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Old 2018-11-09, 09:10   #1596
RichD
 
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Sep 2008
Kansas

26×53 Posts
Default C190 Poly
Another possible one.
Code:
R0: -4217555189911118331247808857215070986
R1: 1186756241828553551
A0: 17298272610077770616710279373473052168201812883
A1: 2209073550428678879259714626463446443372
A2: -20157311101038258507320832461073
A3: -932974706150713711846528
A4: 1334594569974394
A5: 5768400
skew 130206299.83, size 1.021e-18, alpha -8.165, combined = 1.721e-14 rroots = 5
Shall we continue this search?
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Old 2018-11-09, 09:39   #1597
swellman
 
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Jun 2012

1100000101002 Posts
Default
Quote:
Originally Posted by RichD View Post
Another possible one.
Code:
R0: -4217555189911118331247808857215070986
R1: 1186756241828553551
A0: 17298272610077770616710279373473052168201812883
A1: 2209073550428678879259714626463446443372
A2: -20157311101038258507320832461073
A3: -932974706150713711846528
A4: 1334594569974394
A5: 5768400
skew 130206299.83, size 1.021e-18, alpha -8.165, combined = 1.721e-14 rroots = 5
Shall we continue this search?
I think more searching is needed. We’ve not covered 2-4M, nor above 6M.

Currently my machine is searching below 1M but it’s slow going down there.

We need a CADO run.
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Old 2018-11-09, 13:13   #1598
RichD
 
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Sep 2008
Kansas

65008 Posts
Default C190 Poly
Continuing 6-7M.
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Old 2018-11-09, 16:47   #1599
RichD
 
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Sep 2008
Kansas

339210 Posts
Default C174 Poly
Baseline.
Code:
N: 432054057707546289745745850509961246895462293038630183477632760475717205695339416569916789360524301370143054612854797829090829816051175921481941940556514625531219342513676569
# expecting poly E from 1.87e-13 to > 2.15e-13
R0: -2641169926999937657200923876905149
R1: 41027611631674261
A0: -2285376267623954219603034261824085434927100
A1: 706695421722620634742032510205328427
A2: 66599349061488499134047171804
A3: -5481972086038177356058
A4: -178370223536676
A5: 3361680
skew 20512416.77, size 5.230e-17, alpha -8.016, combined = 1.930e-13 rroots = 5
Edit: Continuing with 4-5M.
Last fiddled with by RichD on 2018-11-09 at 16:48
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Old 2018-11-10, 13:30   #1600
Max0526
 
"Max"
Jun 2016
Toronto

89310 Posts
Default C190 poly
Quote:
Originally Posted by RichD View Post
Another possible one.
Code:
R0: -4217555189911118331247808857215070986
R1: 1186756241828553551
A0: 17298272610077770616710279373473052168201812883
A1: 2209073550428678879259714626463446443372
A2: -20157311101038258507320832461073
A3: -932974706150713711846528
A4: 1334594569974394
A5: 5768400
 skew 130206299.83, size 1.021e-18, alpha -8.165, combined = 1.721e-14 rroots = 5
Shall we continue this search?
I can't spin this one up, sorry.
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Old 2018-11-10, 13:51   #1601
Max0526
 
"Max"
Jun 2016
Toronto

19·47 Posts
Default C174 poly
Quote:
Originally Posted by RichD View Post
Baseline.
Code:
N: 432054057707546289745745850509961246895462293038630183477632760475717205695339416569916789360524301370143054612854797829090829816051175921481941940556514625531219342513676569
# expecting poly E from 1.87e-13 to > 2.15e-13
R0: -2641169926999937657200923876905149
R1: 41027611631674261
A0: -2285376267623954219603034261824085434927100
A1: 706695421722620634742032510205328427
A2: 66599349061488499134047171804
A3: -5481972086038177356058
A4: -178370223536676
A5: 3361680
skew 20512416.77, size 5.230e-17, alpha -8.016, combined = 1.930e-13 rroots = 5
Edit: Continuing with 4-5M.
It can be a bit better:
Code:
R0: -5282339853996656000799945169572411
R1: 41027611631674261
A0: -9030191800256244823254102410923452635332532
A1: 1423791830265528524703623617571742509
A2: 65952472879170808520938423229
A3: -2754956346725120046821
A4: -44427692793819
A5: 420210
skew: 41062699.33
# size 5.229e-17, alpha -8.016, combined = 1.948e-13 rroots = 5
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Old 2018-11-10, 18:24   #1602
RichD
 
