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Old 2019-07-25, 21:26   #2091
Max0526
 
"Max"
Jun 2016
Toronto

15758 Posts
Default C163 poly

QUEUED AS 11m10_295

Quote:
Originally Posted by jyb View Post
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
Trial sieving 2K blocks.
Code:
 Q		Yield
---		-----
20M		2266
40M		3012
60M		2643
80M		2820
100M		2702
120M		2524
140M		2147
160M		2655
Recommend sieving special Q on algebraic side, 20M - 130M.
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

Last fiddled with by swellman on 2019-07-25 at 23:05
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Old 2019-07-26, 05:30   #2092
jyb
 
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Aug 2005
Seattle, WA

110111001112 Posts
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Quote:
Originally Posted by Max0526 View Post
It could be a bit better:
Code:
...
Quote:
Originally Posted by Max0526 View Post
This one can be better too:
Code:
...
Thanks for the improved polynomials, Max. Can you tell me about the process you're using to find these better polynomials?
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Old 2019-07-28, 22:43   #2093
RichD
 
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Sep 2008
Kansas

339210 Posts
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QUEUED AS 192750517_29m1

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
Trial sieving 5K blocks.
Code:
  Q  Yield
 20M 13598
 60M 11211
100M 10630
200M  8298
260M  7701

Last fiddled with by swellman on 2019-07-28 at 22:49
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Old 2019-07-29, 22:08   #2094
richs
 
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"Rich"
Aug 2002
Benicia, California

23·3·5·11 Posts
Default C153

QUEUED AS C153_434040_3097

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
Trial sieving 5k blocks:

Code:
  Q  Yield
12M  7020
14M  6542
20M  5826
50M  3837
80M  2927
Suggest 12M-70M range for sieving. I will handle the LA.

Last fiddled with by swellman on 2019-07-29 at 22:27
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Old 2019-08-01, 13:32   #2095
richs
 
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"Rich"
Aug 2002
Benicia, California

23×3×5×11 Posts
Default C180

QUEUED AS C180_829332_3682

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
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
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.

Last fiddled with by swellman on 2019-08-01 at 17:53
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Old 2019-08-02, 14:32   #2096
RichD
 
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Sep 2008
Kansas

26·53 Posts
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QUEUED AS 277xx107_5m1

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
Trial sieving 5K blocks.
Code:
 Q  Yield
16M 12581
20M 14303
30M 13462
40M 11334

Last fiddled with by swellman on 2019-08-02 at 14:37
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Old 2019-08-04, 22:52   #2097
RichD
 
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Sep 2008
Kansas

D4016 Posts
Default

QUEUED AS 3690553_37m1

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
Trial sieving 5K blocks.
Code:
  Q Yield
 12M 9143
 20M 8808
 60M 7257
100M 6291
150M 4951
200M 4845
220M 4523

Last fiddled with by swellman on 2019-08-04 at 23:00
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Old 2019-08-04, 22:58   #2098
RichD
 
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Sep 2008
Kansas

339210 Posts
Default

QUEUED AS 863xxx577_5m1

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 ]
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
Trial sieving 5K blocks.
Code:
  Q  Yield
 12M 11718
 20M 12277
 30M 10791
 40M 11766

Last fiddled with by swellman on 2019-08-04 at 23:11
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Old 2019-08-08, 14:19   #2099
RichD
 
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Sep 2008
Kansas

26×53 Posts
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QUEUED AS 1781xxx2333_5m1

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
Trial sieving 5K blocks.
Code:
  Q  Yield
 20M 13382
 30M 16256
 40M 14768
 42M 14182

Last fiddled with by swellman on 2019-08-08 at 15:50
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Old 2019-08-10, 05:39   #2100
jyb
 
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Aug 2005
Seattle, WA

3·19·31 Posts
Default

QUEUED AS 7m6_307

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
Trial sieving 2K blocks.
Code:
 Q		Yield
---		-----
20M		2133
40M		2730
60M		2519
80M		2000
100M		2469
120M		2235
140M		2120
160M		2291
Recommend sieving special Q on algebraic side, 20M - 146M.

Last fiddled with by jyb on 2019-08-10 at 05:50
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Old 2019-08-10, 05:42   #2101
jyb
 
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Aug 2005
Seattle, WA

3×19×31 Posts
Default

QUEUED AS 8p3_990L

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
Trial sieving 2K blocks.
Code:
 Q		Yield
---		-----
20M		2144
40M		2813
60M		2547
80M		2034
100M		2819
120M		2368
140M		2249
160M		2247
Recommend sieving special Q on algebraic side, 20M - 146M.

Last fiddled with by jyb on 2019-08-10 at 05:53
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