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

VBCurtis 2018-05-27 18:47

Nice work, Max!
I'll test-sieve a few of these sometime this week; if the 2.2 sieves well, I think we have a winner. Once I have some stats on estimated Q-ranges, we can query fivemack and/or frmky to determine if this should be placed on 16e or 15e queue. This would be a record for GGNFS 15e, but such a record comes with a matrix more difficult than it would be on 16e.

On the GPU search, I'll complete 20M-36M by 1 June.

swellman 2018-05-27 21:02

I should be done with 8-10M this week. Maybe I’ll get a flare. But I’ll stop there unless further searching is necessary.

This would be a gargantuan 15e job!

Any ideas on the next target for poly searching? I’ve got three to choose from: C178-C184. They seem embarrassingly easy after this C205. But those are just suggestions.

Max0526 2018-05-27 21:21

C205
 
[QUOTE=VBCurtis;488469]...if the 2.2 sieves well, I think we have a winner.
[/QUOTE]
I'll have at least two more different 2.2s very soon, maybe today, my CADO is still brewing. They have high skews, but I might be able to scale them into lower skew/slightly lower E.

Max0526 2018-05-27 21:54

C205 poly
 
From CADO:
[code]
Y0: -6835530469366738944631084110540897907983
Y1: 52603066613593727963
c0: 46976321531687248611005273303088730586416373245000
c1: -374458268067783001798178714755430958616070
c2: 2435152138434358427610088643431425
c3: 1452490908818836045829348
c4: 5597998700378273
c5: 1261260
skew: 962689581.32403
# lognorm 65.02, E 56.61, alpha -8.41 (proj -2.15), 1 real root
# MurphyE = 2.21401522e-15
[/code]From msieve (different poly):
[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
[/code]I am still working on decreasing the skew for them.

Max0526 2018-05-28 02:52

C205 poly -- another 2.2
 
With lower skew:
[code]
Y0: -3417765234685962571651576126644668857069
Y1: 52603066613593727963
c0: 26672506749500539090388885427181626269119486552800
c1: -416567390082504247282413965059433311802210
c2: 2319939461371942019759480131484835
c3: -1265130248419467958459344
c4: 19905012441651092
c5: 10090080
skew: 515675888.80
# size 3.698e-20, alpha -8.412, combined = 2.200e-15 rroots = 1
[/code]

Max0526 2018-05-29 23:15

C205 poly
 
Same from CADO (different poly):
[code]
Y0: -3417765234683369472552255855031620729825
Y1: 52603066613593727963
c0: 11744081225452964617093610950973499835099103711944
c1: -187229155950260570330677946262018165629962
c2: 2435152099217106610128874595294307
c3: 2904981414581767707664240
c4: 22391994574486292
c5: 10090080
skew: 480734652.27460
# lognorm 65.37, E 56.96, alpha -8.41 (proj -3.08), 1 real root
# MurphyE = 2.19856662e-15
[/code]

Max0526 2018-05-30 04:31

next target
 
[QUOTE=swellman;488477]I should be done with 8-10M this week. Maybe I’ll get a flare. But I’ll stop there unless further searching is necessary.

This would be a gargantuan 15e job!

Any ideas on the next target for poly searching? I’ve got three to choose from: C178-C184. They seem embarrassingly easy after this C205. But those are just suggestions.[/QUOTE]
C183 would be great, if available. E.g., this number is waiting for its turn for a year and a half now: [URL]http://mersenneforum.org/showpost.php?p=448000&postcount=744[/URL]
Score to beat --> 6.160e-14

vebis 2018-05-30 10:00

c183
 
[QUOTE=Max0526;488604]C183 would be great, if available. E.g., this number is waiting for its turn for a year and a half now: [URL]http://mersenneforum.org/showpost.php?p=448000&postcount=744[/URL]
Score to beat --> 6.160e-14[/QUOTE]

my first try:

[CODE]n: 346779657259791246313554044276401199475050208141387409790076498969471905612322027394740984520613397049141959352962783652552620174555843715898338877709473791695077522065984368363437509
Y0: -75345421790844946058650521937421579
Y1: 7773265625208567917239
c0: 3581799033819895734892638579412853695920
c1: -7195592201236752143653492863331649
c2: -21779598038947952264246350434
c3: 15654760016763489977859
c4: 9716131537469120
c5: 2285015040
skew: 1008691.575
# lognorm 55.94, E 49.86, alpha -6.08 (proj -2.23), 3 real roots
# MurphyE(Bf=8.00e+07,Bg=4.00e+07,area=4.29e+16)=5.37e-12
[/CODE]

Max0526 2018-05-30 11:33

C183 poly
 
[QUOTE=vebis;488609]my first try:

[CODE]n: 346779657259791246313554044276401199475050208141387409790076498969471905612322027394740984520613397049141959352962783652552620174555843715898338877709473791695077522065984368363437509
Y0: -75345421790844946058650521937421579
Y1: 7773265625208567917239
c0: 3581799033819895734892638579412853695920
c1: -7195592201236752143653492863331649
c2: -21779598038947952264246350434
c3: 15654760016763489977859
c4: 9716131537469120
c5: 2285015040
skew: 1008691.575
# lognorm 55.94, E 49.86, alpha -6.08 (proj -2.23), 3 real roots
# MurphyE(Bf=8.00e+07,Bg=4.00e+07,area=4.29e+16)=5.37e-12
[/CODE][/QUOTE]
The correct skew and E for the poly above:
[code]
skew: 1278101.55748
E: 4.85554836e-14
[/code]It's better than the best C184. Great job, vebis!
I would suggest a baseline of 5e-14, than with some luck there is a chance to spin it into 6e-14.

swellman 2018-06-01 16:44

C205
 
[code]
R0: -3446587741968168148588787486996317053989
R1: 138588754602769476047
A0: 4708557182258081864848262202817231050727074949800
A1: -120273636716060853235493288980415358725410
A2: -1125826450423583552225653278422421
A3: 3020438176517097115692762
A4: -47647376758003786
A5: 9675180
skew 254635424.34, size 2.706e-20, alpha -7.284, combined = 1.766e-15 rroots = 3
[/code]

And that's a wrap on this C205.

swellman 2018-06-02 00:57

[QUOTE=Max0526;488611]The correct skew and E for the poly above:
[code]
skew: 1278101.55748
E: 4.85554836e-14
[/code]It's better than the best C184. Great job, vebis!
I would suggest a baseline of 5e-14, than with some luck there is a chance to spin it into 6e-14.[/QUOTE]

Ok I’ll run this over the range 1 < c5 < 2M, opening up the S1 and S2 max norms a bit more to potentially catch more/better flares. Looking for at least 5e-14.


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