[QUOTE=Max0526;481552]CADO variant of the same poly. May sieve better. Consider test-sieving just in case.
[code]
Y0: -27442674178123406747757325421347
Y1: 7793043806681
c0: 314662976051697823608329659840189789056
c1: 49021687019203609857877256003760
c2: -756105726286871951538665776
c3: 4534691569295778598
c4: 72413212373517
c5: 2496780
skew: 3295535.88118
# lognorm 51.65, E 44.46, alpha -7.19 (proj -1.90), 5 real roots
# MurphyE = 7.78034951e-13
[/code][/QUOTE]

All the coefficients are the same!
This is the same number as requested in the Polynomial Request Thread. Your first poly sieved the best but by only 2% better than mine.

@RichD
> All the coefficients are the same!
My mistake, very sorry. I assumed that CADO output is never the same, I was wrong.

[b]QUEUED AS C209_96656723_29[/b] C209 from the OPN t550 file for 14e.
[CODE]n: 38155489400390684492057575248670260375699046067794220801720054838684506391152282907392260134473322821707769822885146094083793285393711876564941302765016751736349211746717683659632829781992038094808885447608239
# 96656723^29-1, difficulty: 239.56, skewness: 21.42, alpha: 0.00
# cost: 3.70275e+18, est. time: 1763.22 GHz days (not accurate yet!)
skew: 21.42
c6: 1
c0: -96656723
Y1: -1
Y0: 8436461613321180580662662958405780659843
type: snfs
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.7
alambda: 2.7
type: snfs[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 12836
60M 10057
100M 9487
150M 7959
200M 7591
250M 6765
300M 6760[/CODE]

[b]QUEUED AS C205_924xx521_5[/b]
C205 from the OPN t600 file.
[ a.k.a. Phi_5(Phi_11(Phi_5(3851)/5/19218301)/23/186049117) ]
P54^5-1
[CODE]n: 1323787797341202891406506433704883166752001838765328656069746984875050362294070749635299260192151103497722045843897943765353227228438616390233123476486387480708100421427049358561931073294411578077974071961
# 924407418969362291616197435056430675289762026161428521^5-1, difficulty: 215.86, skewness: 1.00, alpha: 1.45
# cost: 5.45981e+17, est. time: 259.99 GHz days (not accurate yet!)
skew: 1.000
c4: 1
c3: 1
c2: 1
c1: 1
c0: 1
Y1: -1
Y0: 924407418969362291616197435056430675289762026161428521
type: snfs
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 92
mfba: 62
rlambda: 3.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 12030
60M 13286
100M 13975
140M 12704[/CODE]

[b]QUEUED AS C159_112xx041_17[/b]
C159 from the OPN t600 file.
[ a.k.a. Phi_17(Phi_5(8970971)/5/11/811/12926572181) ]
[CODE]n: 567033079351417599792287481827798838189390134708539997609886372751620595472206543240914774142736016505565453857390328265649123632896794230620769751076259286187
# 11232875364041^17-1
# expecting poly E from 1.49e-12 to > 1.72e-12
lss: 0
Y0: -4838152153707467647999587052081
Y1: 1979898218066797
c0: 2525402780109740104271968199475880800
c1: 9596414219759589072414289455240
c2: -19454805664515688837147990
c3: -6920023955982287039
c4: -574862570116
c5: 213900
skew: 2793565.99
# skew 2793565.99, size 1.855e-15, alpha -6.134, combined = 1.650e-12 rroots = 3
type: gnfs
rlim: 67000000
alim: 67000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 11566
60M 9750
100M 10534[/CODE]

[b]QUEUED[/b] C163_151_45 is ready for GNFS on 14e. I've been playing around with xyyx numbers where x=151. Just removing small factors, running low ECM, etc. This job fell out, and GNFS slightly edges out SNFS. Seemed like a fun job.

[code]n: 2499830250929377371615110582385094423403502627984885738837881195521490842836132126025582427792922041447461382151746121719936601309358197409471760186958718092614989
skew: 1613790.50
c0: -4701620952468620007188957972902640087
c1: -1631530669598296050779238660793
c2: 27727130106879955181681735
c3: -5620908737842388651
c4: 15986229733656
c5: 987900
#size 7.337e-16, alpha -6.035, combined = 9.389e-13 rroots = 3
Y0: -19082686107906196762944828398604
Y1: 1881732516618913
rlim: 67000000
alim: 67000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6
[/code]


Test sieving results on the -a side, with Q in blocks of 10K
[code]
Q=20M 14369
Q=60M 13489
Q=100M 12693
[/code]
Suggesting a sieving range of 20M-110M with target # rels = 120M

