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

Max0526 2019-03-06 03:27

C206 poly request
 
Do you have any degree 5 polys with E > 1.38e-15 and c5 != 1,375,920 (c5 <> 1,375,920)? I would be willing to look at those. I can spin degree 5 fast. Degree 6 will have to wait until next week (I have to rewrite the code first). Also, my bet is that we'll select degree 5 at the end. It seems that degree 6 kicks in around 210 digits.

VBCurtis 2019-03-06 03:40

Max-
A couple days of msieve on deg 5 at 25M have produced dozens in the 1.50-1.60 range. I think it's only worth trying to spin 1.60+, but here's a 1.59 if you'd like to try:
[code]R0: -4177886998504673839267797038195858288700
R1: 68594532866474101043
A0: -37097454368849674234216475097903814390381474408431067
A1: 132595988249155565210304625488388501646238865
A2: 116634742200854444397334840509514249
A3: -124398790132827207582212689
A4: -56434138951109574
A5: 25164216
skew 1498566310.97, size 2.295e-20, alpha -9.200, combined = 1.590e-15 rroots = 5[/code]
At 25M, skew of most of the 1.5's is ~1e9, much too high. I'll be searching at 95M once I reach 26M; I won't search 26-27M. That is, reserving 95-97M.

Max0526 2019-03-06 12:14

C206 poly
 
[QUOTE=VBCurtis;510219]Max-
A couple days of msieve on deg 5 at 25M have produced dozens in the 1.50-1.60 range. I think it's only worth trying to spin 1.60+, but here's a 1.59 if you'd like to try:
[code]R0: -4177886998504673839267797038195858288700
R1: 68594532866474101043
A0: -37097454368849674234216475097903814390381474408431067
A1: 132595988249155565210304625488388501646238865
A2: 116634742200854444397334840509514249
A3: -124398790132827207582212689
A4: -56434138951109574
A5: 25164216
skew 1498566310.97, size 2.295e-20, alpha -9.200, combined = 1.590e-15 rroots = 5[/code]At 25M, skew of most of the 1.5's is ~1e9, much too high. I'll be searching at 95M once I reach 26M; I won't search 26-27M. That is, reserving 95-97M.[/QUOTE]
A bit better:[code]Y0: -4177886998504187035597708791667827396053
Y1: 137189065732948202086
c0: -4518826701781363287890699276367761846633445070615488
c1: 33558146374054519037972045976222399198316124
c2: 56984633747642980249897121773262471
c3: -125988129915597849957415513
c4: -111082416523508508
c5: 100656864
skew: 750001262.57
# size 2.299e-20, alpha -9.201, combined = 1.602e-15 rroots = 5[/code]

swellman 2019-03-11 15:18

C206 deg 5
 
Best in a while, pretty low score

[CODE]# norm 2.509242e-20 alpha -8.863938 e 1.479e-15 rroots 5
skew: 1306865879.73
c0: -5699785856791712957615225173893355353993165502888248
c1: 42549128384632444922964683166728649297253338
c2: 5152623409461489755772035282851661
c3: -225473563424343432585582188
c4: -14273912862398668
c5: 9554160
Y0: -5070781160046776526517512656936782144985
Y1: 10638041167890073037
[/CODE]

Continuing on to c5 = 11M.

Gimarel 2019-03-11 16:30

C206 deg5
 
I have two polys above 1.6e-15, but nothing in the target range.
[CODE]# norm 2.884612e-20 alpha -8.043535 e 1.637e-15 rroots 5
skew: 111507424.17
c0: -2236127010315825769236356155440394764162592606975
c1: 303656893527043807373953348884882840129270
c2: 11705035067054292228892634284340788
c3: 13557252824951395563642354
c4: -900376385969324205
c5: 1924322400
Y0: -1754921937910607790145736516724554227572
Y1: 273906203458698036371

# norm 2.957026e-20 alpha -8.597542 e 1.653e-15 rroots 5
skew: 225946965.14
c0: 140068211059805441000529973853435164324094745197280
c1: 176263862075893784949483187187363925565236
c2: -20705379002454011036940994937227256
c3: 6638599509749337899900479
c4: 543869250012084486
c5: 174636000
Y0: -2835871936833451430770321350640266234443
Y1: 512329413011532825239[/CODE]

Max0526 2019-03-13 01:31

[QUOTE=Gimarel;510601]I have two polys above 1.6e-15, but nothing in the target range.
[CODE]# norm 2.884612e-20 alpha -8.043535 e 1.637e-15 rroots 5
skew: 111507424.17
c0: -2236127010315825769236356155440394764162592606975
c1: 303656893527043807373953348884882840129270
c2: 11705035067054292228892634284340788
c3: 13557252824951395563642354
c4: -900376385969324205
c5: 1924322400
Y0: -1754921937910607790145736516724554227572
Y1: 273906203458698036371

