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 2022-09-05, 02:22 #2245 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 10100011011002 Posts The spin came up with a poly with slightly different coefficients, but the same MurphyE value. Would they sieve differently or would they be too close to tell?: Code: n: 81371580958288180495643291649819154765300654909188614047433715271318289820697671548034835547680276517220926062058191594407670460404935983632115144113293325360273639747305204929704831648236717426500461987 Y0: -1808663928462715526563165486099081150914 Y1: 12684447350737457147 c0: 6514726884246282956681986458707608783345751833555 c1: -48355337797623773767941602734445061773712 c2: -1407645762273101340022326378962735 c3: 983458092150319952304492 c4: 7107304399602592 c5: -4204200 skew: 306670856.125 # lognorm 63.72, E 55.96, alpha -7.76 (proj -2.37), 5 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=3.182e-15 Best poly cownoise values: 423229688.34525 3.18358329e-15 ETA: I might run them separately tomorrow and see what turns up. I think it would take a little less than an hour each. Last fiddled with by EdH on 2022-09-05 at 02:24
2022-09-05, 18:48   #2246
swellman

Jun 2012

23×13×37 Posts

Quote:
 Originally Posted by EdH The spin came up with a poly with slightly different coefficients, but the same MurphyE value. Would they sieve differently or would they be too close to tell?
I think if the Escore and the leading coefficient are identical then the lower skew will sieve faster/better. But test sieving should be run in any case.

Quote:
 ETA: I might run them separately tomorrow and see what turns up. I think it would take a little less than an hour each.
Looking forward to seeing how these spin.

 2022-09-05, 19:54 #2247 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 22×1,307 Posts Interesting, anyway! Here are the respective four spins done separately. The second and third have opposite signs but otherwise matching values for the coefficients, and all have the exact same scores: Code: Y0: -1808663928462715526563165486099081150914 Y1: 12684447350737457147 c0: 6514726884246282956681986458707608783345751833555 c1: -48355337797623773767941602734445061773712 c2: -1407645762273101340022326378962735 c3: 983458092150319952304492 c4: 7107304399602592 c5: -4204200 skew: 306670856.125 # lognorm 63.72, E 55.96, alpha -7.76 (proj -2.37), 5 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=3.182e-15 Best poly cownoise values: 423229688.34525 3.18358329e-15 ================================================================ Y0: -1808663928462715526651956617554243350943 Y1: 12684447350737457147 c0: -6514727222733578565405714126224623908659080447560 c1: 48355318090582957376193047546529493712322 c2: 1407645782925719185631537473789019 c3: -983457893145794703373916 c4: -7107304546749592 c5: 4204200 skew: 306670856.125 # lognorm 63.72, E 55.96, alpha -7.76 (proj -2.37), 5 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=3.182e-15 Best poly cownoise values: 423230092.72977 3.18358329e-15 ================================================================ Y0: -1808663928462715526651956617554243350943 Y1: 12684447350737457147 c0: 6514727222733578565405714126224623908659080447560 c1: -48355318090582957376193047546529493712322 c2: -1407645782925719185631537473789019 c3: 983457893145794703373916 c4: 7107304546749592 c5: -4204200 skew: 306670856.125 # lognorm 63.72, E 55.96, alpha -7.76 (proj -2.37), 5 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=3.182e-15 Best poly cownoise values: 423230092.72977 3.18358329e-15 ================================================================ Y0: -1808663928462715526575849933449818608061 Y1: 12684447350737457147 c0: 6514726932601619346659996970089786452448886146832 c1: -48355334982332246271364674668050066366134 c2: -1407645765223475573829459796218659 c3: 983458063721102311852124 c4: 7107304420623592 c5: -4204200 skew: 306670856.125 # lognorm 63.72, E 55.96, alpha -7.76 (proj -2.37), 5 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=3.182e-15 Best poly cownoise values: 423229399.21056 3.18358329e-15 I might look again at the notes I have from Max on using Maple to do some coefficient manipulations. I think I had been able to do some manually, but I didn't add them to the scripting because I couldn't figure out how to use the interactive (free) Maple page via script. (Then again, my memory is turning out to fail me on occasion.)
2022-09-06, 10:10   #2248
swellman

Jun 2012

23×13×37 Posts

Quote:
 Originally Posted by EdH Interesting, anyway! Here are the respective four spins done separately. The second and third have opposite signs but otherwise matching values for the coefficients, and all have the exact same scores: I might look again at the notes I have from Max on using Maple to do some coefficient manipulations. I think I had been able to do some manually, but I didn't add them to the scripting because I couldn't figure out how to use the interactive (free) Maple page via script. (Then again, my memory is turning out to fail me on occasion.)
Ed - I checked my notes but there wasn’t much on Max’s use of Maple. I know he used it but I never got the particulars from him.

