Polynomial Request Thread - Page 136

unconnected · 2018-08-24, 10:58

Code:

11857541848676311058331273948237703110453334631120714278401183260173506268505583582796221779457631980617586124117886022109888156608155997738833467983141395236812871

Please assist with C164 poly selection. Here are the best 3 polys I've found so far:

Code:

# norm 7.617207e-16 alpha -7.145020 e 8.524e-13 rroots 5
skew: 32683663.23
c0: -3966490994774482383540318559056602332320
c1: 12265970462574325330928144764795216
c2: 2186867376256430396406614172
c3: 6448336709623226379
c4: -1756066075082
c5: 9660
Y0: -65736038627031892645335666284159
Y1: 88377543446363483

# norm 7.549764e-16 alpha -7.251536 e 8.492e-13 rroots 5
skew: 86904509.88
c0: -837201155572963843413637456118433544355840
c1: 26503119555433094177607919576014748
c2: 3345234742295689659335956563
c3: 14602083980868534668
c4: -455857813582
c5: 540
Y0: -117036195321734878891889468087943
Y1: 22038542391814783

# norm 7.364997e-16 alpha -6.931896 e 8.451e-13 rroots 5
skew: 22469499.94
c0: -17101163914273269151896660559538150200653
c1: 11296333590745321345335517869803229
c2: 653538918765320479478053976
c3: -66639135898759209346
c4: -1307826116496
c5: 36600
Y0: -50361971637815187221825416834486
Y1: 129377768177107219

swellman · 2018-08-24, 11:48

Quote:

Originally Posted by unconnected

Code:

11857541848676311058331273948237703110453334631120714278401183260173506268505583582796221779457631980617586124117886022109888156608155997738833467983141395236812871

Please assist with C164 poly selection.

I’ll search c5 < 2M. Let’s see if we can find a 9-handle score.

swellman · 2018-08-24, 16:39

Code:

R0: -83349487052921712350499692155586591083
R1: 810844109538752041
A0: -97915664054460550317713591045420235277615980672
A1: 846329561591571723880693147691290954688
A2: 54941320805427593585437992869820
A3: -242711567357049924355941
A4: -4225717404669166
A5: 2216280
skew 131532542.30, size 2.882e-19, alpha -7.188, combined = 7.952e-15 rroots = 5

swellman · 2018-08-27, 01:12

Quote:

Originally Posted by swellman

I’ll search c5 < 2M. Let’s see if we can find a 9-handle score.

Embarrassingly low score, only the skew looks good.

Code:

# norm 6.621078e-16 alpha -7.180907 e 7.881e-13 rroots 3
skew: 5126446.67
c0: -911309833154596576411998660880575172325
c1: -1213568091410128644572237281412741
c2: 605670967083545749811006059
c3: 7864345072096240941
c4: 355318416426
c5: 1497960
Y0: -23971703087380098462367270360524
Y1: 924835337769097

Searching 2-5M next.

swellman · 2018-08-27, 21:42

Quote:

Originally Posted by swellman

Searching 2-5M next.

Only found one poly north of 8:

Code:

# norm 7.120569e-16 alpha -7.149946 e 8.210e-13 rroots 5
skew: 4633719.36
c0: 1074208475470147868460812571265769477605
c1: 2165106307857593946267095174426587
c2: 368148781238923016888620866
c3: -254054769662352420748
c4: -8834986409494
c5: 3663900
Y0: -20045191558238051382066741029478
Y1: 1073840293562137

Sorry I couldn't find better! I am done with this search.

ETA: Now searching 1-2M on the C188.

unconnected · 2018-08-28, 08:59

Thank you for help, Sean! I'll test-sieve these polys and then post the best one to 14e queue thread.

Gimarel · 2018-08-28, 10:10

Code:

R0: -64285707305655114945455272596605
R1: 1673548105060375597
A0: -1847462174931164689013489056327023634152
A1: 2833689699344734999893652283529612
A2: 581105963827455815730622010
A3: -33504608366861345843
A4: -1167729544248
A5: 10800
skew 21118688.15, size 6.685e-16, alpha -6.754, combined = 8.935e-13 rroots = 5

Gimarel · 2018-08-28, 15:19

One more poly, this time above 9e-13.

Code:

R0: -65178690112913129350215256794116
R1: 3541858018926250721
A0: 37263784939829926343794460682205332355155
A1: 5676124299692241845939292797526373
A2: -705673504845272308670168448
A3: -25997468138957649615
A4: 2559609840931
A5: 10080
skew 21850510.91, size 7.446e-16, alpha -7.649, combined = 9.561e-13 rroots = 3

RichD · 2018-08-29, 00:53

A poor showing for the first half of 4-5M.

Code:

N: 18542951545768537847599033843697023124198220145962227794225956507917052033530134528476420619374854116700926506230430088859878776248843792600128881295042916994468287033412294014153979070999
# expecting poly E from 2.78e-14 to > 3.19e-14
R0: -1339605222796718317818413374123832160
R1: 1135393553375595701
A0: 42901889678928441549838542902064751781622417899
A1: 5841549807753154973906919811351469839735
A2: -8784748659122512964792623218185
A3: -699346270064575834623175
A4: 362893665138246
A5: 4298280
skew 182214554.04, size 1.932e-18, alpha -8.885, combined = 2.561e-14 rroots = 5

VBCurtis · 2018-08-30, 16:10

My best on the C188 so far is 2.71e-14. No other poly was above 2.50.
I set stage 1 norm too tight, and blew through 8-10M in under a week.
Continuing with 10-12M and a looser stage1 norm.

LaurV · 2018-08-30, 17:25

We just spotted today that, after about 250 hours of sieving with a 10 cores/20 threads cow (it took about 15 days wall clock time, because the cow was not ruminating continuously) for one of the polys given by VBCurtis in post #1460 (thanks again!) for the C167, we are here now:

Code:

Thu Aug 30 05:45:09 2018  matrix is 10484785 x 10485033 (3087.9 MB) with weight 800490458 (76.35/col)
Thu Aug 30 05:45:09 2018  sparse part has weight 704612316 (67.20/col)
Thu Aug 30 05:45:09 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Thu Aug 30 05:45:50 2018  commencing Lanczos iteration (20 threads)
Thu Aug 30 05:45:50 2018  memory use: 2513.7 MB
Thu Aug 30 05:46:05 2018  linear algebra at 0.0%, ETA 26h49m
Thu Aug 30 05:46:09 2018  checkpointing every 410000 dimensions

linear algebra at 0.0%, ETA 26h49m0485033 dimensions (0.0%, ETA 26h49m)
checkpointing every 410000 dimensions5033 dimensions (0.0%, ETA 25h52m)
 linear algebra completed 6966711 of 10485033 dimensions (66.4%, ETA 9h24m)

We continue.
Edit: there seems to be some screen mess yafu does when printing those last 3 lines, we just copied with mess included

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2018-08-28, 08:59	#1491
unconnected May 2009 Russia, Moscow 2,593 Posts	Thank you for help, Sean! I'll test-sieve these polys and then post the best one to 14e queue thread.

2018-08-30, 16:10	#1495
VBCurtis "Curtis" Feb 2005 Riverside, CA 11·443 Posts	My best on the C188 so far is 2.71e-14. No other poly was above 2.50. I set stage 1 norm too tight, and blew through 8-10M in under a week. Continuing with 10-12M and a looser stage1 norm.