Polynomial Request Thread - Page 123

Max0526 · 2018-06-26, 22:48

Quote:

Originally Posted by RichD

Another early baseline.

Code:

N: 9940228815572729974479805041160093457799465836723047107028814844367343645759844924667871218783311382744144475849662072771372543751420348902351458832811698585316610540775038942091519187
# expecting poly E from 4.39e-14 to > 5.04e-14
R0: -287326832822314881052116204898695328
R1: 1176988226526859937
A0: -4622620743029325150427704802339920054154125
A1: 1216733553312433727591922798280164920
A2: 223799843657179426555332353978
A3: -6817083489566280287371
A4: -129051142654680
A5: 5075928
 skew 24192023.81, size 5.072e-18, alpha -6.554, combined = 4.768e-14 rroots = 3

After scaling c5-->c5/4:

Code:

Y0: -574653665627561786213064029633838793
Y1: 1176988226526859937
c0: -290924343932780374187838293522873262704067000
c1: 13041372899004200956892719688752786050
c2: 108310929349288301934566014009
c3: -7891378193125399688191
c4: 27484500201750
c5: 1268982
skew: 58308299.27
# size 5.231e-18, alpha -7.282, combined = 4.862e-14 rroots = 3

Max0526 · 2018-06-26, 23:04

One of the two above should be even better after CADO. I will give it a try later today.

Max0526 · 2018-06-27, 01:27

Quote:

Originally Posted by Max0526

One of the two above should be even better after CADO. I will give it a try later today.

After CADO

Code:

Y0: -287326832803986490831936514438948968
Y1: 1176988226526859937
c0: 417815486294265359255917541080057822126155
c1: 184727290940420529069934822028168993
c2: -90761086325180473428511446229
c3: -2546648090309144216971
c4: 266167717724520
c5: 5075928
skew: 16493994.40766
# lognorm 55.75, E 49.39, alpha -6.36 (proj -2.10), 5 real roots
# MurphyE = 5.55534441e-14

Code:

Y0: -574653665626575457132364029211173486
Y1: 1176988226526859937
c0: -3463859009783266150527859386972201166680840
c1: 4586541787096075550655294869261380590
c2: 88595020171690595578726729681
c3: -7790337355223987822971
c4: 32801604575760
c5: 1268982
skew: 41960839.75088
# lognorm 56.43, E 49.30, alpha -7.13 (proj -1.76), 3 real roots
# MurphyE = 5.20483567e-14

Max0526 · 2018-06-27, 02:06

Code:

Y0: -287326832806767854072818441166412471
Y1: 1176988226526859937
c0: -8169881408780776889257592501595547682679280
c1: 1977507295086115334625035487096261881
c2: -128917236322313106805805315375
c3: -9558270825030611288822
c4: 412385216454720
c5: 10151856
skew: 22217261.18
# size 5.896e-18, alpha -7.199, combined = 5.255e-14 rroots = 3

Max0526 · 2018-06-27, 02:25

After msieve:

Code:

Y0: -287326832806045541106151813330515319
Y1: 1176988226526859937
c0: -167078407011425689480881621708390875021652
c1: 473441842977172954026586401517768430
c2: -72779753928760286740069902310
c3: -4253859995754999693691
c4: 221767991776800
c5: 5075928
skew: 16816586.55
# size 6.449e-18, alpha -6.361, combined = 5.559e-14 rroots = 5

Code:

Y0: -574653665624584743971569106334409292
Y1: 1176988226526859937
c0: 4509680278074501193780433233694968761384000
c1: 4820063472507741113664464486903411342
c2: 49690592376540279945718833775
c3: -7532117968360187830411
c4: 43533144243180
c5: 1268982
skew: 42656594.44
# size 5.713e-18, alpha -7.127, combined = 5.205e-14 rroots = 3

Max0526 · 2018-06-27, 03:06

Quote:

Originally Posted by Max0526

Code:

Y0: -287326832806767854072818441166412471
Y1: 1176988226526859937
c0: -8169881408780776889257592501595547682679280
c1: 1977507295086115334625035487096261881
c2: -128917236322313106805805315375
c3: -9558270825030611288822
c4: 412385216454720
c5: 10151856
skew: 22217261.18
# size 5.896e-18, alpha -7.199, combined = 5.255e-14 rroots = 3

CADO pulled it higher:

Code:

Y0: -287326832813287728566182014605586743
Y1: 1176988226526859937
c0: -865964752445816537631964846743050291670210
c1: 2293270893548037775327647434630690295
c2: 88595020171690595578726729681
c3: -15580674710447975645942
c4: 131206418303040
c5: 10151856
skew: 20968860.16210
# lognorm 56.78, E 49.30, alpha -7.47 (proj -2.57), 3 real roots
# MurphyE = 5.56723667e-14

Max0526 · 2018-06-27, 03:34

As high as we can get today:

Code:

Y0: -287326832812291439811109143894134542
Y1: 1176988226526859937
c0: 1129328845815374360632306857295624743180408
c1: 2410110417804782376217052496635548567
c2: 49654800407367646625357862463
c3: -15063684221037588064022
c4: 174172778322480
c5: 10151856
skew: 21035253.66
# size 6.414e-18, alpha -7.473, combined = 5.568e-14 rroots = 3

RichD · 2018-06-27, 04:49

Wow! Someone has been doing some serious brewing. :-)

I will shut down my search tonight and report anything noteworthy in the morning.

VBCurtis · 2018-06-27, 04:51

Given the huge numbers posted in day 1, I'm not going to bother with GPU search for this C184 after all.

Nice finds, folks!

firejuggler · 2018-06-27, 08:49

hmmm .. Max? mine, the 5.071 from earlier, has been found by msieve only... can you.. try to give it a spin ? *hope for a record*

Max0526 · 2018-06-27, 10:46

Quote:

Originally Posted by firejuggler

hmmm .. Max? mine, the 5.071 from earlier, has been found by msieve only... can you.. try to give it a spin ? *hope for a record*

I tried, E = 5.07075798e-14 is the highest I could get so far, sorry.

2018-06-26, 23:04	#1344
Max0526 "Max" Jun 2016 Toronto 1101111101₂ Posts	C184 polys One of the two above should be even better after CADO. I will give it a try later today.

2018-06-27, 04:49	#1350
RichD Sep 2008 Kansas 3389₁₀ Posts	C184 Poly Wow! Someone has been doing some serious brewing. :-) I will shut down my search tonight and report anything noteworthy in the morning.

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2018-06-27, 04:51	#1351
VBCurtis "Curtis" Feb 2005 Riverside, CA 11×443 Posts	Given the huge numbers posted in day 1, I'm not going to bother with GPU search for this C184 after all. Nice finds, folks!

2018-06-27, 08:49	#1352
firejuggler Apr 2010 Over the rainbow 2·1,303 Posts	hmmm .. Max? mine, the 5.071 from earlier, has been found by msieve only... can you.. try to give it a spin ? hope for a record