Polynomial Request Thread

[VBCurtis]

Yep, good enough. Someone did a C173 from 4788 with a poly score of 2.43e-13, yours beats that.

[swellman]

Can someone find a poly for C177_148_94 of the xyyx project? Best so far was found by VBCurtis.

Thanks in advance.

N 509324937687618809222445320276337252810119679947032399409215533120195327608346172383916906170272967333837017570484086026229163006167878198943819573285050609840596958297287281873
SKEW 44744195.26
R0 -15372279160491459270723477022022637
R1 42075573946251179
A0 -28036751366398061170413492158368626575647616
A1 2446095126548667802453043510317136360
A2 132445682988042341783594025606
A3 -4958312126359633450937
A4 102677914180448
A5 593340
skew 44744195.26, size 2.117e-17, alpha -7.554, combined = 1.104e-13 rroots = 3

[VBCurtis]

Originally Posted by swellman

Can someone find a poly for C177_148_94 of the xyyx project? Best so far was found by VBCurtis.

Another half-day on GPU produced this 1.12, a small improvement (or a second candidate for trial-sieving since the scores are within 2%):

SKEW 49921346.24
R0 -14992764352359140257094865612114264
R1 55195034380328651
A0 -20539442222413285313562143412081796026481781
A1 10330232804400730687368334101578959343
A2 22820727631109666980506234419
A3 -12517092967137542804723
A4 -243781283037714
A5 672336
skew 49921346.24, size 2.195e-17, alpha -8.243, combined = 1.126e-13 rroots = 3

I'll keep searching until someone tells me this number is queued, or until I find a 1.20+ score.

[XYYXF]

Anoter GNFS target needs a poly:

C159_146_84 = 950328290413671355832575602599798508308681747290035671816486761667336370634798034484024815445558221476314426844254931711417077583915795975994604956673854491657

[VBCurtis]

Originally Posted by VBCurtis

I'll keep searching until someone tells me this number is queued, or until I find a 1.20+ score.

 skew 71252883.60, size 2.643e-17, alpha -8.851, combined = 1.274e-13 rroots = 3
N 509324937687618809222445320276337252810119679947032399409215533120195327608346172383916906170272967333837017570484086026229163006167878198943819573285050609840596958297287281873
SKEW 71252883.60
R0 -13520927939819477805165164371260495
R1 52748158574112023
A0 85980894773852539090296764550710941873505536
A1 32682022775859002550717058455889875320
A2 951479829032390179857964911490
A3 -15507544129561141110575
A4 -77105622000296
A5 1127100

# norm 3.097406e-17 alpha -8.496244 e 1.242e-13 rroots 5
skew: 73900934.67
c0: -61804543371247900527239543721156830049672864
c1: 39488823867113461805493536448893183180
c2: -709041937669312496906321869760
c3: -13116236595107564450575
c4: 112620529874704
c5: 1127100
Y0: -13520927938043645111569465476936745
Y1: 52748158574112023

This concludes my search.

[fivemack]

Many thanks VBCurtis; your polynomial has been used and the number is queued up.

[swellman]

Originally Posted by XYYXF

Anoter GNFS target needs a poly:

C159_146_84 = 950328290413671355832575602599798508308681747290035671816486761667336370634798034484024815445558221476314426844254931711417077583915795975994604956673854491657

Can anyone help with a poly? I'll run GNFS but need help with the poly. Many thanks.

[RichD]

Originally Posted by swellman

Can anyone help with a poly? I'll run GNFS but need help with the poly. Many thanks.

I won't be back in town for another eight days but can start on it then.
Anybody else want to try before I get back?
I'm sure additional numbers will pop up soon...

[VBCurtis]

Sure, I'll get on it tonight or tomorrow.

[VBCurtis]

Originally Posted by swellman

Can anyone help with a poly? I'll run GNFS but need help with the poly. Many thanks.

A day's search produced this, above the midpoint of the "expected poly" score range:

 N 950328290413671355832575602599798508308681747290035671816486761667336370634798034484024815445558221476314426844254931711417077583915795975994604956673854491657
SKEW 2419948.99
R0 -5005864024199816124091600719896
R1 14261810320257901
A0 267108673982868293657589078412885245
A1 3751976524416256984363581579048
A2 -75097304633030744310500956
A3 60277936748374519495
A4 10785823052742
A5 302328
#skew 2419948.99, size 1.855e-15, alpha -6.937, combined = 1.574e-12 rroots = 5

[VBCurtis]

Originally Posted by VBCurtis

you're welcome, Rich.

As for the C195 of current interest, I've run 7 days on the GPU with no poly better than 8.7e-15 yet, about 15% worse than the one posted on this thread. I've run A1 from 500k to 900k, testing various stage1 norms for a day each. I'll report my findings in detail when I stop the run after another week or so, somewhere around A1 = 3M.

14+ GPU-days of search covered A1 values from 500k to 1.7M or so. Here was the best poly I found:

N 105720747827131650775565137946594727648048676926428801477497713261333062158444658783837181718187127016255169032147325982158719006483898971407998273736975091062494070213867530300194317862973608499
SKEW 205209044.09
R0 -37095662305539635427622215416455177712
R1 9762700048268674463
A0 115455920609393596574220742274571387925245487645
A1 4900179471419957794578573997319671628197
A2 48747893310274924349402641677639
A3 6528817460059331803495
A4 -1680883702625396
A5 1505028
 skew 205209044.09, size 3.934e-19, alpha -7.075, combined = 9.571e-15 rroots = 3

The previous best posted is 10% better than this by score. My search included 524 size-optimized hits of score 1.5e26 or better, and 720 more between 1.5 and 2e26.