Polynomial Request Thread - Page 176

Max0526 · 2020-07-16, 19:48

Quote:

Originally Posted by charybdis

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.

This one doesn't want to spin up for me, sorry.

Max0526 · 2020-07-23, 21:18

This is my baseline poly so far for the cofactor of repunit R337=10,337-=(10^337-1)/9 --> http://factordb.com/index.php?id=1100000001452657297

Code:

n: 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923
Y0: -2553157128146128169078470325120049773051
Y1: 92557913930457455249359
c0: -24269924892834291409180695089340717583973829739140
c1: 42636330110079513899352759705419052226392
c2: 3957783185311186416463864302070291
c3: -14768760269425907363598311
c4: -56084719732214000
c5: 1914000
skew: 214733988.946
# lognorm 65.30, E 57.05, alpha -8.25 (proj -2.09), 5 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=2.39e-15

It's very far from the ideal yet https://www.mersenneforum.org/showpo...&postcount=161
202 / 3.665e-15 / fivemack / 01-18 / 139!+1

The poly above was created with standard CADO settings

Code:

tasks.polyselect.P = 10000000
tasks.polyselect.nq = 3125

after a day of processing on 8 cores (c5 <= 34000).
Now I changed the settings to

Code:

tasks.polyselect.P = 9000000
tasks.polyselect.nq = 15625

Any help in polyselect is much appreciated.

firejuggler · 2020-07-23, 23:18

I'll try to help a bit

Code:

R0: -2271728270202096199753220464249992131314
R1: 147018953092729357033
A0: -7947051480822057080400841199421662500560373228069613655
A1: 802333172972361664969052872395659071650535827
A2: 684112790992267038904861332158865435
A3: 13334129490097954956675341
A4: -4400818742178052
A5: 34320
skew 13433983752.47, size 4.220e-020, alpha -9.497, combined = 2.327e-015 rroots = 5

non-optimised, less than one hour of search

Code:

34320 -3337649156185252 -82555191159336625724023123 369748675130572777432002282943 3902947159441989574205294805079390294386 -5185832533310418574897556645807824701199189 147018953092729357033 -2271728269291221610634968986018330435700 -1.86 2.884489e+027

if you need the nps line

charybdis · 2020-07-24, 00:50

I'll do some CADO work with P=1e7, incr=4620.
Starting at 5e7, going up to at least 10e7 but probably further.

Gimarel · 2020-07-24, 08:54

Just a very short search, the skew might be a bit high:

Code:

# norm 1.047240e-19 alpha -8.729509 e 3.833e-15 rroots 3
skew: 301762739.19
c0: 11215564356883882066951177962632449810312829387024
c1: 33903565023883164855853110645782973572830
c2: -790148174478611179128138965393271
c3: -3300739620613135971563881
c4: 12135194589797968
c5: 17297280
Y0: -1139447368728689380505665914517437650010
Y1: 23552399837075576617127

Max0526 · 2020-07-24, 14:21

Quote:

Originally Posted by Gimarel

Just a very short search, the skew might be a bit high:

Code:

# norm 1.047240e-19 alpha -8.729509 e 3.833e-15 rroots 3
skew: 301762739.19
c0: 11215564356883882066951177962632449810312829387024
c1: 33903565023883164855853110645782973572830
c2: -790148174478611179128138965393271
c3: -3300739620613135971563881
c4: 12135194589797968
c5: 17297280
Y0: -1139447368728689380505665914517437650010
Y1: 23552399837075576617127

Thank you so much, Gimarel! Your poly is already a record for C202!
Some msieve spinup gives us three more branches, all with better score and lower skew:

Code:

Y0: -569723684380800940438196359245718396921
Y1: 70657199511226729851381
c0: 103394935622210316241163667133894195533223700664
c1: 2005134862565171054958260583228432033199
c2: -258722981282823408955980872471445
c3: -6736467009189155856979666
c4: 144172045327866816
c5: 1245404160
skew: 50335474.00
# size 8.799e-20, alpha -8.773, combined = 3.886e-15 rroots = 3

Code:

Y0: -1139447368751799819559798767939344261855
Y1: 70657199511226729851381
c0: 414131087027277212157446839829339648182128763662
c1: 3938291917498509565022621869510130631725
c2: -260120609989173973537888949539122
c3: -3348202989227515489205801
c4: 36150993321281904
c5: 155675520
skew: 100726238.04
# size 8.670e-20, alpha -8.730, combined = 3.875e-15 rroots = 3

Code:

Y0: -569723684377346321534893787818671442815
Y1: 23552399837075576617127
c0: 2794293524269220746715175478746028597050519904406
c1: 17818085759473785140805573263475914913275
c2: -779127010445204126925815826873891
c3: -6708241414872242607368402
c4: 48158833660055872
c5: 138378240
skew: 150814524.18
# size 8.793e-20, alpha -8.773, combined = 3.843e-15 rroots = 3

Plus two subrecord scores for the history:

Code:

Y0: -569723684386953204114037893067337843353
Y1: 117761999185377883085635
c0: 22295171690901223866631583658704258975726662248
c1: 738013074781171311042960984639673808511
c2: -154174054960246606554915462612915
c3: -6786585981782642618136274
c4: 239383076954615360
c5: 3459456000
skew: 30211600.90
# size 7.360e-20, alpha -8.237, combined = 3.470e-15 rroots = 3