[b]QUEUED AS C184_2561074343_23[/b] C184 from the OPN t600 file.
Sieve on the ALGEBRAIC SIDE.
[CODE]n: 1322460979077366630360853543370415887912247543970214396433444750893920001012954175414405407091325909602739020654539459045907273148240171258300868185524781308167406096128005922377951111
# 2561074343^23-1, difficulty: 225.80, skewness: 36.99, alpha: 0.00
# cost: 1.23663e+18, est. time: 588.87 GHz days (not accurate yet!)
lss: 0
skew: 36.989
c6: 1
c0: -2561074343
Y1: -1
Y0: 43021816296472741482967144144160959201
type: snfs
rlim: 268000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 8480
60M 8224
100M 6650
150M 5245
200M 5756[/CODE]

[b]QUEUED[/b] C175_142_130 is a composite stub remaining after yoyo@Home found a p58. It is ready for GNFS on 15e.
[code]
n: 3171216243151117801908173361492419424469848131145041418417259189075751201799682950004775077511748490405838541982866091245947586330479250208822861305228458344423005394835803901
# norm 6.395655e-17 alpha -8.120925 e 1.977e-13 rroots 3
skew: 49633275.07
c0: 9609929940331638596779248778613865916710005
c1: 996381179151505999784768789957391292
c2: 2533637203368113953818353275
c3: -2725489679218934591356
c4: -3986795332704
c5: 257040
Y0: -6580289926091694057481430209096398
Y1: 13762098543200293
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=20M 23834
Q=50M 24152
Q=80M 26192
Q=130M 26919
[/code]
Suggesting a sieving range for Q of 20M-120M with target # relations = 250M

[b]QUEUED AS 13_2_850m1[/b] 13*2^850-1 for 14e: ECM was run to roughly a t55.
[code]n: 6092797094107425799704466369284382300839334206194390513215996736007551793410787668914350721278973895519834819835961779089361346742622564060403743326622002553927767824812532734024997259419552697698879
m: 5575186299632655785383929568162090376495104
type: snfs
size: 257
skew: 0.83
c6: 13
c0: -4
rlim: 134000000
alim: 200000000
lpbr: 33
lpba: 33
mfbr: 66
mfba: 66
rlambda: 2.7
alambda: 2.7[/code]
Test-sieving suggests Q=15M-220M to produce ~630M rels. I'll handle the matrix when ready.
While this candidate is a bit larger than 13*2^847-1 done most recently, testing 3LP was 15% slower than 2LP (while 847 was within margin of test-sieve error, perhaps 0-5% slower). 65-bit mfb were also slower by single-digit % (but lower yield, so worse in two ways).

[b]QUEUED AS C166_755xx481_3[/b]
C166 from the OPN t600 file.
[ a.k.a. Phi_3(Phi_5(Phi_5(Phi_3(Phi_5(3169)/5)/78049/22216443433)/1404522989938741)/5)/4052089 ]
p86^3-1
[CODE]n: 1407881584907180607948685317019832715417587569623090798213144268275829243110822281390733648807521735048757568056879492657992663715412865944022335241300683482629767987
# 75530533451743557525338385814839050445571761854876146017004062930526523488696122961481^3-1
# expecting poly E from 6.11e-13 to > 7.03e-13
lss: 0
Y0: -104106305266604742527397703090184
Y1: 337692328325489
c0: -7169806242551647659937136588685794115405
c1: 15243629559466206672892964697867510
c2: -1138336935775737851364781151
c3: -315497699423677780349
c4: 2808191956575
c5: 115128
skew: 17492965.34
# skew 17492965.34, size 3.685e-16, alpha -7.248, combined = 6.198e-13 rroots = 5
type: gnfs
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 12044
60M 11313
100M 13371
140M 11209[/CODE]

[b]QUEUED AS C160_121xx489_13[/b]
C160 from the OPN t600 file.
[CODE]n: 4568620356934293839958681438539955826175348114584749897426762119097236484102459468340000657755575989948464189513397960123908937260198537815646144025509868460107
# 12135499643725165489^13-1, difficulty: 229.01, skewness: 1.00, alpha: 3.10
# cost: 1.60248e+18, est. time: 763.09 GHz days (not accurate yet!)
skew: 1.000
c6: 1
c5: 1
c4: -5
c3: -4
c2: 6
c1: 3
c0: -1
Y1: -12135499643725165489
Y0: 147270351602853618515276705840436609122
type: snfs
rlim: 67000000
alim: 67000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
In hindsight, it is better to start sieving a little lower. So I added Q=15M
[CODE] Q Yield
15M 12760
20M 12223
50M 9307
80M 7734
[strike]110M 7641[/strike][/CODE]