2022-09-06, 12:04   #2249
EdH

"Ed Hall"
Dec 2009
Adirondack Mtns

22·1,307 Posts

Quote:
 Originally Posted by swellman Ed - I checked my notes but there wasn’t much on Max’s use of Maple. I know he used it but I never got the particulars from him.
There were a couple files he referenced in a PM. One had the Maple scripts, but it seems I was able to use a Maple page online for testing without installing or buying. It would only run a minute or two, but was enough to get the new values. Maybe it's no longer available. I'll have to study the script again, but it seemed I couldn't visualize everything. He was able to change the coefficients in some manner and still have the polynomial come out equal.

 2022-09-10, 14:06 #2250 swellman     Jun 2012 23·13·37 Posts C203_147_104 Best score found by CADO with a5 search range 10-50M: Code: n: 81371580958288180495643291649819154765300654909188614047433715271318289820697671548034835547680276517220926062058191594407670460404935983632115144113293325360273639747305204929704831648236717426500461987 skew: 72907342.812 c0: 1058934977378224856439497127950694600087539154000 c1: 42376872536810979538248023301741141131020 c2: -1172600160435971087036589680268567 c3: -36346639213693433097521632 c4: 158497386678312444 c5: 447068160 Y0: -1103743611316033663130808693373927410203 Y1: 3646019434071462514202987 # MurphyE (Bf=8.590e+09,Bg=4.295e+09,area=2.684e+16) = 4.577e-09 # f(x) = 447068160*x^5+158497386678312444*x^4-36346639213693433097521632*x^3-1172600160435971087036589680268567*x^2+42376872536810979538248023301741141131020*x+1058934977378224856439497127950694600087539154000 # g(x) = 3646019434071462514202987*x-1103743611316033663130808693373927410203 # cownoise 92487253.99 2.818e-15 I’ll keep searching - plan is up to 300M.
 2022-09-20, 15:32 #2251 swellman     Jun 2012 384810 Posts C203 Code: n: 81371580958288180495643291649819154765300654909188614047433715271318289820697671548034835547680276517220926062058191594407670460404935983632115144113293325360273639747305204929704831648236717426500461987 skew: 108504479.19 c0: -604486476532600556542647039261976679653557593600 c1: 74880662370077715960992576269989343268440 c2: -223063682844298765207163718817288 c3: -12447519242661278893085704 c4: -26060505300749211 c5: 162162000 Y0: -1085248276408486812504159306560607313847 Y1: 9441415570587282880595069 # MurphyE (Bf=8.590e+09,Bg=4.295e+09,area=2.684e+16) = 4.624e-09 # f(x) = 162162000*x^5-26060505300749211*x^4-12447519242661278893085704*x^3-223063682844298765207163718817288*x^2+74880662370077715960992576269989343268440*x-604486476532600556542647039261976679653557593600 # g(x) = 9441415570587282880595069*x-1085248276408486812504159306560607313847 Cownoise says 138150489.49 2.878e-15 Can this be spun? EdH?
2022-09-20, 20:16   #2252
EdH

"Ed Hall"
Dec 2009
Adirondack Mtns

22·1,307 Posts

Quote:
 Originally Posted by swellman . . . Can this be spun? EdH?
The spin came back with just the coefficient signs changed, but same values for everything else.

 2022-09-30, 13:19 #2253 unconnected     May 2009 Moscow, Russia 33×107 Posts Hi guys, I'm looking for a decent poly for this C190 (coming from aliquot sequence 785232:i11573): Code: 4924615299710155724242041611093792534228929027833793207209717741579479862664806712426989267280154775007779415785841244751833760998628602996813364136776619527437902426854181741931202256338971 I've started poly search a few days ago, my best poly (rather ugly) here: Code: # norm 1.092892e-18 alpha -7.444567 e 1.595e-14 rroots 3 skew: 253331359.95 c0: -57476364271064795615135584800581120835051484056 c1: -3650428265166918755205815419792279540846 c2: 8431561641114999374811777160137 c3: 257075005020782049670500 c4: -128575924081610 c5: 184140 Y0: -7681478765873126786242866093133110185 Y1: 15161604456172006399 I've completed 0-1M, search continues.
 2022-09-30, 14:27 #2254 swellman     Jun 2012 23×13×37 Posts C190 I’ll help search using msieve and an otherwise idle GPU. Which is a sin.
 2022-09-30, 19:38 #2255 RichD     Sep 2008 Kansas 22·3·317 Posts C190 Here is one from msieve-gpu in the a5=8M range. Not very good. Continuing with a5=9M range. Code: n: 4924615299710155724242041611093792534228929027833793207209717741579479862664806712426989267280154775007779415785841244751833760998628602996813364136776619527437902426854181741931202256338971 Y0: -3600877020382050174515169287624939433 Y1: 664874625507568297 c0: 27362264791851422285783309910333554372705924000 c1: 1596746045998144060595290777111500041320 c2: -15594257183447632337824871118862 c3: -255212077401432935224294 c4: 1264354129239371 c5: 8134500 skew: 115856597.08 # size 1.061e-18, alpha -7.413, combined = 1.769e-14 rroots = 5 # expecting poly E from 2.55e-14 to > 2.94e-14

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