Code:

Y0: -1139447368757019102020894226944429456436
Y1: 117761999185377883085635
c0: 89389171428363716256593894583550720559660804920
c1: 1431599780352424578990034597819771586998
c2: -155626473154169367483163573162977
c3: -3358876052995649107933417
c4: 60155827306973840
c5: 432432000
skew: 60449363.15
# size 7.252e-20, alpha -8.193, combined = 3.461e-15 rroots = 3

And there is still a chance that my CADO will spin it up even higher. My bet so far is on alpha -8.730 --> -8.773, combined = 3.875e-15 --> >3.886e-15.
Thank you again, Gimarel! I will send "Gimarel/spin" record to swellman soon.

Max0526 · 2020-07-24, 16:14

One more above the old record that msieve skipped:

Code:

Y0: -569723684715627038050026913061651596861
Y1: 70657199511226729851381
c0: 15165195757557688371309010357658238102316965240
c1: 1117982036714592313681845609439506167510
c2: -72428134860448705922794786122591
c3: -4594789338854482737713513
c4: 57331906391037408
c5: 622702080
skew: 35377857.33480
# lognorm 62.72, E 55.23, alpha -7.49 (proj -2.73), 5 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=3.82311659e-15

Max0526 · 2020-07-24, 17:14

One more from msieve:

Code:

Y0: -569723684950184186855070889737211916384
Y1: 23552399837075576617127
c0: 292424183521258270068017173474700205361630682490
c1: 12950442159698268637814436560389452824549
c2: -69317558566203356725606130354646
c3: -5287454485164598401454569
c4: 15665380876504736
c5: 69189120
skew: 103723066.90
# size 8.793e-20, alpha -7.492, combined = 3.784e-15 rroots = 5

Max0526 · 2020-07-24, 17:59

Quote:

Originally Posted by Max0526

One more above the old record that msieve skipped:

Code:

Y0: -569723684715627038050026913061651596861
Y1: 70657199511226729851381
c0: 15165195757557688371309010357658238102316965240
c1: 1117982036714592313681845609439506167510
c2: -72428134860448705922794786122591
c3: -4594789338854482737713513
c4: 57331906391037408
c5: 622702080
skew: 35377857.33480
# lognorm 62.72, E 55.23, alpha -7.49 (proj -2.73), 5 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=3.82311659e-15

Msieve's version for this c5:

Code:

Y0: -569723684949026562850678788070903507207
Y1: 70657199511226729851381
c0: 10854094171011436963565140327872219205456631640
c1: 1438176643541217081099276440878041520166
c2: -23365660813910434404206787568329
c3: -5284372937137601075486825
c4: 47047153346071008
c5: 622702080
skew: 34632204.72
# size 8.798e-20, alpha -7.492, combined = 3.826e-15 rroots = 5

charybdis · 2020-07-24, 21:04

Quote:

Originally Posted by Gimarel

Just a very short search, the skew might be a bit high:

Code:

# norm 1.047240e-19 alpha -8.729509 e 3.833e-15 rroots 3
skew: 301762739.19
c0: 11215564356883882066951177962632449810312829387024
c1: 33903565023883164855853110645782973572830
c2: -790148174478611179128138965393271
c3: -3300739620613135971563881
c4: 12135194589797968
c5: 17297280
Y0: -1139447368728689380505665914517437650010
Y1: 23552399837075576617127

Wow! A short search on a powerful GPU or a sizeable cluster? I haven't got anywhere near this with over 100 CPU-days of CADO polyselect.

Max0526 · 2020-07-24, 22:39

Need a tiny bit more for a 4-handle:

Code:

Y0: -569723684304088089195259779588001405443
Y1: 23552399837075576617127
c0: 505409935104606636346765120571947452830231601706
c1: 24337493665962245988275300544450649706083
c2: -419443235351920249306889843223018
c3: -3047836850206993357568617
c4: 25155458478309536
c5: 69189120
skew: 134686272.68
# size 9.157e-20, alpha -7.906, combined = 3.936e-15 rroots = 5

These two are above the old record score:

Code:

# norm 1.029893e-19 alpha -7.686614 e 3.753e-15 rroots 5
skew: 133288735.41
c0: 409947409293673405277995475973364635511817242458
c1: 23422306857324656967224254162720895646384
c2: -429127458341869422371192743620441
c3: -2938518670714400442033641
c4: 25528536245771936
c5: 69189120
Y0: -569723684278688498191362202572369751960
Y1: 23552399837075576617127

Code:

# norm 9.966532e-20 alpha -7.415519 e 3.672e-15 rroots 5
skew: 105592987.43
c0: 61633467227305374113188011678947475381823629340
c1: 10321629742854314872922754762329552155009
c2: -208838401402537296637503699244212
c3: -4641134847941010102198505
c4: 18899732150258336
c5: 69189120
Y0: -569723684729985593743901178817246752522
Y1: 23552399837075576617127

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2020-07-24, 00:50	#1929
charybdis Apr 2020 193 Posts	I'll do some CADO work with P=1e7, incr=4620. Starting at 5e7, going up to at least 10e7 but probably further.