C188 from OPN t550 file.
Sieve on the algebraic side.
[CODE]n: 11898866265155418122871677489588714888703045467895047058715246366141905148921201626919907143879172017874828243883162877376009897125290098459597687121800806560670751039236533392115845524673
# 1942157131^23-1, difficulty: 222.92, skewness: 35.32, alpha: 0.00
# cost: 9.77718e+17, est. time: 465.58 GHz days (not accurate yet!)
lss: 0
skew: 35.322
c6: 1
c0: -1942157131
Y1: -1
Y0: 14227790282011262021212858731917647921
m: 14227790282011262021212858731917647921
type: snfs
rlim: 66000000
alim: 66000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 11321
50M 6499
80M 5832
110M 6796[/CODE]

[b]Queued: [/b]

C188_1942157131_23
C223_139_53
C179_3927085741_23
C223_134_130
C222_146_62
C168_11040_10047
13_2_809m

Could someone please do the trial sieving and decide which polynomial we want to use for C173_129_85 ?

[QUOTE=fivemack;466125][b]Queued: [/b]

C188_1942157131_23
C223_139_53
C179_3927085741_23
C223_134_130
C222_146_62
C168_11040_10047
13_2_809m

Could someone please do the trial sieving and decide which polynomial we want to use for C173_129_85 ?[/QUOTE]

Yes, of course. My suggestion, my responsibility to test sieve it.

[b]QUEUED[/b] C190 from the OPN t550 file.
Sieve on the algebraic side.
[CODE]n: 1325324320557455001788448610477140077418405659119617768498841818222068356580398973924102880049921589071941214074318867551198468474818336266697692700377681173952307422757757209614714956777867
# 3372531985651^17-1, difficulty: 225.50, skewness: 122.46, alpha: 0.00
# cost: 1.20698e+18, est. time: 574.75 GHz days (not accurate yet!)
lss: 0
skew: 122.460
c6: 1
c0: -3372531985651
Y1: -1
Y0: 38359084354469978248840166468025849451
m: 38359084354469978248840166468025849451
rlim: 132000000
alim: 132000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
type: snfs[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 10135
60M 8395
100M 9178
150M 6564
200M 7244[/CODE]

[b]QUEUED[/b] C166 from the OPN t550 file.
Sieve on the algebraic side.
[CODE]n: 1124136516828269021398444028033645650313365193579181592022470389050041651343233766155397986272283076827231643066766434083034719264134043207440092477899202836580811233
# 4590514719337^17-1, difficulty: 227.91, skewness: 128.92, alpha: 0.00
# cost: 1.46709e+18, est. time: 698.62 GHz days (not accurate yet!)
lss: 0
skew: 128.917
c6: 1
c0: -4590514719337
Y1: -1
Y0: 96735115123696580071426138556975605753
m: 96735115123696580071426138556975605753
rlim: 200000000
alim: 200000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
type: snfs[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 9375
60M 7392
100M 7605
150M 7195
200M 6374[/CODE]

C223_129_100 [url=http://www.mersenneforum.org/showpost.php?p=465755&postcount=1105]was suggested for 14e[/url] but I think it fell through the cracks.

C173_129_85 revisited
 

C173_129_85 re-trial sieved using Max's poly, with target relations set to 450M.

[code]n: 16432623607473574219758563585400708524378818125206904056185988551457839250312821323878324356918801650702586763199236947949550568517635374514910417505008392250111636215513873
skew: 7500107.12
c0: -14706812234442561584746077625649079501315
c1: 62935577997654071065756497728660415
c2: -18514641213973620944626070771
c3: -3710098762779786734135
c4: 262902730897806
c5: 15679440
Y0: -1009427825229211597749017949451862
Y1: 210906019054079
# size 7.565e-017, alpha -7.687, combined = 2.415e-013 rroots = 5
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8[/code]


Yield with Q in blocks of 10K on 14e:
[code]
Q=30M 24012
Q=60M 25041
Q=100M 23056
Q=150M 25205
Q=200M 23624
Q=250M 22541
[/code]
Suggesting a sieving range of 30M-215M

Queued C223_129_100 and C173_129_85

(by a typo I queued C166_4590514719337_17 as C16_4590514719337_17; bear this in mind at download time)

C172_146_97 for 14e (GNFS)
 

