Polynomial Request Thread

[richs]

Thanks so much, Sean. I will test sieve.

[LaurV]

Originally Posted by swellman

A new c169 record!

n: 3076538816413370801308728110492126338069643909625293377059672571969575770774818583263918182117734002872521071268623532170817382226467589824320978677267737644544872334299
skew: 4331378.46
c0: 339868728376424658232615961163007381125
c1: 853692065942027129610198601328605
c2: -188476908355219518022068759
c3: -112798311428147196729
c4: 26674974487406
c5: 1452360
Y0: -430163480459858697918448392674446
Y1: 158165359934887082098631
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=2.631e+15) = 4.145e-08
# skew 4331378.46, size 2.132e-016, alpha -6.891, combined = 4.648e-013 rroots = 3

Poly by CADO, optimal skew by cownoise and score by msieve.

Searching terminated.

Thanks a billion. Will start sieving in weekend.

[unconnected]

Hi, guys, after extensively ECM-testing I need a poly for this C189 coming from aliquot sequence 11040:i10209 :

142511357330466243476746690497051575928345729751366129422971474654704075568089404245440258486192592405061316915235821208519879617537091746369391499418464177318972566719274808703086801429397

Since the number is starting from 142..., there is a good chance to beat a record e-score.


My best poly so far (I'm searching 0M-5M):

# norm 1.894724e-18 alpha -6.655811 e 2.253e-14 rroots 5
skew: 75266545.70
c0: 753545999163595940067822094094581367635952775
c1: 9779981475089077072344551583115700440
c2: -2946633176349596562589560432473
c3: -28192506079899210059080
c4: 625484152820466
c5: 199728
Y0: -3721192207238732077084665946178550892
Y1: 25409780924749429507

[swellman]

Originally Posted by unconnected

Hi, guys, after extensively ECM-testing I need a poly for this C189 coming from aliquot sequence 11040:i10209 :

142511357330466243476746690497051575928345729751366129422971474654704075568089404245440258486192592405061316915235821208519879617537091746369391499418464177318972566719274808703086801429397

Since the number is starting from 142..., there is a good chance to beat a record e-score.


My best poly so far (I'm searching 0M-5M):

# norm 1.894724e-18 alpha -6.655811 e 2.253e-14 rroots 5
skew: 75266545.70
c0: 753545999163595940067822094094581367635952775
c1: 9779981475089077072344551583115700440
c2: -2946633176349596562589560432473
c3: -28192506079899210059080
c4: 625484152820466
c5: 199728
Y0: -3721192207238732077084665946178550892
Y1: 25409780924749429507

I’ll pitch in. Searching now.

[Plutie]

Originally Posted by unconnected

Hi, guys, after extensively ECM-testing I need a poly for this C189 coming from aliquot sequence 11040:i10209 :

142511357330466243476746690497051575928345729751366129422971474654704075568089404245440258486192592405061316915235821208519879617537091746369391499418464177318972566719274808703086801429397

Since the number is starting from 142..., there is a good chance to beat a record e-score.


My best poly so far (I'm searching 0M-5M):

# norm 1.894724e-18 alpha -6.655811 e 2.253e-14 rroots 5
skew: 75266545.70
c0: 753545999163595940067822094094581367635952775
c1: 9779981475089077072344551583115700440
c2: -2946633176349596562589560432473
c3: -28192506079899210059080
c4: 625484152820466
c5: 199728
Y0: -3721192207238732077084665946178550892
 Y1: 25409780924749429507

will give it a shot, should have something good tomorrow. my current best is 1.878e-14 (15 minutes of msieve-gpu)

[Plutie]

as promised:
3 hours of msieve-gpu over a few different LCs, cado size/root opt

n: 142511357330466243476746690497051575928345729751366129422971474654704075568089404245440258486192592405061316915235821208519879617537091746369391499418464177318972566719274808703086801429397 
Y0: -3306911518669156528704633740527063178 
Y1: 1412443136271580297601 
c0: 8753585702118798264017971574180247062870008545 
c1: 1462380903005071847006946283271961507733 
c2: -3609286928071149997822765954299 
c3: -216398824337073239972533 
c4: 139051083328194 
c5: 1081080 
skew: 134346295.141 
# lognorm 60.09, E 51.46, alpha -8.64 (proj -2.79), 5 real roots 
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=2.656e-14


# cownoise:
skew: 181203923.855
e-score 2.67097335e-14

[swellman]

Nice score @Plutie! While not a record it is perfectly suited for a C189.

My CADO search should spit out results by tomorrow. Msieve-GPU has produced nothing close to any of the results presented so far but hope springs eternal…

[swellman]

n: 142511357330466243476746690497051575928345729751366129422971474654704075568089404245440258486192592405061316915235821208519879617537091746369391499418464177318972566719274808703086801429397
skew: 156279276.114
c0: -44206962008915791731219033883916506680818743428
c1: 1220111180630288320535424889484687149071
c2: 14734208322522960308236217886860
c3: -149282377423535691246011
c4: -383102684209872
c5: 318780
Y0: -3894187560689568288296097963916214290
Y1: 5185546662806416044693047
# MurphyE (Bf=8.590e+09,Bg=4.295e+09,area=5.469e+16) = 1.205e-08
# f(x) = 318780*x^5-383102684209872*x^4-149282377423535691246011*x^3+14734208322522960308236217886860*x^2+1220111180630288320535424889484687149071*x-44206962008915791731219033883916506680818743428
# g(x) = 5185546662806416044693047*x-3894187560689568288296097963916214290

# cownoise: escore of 2.265e-14 at skew of 224118401.10

Disappointing result. Sorry I couldn’t find better.

Terminating search.

[unconnected]

Thank you guys, I enqueued this number to 15e with Plutie's poly.

[swellman]

C203_147_104 is a GNFS from the XYYXF project. It received upwards of 48,000 curves @B1=850M. It needs a polynomial, presumably a deg 5, ideally with a score of 3.5 to 3.8e-15.

81371580958288180495643291649819154765300654909188614047433715271318289820697671548034835547680276517220926062058191594407670460404935983632115144113293325360273639747305204929704831648236717426500461987

Many thanks for any cycles you can spare!

[EdH]

This is not near your preferred range, but some testing gave me this:

SKEW 758184394.20
R0 -1877983994142100543416629807737490458501
R1 2280842250530422739
A0 -414349527140594965902462839198958465213716771630280
A1 -762666578956989362003714339018876350746674
A2 4980782355384860279547087572759473
A3 -2366329972187727464281370
A4 26988496136834196
A5 3483480
size 3.743e-20, alpha -8.255, combined = 2.160e-15 rroots = 3

I can't seem to get cownoise to respond to my attempts to use it, so I don't know if there is something odd or if this is really even poorer than it seems.