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Old 2019-04-15, 02:25   #12
Max0526
 
"Max"
Jun 2016
Toronto

5·11·13 Posts
Default C207 poly

The best one today:
Code:
Y0: -9772422513506428589084780378052014452304
Y1: 10120116742258979082991
c0: -6567638665945187210067265791872161090936501289220
c1: -352674611405540749456026406069351197558151
c2: -1209732713328476510198409054645750
c3: 24345177312666339867701449
c4: -387692373706038720
c5: 495221760
skew: 144331230.11
# size 1.498e-20, alpha -8.178, combined = 1.235e-15 rroots = 3
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Old 2019-04-15, 06:08   #13
Batalov
 
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"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

223278 Posts
Lightbulb

Just in case anyone is curious to compare to the snfs quartic:
Code:
n: 334377437706404684733884220732190564550147039308686365251932207592010868660163280944362994773042289837865752943086095333357861608005044927356022538834108845220872215597190097852981295940487497385774178731621
type: snfs
lss: 1
# size 2.087e-28, alpha 1.793, combined = 5.196e-17 rroots = 4
Y0: -13803492693581127574869511724554050821825468207783531053837107180077057
Y1: 83076749736557242056487941267521536
c0: 1
c1: -2
c2: -6
c3: 2
c4: 1
skew: 1
It sieves at least 3-4 times slower (though it can be somewhat improved with sloped skew and lopsided lims).
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Old 2019-04-15, 12:56   #14
ET_
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"Luigi"
Aug 2002
Team Italia

2·29·83 Posts
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I'm willing to put 8 cores toward this project, so I pledge 4 core-years I=16

Just need some instruction because I never used CADO.
Even on PM or mailbox.
Thanks.
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Old 2019-04-15, 23:50   #15
RichD
 
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Sep 2008
Kansas

3×1,109 Posts
Default C207 Poly

An early flare.
Code:
R0: -9620058375174616535770781314605055459337
R1: 330510874318614022223
A0: -1686899744499012877913755879674745593231123986201952
A1: 16773999555647078761012729684560325368472940
A2: -31817514069346618750601221783867119
A3: -19988061685934044517720995
A4: 12959374560476383
A5: 4058340
skew 1340814157.71, size 1.542e-20, alpha -7.126, combined = 1.240e-15 rroots = 5
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Old 2019-04-16, 14:42   #16
fivemack
(loop (#_fork))
 
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Feb 2006
Cambridge, England

24·3·7·19 Posts
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1 June is a little early for me to start, but I can put 3x(16 SNB cores/64G) and 1x(20 SKL cores/96G) machines on the job from probably the start of July.
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Old 2019-04-16, 15:52   #17
VBCurtis
 
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"Curtis"
Feb 2005
Riverside, CA

10010101011102 Posts
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Excellent! We are now 2/3rds of the way to our pledge goal.
1 June was optimistic as a start date; poly select will go that long, and yoyo's t65 will also last into June. I expect to need a couple weeks to test-sieve in CADO once we have a winning poly, since the only "test" I know of is to fire up the job and let it run for a day or so, using the projected end date as a measure of speed. There is no sec/rel measurement in CADO, though surely I could record the wall-clock time of a workunit and divide by the number of relations found.
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Old 2019-04-16, 20:29   #18
RichD
 
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Sep 2008
Kansas

3·1,109 Posts
Default C207 Poly

Another little flare.
Code:
R0: -9579889712760335154719172906758289451536
R1: 969146966343338551799
A0: 369490894112569458208914409142410419095316752508485075
A1: -302531594561122715590938325899570643254540325
A2: -114501137686448842626790782497651777
A3: 22738562436250087529019433
A4: 15555292744765374
A5: 4144140
skew 2960209726.13, size 1.870e-20, alpha -9.559, combined = 1.414e-15 rroots = 3
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Old 2019-04-16, 23:52   #19
Max0526
 
"Max"
Jun 2016
Toronto

5·11·13 Posts
Default C207 poly

Quote:
Originally Posted by RichD View Post
Another little flare.
Code:
R0: -9579889712760335154719172906758289451536
R1: 969146966343338551799
A0: 369490894112569458208914409142410419095316752508485075
A1: -302531594561122715590938325899570643254540325
A2: -114501137686448842626790782497651777
A3: 22738562436250087529019433
A4: 15555292744765374
A5: 4144140
skew 2960209726.13, size 1.870e-20, alpha -9.559, combined = 1.414e-15 rroots = 3
After spin in msieve:
Code:
Y0: -9579889712745132234450518892140026752245
Y1: 1938293932686677103598
c0: 45589627612788530241169584132495533144711062363762668
c1: -76526726129401872745974536364967577955195102
c2: -56703958719188894376723729545653411
c3: 23724818146265919890808697
c4: 31760672960163348
c5: 16576560
skew: 1485728453.26
size 1.877e-20, alpha -9.559, combined = 1.424e-15 rroots = 3
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Old 2019-04-17, 02:13   #20
Max0526
 
"Max"
Jun 2016
Toronto

5×11×13 Posts
Default C207 poly

After spin in CADO:
Code:
Y0: -9579889713270210602579625273822001220277
Y1: 1938293932686677103598
c0: 476890134975876529355190770539085588389682616452260
c1: -4437157882532736118906749407371857435900256
c2: -65295719977426647257506881152592247
c3: 1474066361868979335714169
c4: 9307955838128148
c5: 16576560
skew: 867309667.56668
# lognorm 67.45, E 58.23, alpha -9.22 (proj -2.69), 3 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 1.49561381e-15
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Old 2019-04-17, 02:58   #21
Max0526
 
"Max"
Jun 2016
Toronto

5·11·13 Posts
Default C207 poly

After msieve:
Code:
Y0: -9579889713173779190462997851277726827607
Y1: 1938293932686677103598
c0: 94766861967930568698895123035806517489755645251570
c1: -10918130889559666752756688777434038917542691
c2: -64917070042663570064895832132179292
c3: 3736665521537653901047849
c4: 13431430255190148
c5: 16576560
skew: 872433172.56038
# size 2.020e-20, alpha -9.221, combined = 1.496e-15 rroots = 3
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Old 2019-04-17, 03:19   #22
axn
 
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Jun 2003

2×3×827 Posts
Default

Just out of curiosity, what is the expected "great" score for a polynomial this size (where you can immediately say, "this is good enough, let's sieve")? About 2e-15 (assume deg-5)?
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