C206 poly degree 6 -- 1.95
 

[QUOTE=Max0526;510815]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][/QUOTE]
Actually :stirpot:

But it's degree 6. Will it sieve better?
[code]Y0: -1538110509013620412372134421308659
Y1: 74881205760971794
c0: -1446560752975762872083356841587900498554577200
c1: 3766745954017790911698864365082729049350
c2: 2649277663818371317849409707330487
c3: -2394123180446139085639071247
c4: -570995136993799351822
c5: 230592376178508
c6: 19352256
skew: 2580555.41248
# lognorm 59.77, E 49.68, alpha -10.09 (proj -1.87), 6 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=1.952e-15[/code]

C206 poly degree 6 -- 2.017
 

[QUOTE=VBCurtis;510819]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.[/QUOTE]
Just for VBCurtis and on the [TEX]\pi[/TEX] Day! :stirpot:
I probably can make it higher, it's just after 3.5 min of spin.

[code]Y0: -12601232873195375545450587523347632672883
Y1: 743324161454990349821163538
c0: 48832161596787096493393187437766185114842126397550
c1: -205648255335205404935808363185396705274975
c2: -1052812051562592448697276219220869
c3: 1475476235275407031396575
c4: 2265743403238791
c5: 1411200
skew: 596716219.75
# size 3.095e-20, alpha -7.489, combined = 2.017e-15 rroots = 3[/code]

C206 poly
 

[QUOTE=VBCurtis;510823]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.[/QUOTE]
This one doesn't seem to spin up.

[QUOTE=Max0526;510827]Just for VBCurtis and on the [TEX]\pi[/TEX] Day! :stirpot:
I probably can make it higher, it's just after 3.5 min of spin.

[code]Y0: -12601232873195375545450587523347632672883
Y1: 743324161454990349821163538
c0: 48832161596787096493393187437766185114842126397550
c1: -205648255335205404935808363185396705274975
c2: -1052812051562592448697276219220869
c3: 1475476235275407031396575
c4: 2265743403238791
c5: 1411200
skew: 596716219.75
# size 3.095e-20, alpha -7.489, combined = 2.017e-15 rroots = 3[/code][/QUOTE]

:shock::w00t: As far am I'm concerned, we have a winner! I'll give CADO another couple of thread-weeks this weekend, but 2e-15 on deg 5 is higher than I thought we could achieve. Just awesome, sir!
I'll test-sieve this weekend, too; Sean mentioned frmky usually uses alim = rlim = 536M for inputs this size, so I'll try that and see what yield is like.

C206 poly -- 2.103 and 2.107
 

[QUOTE=VBCurtis;510832]:shock::w00t: As far am I'm concerned, we have a winner! I'll give CADO another couple of thread-weeks this weekend, but 2e-15 on deg 5 is higher than I thought we could achieve. Just awesome, sir!
I'll test-sieve this weekend, too; Sean mentioned frmky usually uses alim = rlim = 536M for inputs this size, so I'll try that and see what yield is like.[/QUOTE]
Hang on! I already have 2.103 and 2.107. I'll post them later tonight, before I go to bed.

C206 poly
 

[QUOTE=VBCurtis;510819]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.[/QUOTE]
It was actually possible to increase the E for the same c5. But the skew is the same huge and the score is too low now.[code]# norm 1.563823e-24 alpha -7.718866 e 1.834e-15 rroots 3
skew: 1195708201.97422
c0: 1308013145682203235921791846993890994906709837883805
c1: -2480261159146718267773058682439963878133938
c2: -3006841586003824986868630992097940
c3: 4082857057755985761817794
c4: 2670257077726791
c5: 705600
Y0: -12601190259138135484577170468444511365284
Y1: 371662080727495174910581769[/code]

C206 polys -- the three above 2.1
 

The three best polys [so far ;-) ] with the E > 2.1e-15. The first and last seem to have the same alpha and number of roots. All skews are different and were optimized by [URL]http://cownoise.com/[/URL].
[code]
Y0: -12601188141691177666904742646406365493031
Y1: 743324161454990349821163538
c0: 80861604392230511460818572744874760814432195796792
c1: -314265373520508376909781846026746875237031
c2: -734134308227143674162327314923583
c3: 2071969217344750528293831
c4: 2690356929862791
c5: 1411200
skew: 597950211.83
# size 3.418e-20, alpha -7.633, combined = 2.111e-15 rroots = 3
[/code][code]
Y0: -12601339721892862582748708202204842976691
Y1: 743324161454990349821163538
c0: 137590190631534878358422419258553863917875388884862
c1: 164573777586510141237335590511706400855489
c2: -1450105737514750858673830964438693
c3: 464312981092984010304351
c4: 1251482803942791
c5: 1411200
skew: 758009406.84691
# lognorm 64.15, E 56.09, alpha -8.06 (proj -1.97), 1 real root
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 2.107e-15
[/code][code]
Y0: -12601310268654152821876683800363585596851
Y1: 743324161454990349821163538
c0: 105279833837254024353264581011870638143550621803582
c1: 52174663792680045663118941643393433715009
c2: -1382245216053833380565883756313253
c3: 684822745956980314667871
c4: 1531067490022791
c5: 1411200
skew: 649347173.63761
# lognorm 64.03, E 56.39, alpha -7.63 (proj -1.97), 3 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 2.103e-15
[/code]

Nicely done! I’m stopping my search - nothing comes close to these values.

Good job!

[QUOTE=Max0526;510835] All skews are different and were optimized by [URL]http://cownoise.com/[/URL].
[/QUOTE]

Does it mean, that one may change the skew value in nfs.job and nfs.fb, and sieve will produce proper results?
What kind of 'gain' i can get?
I'm using yafu v1.34.5.

Regards, cubaq

[QUOTE=cubaq;510872]Does it mean, that one may change the skew value in nfs.job and nfs.fb, and sieve will produce proper results?
What kind of 'gain' i can get?
I'm using yafu v1.34.5.

Regards, cubaq[/QUOTE]

Yes, but usually doing so will reduce sieve speed. There is a best (fastest) skew for each polynomial, and it's sometimes not the one msieve calculates. There are a couple tools out there to double-check optimal skew. We're talking potential savings of 1-3%; not worth the manual labor on a C150 but possibly a core-year of time savings at C200+.

[QUOTE=VBCurtis;510877]Yes, but usually doing so will reduce sieve speed. There is a best (fastest) skew for each polynomial, and it's sometimes not the one msieve calculates. There are a couple tools out there to double-check optimal skew. We're talking potential savings of 1-3%; not worth the manual labor on a C150 but possibly a core-year of time savings at C200+.[/QUOTE]


Thanks a lot for quick reply VBCurtis. As far as I am doing not 'more' than C160 it ends a case.

cubaq