mersenneforum.org Polynomial Request Thread
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read

 2022-10-11, 04:05 #2278 wombatman I moo ablest echo power!     May 2013 22×463 Posts This is the best Degree 5 I had found: Code: # norm 1.947865e-020 alpha -7.882661 e 1.297e-015 rroots 5 skew: 771127364.56 c0: 165792391853474935561243616954647727516748946250496 c1: 2160239644350504494844955872920952825447896 c2: -21514458180493538566295548810659238 c3: -5887571126475837688637761 c4: 35919796435243602 c5: 5588280 Y0: -17068243492239505219994785346910834818341 Y1: 1873940548553722757 And the best degree 6: Code: skew 62700718.06, size 3.776e-015, alpha -10.235, combined = 1.263e-015 rroots = 6 n: 8095101662371927421703337019465587498085337648622133688278589711654019359923503887978141510461468343349838217540569173400647791769725685803537804186347867144149599002247585690859122186539724272741806859085719 skew: 62700718.06 Y0: -11353290441397119072312837579451455 Y1: 721472725254353419 c0: -7268878955932321043506178633175304342255310769376 c1: 11016155344762659492616649313015306910692260 c2: -233336062956902148240614789416199020 c3: -16367152013593221654947383405 c4: 233435941623797381261 c5: 2509253035955 c6: 3780 type: gnfs Last fiddled with by wombatman on 2022-10-11 at 04:23
 2022-10-12, 11:59 #2279 firejuggler     "Vincent" Apr 2010 Over the rainbow 22×7×103 Posts not a very good one but still Code: n: 8095101662371927421703337019465587498085337648622133688278589711654019359923503887978141510461468343349838217540569173400647791769725685803537804186347867144149599002247585690859122186539724272741806859085719 Y0: -3403035680093388686833052287513969 Y1: 3387782731570550984386367 c0: 26671744634200730491114742724185978306229840 c1: 229806710474402321328281592960115464372 c2: -1923365191633819120479542675367052 c3: -2978744796039860751794086779 c4: 10570382236601192508751 c5: 5226163385407128 c6: 1589728140 skew: 423278.297 # lognorm 60.61, E 50.14, alpha -10.47 (proj -2.62), 4 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=1.257e-15 Last fiddled with by firejuggler on 2022-10-12 at 12:49
 2022-10-12, 13:40 #2280 swellman     Jun 2012 2·52·7·11 Posts CADO gave me a decent result, with score in last line from msieve: Code: n: 8095101662371927421703337019465587498085337648622133688278589711654019359923503887978141510461468343349838217540569173400647791769725685803537804186347867144149599002247585690859122186539724272741806859085719 skew: 879285.978 c0: -29119675796009739247349641483732604108447480 c1: 153433556948946440300396859126168065434 c2: 1413527054900522228585250362796089 c3: -872394574204602910742548386 c4: -1779675141032363072121 c5: 236585480106920 c6: -35666400 Y0: -4569655408887966364776554798126199 Y1: 2030536897444999236071783 # MurphyE (Bf=3.436e+10,Bg=1.718e+10,area=1.476e+17) = 7.638e-09 skew 879285.98, size 3.733e-015, alpha -9.373, combined = 1.302e-015 rroots = 4 This result was from a search with ad < 1M but I will extend my search. Last fiddled with by swellman on 2022-10-12 at 13:41
 2022-10-12, 21:13 #2281 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 5,261 Posts Here's a spin of the last few: Code: Y0: -4569663782822131427953404358159291 Y1: 2030536897444999236071783 c0: 172275861275645666881354279206694170815441664 c1: -247353348597909878912090467534088316630 c2: -1424091643452499771217672520176605 c3: 842996766064271980197749170 c4: 1784562632510298258521 c5: -237468009508520 c6: 35666400 skew: 990769.676 # lognorm 59.66, E 49.82, alpha -9.84 (proj -2.19), 4 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=1.439e-15 Best poly cownoise values: 1200532.09405 1.43841539e-15
