Polynomial Request Thread - Page 175

Max0526 · 2020-06-10, 23:42

Quote:

Originally Posted by Max0526

This score seems to be correct though. And a tiny bit better one would be

Code:

Y0: -5205781774373959927149245483791813937
Y1: 1057936587640601961509
c0: -5686459119379546383868312456212608964608715000
c1: 55171522593898081478578963518287579054
c2: 10085135848914202706683862380393
c3: -7118938546537264210789
c4: -2016218879976108
c5: 14387760
skew: 62445208.04596
# size 1.175e-18, alpha -7.905, combined = 1.929e-14 rroots = 3

Have a 2-handle for this poly already. Will post later today.

Max0526 · 2020-06-11, 01:20

Quote:

Originally Posted by Max0526

Have a 2-handle for this poly already. Will post later today.

A new record. Could still be better after msieve:

Code:

Y0: -5205781746528095638787972503070345657
Y1: 1057936587640601961509
c0: -3021740382260461710789325765249649273115956880
c1: 458741375285761175335003072005774339494
c2: 3765689607138999637265200695553
c3: -119716800044367345888229
c4: -122723480280108
c5: 14387760
skew: 72476522.31603
# lognorm 60.28, E 51.68, alpha -8.60 (proj -1.85), 1 real root
 # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 2.10566259e-14

Code:

Y0: -5205781712997189045929695636972272005
Y1: 1057936587640601961509
c0: 484821839271733285524687781746075445408808128
c1: 29221953804956670010325735057052423800
c2: -3776246327154337494944897157885
c3: 9256662830713768470875
c4: 2157350024486292
c5: 14387760
skew: 42742458.41093
# lognorm 59.27, E 52.19, alpha -7.08 (proj -1.85), 5 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 2.00314199e-14

Max0526 · 2020-06-11, 03:17

Verdict from msieve for both polys:

Code:

Y0: -5205781757719743373227578143985640916
Y1: 1057936587640601961509
c0: -7314947241557458055193447443361486635768979210
c1: 340358382049442891493236364674684165433
c2: 7312316325168492328555364843242
c3: -98422417194401438870197
c4: -883746132718908
c5: 14387760
skew: 71823849.10090
# size 1.332e-18, alpha -8.600, combined = 2.108e-14 rroots = 1

Code:

Y0: -5205781715926228252315446008072780711
Y1: 1057936587640601961509
c0: 374898724232580791582750084931480518008359940
c1: 50165997442457849327968025608179943808
c2: -3756963850672456636454728861623
c3: -13532117788432146804037
c4: 1958177816887092
c5: 14387760
skew: 43603421.70707
# size 1.268e-18, alpha -7.082, combined = 2.003e-14 rroots = 5

swellman · 2020-06-11, 12:37

Nicely done Max!

And a new record for a c191. Will update the top GNFS scores post as well as test sieve for eventual enqueuing in 15e.

unconnected · 2020-06-17, 08:03

Can this be improved?

Code:

# norm 4.114534e-17 alpha -6.471010 e 1.464e-13 rroots 5
n: 18119085669666404730202484342014872947682403489674125395236236588623428666177690467622729092327751605871573519020781055449161049075427646165049560534028966783532365417239588333
skew: 32627226.80
c0: 382375337035945638071562721265672440918532
c1: 188358370356875969188406669428970452
c2: -5794501307473912495960486391
c3: -2520438126907821569782
c4: 7078379257434
c5: 99180
Y0: -11280865821245794192272316283304795
Y1: 2351863988339006449
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.6
alambda: 2.6
type: gnfs

charybdis · 2020-06-17, 17:15

Quote:

Originally Posted by unconnected

Can this be improved?

