814819398709*x-49337358911732499692222619840693987
[/CODE]

Cownoise gives 39090467.79180 for an optimal skew, with an e-score of 1.05512321e-13.

While this value is short of the [url=https://www.mersenneforum.org/showpost.php?p=503952&postcount=134]C179 poly score record[/url], it is not bad wrt the trend line. Certainly better than anything RichD and I found using msieve.[/QUOTE]
Msieve gets the following (the same E):[code]Y0: -49337317660054802904625170736170257
Y1: 7281888111814819398709
c0: 5427571337934650262418231160595203062274040
c1: 742741834941164928789287472089676754
c2: 8090357879226658426323644627
c3: -1196478280441860800655
c4: 1059398404789
c5: 215280
skew: 40941932.03
# size 1.896e-17, alpha -6.050, combined = 1.056e-13 rroots = 5[/code]

swellman 2019-10-05 19:53

C179
 
Thanks to RichD and Max for all their work. I played with CADO for another week and found nothing better than that reported above. The job has now been queued in 15e for sieving.

Much appreciated!

swellman 2019-10-16 11:10

C185 Poly needed
 
The latest term in AS 3366 is C185_3366_2194:

[CODE]
48427554071403254933544130089025533493522277589651092400710320434290160236946644598408857040687162164459028084658660898215945794349265273715322667428371645490246209893863263844759204579
[/CODE]

It has undergone ECM up through 28,000 curves @B1=260M.

Any help is appreciated. I’ll reserve 2M < c5 < 4M.

Eta: Point of reference, Msieve is expecting a poly E from 3.98e-14 to > 4.58e-14. The [url=https://www.mersenneforum.org/showpost.php?p=503952&postcount=134]record e-score for a C185[/url] is 4.146e-14.

RichD 2019-10-16 14:37

C185
 
I'll start at 4M shortly.

swellman 2019-10-22 20:14

C185
 
Finished 2-4M range.

[CODE]
# norm 4.623547e-18 alpha -6.931522 e 3.976e-14 rroots 3
skew: 45178221.07
c0: 146113599001626222272374643849841295018389120
c1: 12573335207392911897434289080457555694
c2: -493738003702776477638305226681
c3: -19658325179604610166148
c4: -72307593376520
c5: 3468600
Y0: -425586323325060881770555963431527891
Y1: 192747695736882067
[/CODE]

With luck, it may spin above 4.

RichD 2019-10-25 20:36

C185
 
Hopefully this can spin too.
[CODE]R0: -390628901167128183065815925184301952
R1: 836999118567137813
A0: -32064433509700869581220024980356057618752825
A1: 6274558545732199874748127663962121215
A2: -238270318436179230835304686947
A3: -7596777714949409758439
A4: 804920254633636
A5: 5324400
skew 28791813.14, size 3.931e-18, alpha -6.879, combined = 4.002e-14 rroots = 3[/CODE]


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