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