Polynomial Request Thread - Page 140

Max0526 · 2018-09-26, 21:51

Quote:

Originally Posted by swellman

Only poly I've found so far > 2.3, with no other polys with a 2.2 handle.

Code:

# norm 2.031885e-18 alpha -9.245603 e 2.343e-14 rroots 3
skew: 231458670.75
c0: -183861534715340657749437294190279378294175988080
c1: 8001430643256738635279262430841044077492
c2: -120087800713763853058330072272236
c3: 75634269195650080747035
c4: 2725011987239098
c5: 2588040
Y0: -2441937541121917299931126956629858277
Y1: 244729496992577861

Continuing search.

After spin up (c5 --> 4*c5, Y1 --> 2*Y1):

Code:

Y0: -2441937541122814845361347235935075777
Y1: 489458993985155722
c0: -26853158633118043422225448163314119965034737260
c1: 2221197818284439787390626542861887846873
c2: -60350662938212334798204874929868
c3: 36006449118825013087035
c4: 5355107607478196
c5: 10352160
skew: 120981703.49
# size 1.681e-18, alpha -9.246, combined = 2.362e-14 rroots = 3

swellman · 2018-09-26, 23:36

Thanks for the spin Max! I think we can do much better for a C189. Still plugging away. I’ve completed 2-2.78M with msieve, now proceeding up to 4M.

Anyone willing to run some CADO?

RichD · 2018-09-27, 00:28

Finished 3-4M. Not very good. Continuing with 4-5M.

Code:

N: 657857447165656601784004259210135695409068624588693622916677467487770104472901746866567424698390609356924158281881356137299107130591692710506766053407258669595835073358574337876123
# expecting poly E from 7.87e-14 to > 9.05e-14
R0: -45690479056672301465807986602006904
R1: 3856027764788053783
A0: 793537288794127983193622202212366350861557477
A1: 55006020623518593653133299357797706931
A2: -585963633823296864110960563255
A3: -59888455705509258492871
A4: 453841835815398
A5: 3303720
skew 55411969.29, size 1.094e-17, alpha -8.097, combined = 7.249e-14 rroots = 5

Max0526 · 2018-09-27, 22:00

After 0-560K in CADO I have at least one poly with E = 8.28e-14. Planning to finish 0-1M in CADO.

firejuggler · 2018-09-28, 00:51

Sorry, I have nothing to show for you ugly2dog

RichD · 2018-09-28, 02:22

A little flare.

Code:

R0: -2177001062399544507021614225114575648
R1: 2066469363574577053
A0: -121539124916337398098059223442252641136045475
A1: 20547038408859480237843127595803136736
A2: -3640201941780145328940121651326
A3: 48206326105801739450744
A4: 3976598627578209
A5: 4595688
skew 39790457.56, size 1.645e-18, alpha -7.562, combined = 2.328e-14 rroots = 3

ugly2dog · 2018-09-28, 17:17

Quote:

Originally Posted by firejuggler

Sorry, I have nothing to show for you ugly2dog

Thanks for the help, much appreciated.

Max0526 · 2018-09-28, 22:33

Quote:

Originally Posted by RichD

A little flare.

Code:

R0: -2177001062399544507021614225114575648
R1: 2066469363574577053
A0: -121539124916337398098059223442252641136045475
A1: 20547038408859480237843127595803136736
A2: -3640201941780145328940121651326
A3: 48206326105801739450744
A4: 3976598627578209
A5: 4595688
skew 39790457.56, size 1.645e-18, alpha -7.562, combined = 2.328e-14 rroots = 3

After spin-up:

Code:

Y0: -2177001062399874024159860463596869975
Y1: 4132938727149154106
c0: -7806768002733989728710043706415531495550734
c1: 2713947138048352759571951890467654099
c2: -915664060955029505347225829340
c3: 22835538448552702465150
c4: 3972934508514249
c5: 9191376
skew: 19938621.07
# size 1.777e-18, alpha -7.101, combined = 2.468e-14 rroots = 3

Max0526 · 2018-09-29, 03:12

My best 8-handles from CADO:

Code:

