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[QUOTE=xilman;477044]Thanks. I'll set up some candidates.
Added in edit: 265*(9^265+1).C232 aka GC(9,265) aka 9,265+ now added to the 15e queue. It's been years since I put anything there so may have mis-remembered the procedure. Could someone cast a critical eye over it please? If all is well I'll add 9,266+, 12,236+ and 12,238+[/QUOTE] That looks reasonable, but it would be nice to have a sieving range - you've presumably done some trial sieving. I usually use the Y0/Y1 notation rather than m, but I think that's just an idiosyncrasy on my part and the siever will work fine. Default is to sieve on the rational side, 'lss: 0' for the algebraic one. |
C160 from the t600 file.
( a.k.a. Phi_3(Phi_13(44611351)/225629*3919943)/3 ) [CODE]n: 1645198996771698287519863000103286845983679086526137651458314721270137400493141395353109314720582263630795645925431899925091171439403445582834679495769727909407 # 70253804098533303996256039060114483059484940828633741987845788959049023444144179^3-1 Y0: -8510992183097608908062342669389 Y1: 3119774805895455331 c0: -2458879178066279636329775588966198643600 c1: 175013919598807213096374655733910 c2: 184284825279548288432637647 c3: 1077827593448971645 c4: -992173422658 c5: 73680 skew: 9223168.66838 # lognorm 50.25, E 42.78, alpha -7.47 (proj -1.69), 3 real roots # MurphyE = 1.53414751e-12 lss: 0 type: gnfs rlim: 80000000 alim: 80000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.6 alambda: 2.6[/CODE] Trial sieving 5K blocks. [CODE] Q Yield 20M 9207 50M 6194 80M 4735 110M 4844[/CODE] |
C227 from the OPN t600 file.
( a.k.a. Phi_11(Phi_83(3)/167*12119*1036745531) ) [CODE]n: 26203677826730851377939430233626534532641385178649456490321172522050584861944654221947297095921282393175735198139983340765314029246333295994370171982113084465746386028525242503793016869208931881500957725963368575548045513021493 # 950996059627210897943351^11-1, difficulty: 239.78, skewness: 1.00, alpha: 2.22 # cost: 3.76853e+18, est. time: 1794.54 GHz days (not accurate yet!) skew: 1.000 c5: 1 c4: 1 c3: -4 c2: -3 c1: 3 c0: 1 Y1: -950996059627210897943351 Y0: 904393505426481665605349523006322663681605109202 type: snfs rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 62 rlambda: 2.7 alambda: 2.7[/CODE] Trial sieving 5K blocks. [CODE] Q Yield 20M 8630 60M 9469 100M 9974 150M 8850 200M 8984[/CODE] |
C160 from the OPN t600 file.
( a.k.a. Phi_3(Phi_11(Phi_3(794191)/2/3^/5/23/307/1151)/23/858001)/3/151 ) [CODE]n: 2919357762182025637085736884361041528026147286452771585642240169286735537985256859236432072193315178520639434000278148158555949326472316399110665642570661007011 # 1149986550472855579648408239822856912298581122489969299470029337872846236797481461^3-1 # expecting poly E from 1.35e-12 to > 1.56e-12 lss: 0 Y0: -4722891534396009461283724343702 Y1: 5216350505029673 c0: 578637001754130307843070131474029555 c1: -23476954085250857643262788342 c2: -10969905444374948895614757 c3: -36272430452838801366 c4: 4272682082006 c5: 1242360 # skew 1539269.06, size 1.694e-15, alpha -6.538, combined = 1.549e-12 rroots = 3 skew: 1539269.06 type: gnfs rlim: 80000000 alim: 80000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.6 alambda: 2.6[/CODE] Trial sieving 5K blocks. [CODE] Q Yield 20M 11408 60M 9899 100M 10282 120M 8672[/CODE] |
C199 from the OPN t1000 file.
3LPs provide a better yield but the times are a little slower. Not having to go as deep into the special-Qs may be quicker overall. I will look closer in the future since I have several of these quartics. [CODE]n: 5262199667347704370383382573882546842844132668115527189076062581874638943044817276421916975296385935474146837843853199024201903372763704218014620151293853622962990584469731632691969324944794952060901 # 441047607640944329101719685655443319185854243052422221^5-1, difficulty: 214.58, skewness: 1.00, alpha: 1.45 # cost: 4.90392e+17, est. time: 233.52 GHz days (not accurate yet!) skew: 1.000 c4: 1 c3: 1 c2: 1 c1: 1 c0: 1 Y1: -1 Y0: 441047607640944329101719685655443319185854243052422221 type: snfs rlim: 67000000 alim: 67000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 93 rlambda: 2.6 alambda: 3.6[/CODE] Trial sieving 5K blocks. Perhaps starting at Q=30M. [CODE] Q Yield 20M 6624 30M 7904 60M 9442 100M 9569 140M 8383 180M 7984[/CODE] |
[QUOTE=RichD;478263]C199 from the OPN t1000 file.
