Polynomial Request Thread - Page 141

RichD · 2018-09-29, 17:40

Nothing better than posted. Continuing 5-6M.

Max0526 · 2018-09-29, 22:25

An early CADO flare:

Code:

Y0: -3763556216636348615590373012078224013
Y1: 1062930433327712560367
c0: -12419044833923290405580113591211090869527870000
c1: 646690051788691672433844598162865674500
c2: -1649331220484339088211733364717
c3: -68484969534113440038320
c4: 5853700841758
c5: 24360
skew: 355721008.32
# size 2.229e-18, alpha -7.406, combined = 2.776e-14 rroots = 5

Max0526 · 2018-09-30, 06:06

Even better now:

Code:

Y0: -3763556072965300259537138421306969562
Y1: 1062930433327712560367
c0: -2128982719504282312374382047767275336141637938935
c1: 22627167972474350109325934595219675294752
c2: -28176445504608133300452955254375
c3: -60869633893836733033224
c4: 22316804297158
c5: 24360
skew: 925576231.17
# size 2.415e-18, alpha -8.373, combined = 2.972e-14 rroots = 5

Max0526 · 2018-09-30, 17:01

Code:

Y0: -3604293269113514853267803546981694120
Y1: 69549923219734768839487
c0: -2857435318659383169945658208061768840425208987154
c1: 24927360928940982259662223277304390757947
c2: 16756702408105874841726956360952
c3: -60089390408962005054429
c4: -13442548994756
c5: 8640
skew: 1241431128.86
# size 2.531e-18, alpha -8.316, combined = 3.067e-14 rroots = 5

Max0526 · 2018-09-30, 17:18

A different c5 and a lower skew:

Code:

# norm 2.810634e-18 alpha -8.094373 e 2.863e-14 rroots 5
skew: 1072459312.40
c0: -110024263545660317158967079542247409678594899200
c1: 4512697907146105869998877332266684214850
c2: 5791865966444354588080518462303
c3: -63619873291256080697757
c4: -5109884862178
c5: 2160
Y0: -7208576161187640332793144036807435912
Y1: 69549923219734768839487

ugly2dog · 2018-10-01, 17:19

Quote:

Originally Posted by Max0526

My best 8-handles from CADO:

Thanks for the help.

Max0526 · 2018-10-02, 02:38

A very lucky shot -- almost as good as the top C186 poly! (https://pastebin.com/jELNvhQd)

Code:

Y0: -3550450738521741377093709791726131442
Y1: 55587777150184721139533
c0: 21039237068968151368087517282777260575449796480
c1: 971492004539393241103864128738587634027
c2: -227026977470741575773229139683
c3: -10733857600375814836834
c4: 1357617082695
c5: 9315
skew: 543755804.17836
# size 3.216e-18, alpha -7.300, combined = 3.622e-14 rroots = 5

kurtb · 2018-10-02, 11:15

thank you Max for poly-file

Kurt

RichD · 2018-10-02, 14:25

I completed the range 3-5M with nothing close to 8.0. Nice work Max!

Max0526 · 2018-10-03, 02:00

Three more polys above 3.5:

Code:

 # norm 3.833521e-18 alpha -7.222588 e 3.580e-14 rroots 5
skew: 529754650.87
c0: -34252341953306313109077235088194800028580948214
c1: 906163749723582590589721251721926735831
c2: -1455083839516592231863422594199
c3: -10384409854092265775794
c4: 3159254427045
c5: 9315
Y0: -3550448588247662940627534681183138008
Y1: 55587777150184721139533

Code:

# norm 3.844582e-18 alpha -7.199918 e 3.578e-14 rroots 5
skew: 520177262.68
c0: -43548547598136967179764145883049379999012773304
c1: 873304210858292166640955129421832689186
c2: -1770331789342619709037027538209
c3: -10246030919008829407144
c4: 3633646651170
c5: 9315
Y0: -3550448022055301449677797354807092193
Y1: 55587777150184721139533

Code:

# norm 3.815055e-18 alpha -7.187092 e 3.561e-14 rroots 5
skew: 530440788.69
c0: 62788788725794845157736079111719814388084063056
c1: 947667532493120903017120307955808413846
c2: 907895500677689079353835543311
c3: -10809751644011684486944
c4: -275211922080
c5: 9315
Y0: -3550452687321201211567224030578998823
Y1: 55587777150184721139533

RichD · 2018-10-03, 02:18

Not sure if this can spin up to something meaningful.

Code:

R0: -2108509441340875581113392339849488587
R1: 2498876757710950829
A0: -2317203670710536516828877700839680395014237360
A1: 335001981161234730320273549193641977008
A2: -2897120122644443222057524052257
A3: -111432193090142779368973
A4: 260430610287777
A5: 5392200
skew 84784851.80, size 1.458e-18, alpha -6.845, combined = 2.168e-14 rroots = 5

2018-09-29, 17:40	#1541
RichD Sep 2008 Kansas 3277₁₀ Posts	C189 Poly Nothing better than posted. Continuing 5-6M.

2018-10-02, 11:15	#1548
kurtb "Beschorner Kurt" Jul 2016 Germany 2²×5 Posts	10^990+1 - c187 thank you Max for poly-file Kurt

2018-10-02, 14:25	#1549
RichD Sep 2008 Kansas 29×113 Posts	C180 Poly I completed the range 3-5M with nothing close to 8.0. Nice work Max!

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