# norm 2.957026e-20 alpha -8.597542 e 1.653e-15 rroots 5
skew: 225946965.14
c0: 140068211059805441000529973853435164324094745197280
c1: 176263862075893784949483187187363925565236
c2: -20705379002454011036940994937227256
c3: 6638599509749337899900479
c4: 543869250012084486
c5: 174636000
Y0: -2835871936833451430770321350640266234443
Y1: 512329413011532825239[/CODE][/QUOTE]
The first poly doesn't spin, the second one is a bit better:[code]Y0: -2835871936833936093370371434669876677965
Y1: 1024658826023065650478
c0: 17485366389687288999039681430863160587021635746792
c1: 53863584547789884211601412592666569875378
c2: -10360650247529542753484058335231359
c3: 4582165457555151046992367
c4: 1086086446956888972
c5: 698544000
skew: 113082098.14
# size 2.448e-20, alpha -8.598, combined = 1.664e-15 rroots = 5[/code]

VBCurtis 2019-03-13 01:50

My first 1.60 on the C206:
[code]# norm 2.785852e-20 alpha -7.694103 e 1.618e-15 rroots 5
skew: 289796253.26
c0: 49363543917318791307243488441265829313753719031640
c1: 821583907334618136513423765160670567301816
c2: -7063156489832083891124118286350032
c3: -40011718521721828221257005
c4: 101302300835325942
c5: 99708264
Y0: -3172248050036199590967414513167384103163
Y1: 28384145058553798991[/code]
I've run 95-101M, continuing to at least 105M. I'm using stage1norm loose enough (7e29 give or take) that I'm running "piece n of 8" or "piece n of 12", so anyone can overlap my search range with hardly any waste of effort.

Max0526 2019-03-13 13:30

C206 poly
 
[QUOTE=VBCurtis;510696]My first 1.60 on the C206:
[code]# norm 2.785852e-20 alpha -7.694103 e 1.618e-15 rroots 5
skew: 289796253.26
c0: 49363543917318791307243488441265829313753719031640
c1: 821583907334618136513423765160670567301816
c2: -7063156489832083891124118286350032
c3: -40011718521721828221257005
c4: 101302300835325942
c5: 99708264
Y0: -3172248050036199590967414513167384103163
Y1: 28384145058553798991[/code]I've run 95-101M, continuing to at least 105M. I'm using stage1norm loose enough (7e29 give or take) that I'm running "piece n of 8" or "piece n of 12", so anyone can overlap my search range with hardly any waste of effort.[/QUOTE]
Can't spin this one, sorry.

Max0526 2019-03-14 22:27

C206 poly degree 6
 
[QUOTE=swellman;510212][CODE]# norm 6.662894e-15 alpha -9.134665 e 1.699e-15 rroots 6
skew: 5442451.72
c0: -4167976492353839289329841939164864718615150765
c1: 23842371361320783282270816024329206803570
c2: 6456627008274315343084687234941697
c3: -2185722867108028051159990061
c4: -333002463294833171396
c5: 55204208909859
c6: 2419032
Y0: -1538110509019924623644547756159622
Y1: 37440602880485897
[/CODE]Maybe it can be spun higher by Max, however the Crombie tool offered little improvement.

Now back to searching deg 5 in 9-11M range with Msieve.[/QUOTE]
This one spins a bit higher:[code]Y0: -1538110509020104375978976968951119
Y1: 74881205760971794
c0: -535286831610710194798762751821201298078023600
c1: 5945055959053928254238681238992761412070
c2: 3244030930107740287434936150209597
c3: -2179315168806881651433735327
c4: -668653607927756486422
c5: 220538105096268
c6: 19352256
skew: 2721348.84
# size 5.852e-15, alpha -9.597, combined = 1.767e-15 rroots = 6[/code]

VBCurtis 2019-03-14 22:54

CADO sends warm regards for our C206:
[code]R0: -12601258825545276113806892086568209032311
R1: 371662080727495174910581769
A0: 874708573977327989079213908166025283601524526316032
A1: -1016897532213206546994807128393281224899768
A2: -4765540714559627430714382742228252
A3: 2352509367951779125835982
A4: 2019390882502791
A5: 705600
skew 1201838327.26, size 2.596e-20, alpha -7.662, combined = 1.786e-15 rroots = 3[/code]
Skew is super-high, but I wager it'll test-sieve better than the mid-1.6 polys we have found so far; perhaps Max's spin can halve the skew without hurting score much.

VBCurtis 2019-03-15 00:27

Another pretty good one from msieve:
[code]# norm 2.861734e-20 alpha -8.135482 e 1.641e-15 rroots 3
skew: 337025857.62
c0: -31457341673727994357991909229335026863473566329600
c1: 1331414760494355651163380007690621767575856
c2: -13625330957293497120450703031291620
c3: -53242422612500072100095716
c4: 120731530177491365
c5: 101664900
Y0: -3159942372537343778069833854769681933927
Y1: 6310295104659930539[/code]
Continuing to 105M, then I'll jump to 180M.


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