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-   -   Poly select and CADO sieving for 2,1165+ C217 (https://www.mersenneforum.org/showthread.php?t=25031)

Max0526 2020-02-08 13:35

C217 poly
 
[QUOTE=swellman;536904]Top 2 scores for degree 5 polys:
[CODE]
# cownoise calculated score of 3.441e-16
skew: 81925937.712
c0: 20979117737896229889501593134036124581546875899439
c1: 702888888638716632053630701142158258021494
c2: 4805942957212842715569169595729246
c3: -1015952315801263566432172936
c4: -1641253174806907117
c5: 970539570
Y0: -319154102222244908033626629552413265381850
Y1: 56066781401775656648141249
# MurphyE (Bf=3.436e+10,Bg=1.718e+10,area=8.590e+17) = 2.372e-09
# f(x) = 970539570*x^5-1641253174806907117*x^4-1015952315801263566432172936*x^3+4805942957212842715569169595729246*x^2+702888888638716632053630701142158258021494*x+20979117737896229889501593134036124581546875899439
# g(x) = 56066781401775656648141249*x-319154102222244908033626629552413265381850
[/CODE]
[/QUOTE]
4-handle it is! 16.9% up! :stirpot:
[code]
Y0: -319154103273695928190552289959192641142053
Y1: 112133562803551313296282498
c0: 998948860466322315779636068194177185404977857456
c1: -63173211469851462649297026734535945822936
c2: 14609182693856061217887437854035851
c3: -444710848676934482139797820
c4: -1732258472013681067
c5: 1941079140
skew: 105094248.92076
# size 2.563e-21, alpha -7.535, combined = 4.024e-16 rroots = 3
[/code]
It's better than an old Gimarel's record for c216_5:
[code]
216_5 3.61e-16 Gimarel 08-13 3,766+
[/code]

Max0526 2020-02-08 14:30

[QUOTE=Gimarel;537055]
One more degree 6 poly. I didn't testsieve this poly.
[CODE]# norm 1.532885e-15 alpha -10.663919 e 6.167586e-16 rroots 6
skew: 13169474.90
c0: 1023735201309774246420532958336660120924961565920
c1: 995951334583249051832847919997394867745920
c2: 228409353245738642065033416449151622
c3: -7991582155794456227507263689
c4: -2040419130460960418821
c5: 61122488216070
c6: 693000
Y0: -227484134920273250744569883728074583
Y1: 10110547595475849804503267[/CODE][/QUOTE]
This one doesn't spin up in msieve, need to try CADO on it.

Max0526 2020-02-10 23:35

C217 poly -- first 7-handle!
 
I found the first 7-handle for degree 6. Will post today.
Edit:
:stirpot:

[code]
Y0: -260968666439530399918037023459605116
Y1: 38337191767287578050825267
c0: -7196950527960991555193580748097474856362083938
c1: -185821459719837526919356848735242248023269
c2: -13272626163537786723022096770871759
c3: 18948859018327120212361982771
c4: 247383589152687754249
c5: -17631163093470
c6: 307800
skew: 12177468.53879
# lognorm 61.88, E 50.91, alpha -10.97 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=7.09307485e-16
[/code][code]
Y0: -260989330799288036199207667091722388
Y1: 38337191767287578050825267
c0: 526347917581245904556569298174297826996685901670
c1: -442197618652939124803241605871343108242909
c2: -43412439357169306744171898756487583
c3: 18363294836235511962533007635
c4: 296242399274834833849
c5: -18626617842270
c6: 307800
skew: 14282731.33022
# lognorm 61.66, E 50.89, alpha -10.77 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)= 6.56961162e-16[/code][code]
Y0: -260967145833156142223541215526214828
Y1: 38337191767287578050825267
c0: -385989545117301752091314625356714578405870346514
c1: -2601924861341163051552621041066331318141765
c2: -10660736940797386570858918492791775
c3: 18987830913928763376659484915
c4: 243894240504271615849
c5: -17557911618270
c6: 307800
skew: 19865113.23285
# lognorm 62.00, E 51.08, alpha -10.92 (proj -2.57), 2 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=6.39771900e-16[/code][code]
Y0: -260991485119442207157368655166776186
Y1: 38337191767287578050825267
c0: -8382509859968721089075449810704134449212282540
c1: -14861473852394895062702410033234086621851
c2: 46568898205510345532955939396615361
c3: -18296117377392039329569523611
c4: -301490499493918847749
c5: 18730396921470
c6: -307800
skew: 9163234.70195
# lognorm 61.94, E 51.72, alpha -10.22 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=6.33754526e-16
[/code][code]
Y0: -261013013752851045169698876603712706
Y1: 38337191767287578050825267
c0: -2380673550083031447629831065410191822111647474980
c1: 562454059732010780130840959257252579560149
c2: 76692988186823078518636588364619001
c3: -17558740967616193107371889851
c4: -355537677228353513749
c5: 19767485929470
c6: -307800
skew: 14522027.88111
# lognorm 61.70, E 51.17, alpha -10.53 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=6.27032176e-16[/code]