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Sep 2008
Kansas

65008 Posts
Default C174 Poly
Another good one for consideration.
Code:
R0: -2524571508238685674363146598302285
R1: 35615102010291133
A0: -165127971785246846078314043107586050939112
A1: 199668343172658023899735994480146766
A2: 52069717280031109065621515561
A3: 676609079058031925866
A4: -226683875891892
A5: 4213080
skew 14612272.72, size 5.666e-17, alpha -7.519, combined = 2.003e-13 rroots = 5
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Old 2018-11-10, 22:18   #1603
RichD
 
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Sep 2008
Kansas

26×53 Posts
Default C196 Poly
Quote:
Originally Posted by VBCurtis View Post
Aliquot sequence 3366:i2183 is a C196 that is ready for GNFS:
I'll take 4-5M.
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Old 2018-11-11, 04:03   #1604
Max0526
 
"Max"
Jun 2016
Toronto

19·47 Posts
Default C190 poly
Quote:
Originally Posted by Max0526 View Post
And we have a winner!
It might be even better after CADO, when I get to it.
Code:
Y0: -5731210371172436723321645922668980041
Y1: 434805938509131226
c0: 680383747110037239071172082738854843930630680
c1: 40343549953758699237620989711012313334
c2: -3420197836882944131012480023963
c3: -175748298956716160585976
c4: 1584279139757561
c5: 2489760
skew: 51845575.30251
 # size 1.243e-18, alpha -7.240, combined = 1.944e-14 rroots = 5
CADO can't improve the E score but it shows a smaller lognorm (59.57 instead of 59.86 -- it should sieve better):
Code:
Y0: -5731210371172891680776181198090780237
Y1: 434805938509131226
c0: -634629095650929543509327450260720836012843200
c1: -46916477067162728843472689396188764498
c2: 2858138577668757917148558578419
c3: 182351856632609375992800
c4: -1571253387672761
c5: -2489760
skew: 51528352.49886
# lognorm 59.57, E 52.33, alpha -7.24 (proj -1.82), 5 real roots
# MurphyE = 1.94387212e-14
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Old 2018-11-14, 17:31   #1605
RichD
 
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Sep 2008
Kansas

26·53 Posts
Default C196 Poly
A poor baseline.
Code:
R0: -73294778997283695471174345008792340343
R1: 7012843940433395207
A0: -743537236478008846419829805748993334585758417120
A1: 9991161539389940200540114780551930692158
A2: 35993113436025661004361623815987
A3: -1013903777712682135508456
A4: -424127146264716
A5: 4214772
skew 260814076.92, size 2.242e-19, alpha -7.085, combined = 6.811e-15 rroots = 3
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Old 2018-11-15, 02:32   #1606
Max0526
 
"Max"
Jun 2016
Toronto

89310 Posts
Default C174 poly
Quote:
Originally Posted by RichD View Post
Another good one for consideration.
Code:
R0: -2524571508238685674363146598302285
R1: 35615102010291133
A0: -165127971785246846078314043107586050939112
A1: 199668343172658023899735994480146766
A2: 52069717280031109065621515561
A3: 676609079058031925866
A4: -226683875891892
A5: 4213080
skew 14612272.72, size 5.666e-17, alpha -7.519, combined = 2.003e-13 rroots = 5
CADO insists that the poly below is a better one although it has a lower score:
Code:
Y0: -2524571508339158014040298501963265
Y1: 35615102010291133
c0: -344314345336315271843481825313279012067472
c1: -56269741746444653708711611743481754
c2: 34573353579676316689202194481
c3: 3569857234785242187946
c4: -286110633215892
c5: 4213080
skew: 13665011.87098
# lognorm 55.35, E 47.83, alpha -7.52 (proj -2.45), 5 real roots
# MurphyE = 1.99839495e-13
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