 2022-10-13, 18:50 #2282 swellman     Jun 2012 2·52·7·11 Posts CADO produced this polynomial after searching 1-5M, maybe it can be spun. Code: n: 8095101662371927421703337019465587498085337648622133688278589711654019359923503887978141510461468343349838217540569173400647791769725685803537804186347867144149599002247585690859122186539724272741806859085719 skew: 480748.255 c0: -9617905202845852348059028779643989643959360 c1: -53521093480122955249104112481375520152 c2: 283139919291185257484412116696878 c3: 553323331103078337169725405 c4: -1751032649544826107351 c5: -573790319238696 c6: -266222880 Y0: -3454248193118572247295050349639697 Y1: 3843233555815688649179317 # MurphyE (Bf=3.436e+10,Bg=1.718e+10,area=1.476e+17) = 7.819e-09 # cownoise 536862.79178 1.36194536e-15
 2022-10-13, 19:46 #2283 firejuggler     "Vincent" Apr 2010 Over the rainbow 22×7×103 Posts just got Code:  n: 8095101662371927421703337019465587498085337648622133688278589711654019359923503887978141510461468343349838217540569173400647791769725685803537804186347867144149599002247585690859122186539724272741806859085719 Y0: -3251845526958442597299007829060353 Y1: 4433147107782156207490271 c0: 1156490704088259791888670763769641485394560 c1: -24293638133264715793634182746925819052 c2: 107799207730902855966179958526300 c3: -309614932966239418647378447 c4: -1857220828178442110715 c5: 144786624394360 c6: -1780178400 skew: 329731.284 # lognorm 59.24, E 49.65, alpha -9.59 (proj -2.82), 2 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=1.360e-15 Best poly cownoise values: 365976.72477 1.36183534e-15 from searching 6-7M Last fiddled with by firejuggler on 2022-10-13 at 19:49
 2022-10-14, 16:12 #2284 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 5,261 Posts Nothing better came from a spin of the last two.
 2022-10-16, 11:02 #2285 swellman     Jun 2012 2·52·7·11 Posts C208 CADO got a big one! Code: n: 8095101662371927421703337019465587498085337648622133688278589711654019359923503887978141510461468343349838217540569173400647791769725685803537804186347867144149599002247585690859122186539724272741806859085719 skew: 140138.379 c0: 25913254528907171652995260756449843374970 c1: -1290547516892777857501992555209822939 c2: 6199518954766254144637219981714 c3: 264525951419727864944487871 c4: 67907082683742692904 c5: -4745861603713440 c6: 4669896000 Y0: -2803680302662889860338703572179527 Y1: 1891192000626364510493327 # MurphyE (Bf=3.436e+10,Bg=1.718e+10,area=1.476e+17) = 9.383e-09 # skew 140138.38, size 5.715e-015, alpha -8.931, combined = 1.856e-015 rroots = 6 # # cownoise suggests skew 164898.488 which msieve scores as # skew 164898.49, size 5.715e-015, alpha -8.931, combined = 1.858e-015 rroots = 6 While there is no existing record deg 6 for a GNFS 208, this escore feels close to where such a record would be. This ends my deg 6 searching on this composite. That said, I believe a very good deg 5 poly would be a better choice to sieve a C208 (all past jobs on record used a deg 5). So I will start searching for such using CADO.
 2022-10-16, 11:25 #2286 firejuggler     "Vincent" Apr 2010 Over the rainbow 22·7·103 Posts really, really nice. I guess i'll stop once my rootopt is done and I'll look at a 5th degree poly too.
 2022-10-16, 14:21 #2287 EdH     "Ed Hall" Dec 2009 Adirondack Mtns 122158 Posts And, my script attempts still can't get near e-15. The original degree 5 that wombatman posted was "1.297e-015."
2022-10-16, 14:30   #2288
swellman

Jun 2012

2·52·7·11 Posts

Quote:
 Originally Posted by EdH And, my script attempts still can't get near e-15. The original degree 5 that wombatman posted was "1.297e-015."
Ed - can my best deg 6 poly be spun up?

And yes I won’t bother reporting anything below 1.3e-15. Seems like we should able to find a couple of good polys (> 1.4e-15) with a few individual machine-weeks between us all but who knows what results we’ll get.

 Similar Threads Thread Thread Starter Forum Replies Last Post ixfd64 mersennewiki 169 2018-09-21 05:43 carpetpool Miscellaneous Math 14 2017-02-18 19:46 cheesehead Forum Feedback 6 2009-07-28 13:02 R.D. Silverman NFSNET Discussion 13 2005-09-16 20:07 TauCeti NFSNET Discussion 0 2003-12-11 22:12

All times are UTC. The time now is 18:40.

Tue Feb 7 18:40:52 UTC 2023 up 173 days, 16:09, 1 user, load averages: 0.74, 0.85, 0.88

Copyright ©2000 - 2023, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