Max0526 2020-02-11 01:25

C216 degree 6 poly
 
Two more:[code]Y0: -260968411305519188619205095217453231
Y1: 38337191767287578050825267
c0: -111880065637009028705827184084453860064526907680
c1: -177781820222650986513890155178281704301584
c2: -12895450908143303490814172806120966
c3: 18955436562614575250902923651
c4: 246797116683180964999
c5: -17618872639470
c6: 307800
skew: 11908146.33575
# lognorm 61.88, E 51.31, alpha -10.57 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=6.51422387e-16[/code][code]Y0: -261002597307824722531016999073717204
Y1: 38337191767287578050825267
c0: 1057209953408397926511293091880454579591436985734
c1: -644416630508080642985321645023729851264613
c2: -62220480720467115022108843409733127
c3: 17930678149490424768592439827
c4: 329023800671153646649
c5: -19265699288670
c6: 307800
skew: 15386754.46461
# lognorm 61.59, E 50.85, alpha -10.74 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=6.42332159e-16[/code]

swellman 2020-02-13 02:47

Top poly
 
The best poly was degree 6, with spin:

[CODE]n: 3213773553731676734673029767649076184026081109505643819433123522398392216242493939130914684819990019996494667995485530318906995221039607546449005638410444687839629323036119079997039490112821634482150496640217083568211
skew: 12177468.53879
c0: -7196950527960991555193580748097474856362083938
c1: -185821459719837526919356848735242248023269
c2: -13272626163537786723022096770871759
c3: 18948859018327120212361982771
c4: 247383589152687754249
c5: -17631163093470
c6: 307800
Y0: -260968666439530399918037023459605116
Y1: 38337191767287578050825267
# lognorm 61.88, E 50.91, alpha -10.97 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=7.09307485e-16
rlim: 536000000
alim: 536000000
lpbr: 33
lpba: 33
mfbr: 96
mfba: 66
rlambda: 3.7
alambda: 2.8
[/CODE]

Resulted in yield = 0.5371 and speed of 9.6438 sec/rel at Q0=150M. Slowest sieving I've ever personally measured but its the best of the lot.

Max0526 2020-02-13 03:05

C217 best poly
 
[QUOTE=swellman;537464]The best poly was degree 6, with spin:

[CODE]n: 3213773553731676734673029767649076184026081109505643819433123522398392216242493939130914684819990019996494667995485530318906995221039607546449005638410444687839629323036119079997039490112821634482150496640217083568211
skew: 12177468.53879
c0: -7196950527960991555193580748097474856362083938
c1: -185821459719837526919356848735242248023269
c2: -13272626163537786723022096770871759
c3: 18948859018327120212361982771
c4: 247383589152687754249
c5: -17631163093470
c6: 307800
Y0: -260968666439530399918037023459605116
Y1: 38337191767287578050825267
# lognorm 61.88, E 50.91, alpha -10.97 (proj -2.57), 4 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=7.09307485e-16
rlim: 536000000
alim: 536000000
lpbr: 33
lpba: 33
mfbr: 96
mfba: 66
rlambda: 3.7
alambda: 2.8
[/CODE]

Resulted in yield = 0.5371 and speed of 9.6438 sec/rel at Q0=150M. Slowest sieving I've ever personally measured but its the best of the lot.[/QUOTE]
Congrats to Gimarel for finding with msieve, CADO-NFS for spinning it up, and swellman for test-sieving and sending me a PM!
Whoever is actually organizing and performing the sieving (Gregg or VBCurtis), matrix, and solving -- good luck!
I wish I could hang around more often with you guys, but a lot of things is happening at the same time, and all of them are in a good direction. It looks that my next available month will probably be September. Keep sending PMs, I'll do my best.
This is what really interests me right now: [url]https://mathoverflow.net/questions/352295/hard-one-more-generator-needed-for-a-z-6-elliptic-curve[/url]
I suspect it would be wombatman's (or his colleagues') area of expertise, please pass along.

VBCurtis 2020-02-13 04:32

[QUOTE=swellman;537464]The best poly was degree 6, with spin:

Resulted in yield = 0.5371 and speed of 9.6438 sec/rel at Q0=150M. Slowest sieving I've ever personally measured but its the best of the lot.[/QUOTE]

I suggest you PM Greg with your post; he may be ready to queue it soon.

I am willing to offer some CADO sieving on low Q while it sieves on nfs@home- Greg, I can sieve from Q=10M up to whatever you decide the starting Q is (50M?). I'm not sure I'll get the whole range done, but that should add a couple dozen million relations to the pool. Just tell me what parameters to use so I match the nfs@home effort.

I may use this opportunity to test A=32, which is a 40% larger sieve area than I=16 / 16e. That could get me above 50M relations.

frmky 2020-02-14 06:33

Wow, this is going to be a long one! I'm testing it locally now.

pinhodecarlos 2020-02-14 20:51

[QUOTE=frmky;537543]Wow, this is going to be a long one! I'm testing it locally now.[/QUOTE]




I can request more CPU power from several teams and also would help if you post on the news requesting more power.

RichD 2020-02-16 04:56

Also, the 15e queue could use a short-term, temporary boost while waiting for this to go active. :smile:

pinhodecarlos 2020-02-16 07:59

[QUOTE=RichD;537689]Also, the 15e queue could use a short-term, temporary boost while waiting for this to go active. :smile:[/QUOTE]

BOINC clients prefer to crunch for higher paid sub project not by type of project, and 14e/15e are not on their list. Also I said hundreds of times before that the sub project memory requirements must be updated since 15e tasks use more memory than 16e ones.


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