Polynomial Request Thread - Page 202

charybdis · 2022-06-09, 17:25

Gonna do some CADO polyselect on 2,2694L c204. P=5M, incr=420, starting at admin=5M, haven't decided how far I'll go.

swellman · 2022-06-09, 18:17

I’ll search 1e4-1e6, same parameters but with incr=210.

charybdis · 2022-06-13, 18:55

Ran up to admax=50M. These aren't quite Gimarel-standard but they're okay:

Code:

n: 577090071913159205243125819618792325643496686739633326605837693143901266730717227684238738802007560969316182854058876472912134267393693448001500880131336068115619176328037303470386467463341202235674056013
skew: 102448623.552
c0: 259496933472762716636395845323984876867077876000
c1: 32034921174291271538541821343073700423090
c2: -205943314204597279051258587122277
c3: -4493873591130419629355477
c4: 20762425148649314
c5: 75545400
Y0: -1725095376718238494417016572085995087599
Y1: 248913130613963368801883
# cownoise: skew 132344909.15584 e 2.94046326e-15

n: 577090071913159205243125819618792325643496686739633326605837693143901266730717227684238738802007560969316182854058876472912134267393693448001500880131336068115619176328037303470386467463341202235674056013
skew: 25688048.651
c0: 4952818439602159950298634948918627325852422232
c1: -45254872379991110287363271324010708218
c2: -48824133026529991840969598046399
c3: -410127247324049788532917
c4: 55328987330277402
c5: 78387120
Y0: -2133191861831218665456135153387479985305
Y1: 3855058718716543109619959
# cownoise: skew 33693072.95212 e 2.88992857e-15

CADO actually scores the second poly slightly higher. Next highest was 2.66e-15.

swellman · 2022-06-13, 20:05

Quote:

Originally Posted by charybdis

Ran up to admax=50M. These aren't quite Gimarel-standard but they're okay:

Code:

n: 577090071913159205243125819618792325643496686739633326605837693143901266730717227684238738802007560969316182854058876472912134267393693448001500880131336068115619176328037303470386467463341202235674056013
skew: 102448623.552
c0: 259496933472762716636395845323984876867077876000
c1: 32034921174291271538541821343073700423090
c2: -205943314204597279051258587122277
c3: -4493873591130419629355477
c4: 20762425148649314
c5: 75545400
Y0: -1725095376718238494417016572085995087599
Y1: 248913130613963368801883
# cownoise: skew 132344909.15584 e 2.94046326e-15

n: 577090071913159205243125819618792325643496686739633326605837693143901266730717227684238738802007560969316182854058876472912134267393693448001500880131336068115619176328037303470386467463341202235674056013
skew: 25688048.651
c0: 4952818439602159950298634948918627325852422232
c1: -45254872379991110287363271324010708218
c2: -48824133026529991840969598046399
c3: -410127247324049788532917
c4: 55328987330277402
c5: 78387120
Y0: -2133191861831218665456135153387479985305
Y1: 3855058718716543109619959
# cownoise: skew 33693072.95212 e 2.88992857e-15

CADO actually scores the second poly slightly higher. Next highest was 2.66e-15.

Some nice finds there! I’m still playing in the mud (ad < 1M) but no score above a 1.9 handle so far and with ridiculously high skews (e.g. 1.75e9).

Your found polys have scores which seem more than sufficient to me, but let us know if you want to keep searching. I’ll keep at it for now - awaiting more results in a day or two.

LaurV · 2022-06-17, 13:18

Need a good poly for aliquot 72708, i1788, c169.

ECM to t57 done.

Thanks in advance.

swellman · 2022-06-18, 14:25

Quote:

Originally Posted by LaurV

Need a good poly for aliquot 72708, i1788, c169.

ECM to t57 done.

Thanks in advance.

I’m now running msieve-GPU and CADO on this composite.

Looking for something with a 4-handle I assume?

swellman · 2022-06-20, 09:45

A new c169 record!