3LPs provide a better yield but the times are a little slower. Not having to go as deep into the special-Qs may be quicker overall. lpbr: 31 lpba: 31 mfbr: 62 mfba: 93 [/QUOTE] It is my experience with 3LP that trying mfba = 3 * lpba -2 improves speed quite a bit without hurting yield much. Maybe give mfba = 91 a try? I found 32/93 quicker than 32/95, but I didn't experiment much with 31bit 3LP. The idea (I think) is that 93-bit cofactors are unlikely to split into 31*31*31, so we shouldn't bother trying to split them. |
[QUOTE=VBCurtis;478268]It is my experience with 3LP that trying mfba = 3 * lpba -2 improves speed quite a bit without hurting yield much. Maybe give mfba = 91 a try? I found 32/93 quicker than 32/95, but I didn't experiment much with 31bit 3LP.
The idea (I think) is that 93-bit cofactors are unlikely to split into 31*31*31, so we shouldn't bother trying to split them.[/QUOTE] I was going to try mfba = 92 but it slip my mind until you mentioned the above. I will try 90 & 91 going forward. I have about 8-10 of these quartics that are ready for SNFS. It just takes a while to perform trial sieving on my antiquated MacBook Pro (C2D processor era). |
C156 for HP10(10319)--index 223
This C156 is a current blocker for Home Primes base 10 #10319 and seems like a good candidate for 14e:
[CODE]n: 829947270509843783968285132730360242554211003188405745637764693710273647973469773749403752968599120365370119962963727902520256786907451772898125027846577241 #norm 4.318399e-015 alpha -7.710025 e 2.361e-012 rroots 5 skew: 1818364.43 c0: 15404695912880251969672235365489751625 c1: 96169763706945968510973435993989 c2: -55451960683080945242365464 c3: -52672332961861307650 c4: 15731934889652 c5: 7819728 Y0: -638515978727085600665939620354 Y1: 3485497284917351 rlim: 33600000 alim: 33600000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 60 rlambda: 2.6 alambda: 2.6[/CODE] Test sieving yielded the following (note that the sec/rel would really be about 2x as fast--these were done on a computer carrying out numerous tasks): [CODE]q=8M: total yield: 2740, q=8002003 (0.07685 sec/rel) q=12M: total yield: 2970, q=12002059 (0.07785 sec/rel) q=16M: total yield: 3047, q=16002001 (0.07880 sec/rel) q=20M: total yield: 2630, q=20002007 (0.08051 sec/rel) q=24M: total yield: 2884, q=24002051 (0.08107 sec/rel) q=28M: total yield: 2822, q=28002019 (0.08472 sec/rel) q=32M: total yield: 3291, q=32002021 (0.08572 sec/rel) q=40M: total yield: 3255, q=40002023 (0.08797 sec/rel) q=50M: total yield: 2498, q=50002009 (0.09430 sec/rel)[/CODE] Based on previous numbers, I would expect to need ~50M relations to solve, so a q-range of ~10M-45M should do it, but it's feasible to increase to 50M or 60M and drop down to 8M as needed. I would be happy to run the linear algebra on this once it's done. |
Shoot. Forgot to mention that this was on the a-side. Apologies.:smile:
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I have queued wombatman's number and RichD's first three numbers; waiting for information about trial sieving with different mfb figures before queuing the C199 quartic.
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[QUOTE=RichD;478263]C199 from the OPN t1000 file.
3LPs provide a better yield but the times are a little slower. Not having to go as deep into the special-Qs may be quicker overall. I will look closer in the future since I have several of these quartics. [CODE]n: 5262199667347704370383382573882546842844132668115527189076062581874638943044817276421916975296385935474146837843853199024201903372763704218014620151293853622962990584469731632691969324944794952060901 # 441047607640944329101719685655443319185854243052422221^5-1, difficulty: 214.58, skewness: 1.00, alpha: 1.45 # cost: 4.90392e+17, est. time: 233.52 GHz days (not accurate yet!) skew: 1.000 c4: 1 c3: 1 c2: 1 c1: 1 c0: 1 Y1: -1 Y0: 441047607640944329101719685655443319185854243052422221 type: snfs rlim: 67000000 alim: 67000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 93 rlambda: 2.6 alambda: 3.6[/CODE][/QUOTE] A C199 quartic will be harder on the rational side, so I would expect [code] mfbr: 92 mfba: 62 rlambda: 3.6 alambda: 2.6 [/code] to work better. At least try trial sieving it. Chris |
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