Try this:

Code:

n: 18119085669666404730202484342014872947682403489674125395236236588623428666177690467622729092327751605871573519020781055449161049075427646165049560534028966783532365417239588333
skew: 16508640.149
c0: -479716415169246643997481358319157864345098
c1: 18472740348002802195629694520690393
c2: 10417889691767568744979138148
c3: -303465771043108193383
c4: -29524527663960
c5: 157500
Y0: -11841805270520518000090627743697464
Y1: 751925356617366340603603

Cownoise says

Code:

20695580.25459 1.77080748e-13

which looks to be a new record for c176.

unconnected · 2020-06-18, 08:39

charybdis, thank you, very good poly!

Max0526 · 2020-06-18, 19:06

Quote:

Originally Posted by charybdis

Try this:

Code:

n: 18119085669666404730202484342014872947682403489674125395236236588623428666177690467622729092327751605871573519020781055449161049075427646165049560534028966783532365417239588333
skew: 16508640.149
c0: -479716415169246643997481358319157864345098
c1: 18472740348002802195629694520690393
c2: 10417889691767568744979138148
c3: -303465771043108193383
c4: -29524527663960
c5: 157500
Y0: -11841805270520518000090627743697464
Y1: 751925356617366340603603

Cownoise says

Code:

20695580.25459 1.77080748e-13

which looks to be a new record for c176.

Msieve variant before CADO spin trial:

Code:

Y0: -11841059882402951065132989348421946
Y1: 751925356617366340603603
c0: -451490725671087625163876354673800289787800
c1: 38118453219256605726041579512835765
c2: 9342861328992881858514882194
c3: -418989403777529620423
c4: -28743874188960
c5: 157500
skew: 20611810.04
# size 4.400e-17, alpha -6.675, combined = 1.771e-13 rroots = 5

Max0526 · 2020-06-19, 17:08

Quote:

Originally Posted by charybdis

Try this:

Code:

n: 18119085669666404730202484342014872947682403489674125395236236588623428666177690467622729092327751605871573519020781055449161049075427646165049560534028966783532365417239588333
skew: 16508640.149
c0: -479716415169246643997481358319157864345098
c1: 18472740348002802195629694520690393
c2: 10417889691767568744979138148
c3: -303465771043108193383
c4: -29524527663960
c5: 157500
Y0: -11841805270520518000090627743697464
Y1: 751925356617366340603603

Cownoise says

Code:

20695580.25459 1.77080748e-13

which looks to be a new record for c176.

I tried and couldn't spin it. It's just too good! +1 for charybdis!

unconnected · 2020-07-01, 10:26

Another poly is waiting to improve

Code:

# norm 1.142630e-16 alpha -7.832071 e 2.734e-13 rroots 3
n: 525192933198425310942568096373679376573022392355599200733494017859956132656856970821636003559353551074362384941717314333715490580942355722743279047483667544381553532051041
skew: 67021910.74
c0: -3717858516714759555419436933851122015963065
c1: -587556727468617341075618811148005479
c2: -5913500475217500531333152285
c3: -1275083517336432056201
c4: 4725278783422
c5: 68952
Y0: -1500909129791832911677038552927364
Y1: 467498687465849179

charybdis · 2020-07-01, 18:20

Quote:

Originally Posted by unconnected

Another poly is waiting to improve

A better one:

Code:

n: 525192933198425310942568096373679376573022392355599200733494017859956132656856970821636003559353551074362384941717314333715490580942355722743279047483667544381553532051041
skew: 2479085.681
c0: -482019564521108165860642101080263008240
c1: 1200453713794969869922760288070706
c2: -560020333680385350094155277
c3: -1027934460307064974283
c4: 84009020778630
c5: 9941400
Y0: -880168648803622326108553370797099
Y1: 10038702154413154482637

3.465e-13 according to cownoise.

2020-06-11, 12:37	#1918
swellman Jun 2012 2²×773 Posts	Nicely done Max! And a new record for a c191. Will update the top GNFS scores post as well as test sieve for eventual enqueuing in 15e. Last fiddled with by swellman on 2020-06-11 at 12:41

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2020-06-18, 08:39	#1921
unconnected May 2009 Russia, Moscow 2,593 Posts	charybdis, thank you, very good poly!