Code:

n: 3076538816413370801308728110492126338069643909625293377059672571969575770774818583263918182117734002872521071268623532170817382226467589824320978677267737644544872334299
skew: 4331378.46
c0: 339868728376424658232615961163007381125
c1: 853692065942027129610198601328605
c2: -188476908355219518022068759
c3: -112798311428147196729
c4: 26674974487406
c5: 1452360
Y0: -430163480459858697918448392674446
Y1: 158165359934887082098631
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=2.631e+15) = 4.145e-08
# skew 4331378.46, size 2.132e-016, alpha -6.891, combined = 4.648e-013 rroots = 3

Poly by CADO, optimal skew by cownoise and score by msieve.

Searching terminated.

richs · 2022-07-31, 19:50

Any help that folks can provide in finding a better poly for the C167 of of Aliquot sequence 829332 i3724 would be greatly appreciated. ECM by myself is complete to t51.4. My cpu search only yielded a mediocre poly with E = 4.395e-13. My intention is to sieve on NFS@Home.

Code:

15761114041231277805030275018397953000142507447976410377415839066345715670293683960876183374309209997923641711956343872823005262179959662860070850705268647929025723077

Thanks very much in advance.

Rich

swellman · 2022-07-31, 23:02

Quote:

Originally Posted by richs

Any help that folks can provide in finding a better poly for the C167 of of Aliquot sequence 829332 i3724 would be greatly appreciated. ECM by myself is complete to t51.4. My cpu search only yielded a mediocre poly with E = 4.395e-13. My intention is to sieve on NFS@Home.

Code:

15761114041231277805030275018397953000142507447976410377415839066345715670293683960876183374309209997923641711956343872823005262179959662860070850705268647929025723077

Thanks very much in advance.

Rich

I’ll help. Searching with CADO now.

swellman · 2022-08-01, 18:43

Early efforts found a poly with a score of 5.28e-13 using msieve-GPU. I should completely finish tomorrow night or Wednesday morning once CADO finishes.

swellman · 2022-08-03, 11:31

Code:

n: 15761114041231277805030275018397953000142507447976410377415839066345715670293683960876183374309209997923641711956343872823005262179959662860070850705268647929025723077
skew: 9673870.573
c0: -8112987031697699796125842597462611228225
c1: 1463796718858491225825035470421096
c2: 675649033754478752357651549
c3: -62538175441717025716
c4: -4566221614320
c5: 27000
Y0: -281209453586226839593397399547354
Y1: 6894852887038168182389
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=4.106e+15) = 1.536e-08
# f(x) = 27000*x^5-4566221614320*x^4-62538175441717025716*x^3+675649033754478752357651549*x^2+1463796718858491225825035470421096*x-8112987031697699796125842597462611228225
# g(x) = 6894852887038168182389*x-281209453586226839593397399547354
# cownoise score: 6.204e-13 at skew of 13443778.24

This ends my search.

2022-06-09, 18:17	#2213
swellman Jun 2012 2×5²×7×11 Posts	2,2694L c204 I’ll search 1e4-1e6, same parameters but with incr=210.

2022-07-31, 19:50	#2219
richs "Rich" Aug 2002 Benicia, California 650₁₆ Posts	C167 Any help that folks can provide in finding a better poly for the C167 of of Aliquot sequence 829332 i3724 would be greatly appreciated. ECM by myself is complete to t51.4. My cpu search only yielded a mediocre poly with E = 4.395e-13. My intention is to sieve on NFS@Home. Code: 15761114041231277805030275018397953000142507447976410377415839066345715670293683960876183374309209997923641711956343872823005262179959662860070850705268647929025723077 Thanks very much in advance. Rich Last fiddled with by richs on 2022-07-31 at 19:51 Reason: Added title

2022-08-01, 18:43	#2221
swellman Jun 2012 2×5²×7×11 Posts	c167 Early efforts found a poly with a score of 5.28e-13 using msieve-GPU. I should completely finish tomorrow night or Wednesday morning once CADO finishes. Last fiddled with by swellman on 2022-08-01 at 18:49

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2022-06-09, 17:25	#2212
charybdis Apr 2020 3A1₁₆ Posts	Gonna do some CADO polyselect on 2,2694L c204. P=5M, incr=420, starting at admin=5M, haven't decided how far I'll go.

2022-06-17, 13:18	#2216
LaurV Romulan Interpreter "name field" Jun 2011 Thailand 3·23·149 Posts	Need a good poly for aliquot 72708, i1788, c169. ECM to t57 done. Thanks in advance.