Polynomial Request Thread - Page 207

EdH · 2022-10-06, 13:24

Quote:

Originally Posted by swellman

. . .Not sure if it will spin?

Still searching…

It didn't improve the score, but the skew is less (but cownoise gave it the larger value):

Code:

Y0: -3160720488954169809647881433776110225
Y1: 206652138316664557
c0: 502377242796846051412861486158312581951013472
c1: -202109221072104758561637579422432635540
c2: 804672126780554744203995454436
c3: 733179562200055375364395
c4: 411226933575522
c5: -15611400
skew: 29761061.935
# lognorm 60.72, E 52.85, alpha -7.86 (proj -2.44), 5 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=1.872e-14

Best poly cownoise values: 54331349.26224      1.89513471e-14

firejuggler · 2022-10-07, 02:13

All I have is

Code:

Y0: -2349538120268076325451367548588041732
Y1: 216999369325580979475103209
c0: -206293291655300238669449774628062216958763830
c1: 82369996118667102223138428044151970345
c2: 10783262440833015945159774434694
c3: -1204927366434583621967761
c4: -35714675681032968
c5: -409368960
skew: 12071245.022
# lognorm 61.08, E 52.43, alpha -8.66 (proj -2.57), 3 real roots
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=1.828e-14

Best poly cownoise values: 17364442.08261      1.84142550e-14

Gimarel · 2022-10-07, 07:37

It took a while but now I have an exceptional poly:

Code:

# norm 1.034751e-19 alpha -7.865818 e 3.781e-15 rroots 5
skew: 114689002.27
c0: -136094338718696528763861227757666209052860504340
c1: 2585516710844056145050697469557179455871
c2: 248902306961428891522709892931234
c3: 1363500587643959285662657
c4: -20640309950741262
c5: 21621600
Y0: -1497348835519820920956356551277843806694
Y1: 90107121175535206837057

swellman · 2022-10-07, 10:24

Quote:

Originally Posted by Gimarel

It took a while but now I have an exceptional poly:

Code:

# norm 1.034751e-19 alpha -7.865818 e 3.781e-15 rroots 5
skew: 114689002.27
c0: -136094338718696528763861227757666209052860504340
c1: 2585516710844056145050697469557179455871
c2: 248902306961428891522709892931234
c3: 1363500587643959285662657
c4: -20640309950741262
c5: 21621600
Y0: -1497348835519820920956356551277843806694
Y1: 90107121175535206837057

A great find! Beats your previous record for a c203.

Thanks to all who searched.

EdH · 2022-10-07, 12:14

Nice Gimarel! And, in all my efforts I haven't as yet found (or spun) a 2-handle! (I know, I haven't modified Mseive. . .

)

swellman · 2022-10-07, 15:01

Meanwhile in the C190 poly search requested by @unconnected in post 2253 above: I found nothing better. Can’t seem to break the 2 barrier!

Afraid my search for a quality polynomial is in vain.

unconnected · 2022-10-09, 18:00

Thank you guys for your work, I'll test-sieve top polys and send the best one to the 15e queue.

wombatman · 2022-10-10, 19:55

If anyone is willing, I have a C208 that has blocked progression of Home Primes Base 2 (4496) for at least 3 years now. I previously did some poly searching for degree 5 and 6 (and even some test sieving, as I recall), but this number would likely benefit from the collective skills here. I will try and dig up that previous work in the mean time, but I would appreciate any attempts to find good polys for:

Code:

8095101662371927421703337019465587498085337648622133688278589711654019359923503887978141510461468343349838217540569173400647791769725685803537804186347867144149599002247585690859122186539724272741806859085719

firejuggler · 2022-10-10, 20:22

I will try something with cado-nfs

swellman · 2022-10-10, 20:35

I’m willing to help. I believe a deg 5 still works best on a C208 but others will likely have deeper insights. We could search for both a deg 5 and 6, with subsequent test sieving deciding the issue.

From the GNFS record table, escore > 1.3e-15 looks great for deg 5, and > 1.6e-15 for deg 6.

Regardless, starting deg 5 search with a5 < 1M using msieve-GPU.

wombatman · 2022-10-10, 20:37

Quote:

Originally Posted by firejuggler

I will try something with cado-nfs

Quote:

Originally Posted by swellman

I’m willing to help. I believe a deg 5 still works best on a C208 but others will likely have deeper insights. We could search for both a deg 5 and 6, with subsequent test sieving deciding the issue.

From the GNFS record table, escore > 1.3e-15 looks great for deg 5, and > 1.6e-15 for deg 6.

Regardless, starting deg 5 search with a5 < 1M using msieve-GPU.

Thanks to the both of you!

2022-10-07, 12:14	#2271
EdH "Ed Hall" Dec 2009 Adirondack Mtns 2·3²·7·43 Posts	Nice Gimarel! And, in all my efforts I haven't as yet found (or spun) a 2-handle! (I know, I haven't modified Mseive. . .)

2022-10-10, 19:55	#2274
wombatman I moo ablest echo power! May 2013 5×7×53 Posts	If anyone is willing, I have a C208 that has blocked progression of Home Primes Base 2 (4496) for at least 3 years now. I previously did some poly searching for degree 5 and 6 (and even some test sieving, as I recall), but this number would likely benefit from the collective skills here. I will try and dig up that previous work in the mean time, but I would appreciate any attempts to find good polys for: Code: 8095101662371927421703337019465587498085337648622133688278589711654019359923503887978141510461468343349838217540569173400647791769725685803537804186347867144149599002247585690859122186539724272741806859085719

2022-10-10, 20:35	#2276
swellman Jun 2012 3,911 Posts	C208 I’m willing to help. I believe a deg 5 still works best on a C208 but others will likely have deeper insights. We could search for both a deg 5 and 6, with subsequent test sieving deciding the issue. From the GNFS record table, escore > 1.3e-15 looks great for deg 5, and > 1.6e-15 for deg 6. Regardless, starting deg 5 search with a5 < 1M using msieve-GPU.

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
GIMPS wiki account request thread	ixfd64	mersennewiki	169	2018-09-21 05:43
Polynomial Discriminant is n^k for an n-1 degree polynomial	carpetpool	Miscellaneous Math	14	2017-02-18 19:46
Lost Prime Raider password request thread	cheesehead	Forum Feedback	6	2009-07-28 13:02
Polynomial	R.D. Silverman	NFSNET Discussion	13	2005-09-16 20:07
Deutscher Thread (german thread)	TauCeti	NFSNET Discussion	0	2003-12-11 22:12

2022-10-07, 15:01	#2272
swellman Jun 2012 3,911 Posts	Meanwhile in the C190 poly search requested by @unconnected in post 2253 above: I found nothing better. Can’t seem to break the 2 barrier! Afraid my search for a quality polynomial is in vain.

2022-10-09, 18:00	#2273
unconnected May 2009 Moscow, Russia 101101101110₂ Posts	Thank you guys for your work, I'll test-sieve top polys and send the best one to the 15e queue.

2022-10-10, 20:22	#2275
firejuggler "Vincent" Apr 2010 Over the rainbow 2²×7×103 Posts	I will try something with cado-nfs