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C163 poly
[B]QUEUED AS 11m10_295[/B]
[QUOTE=jyb;522298]GNFS-163 HCN (11-10,295), ECM to t54+. For 14e. [code] n: 2749516857910708831169108510567621805461762012599518028199720780300785228259737487503901987119229556698905290952155824205777668399527752651048249774053581391757451 # norm 9.361698e-16 alpha -6.900487 e 9.744e-13 rroots 5 skew: 407076534.51 lss: 0 c0: -7044043871026251877062038241352366879564333 c1: 365335903071997242713696865977116522 c2: 3495935211408496032983283796 c3: -1209672132730972006 c4: -19142124471 c5: 12 Y0: -187074687402068900297318835765660 Y1: 69304887589793 rlim: 67000000 alim: 67000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.6 alambda: 2.6 [/code] Trial sieving 2K blocks. [code] Q Yield --- ----- 20M 2266 40M 3012 60M 2643 80M 2820 100M 2702 120M 2524 140M 2147 160M 2655 [/code] Recommend sieving special Q on algebraic side, 20M - 130M.[/QUOTE] This one can be better too:[code]Y0: -187074687401620094805301315588951 Y1: 138609775179586 c0: -283247052629177275583695632125549635104720 c1: 51305134152295701236851295999945436 c2: 866912621460836228041303102 c3: -850241534118667709 c4: -18753575691 c5: 24 skew: 213998392.84 # size 9.041e-16, alpha -6.670, combined = 1.086e-12 rroots = 5[/code] |
[QUOTE=Max0526;522303]
It could be a bit better:[code] ...[/code][/QUOTE] [QUOTE=Max0526;522304] This one can be better too:[code] ...[/code][/QUOTE] Thanks for the improved polynomials, Max. Can you tell me about the process you're using to find these better polynomials? |
[B]QUEUED AS 192750517_29m1[/B]
C230 from the OPN file t550. [CODE]n: 40975053190895625244354261841433466331758696172569153016227902341460883402500240360444871788967455111959353263558957526828620702832762478648542278988573252518587404054017531166578122559307574289579740860774947988537893516953086957 # 192750517^29-1, difficulty: 248.55, skewness: 24.03, alpha: 0.00 # cost: 7.43218e+18, est. time: 3539.13 GHz days (not accurate yet!) skew: 24.034 c6: 1 c0: -192750517 Y1: -1 Y0: 266058879663975657326727079955987106472357 type: snfs rlim: 134000000 alim: 268000000 lpbr: 32 lpba: 32 mfbr: 64 mfba: 64 rlambda: 2.7 alambda: 2.7[/CODE] Trial sieving 5K blocks. [CODE] Q Yield 20M 13598 60M 11211 100M 10630 200M 8298 260M 7701[/CODE] |
C153
[B]QUEUED AS C153_434040_3097[/B]
C153 from aliquot 434040, i3097, for 14e: [CODE]n: 957790893509931323916068677279237493185778691274223163478516997098807909225308053615545686617434037094407400583109279447372082296617319443862426052396419 skew: 16428910.44 c0: -10796148522999234482105021471610481105 c1: 116532220100742122233661343676934 c2: 9233370567988257707417413 c3: -988588192291738550 c4: -29880521844 c5: 1320 Y0: -937863075317084202120200590608 Y1: 39631460168398909 rlim: 29200000 alim: 29200000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 # norm 9.929380e-015 alpha -6.646463 e 3.978e-012 rroots 5[/CODE] Trial sieving 5k blocks: [CODE] Q Yield 12M 7020 14M 6542 20M 5826 50M 3837 80M 2927[/CODE] Suggest 12M-70M range for sieving. I will handle the LA. |
C180
[B]QUEUED AS C180_829332_3682[/B]
C180 from aliquot 829332, i3682, for 14e. Tested to t55. [CODE]n: 556940527200132132854208867567328661523961665167691935298836583617867683327352415435587145291214586514910588208005629756713211655009152862726284530753453151223562309591761233828943 skew: 1673765.73 c0: 474686265203189101896493769508628103832 c1: 450873946025418521924569636862563 c2: -3824013687701916272964867576 c3: 3303745460989437625181 c4: 1090327869055548 c5: 140595840 Y0: -34305743965911181377944515938354567 Y1: 1868038466414918025342517 rlim: 268000000 alim: 268000000 lpbr: 32 lpba: 32 mfbr: 64 mfba: 64 rlambda: 2.8 alambda: 2.8 # size 1.504e-17, alpha -6.589, combined = 9.401e-14 rroots = 1[/CODE] Trial sieving 5k blocks: [CODE] Q Yield 10M 8876 12M 8442 20M 7405 50M 5432 100M 4545 150M 3893 200M 3529 250M 3256 300M 3285 350M 2996[/CODE] Suggest 10M-400M range for sieving. This matrix would be too large for my 8GB laptop to handle the LA so I will have to depend on the goodness of another participant. |
[B]QUEUED AS 277xx107_5m1[/B]
C150 from the OPN t1600 file. [ a.k.a. Phi_5(Phi_3(Phi_47(9181)/1787/p20/p96)/3/379/832327/p26/p44)/101/131/283558721/p13/p24 ] P50^5-1 [CODE]n: 593596597402429288177982151758420408629915264770068711776910816605381220525204510401566163129273695338318868268768896770585147127897029011246048452611 # 27740743604459038856342905171882656608798434010107^5-1 lss: 0 Y0: -87940771211545118694493864296 Y1: 180456765334001 c0: 1645442295715390216428564140977594435 c1: 4657014495667586906548671599878 c2: -5189797080633328709067943 c3: -2580761002758339880 c4: 923861103966 c5: 112860 skew: 2409204.56 type: gnfs rlim: 33500000 alim: 33500000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5[/CODE] Trial sieving 5K blocks. [CODE] Q Yield [B]16M[/B] 12581 20M 14303 30M 13462 40M 11334[/CODE] |
