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Old 2021-09-03, 01:29   #45
unconnected
 
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QUEUED AS C157_79_87

C157 from aliquot sequence 79^87 for 14e queue:
Code:
n: 4951817282321300125121563283973266890130432071999797605619959055323522627836598971946187541604723115152173600067798128300469087299960489125577620433072170779
# norm 3.275088e-15 alpha -8.292521 e 2.016e-12 rroots 5
skew: 49957707.18
c0: -208235189039389218619688718428466586619079
c1: 37781536379467125545223981130069230
c2: 489180382520633806645059772
c3: -38418454921101676246
c4: -239285831493
c5: 5016
Y0: -3970832215081885247847712953140
Y1: 114941225847724939
rlim: 33500000
alim: 33500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
type: gnfs
lss: 0
Suggesting sieve range is 10M-50M, I'll take the LA.

Last fiddled with by swellman on 2021-09-03 at 01:51
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Old 2021-09-04, 12:24   #46
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QUEUED AS 417__011_3m1

C153 from the OPN file t800.
417170460427416024594567400793767674921146783636256059892715875174336683894076800036991320011^3-1
Code:
n: 931716212649329827085826874632296805522376190752443111047033777427443503981234835282738781393247938253896381553901865467679801153870597073922973731405293
lss: 0
Y0: -607288295848199450676009139407
Y1: 204889130532497
c0: 17500403064728538394138027311449717866616
c1: 5584264633247370913975802344435818
c2: 292017629100948579858061139
c3: -25997407300505227152
c4: -203479838212
c5: 11280
skew: 23852827.67
# size 6.655e-15, alpha -8.500, combined = 3.359e-12 rroots = 5
# expecting poly E from 2.92e-12 to > 3.35e-12
type: gnfs
rlim: 33500000
alim: 33500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 84
rlambda: 2.5
alambda: 3.4
Trial sieving 5K blocks.
Code:
  Q  Yield
  8M 13743
 10M 13780
 20M 15438
 30M 13296

Last fiddled with by swellman on 2021-09-04 at 14:12
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Old 2021-09-05, 01:18   #47
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This number is yielding below expectations. I've double checked the poly and my sieve results. Everything looks fine.

The one anomaly is the yield at 20M. Usually the curve is fairly flat for GNFS numbers in this range. Based on the surrounding yield numbers it should be about 13,4xx. This could explain the lower than expected.

Maybe keep an eye on the ongoing results because the Q range may need to be increased by 5M or 6M.
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Old 2021-09-05, 02:30   #48
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Quote:
Originally Posted by RichD View Post
The one anomaly is the yield at 20M. Usually the curve is fairly flat for GNFS numbers in this range. Based on the surrounding yield numbers it should be about 13,4xx. This could explain the lower than expected.
I'm not sure it's just 20M that's an anomaly here. By complete coincidence, all four of the ranges that you picked contain more special-q than we would expect for a 5k range at those sizes; in total there are around 7% more than expected. I've explained before how to correct for this (the log is natural log):

Quote:
Originally Posted by charybdis View Post
Calculate the yield per special-q using the number of special-q that the siever gives on the line
Code:
xxx Special q, yyy reduction iterations
Multiply this by C/log(Q) to get an estimate of yield in a range of length C around value Q.
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Old 2021-09-05, 09:44   #49
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Could a couple percent be attributed to the poly being at the high end of the E-score range?
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Old 2021-09-05, 10:00   #50
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Quote:
Originally Posted by charybdis View Post
Calculate the yield per special-q using the number of special-q that the siever gives on the line
Code:
xxx Special q, yyy reduction iterations
Multiply this by C/log(Q) to get an estimate of yield in a range of length C around value Q.
I don't quite follow this. Here is the output from the siever for the 20M range of 5K block.
Code:
total yield: 15438, q=20005003 (0.24873 sec/rel) 
323 Special q, 477 reduction iterations
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Old 2021-09-05, 11:21   #51
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Yield per special-q = 15438/323 = 47.796
Expected number of special-q in 5k range at 20M = 5000/ln(20000000) = 297.42
Corrected yield estimate = 47.796*297.42 = 14215
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Old 2021-09-05, 12:41   #52
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I went through the exercise to compute estimated from actual.
Code:
 Q   actual  estimated
===  ======  =========
 8M   13743    12423
10M   13780    13072
20M   15438    14215
30M   13296    13001
total  63M      59M
Even if I threw out the number for 20M it still doesn't explain the large difference from 46M which seems to be occurring.

Edit: I guess I must have randomly hit a few hot spots to skew the numbers.

Last fiddled with by RichD on 2021-09-05 at 12:44
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Old 2021-09-05, 13:15   #53
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Normally a hot spot is just a range with more special-q than expected. The variation in rels/q smooths out pretty well over a 5k range. I tried some more ranges and got the following:
Code:
Q    Actual Estimated
13M  13427  13800
16M  12182  13856
23M  14168  13977
26M  13255  13525
These are very much in agreement with your figures (and note how much smoother the corrected values are). I think something must have gone wrong at the NFS@home end.
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Old 2021-09-09, 22:30   #54
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QUEUED AS C162_159978_10752

C162 from 159978:i10752 for 14e queue:
Code:
n: 307971724803606446462872819609832224962609961269161295963764484634572235683426075635658509577753868636513892744089422683812968625603917337113577082298516439966433
# norm 1.157002e-15 alpha -7.090889 e 1.110e-12 rroots 3
skew: 11451205.90
c0: -3944555032855439079562882441928924509762
c1: -202025289949929521507548847820369
c2: 191219311077986300620049528
c3: -14361015183390153921
c4: 951667925579
c5: 68820
Y0: -21387460552177921418441173809027
Y1: 247235112212624731
rlim: 67000000
alim: 67000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6
type: gnfs
lss: 0
Suggesting sieve range is 10M-90M, I'll take the LA.

Last fiddled with by swellman on 2021-09-10 at 02:15
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Old 2021-09-11, 14:25   #55
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Quote:
Originally Posted by RichD View Post
QUEUED AS 417__011_3m1

C153 from the OPN file t800.
417170460427416024594567400793767674921146783636256059892715875174336683894076800036991320011^3-1
Code:
n: 931716212649329827085826874632296805522376190752443111047033777427443503981234835282738781393247938253896381553901865467679801153870597073922973731405293
lss: 0
Y0: -607288295848199450676009139407
Y1: 204889130532497
c0: 17500403064728538394138027311449717866616
c1: 5584264633247370913975802344435818
c2: 292017629100948579858061139
c3: -25997407300505227152
c4: -203479838212
c5: 11280
skew: 23852827.67
# size 6.655e-15, alpha -8.500, combined = 3.359e-12 rroots = 5
# expecting poly E from 2.92e-12 to > 3.35e-12
type: gnfs
rlim: 33500000
alim: 33500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 84
rlambda: 2.5
alambda: 3.4
Trial sieving 5K blocks.
Code:
  Q  Yield
  8M 13743
 10M 13780
 20M 15438
 30M 13296
Resubmitting job as 417__011_3m1a.
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