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Old 2021-11-13, 22:13   #2058
richs
 
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"Rich"
Aug 2002
Benicia, California

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Default C173

Any help that folks can provide in finding a poly for the C173 of of Aliquot sequence 434040 i3116 would be greatly appreciated. The composite has been ecm'ed to t53. My intention is to sieve on NFS@Home.

Code:
12050776075231502882593817068581935601907280737083782443835243959335820952907283930452767542745654050294346215107560812052214734803541991962255830406798550871348635810889991
The best poly that I found with 1800 cpu thread-hours search was a 2.234e-013 (record is 2.669e-13).

Many thanks in advance!

Rich
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Old 2021-11-13, 23:53   #2059
swellman
 
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Jun 2012

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Quote:
Originally Posted by richs View Post
Any help that folks can provide in finding a poly for the C173 of of Aliquot sequence 434040 i3116 would be greatly appreciated. The composite has been ecm'ed to t53. My intention is to sieve on NFS@Home.

Code:
12050776075231502882593817068581935601907280737083782443835243959335820952907283930452767542745654050294346215107560812052214734803541991962255830406798550871348635810889991
The best poly that I found with 1800 cpu thread-hours search was a 2.234e-013 (record is 2.669e-13).

Many thanks in advance!

Rich
I’m running some msieve-GPU now.
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Old 2021-11-16, 12:36   #2060
swellman
 
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Jun 2012

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Code:
# norm 8.943979e-17 alpha -6.891324 e 2.345e-13 rroots 3
skew: 8120075.81
c0: 2395994951805487442022358600584502973668
c1: 6978913699393034060255568271921428
c2: 5377269000346919551326442349
c3: -2334580030712305304514
c4: -84641436795828
c5: 1591920
Y0: -1499059101362196808408532088396405
Y1: 3883644718967177
Now searching 4-10M, should have results by the weekend.
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Old 2021-11-21, 11:52   #2061
swellman
 
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Quote:
Originally Posted by swellman View Post

Now searching 4-10M, should have results by the weekend.
Nothing better found. Stopping search.

Perhaps the top poly can be spun up a bit more?

ETA: meant to say end of search via msieve-GPU. CADO may be able to find much better.

Last fiddled with by swellman on 2021-11-21 at 11:56
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Old 2021-11-21, 15:06   #2062
richs
 
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Aug 2002
Benicia, California

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Quote:
Originally Posted by swellman View Post
Nothing better found. Stopping search.

Perhaps the top poly can be spun up a bit more?

ETA: meant to say end of search via msieve-GPU. CADO may be able to find much better.
Thanks for your efforts, Sean. I'll wait to see if Max can spin it up, and if you find anything better with CADO.
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Old 2021-11-21, 17:41   #2063
swellman
 
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Quote:
Originally Posted by richs View Post
I'll wait to see if Max can spin it up, and if you find anything better with CADO.
Running CADO now. Will take a few days to get results.
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Old 2021-11-21, 19:20   #2064
Gimarel
 
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Here's a reasonably good poly
Code:
# norm 1.374296e-16 alpha -7.731811 e 3.187e-13 rroots 3
skew: 16153366.22
c0: 15345155390883208777550444433706102143744
c1: -1027991494173220824074402840627824
c2: 2326408125025888247170706661
c3: -162918487541952775091
c4: -17054394020490
c5: 75600
Y0: -3945819765830405543714409705318041
Y1: 1681345343107820263583
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Old 2021-11-21, 19:39   #2065
swellman
 
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Quote:
Originally Posted by Gimarel View Post
Here's a reasonably good poly
Code:
# norm 1.374296e-16 alpha -7.731811 e 3.187e-13 rroots 3
skew: 16153366.22
c0: 15345155390883208777550444433706102143744
c1: -1027991494173220824074402840627824
c2: 2326408125025888247170706661
c3: -162918487541952775091
c4: -17054394020490
c5: 75600
Y0: -3945819765830405543714409705318041
Y1: 1681345343107820263583
A new record for c173 - by a mile!

I’ll let my current CADO run finish up but then I’m done searching.
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Old 2021-11-26, 23:33   #2066
swellman
 
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My CADO search finally finished - didn’t even break 3e-13! My poly search is now terminated.

I updated the record e-score for c173 to reflect Gimarel’s result. Note that efforts by EdH and Max0526 to spin Gimarel’s poly a bit higher found nothing substantively better.

Ready for GNFS.

Last fiddled with by swellman on 2021-11-27 at 01:01
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