[B]QUEUED AS 3690553_37m1[/B]
C215 from the MWRB file with OPN weight of 556. [CODE]n: 11368619196060221620185321117307411882734901221359724916240917112048985565410008363989746065522648398192728802271590716325086077186955980478382270929772397451542975801443446421977573273089652988236123573302682499521 # 3690553^37-1, difficulty: 242.98, skewness: 0.08, alpha: 0.00 # cost: 4.83696e+18, est. time: 2303.31 GHz days (not accurate yet!) skew: 0.080 c6: 3690553 c0: -1 Y1: -1 Y0: 2526670906333015836790184139079119610129 type: snfs rlim: 67000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 91 rlambda: 2.7 alambda: 3.7[/CODE] Trial sieving 5K blocks. [CODE] Q Yield [B]12M[/B] 9143 20M 8808 60M 7257 100M 6291 150M 4951 200M 4845 220M 4523[/CODE] |
[B]QUEUED AS 863xxx577_5m1[/B]
C150 from the OPN t1200 file. [CODE][ a.k.a. Phi_5(Phi_3(Phi_2(Phi_7(Phi_19(19))/7/p11/p13/p30)/2/5^2/21559/p14/p16)/7/463/8431/68683/4157617/p12/p16)/101/7474321/14725091/33029671/p32 ][/CODE] P51^5-1 [CODE]n: 121410074370284594991486181670664969955397359454374560991207835846080496110306160813834076776035143086794285120938615347407022947392707166894248727281 # 863861361729677723694745808113906493134296919212577^5-1 Y0: -57846686549641988347417289433 Y1: 215875484579123 c0: 2151335619831443745069503043248275168 c1: 2944632311095769716603646982260 c2: -4707574672556698830076444 c3: -1261199303809023575 c4: 1294779413688 c5: 187440 skew: 1998870.37 type: gnfs rlim: 33500000 alim: 33500000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5[/CODE] Trial sieving 5K blocks. [CODE] Q Yield 12M 11718 20M 12277 30M 10791 40M 11766[/CODE] |
[B]QUEUED AS 1781xxx2333_5m1[/B]
C149 from the OPN t800 file. [ a.k.a. Phi_5(Phi_2(Phi_3(Phi_23(61)/47)/3/61/15217)/2/47/p17)/41/p22/p30 ] P51^5-1 [CODE]n: 20235461090769687474445090083363151388210212145938101954815770387988169452570578523048488725107232853169514801605590870854838079652210046103191888921 # 178137130626632223577706933544126507968420645362333^5-1 lss: 0 Y0: -40042722123269702609953966256 Y1: 172804110430927 c0: -81368041975265493418315630672263417 c1: 1021651684684491331555468035329 c2: 1530341393851567006477598 c3: -555426730035301969 c4: -572466590061 c5: 196560 skew: 1479866.47 type: gnfs rlim: 33500000 alim: 33500000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5[/CODE] Trial sieving 5K blocks. [CODE] Q Yield 20M 13382 30M 16256 40M 14768 42M 14182[/CODE] |
[B]QUEUED AS 7m6_307[/B]
GNFS-165 HCN (7-6,307), ECM to t55. For 14e. [code] n: 302566081150856669759617016009832433912608181831352079625564122112551170736893050338316075307066003136906333391514121649661579694013567648352482123307188011382567669 # norm 5.692038e-16 alpha -8.181996 e 7.207e-13 rroots 5 skew: 174500678.61 lss: 0 c0: -14016142025602374815784035550791051977886976 c1: 1179281991032526253373685909550379040 c2: 17891180023213509359329822726 c3: -77069118551717210471 c4: -555327013118 c5: 1104 Y0: -193896622876642059897648591239789 Y1: 51476800301927191 rlim: 67000000 alim: 67000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.6 alambda: 2.6 [/code] Trial sieving 2K blocks. [code] Q Yield --- ----- 20M 2133 40M 2730 60M 2519 80M 2000 100M 2469 120M 2235 140M 2120 160M 2291 [/code] Recommend sieving special Q on algebraic side, 20M - 146M. |
[B]QUEUED AS 8p3_990L[/B]
GNFS-165 HCN (8+3,990L), ECM to t55. For 14e. [code] n: 404521514133502452237771309724873189778481349336499319147248820376356525809993065274259339351125873817156169151392664058338424373525977124041057817293510881378284921 # norm 5.397362e-16 alpha -7.621571 e 6.977e-13 rroots 5 skew: 93940287.74 lss: 0 c0: -1212629433792909401484727141943937958160841 c1: 159898549471616618227742531366388663 c2: 8500594793296627829655507769 c3: -23514843413774761351 c4: -898112395940 c5: 1836 Y0: -185615310075263257619653318581460 Y1: 25076339754446299 rlim: 67000000 alim: 67000000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.6 alambda: 2.6 [/code] Trial sieving 2K blocks. [code] Q Yield --- ----- 20M 2144 40M 2813 60M 2547 80M 2034 100M 2819 120M 2368 140M 2249 160M 2247 [/code] Recommend sieving special Q on algebraic side, 20M - 146M. |
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