20230127, 17:15  #2355 
Jun 2012
3,907 Posts 
Congrats on the record Ed.
I’ve got a C204 in the same situation  a decent poly scoring 2.67e15 but it could (and arguably should) be better. If you’re interested I can post it in this thread. If not I certainly understand. 
20230127, 17:22  #2356 
"Curtis"
Feb 2005
Riverside, CA
13131_{8} Posts 
If Sean has time, I am quite curious to see a testsieve comparison between the original 1.21 poly and the spun 1.26 poly. Since this is going to 15e the LP/mfb will be maxed out anyway, so a straight A/B comparison would be nice.
This find also illustrates a CADO poly search quirk multiple runs with P changed by a factor of 2 or more can be fruitful on these big searches. Smaller changes than factorof2 are not efficient the two runs would overlap. 
20230127, 18:08  #2357  
Jun 2012
3,907 Posts 
Quote:
Tempted to search again for a better poly for my c204 using 24 times P. Of course I was also using incr of 4620 rather than 210…high and wide view vs. low and narrow. 

20230127, 18:37  #2358 
"Ed Hall"
Dec 2009
Adirondack Mtns
5414_{10} Posts 
Thanks Sean! Go ahead and post it. I can probably run it for a while this weekend, with the same params and see if anything shows up.
Last fiddled with by EdH on 20230127 at 18:47 
20230127, 19:49  #2359  
Jun 2012
3,907 Posts 
Quote:
Code:
expecting poly E from 3.01e015 to > 3.46e015 Code:
n: 147637954708760577096870566760492577451833118080988439795227165380585466874091608982638794510612975492723170346995368542313930927300923575443335189867125386500916347070672505721942719135313981432615037101 skew: 96927420.776 c0: 3259484283277082819463338965242727394074127124000 c1: 71192934804348078973993341348184817742210 c2: 1393634250179898627313984196395563 c3: 441885881191783807778099 c4: 181100764607727392 c5: 232256640 Y0: 1049185025778492841111809326185936473007 Y1: 1676730684127246452108881 # MurphyE (Bf=8.590e+09,Bg=4.295e+09,area=2.684e+16) = 4.428e09 # skew 96927420.78, size 5.076e020, alpha 8.652, combined = 2.669e015 rroots = 3 # # cownoise suggests a skew of 136635088.10925 to generate a score of 2.68414524e15, which I verified via msieve # skew 136635088.11, size 5.076e020, alpha 8.652, combined = 2.684e015 rroots = 3 Code:
tasks.polyselect.degree = 5 tasks.polyselect.P = 6000000 tasks.polyselect.admin = 2.2e8 tasks.polyselect.admax = 3e8 tasks.polyselect.adrange = 36960 tasks.polyselect.incr = 4620 tasks.polyselect.nq = 15625 tasks.polyselect.nrkeep = 250 tasks.polyselect.ropteffort = 100 tasks.polyselect.sopteffort = 60 Last fiddled with by swellman on 20230127 at 19:49 

20230129, 03:16  #2360 
"Ed Hall"
Dec 2009
Adirondack Mtns
2×2,707 Posts 
Even after a spin, the best I came up with was 2.5221615

20230129, 03:53  #2361 
Jun 2012
3,907 Posts 

20230129, 13:21  #2362  
Jun 2012
3,907 Posts 
Quote:
Code:
n: 215595066602352118400883082122467079428382835673331189761947112870819155814524658384805320024034304028149189679135083937600896018627033913691610627428059801367594230957982949927522460049055204009 skew: 101228323.627 type: gnfs lss: 0 c0: 9461155558966299757637585048820949835268210520 c1: 918248262809785119232878863330914017095 c2: 2508004167946129939408265240786 c3: 203361258765417266916623 c4: 302571303235858 c5: 2494800 Y0: 44414703145539847060662740243179435782 Y1: 623758734867750157269763 # lognorm 59.98, E 52.41, alpha 7.57 (proj 2.18), 5 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=1.259e14 # cownoise values: 131586929.62876 1.26494963e14 rlim: 266000000 alim: 134000000 lpbr: 33 lpba: 33 mfbr: 66 mfba: 96 rlambda: 2.45 alambda: 3.65 Results of test sieving on the algebraic side with Q in blocks of 1000: Code:
1.01E14 1.21E14 1.26E14 MQ Norm_yield Norm_yield Norm_yield 25 1971 2261 2254 50 2487 2687 2717 75 2576 2785 2912 100 2473 2653 2824 150 2265 2544 2577 200 2086 2329 2399 250 2008 2219 2168 300 1822 2065 2065 350 1699 1898 1871 400 1564 1742 1869 450 1581 1822 1832 500 1463 1705 1736 530 1464   Q range 25515M 25455M 25450M Code:
1.21E14 1.26E14 MQ # Spec_q # Spec_q 25 80 61 50 53 60 75 54 66 100 58 55 150 71 57 200 59 56 250 54 55 300 50 51 350 48 45 400 51 47 450 53 32 500 60 57 Last fiddled with by swellman on 20230129 at 13:33 

20230129, 16:10  #2363  
Apr 2020
947 Posts 
Quote:
On the algebraic side the polynomial is not linear. Here it's degree 5, so the number of roots modulo a given prime varies from 0 to 5, though the mean is still 1. Naturally this leads to variation in the number of specialq, especially over a range as small as 1k. This isn't an issue because you're normalizing the yield. 

20230129, 16:19  #2364  
Jun 2012
111101000011_{2} Posts 
Quote:


20230129, 16:47  #2365 
"Curtis"
Feb 2005
Riverside, CA
1011001011001_{2} Posts 
Thanks, Sean!
I'm really happy to see that yield is up on the 'spun' poly; I had doubts that spin of 190+ digit jobs was doing much other than removing CADO's optimization for an actual sieve area in favor of optimizing for Murphy's sieve area. This is a nice bit of evidence that spin works. :) 
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