Thank you Curtis! I’ll run some test sieving on all four polys tonight and post the best case for NFS@Home to sieve with 15e sometime tomorrow.

Max may decide to let Cado polish my polys; you might wait until tomorrow to test-sieve, in case he has a go.

[QUOTE=VBCurtis;469854]Max may decide to let Cado polish my polys; you might wait until tomorrow to test-sieve, in case he has a go.[/QUOTE]

Good call. I'll let it sit for a day or two.

Max - please work your magic if possible.

I tried to get better polys using cado-nfs root optimizer
on the ones provided by VBCurtis above but I failed to get
anything, the MurphyE I get are actually worse. But
I may well be doing something wrong. I am just starting
to learn how to use cado-nfs for poly search.

Here's what I got:

[CODE]### root-optimized polynomial 0 ###
# n: 206126198520335998469134386020008749480733049152712107835914145741704733292914301600869914866579422918568099165679123078042285531615037983736118335674577501855025337380741475484791
# Y0: -31119843651204566720593631523082650
# Y1: 247990605448285733
# c0: -465506833844853037074532020445487064134113
# c1: 220366270032961878425336398925055318
# c2: 21577554623105442787567735052
# c3: -25227073209232841750802
# c4: -273695911999435
# c5: 7062300
# skew: 8214022.075
# # lognorm 56.84, E 49.67, alpha -7.17 (proj -1.97), 3 real roots
# # MurphyE(Bf=1.00e+07,Bg=5.00e+06,area=1.00e+16)=8.14e-14
### Best MurphyE so far is 8.14e-14, av. exp_E 49.91, av. E 49.67


### root-optimized polynomial 1 ###
# n: 206126198520335998469134386020008749480733049152712107835914145741704733292914301600869914866579422918568099165679123078042285531615037983736118335674577501855025337380741475484791
# Y0: -30948520274923083675742653553277498
# Y1: 539766211281434653
# c0: -53123941740231514919658749073501221023021605
# c1: -1680230084272034969498065566314530794
# c2: 1466241697989526460752331789683
# c3: 9669540077480026507828
# c4: -1216809354328772
# c5: 7259952
# skew: 23545479.132
# # lognorm 58.14, E 49.78, alpha -8.36 (proj -2.10), 5 real roots
# # MurphyE(Bf=1.00e+07,Bg=5.00e+06,area=1.00e+16)=8.32e-14
### Best MurphyE so far is 8.32e-14, av. exp_E 50.06, av. E 49.72


### root-optimized polynomial 2 ###
# n: 206126198520335998469134386020008749480733049152712107835914145741704733292914301600869914866579422918568099165679123078042285531615037983736118335674577501855025337380741475484791
# Y0: -30948520274923083675742653553277498
# Y1: 539766211281434653
# c0: -53123941740231514919658749073501221023021605
# c1: -1680230084272034969498065566314530794
# c2: 1466241697989526460752331789683
# c3: 9669540077480026507828
# c4: -1216809354328772
# c5: 7259952
# skew: 23545479.132
# # lognorm 58.14, E 49.78, alpha -8.36 (proj -2.10), 5 real roots
# # MurphyE(Bf=1.00e+07,Bg=5.00e+06,area=1.00e+16)=8.32e-14
### Best MurphyE so far is 8.32e-14, av. exp_E 50.14, av. E 49.74
[/CODE]

C180 polys
 

YuL's polys with adjusted skews are listed below. I'll get you better ones tonight.
[code]
Y0: -31119843651204566720593631523082650
Y1: 247990605448285733
c0: -465506833844853037074532020445487064134113
c1: 220366270032961878425336398925055318
c2: 21577554623105442787567735052
c3: -25227073209232841750802
c4: -273695911999435
c5: 7062300
skew: 15362202.93990
# E = 8.24459106e-14
[/code]

[code]
Y0: -30948520274923083675742653553277498
Y1: 539766211281434653
c0: -53123941740231514919658749073501221023021605
c1: -1680230084272034969498065566314530794
c2: 1466241697989526460752331789683
c3: 9669540077480026507828
c4: -1216809354328772
c5: 7259952
skew: 35110384.47902
# E = 8.38943156e-14
[/code]

c180 -- a better CADO poly
 

CADO optimized my old poly quite a bit (manual therapy was required). I'll post all runner-ups later today.
[code]
Y0: -49737679034182624290841791985730141
Y1: 27672595519131845458109
c0: 2219849781219933688594222529717085731472640
c1: -271554560588094070095431200467698240
c2: -190982434081120390397977978648
c3: 7059677881789437129545
c4: 842795255774262
c5: 14220360
skew: 16095335.04878
# lognorm 56.65, E 48.89, alpha -7.77 (proj -2.70), 3 real roots
# MurphyE = 8.72619934e-14
[/code]

c180 -- best Msieve poly
 

Msieve's poly is not even close, but I list it here to be fair:
[code]
# norm 1.592784e-017 alpha -7.504182 e 8.467e-014 rroots 5
skew: 18790210.30
c0: 4116943004271111661902008231418735785868864
c1: 2028602422401184947629369435171942332
c2: -29784356125317078402802206456
c3: -12556394473686717343447
c4: 113731334527062
c5: 14220360
Y0: -49737962783553248747035277725626777
Y1: 27672595519131845458109
[/code]

c180 -- another CADO poly
 

[code]
Y0: -47926056467254029296496907719256194
Y1: 5653601576196714051521
c0: 1172244428031610698569100003680586544267731
c1: 213352127240110771940407362293271743
c2: -61880543475801747354004608113
c3: -1981123691723589917797
c4: -5130112323924
c5: 2445660
skew: 19649700.94086
# lognorm 55.54, E 48.91, alpha -6.63 (proj -1.81), 3 real roots
# MurphyE = 8.35011412e-14
[/code]

C167 from AS 4788
 

[code]
17836284178544632533542177396765800795130282738703934751781697055497914407582438994518501693989751069293655786255415284196091460190684162535720450721416707626752884161[/code]

It has survived ECM for 18000 curves @B1=110e6 by Yoyo@Home. Seemed like a fun one to tackle. Anyone interested in a poly search?

[QUOTE=swellman;471508]Anyone interested in a poly search?[/QUOTE]

Sure, I'll post results tomorrow night. This number is not big enough to call for multiple GPU-msieve searches, though I may give CADO a shot at it too.

[QUOTE=swellman;471508][code]
17836284178544632533542177396765800795130282738703934751781697055497914407582438994518501693989751069293655786255415284196091460190684162535720450721416707626752884161[/code]

It has survived ECM for 18000 curves @B1=110e6 by Yoyo@Home. Seemed like a fun one to tackle. Anyone interested in a poly search?[/QUOTE]

[code]N 17836284178544632533542177396765800795130282738703934751781697055497914407582438994518501693989751069293655786255415284196091460190684162535720450721416707626752884161
SKEW 18358107.69
R0 -142004765472725557951356006205383
R1 3703011190457693
A0 103884462589639482345566009768214320572000
A1 47191213555613539104636642858135210
A2 1454356932206018793505452993
A3 -470345432281617508754
A4 -619088058732
A5 308880
#skew 18358107.69, size 3.385e-16, alpha -7.920, combined = 5.956e-13 rroots = 5[/code]