C172_146_97 is another composite stub remaining after yoyo@Home found a p53. Many thanks to Max for the excellent poly.
[code]
n: 1170853019515033698415242459454033802398574616300210069115767756868401726019155955087945146536620237667693835959736726342342054660212038811896070939605661625429429731919839
skew: 25160967.71
c0: 991834780948194543991887971239482751691040
c1: 572326646054572174299171725001398778
c2: 1934877978873866669654342727
c3: -2069560651005489103571
c4: 12064175741450
c5: 1187400
Y0: -1580449837730585778276683181839623
Y1: 628496539689113733197
# size 1.201e-016, alpha -8.977, combined = 3.255e-013 rroots = 3
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
[/code]


Test sieving with Q in blocks of 10K
[code]
Q=30M 18319
Q=60M 18350
Q=100M 15579
Q=150M 15474
[/code]
Suggesting a sieving range of 30M-170M

Swellman PM'ed me with a question about test-sieving C224_148_86, and I found it interesting so I took on test-sieving a few options:
[code]n: 45627432792347670688239956412173506509008903107099345312947604301182520320088908379217379060309588664605324037213136495321294587557850433562888672922025539316571326365191223456037265379609488544611394330437749647736122392373
# 148^86+86^148, difficulty: 245.02, anorm: 2.55e+040, rnorm: 1.42e+046
# scaled difficulty: 245.02, suggest sieving rational side
# size = 8.583e-013, alpha = 0.000, combined = 1.120e-013, rroots = 0
type: snfs
size: 245
skew: 11.674
c6: 1
c0: 2531281
Y1: 4838313566980742053301602746368
Y0: -2303887567059225375711861260560690857602371813376
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8[/code]
I tried 14e/32 and 14e/33 with the above parameters, also 15e/31 and 15e/32 with alim = rlim = 134M. All testing was done with Q-range of 2000 per test.
14e/32: [code]
Q=30M 3237 rels 0.223 sec/rel
Q=80M 3136 rels 0.206 sec/rel
Q=130M 3290 rels 0.244 sec/rel
Q=180M 2626 rels 0.291 sec/rel
Q=230M 2766 rels 0.328 sec/rel
Q=280M 2772 rels 0.359 sec/rel
Target 450M relations => Q-range 20-330M suggested[/code]

14e/33: [code]
Q=30M 5069 rels 0.142 sec/rel
Q=80M 5153 rels 0.126 sec/rel
Q=130M 5834 rels 0.138 sec/rel
Q=180M 4838 rels 0.158 sec/rel
Q=230M 5074 rels 0.179 sec/rel
Q=280M 5090 rels 0.197 sec/rel
Target 760M relations => Q-range 20-310M suggested[/code]

15e/31: [code]
Q=30M 3968 rels 0.266 sec/rel
Q=80M 2869 rels 0.320 sec/rel
Q=130M 3024 rels 0.371 sec/rel
Target 240M relations => Q-range 20-170M suggested[/code]

15e/32: [code]
Q=30M 6818 rels 0.155 sec/rel
Q=80M 5568 rels 0.165 sec/rel
Q=130M 5831 rels 0.192 sec/rel
Target 410M relations => Q-range 20-170M suggested[/code]

15e/32 is at least 35% faster than 14e/32 for the job (20-25% faster sec/rel at identical Q-values, but 15e avoids all the slow Q-range above 180M). I didn't do the integration to calculate estimated job length, but roughly 35% less time suggests 15e might be the right siever here.
We haven't tried 14e/33 yet, and 20-310M sieve range isn't a terrible idea; I estimate 14e/33 to be 10% faster job than 14e/32, with 15e/32 roughly 25% faster than 14e/33.

C173_130_129 GNFS on 15e
 

C173_130_129 is the remaining composite stub after yoyo@Home found a p53. Many thanks to Max0526 for the excellent poly - a new record for a C173 I believe.
[code]
n: 12943490163899842800202807808563517677179129369217866856794847025883663552804850369692061096437966431056254749174584130929481762886801341603554776086080941421222438047588701
skew: 14985693.28
Y0: -2314093965309990903135234813960467
Y1: 2512273913966851261789
c0: -8462437386056646112680224420839599115776
c1: 10997372261995056796792168726037808
c2: 2165078146665064726520117240
c3: -74627684218946321311
c4: -9006531480082
c5: 195060
# size 8.218e-017, alpha -5.665, combined = 2.579e-013 rroots = 5
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
[/code]

Test sieving on the -a side with Q in blocks of 10K
[code]
Q=30M 29034
Q=60M 26919
Q=100M 29630
[/code]
Suggesting a sieving range of 30M-115M