Y0: -72157373115508089452398954781937141
Y1: 57517928626374420593791
c0: -27672883305481944077494722481390530523860
c1: -55938854763287511284783026439617416
c2: 19464350587786113450956912629
c3: -75937623868333292414
c4: 11858282571618
c5: 3026700
skew: 11236852.93
# size 1.260e-17, alpha -6.252, combined = 8.343e-14 rroots = 3

Code:

Y0: -76356343985519018370554441594119374
Y1: 82218415111542575056591
c0: 1874586225398113983910368782924037991632400
c1: -2991742099844358475967752527882065548
c2: 678110251062173774487465682433
c3: -4315829187851651852813
c4: 67224279836808
c5: 1013760
skew: 46514460.13
# size 1.317e-17, alpha -8.255, combined = 8.292e-14 rroots = 3

Max0526 · 2018-09-29, 15:56

Kurt Beschorner's team needs a good poly for the last cofactor of repunit R1980M / 10^990+1 / C187 / http://factordb.com/index.php?id=1100000000105620592

Code:

n: 2627672954179104898972911476269358781573649409920273562959163933342905510751546657384479639647502176825955702336694052887643645043557694346564571446575234212208734259860344956682138751781

My CADO poly from 2015 is listed below as a weak baseline. We can produce stronger C189 polys these days.
I will run updated CADO for 0-1M starting Sunday night and will keep you posted.
It's not urgent (maybe a 6 months window) but please help if you have spare CPU/GPU cycles ever in 2018.

Code:

Y0: -2554966158506953968193020041322707915
Y1: 3769719919200503972033
c0: -68614450855224245992578613304909141359148551104
c1: 980274942057398686355675839192451556458
c2: 38538929129947292076462339564657
c3: 57702425363766022231938
c4: -528123454168429
c5: 193080
skew: 273296017.10
# size 1.701e-18, alpha -7.718, combined = 2.344e-14 rroots = 5

firejuggler · 2018-09-29, 17:14

For once, I'm not going to go for sub million range but the 2M to 4M, Max.

2018-09-26, 23:36	#1531
swellman Jun 2012 2⁴×5×37 Posts	C189 Thanks for the spin Max! I think we can do much better for a C189. Still plugging away. I’ve completed 2-2.78M with msieve, now proceeding up to 4M. Anyone willing to run some CADO? Last fiddled with by swellman on 2018-09-27 at 00:33

2018-09-27, 22:00	#1533
Max0526 "Max" Jun 2016 Toronto 2×3×7×17 Posts	C180 After 0-560K in CADO I have at least one poly with E = 8.28e-14. Planning to finish 0-1M in CADO.

2018-09-29, 15:56	#1539
Max0526 "Max" Jun 2016 Toronto 2×3×7×17 Posts	C187 poly request Kurt Beschorner's team needs a good poly for the last cofactor of repunit R1980M / 10^990+1 / C187 / http://factordb.com/index.php?id=1100000000105620592 Code: n: 2627672954179104898972911476269358781573649409920273562959163933342905510751546657384479639647502176825955702336694052887643645043557694346564571446575234212208734259860344956682138751781 My CADO poly from 2015 is listed below as a weak baseline. We can produce stronger C189 polys these days. I will run updated CADO for 0-1M starting Sunday night and will keep you posted. It's not urgent (maybe a 6 months window) but please help if you have spare CPU/GPU cycles ever in 2018. Code: Y0: -2554966158506953968193020041322707915 Y1: 3769719919200503972033 c0: -68614450855224245992578613304909141359148551104 c1: 980274942057398686355675839192451556458 c2: 38538929129947292076462339564657 c3: 57702425363766022231938 c4: -528123454168429 c5: 193080 skew: 273296017.10 # size 1.701e-18, alpha -7.718, combined = 2.344e-14 rroots = 5

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2018-09-28, 00:51	#1534
firejuggler Apr 2010 Over the rainbow 2529₁₀ Posts	Sorry, I have nothing to show for you ugly2dog

2018-09-29, 17:14	#1540
firejuggler Apr 2010 Over the rainbow 3²·281 Posts	For once, I'm not going to go for sub million range but the 2M to 4M, Max.