Polynomial Request Thread - Page 103

swellman · 2018-04-02, 23:52

Yes but that’s far greater than the current record of 7.240e-15. I’ll be happy to produce anything with a 7-handle!

If we use a baseline of 1 GPU-day search time for a GNFS 155 and doubling every 5 dd, a C197 should be poly searched for what, ~11 months? Ouch. Of course this C197 is slow going.

Any ideas on the range of c5 we should search? And I presume sextics are off the menu.

RichD · 2018-04-02, 23:54

A touch better through 4.5M.

Code:

N: 20901242090929750331460152543809850619619290452256403363055163961224444523016833873892080737966534318102450035876136293050152061659131510274015648390725105024055454805289274799895497557473573901631
R0: -86278060784013961407328699450109490283
R1: 3684628767634750549
A0: -1611176674711007493292793413281789564681810751296
A1: 40737872481213346388934440516452316093112
A2: -75396300989157160259495538238422
A3: -1346785057871752434385229
A4: 146285635366576
A5: 4371900
skew 292819976.04, size 2.344e-19, alpha -7.441, combined = 6.974e-15 rroots = 5

Max0526 · 2018-04-03, 00:52

spin-off of RichD's first poly:

Code:

Y0: -173651342744690709594119958364190164986
Y1: 2045148860419396619
c0: 7738785730878854018577939941805194492878799733922
c1: 258882196686632171927731758562197682929181
c2: -1310560734813685822345477058541091
c3: -763009816552733606203459
c4: 1847142721591977
c5: 529470
skew: 812131761.44
# size 2.525e-019, alpha -8.796, combined = 7.343e-015 rroots = 5

VBCurtis · 2018-04-03, 01:17

I am generally happy with any new record, and naturally that took all of one posted poly from about 15 GPU-days (among us) and some Max-magic.

I'll give this another GPU-week, or until we get a 7.6 or higher. Max, please stake out your preferred CADO search region so that I might fire up CADO myself without duplicating your work.

Max0526 · 2018-04-03, 01:25

@VBCurtis
I'll run a maximum range 0-0.5M with the standard CADO parameters.

Max0526 · 2018-04-03, 01:53

Quote:

Originally Posted by RichD

A touch better through 4.5M.

Code:

N: 20901242090929750331460152543809850619619290452256403363055163961224444523016833873892080737966534318102450035876136293050152061659131510274015648390725105024055454805289274799895497557473573901631
R0: -86278060784013961407328699450109490283
R1: 3684628767634750549
A0: -1611176674711007493292793413281789564681810751296
A1: 40737872481213346388934440516452316093112
A2: -75396300989157160259495538238422
A3: -1346785057871752434385229
A4: 146285635366576
A5: 4371900
skew 292819976.04, size 2.344e-19, alpha -7.441, combined = 6.974e-15 rroots = 5

Spin-off of the above RichD's poly:

Code:

# norm 3.005768e-019 alpha -7.614215 e 7.300e-015 rroots 5
skew: 146539916.30
c0: -201502171692849300118344371410282013059949283200
c1: 10185245629194905051307012008077104634630
c2: -37656461923204515229517611275657
c3: -1346797114255742612410573
c4: 291669085449152
c5: 17487600
Y0: -86278060784014037443327948360821819447
Y1: 7369257535269501098

Max0526 · 2018-04-03, 10:57

Quote:

Originally Posted by VBCurtis

I am generally happy with any new record, and naturally that took all of one posted poly from about 15 GPU-days (among us) and some Max-magic.

I'll give this another GPU-week, or until we get a 7.6 or higher. Max, please stake out your preferred CADO search region so that I might fire up CADO myself without duplicating your work.

As requested by VBCurtis:

Code:

Y0: -173651342744794567020494048962116503875
Y1: 2045148860419396619
c0: 149304981247928709923426862728216920948615768488576
c1: 385135802793164517467013161495828662794248
c2: -1166430906111184180435254184169422
c3: -1124564457548977730610307
c4: 1712704117619127
c5: 529470
skew: 923315965.26
# size 2.788e-019, alpha -9.110, combined = 7.809e-015 rroots = 5

Max0526 · 2018-04-03, 23:44

Now we have at least two polys to compare.

Code:

Y0: -173651342744794569102455588869062262017
Y1: 4090297720838793238
c0: 18663073647309083415749465903919433974002694067100
c1: 96284544410748278299958225748685479151495
c2: -583213735840340666575565441183678
c3: -1124571431674657651012651
c4: 3425402845233654
c5: 2117880
skew: 461559665.36
# size 2.792e-019, alpha -9.110, combined = 7.867e-015 rroots = 5

VBCurtis · 2018-04-04, 00:03

Since Sean isn't so fast on the small coefficients, I'll stop my run at 6M in favor of 0.5-1M. That is, I'm running 5-6M (almost done) and 500k-1M.
I'll also start CADO at admin=500k with nq=15625.

swellman · 2018-04-04, 00:19

Quote:

Originally Posted by VBCurtis

Since Sean isn't so fast on the small coefficients, I'll stop my run at 6M in favor of 0.5-1M. That is, I'm running 5-6M (almost done) and 500k-1M.
I'll also start CADO at admin=500k with nq=15625.

Thank you! “Sean isn’t so fast” = molasses in winter

Slow going...

Hoping to redeem myself with an 8-handle. Lucky > good

RichD · 2018-04-04, 23:11

One more to try. This may not "spin-up" to an acceptable value.
I should be done with my range by the end of the week..

Code:

R0: -85201023096095502462195246075989797733
R1: 15072793197528296573
A0: 164515308847335041245918218232138873461226320000
A1: 24893089190908560312936283088389362735880
A2: 106473286264769714352581049587106
A3: -10046975453646539492044043
A4: -1220109891798340
A5: 4655304
skew 234764745.72, size 2.183e-19, alpha -8.347, combined = 6.408e-15 rroots = 5

2018-04-03, 01:25	#1127
Max0526 "Max" Jun 2016 Toronto 19·47 Posts	C197 @VBCurtis I'll run a maximum range 0-0.5M with the standard CADO parameters.

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2018-04-02, 23:52	#1123
swellman Jun 2012 110000010100₂ Posts	Yes but that’s far greater than the current record of 7.240e-15. I’ll be happy to produce anything with a 7-handle! If we use a baseline of 1 GPU-day search time for a GNFS 155 and doubling every 5 dd, a C197 should be poly searched for what, ~11 months? Ouch. Of course this C197 is slow going. Any ideas on the range of c5 we should search? And I presume sextics are off the menu.

2018-04-03, 01:17	#1126
VBCurtis "Curtis" Feb 2005 Riverside, CA 2·2,437 Posts	I am generally happy with any new record, and naturally that took all of one posted poly from about 15 GPU-days (among us) and some Max-magic. I'll give this another GPU-week, or until we get a 7.6 or higher. Max, please stake out your preferred CADO search region so that I might fire up CADO myself without duplicating your work.

2018-04-04, 00:03	#1131
VBCurtis "Curtis" Feb 2005 Riverside, CA 130A₁₆ Posts	Since Sean isn't so fast on the small coefficients, I'll stop my run at 6M in favor of 0.5-1M. That is, I'm running 5-6M (almost done) and 500k-1M. I'll also start CADO at admin=500k with nq=15625.