[B]QUEUED AS 10m9_251[/B]

SNFS-253.0 C213 HCN (10-9,251), ECM to t55. For 14e.
[code]
n: 270007770536728171215048516601118415826704597335989728435317600591648651387159621536736220659947306308306521523371561307526987011881346887096302213783809548403017422666821111304151637543837542268045503480196794609
# 10^251-9^251, difficulty: 252.95, skewness: 1.02, alpha: 0.00
skew: 1.018
c6: 9
c0: -10
Y1: -11972515182562019788602740026717047105681
Y0: 1000000000000000000000000000000000000000000
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 93
mfba: 62
rlambda: 3.6
alambda: 2.6
[/code]
Trial sieving 2K blocks.
[code]
Q Yield
--- -----
20M 4015
60M 2676
100M 2379
140M 1839
180M 1538
220M 1638
260M 1627
300M 1450
[/code]
Recommend sieving special Q on rational side, 20M - 260M.

[B]QUEUED AS C164_3366_2191[/B]

C164 from AS 3366:i2191.
[CODE]n: 11406655025746530479592552848638364165432015895226525928287201839490386720280910553070081004042224598650118885499948288596504170408808984606351025540805617074420269
# expecting poly E from 8.19e-13 to > 9.42e-13
lss: 0
Y0: -26940947645531059095350423961838
Y1: 2312264493781099
c0: -652325094864636584750628279065924100381
c1: -616788552825472219044573742687070
c2: 400072983721828829281982144
c3: 119245095276746914606
c4: -14893093406607
c5: 803700
skew: 4506500.88
# size 6.271e-16, alpha -7.295, combined = 8.603e-13 rroots = 3
type: gnfs
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 13610
60M 13113
100M 13400
120M 14234[/CODE]

[B]QUEUED AS 11m6_241[/B]

SNFS-251.0 C218 HCN (11-6,241), ECM to t55. For 14e.
[code]
n: 10979510115643330573333428005243050482172853918537593928391176685974531533969556285275737166059162776843054951963790036466070893313964305345416284770064955925202445883823621997945091711758777967157154784027993459548367
# 11^241-6^241, difficulty: 250.98, skewness: 0.90, alpha: 0.00
skew: 0.904
c6: 11
c0: -6
Y1: -13367494538843734067838845976576
Y0: 452592555681759518058893560348969204658401
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 93
mfba: 62
rlambda: 3.6
alambda: 2.6
[/code]
Trial sieving 2K blocks.
[code]
Q Yield
--- -----
20M 2730
60M 2347
100M 2230
140M 1986
180M 1664
220M 1784
260M 1843
300M 1587
[/code]
Recommend sieving special Q on rational side, 20M - 250M.

[B]QUEUED AS 10p9_263[/B]

GNFS-155 HCN (10+9,263), ECM to t51+. For 14e.
[code]
n: 79058582348920516775124371844788672593692077674670670662108430477991802978857414280462563935192697914634959768945722222226839158432230150483453360596660317
# norm 5.171636e-15 alpha -8.914236 e 2.633e-12 rroots 3
skew: 87119985.86
lss: 0
c0: -487467575958756453330766853028962117450337
c1: -22285179880604514135547559962952533
c2: 983024762747439333194055899
c3: -3806923347582069931
c4: -222859926258
c5: 360
Y0: -2939891419574016805266534991790
Y1: 108602751009419809
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
[/code]
Trial sieving 2K blocks.
[code]
Q Yield
--- -----
20M 3576
60M 3052
100M 2637
140M 2354
180M 1820
220M 2112
260M 1843
300M 2026
[/code]
Recommend sieving special Q on algebraic side, 20M - 60M.

[B]QUEUED AS 5p3_1425M[/B]

GNFS-155 HCN (5+3,1425M), ECM to t51+. For 14e.
[code]
n: 42295803885738443379343531401295313744823201366445265197601737224465272472013959337556490813709207694674486140582517266500112923746841921390243606443332901
# norm 5.315594e-15 alpha -6.899076 e 2.675e-12 rroots 5
skew: 1091752.74
lss: 0
c0: 2334048534047157716478519160796026800
c1: 5370418904090664853478140509276
c2: -23811882220836855061252041
c3: -1109975617236462088
c4: 20967866763256
c5: 4500552
Y0: -393193313174007787408293463693
Y1: 171527382585701039
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
[/code]
Trial sieving 2K blocks.
[code]
Q Yield
--- -----
20M 3532
40M 2790
60M 2233
80M 1815
100M 1801
120M 1695
140M 1690
160M 1494
[/code]
Recommend sieving special Q on algebraic side, 20M - 66M.

[B]QUEUED AS 7p2_310[/B]

GNFS-156 HCN (7+2,310), ECM to t52. For 14e.
[code]
n: 443079643190882694354510479219435436632474202269846729736126549579757830886957208348150599968657913503978735118731033723043097250749323149357608151479786341
# norm 4.252776e-15 alpha -7.246509 e 2.389e-12 rroots 3
skew: 40619146.53
lss: 0
c0: 25074828188141332342346536988527952239080
c1: 604417541224917383153599563151686
c2: -148154872885355654201116483
c3: -2509139980011460133
c4: 8898504365
c5: 780
Y0: -3555309615326873327723978833391
Y1: 41369027385185849
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
[/code]
Trial sieving 2K blocks.
[code]
Q Yield
--- -----
20M 3328
40M 2782
60M 2422
80M 2014
100M 2687
120M 1596
140M 1613
160M 1718
[/code]
Recommend sieving special Q on algebraic side, 20M - 66M.

Fib1417 for the 15e queue?
 

One natural successor after L1519 would be the Fib1417/Fib109 cofactor
(it is a clean sextic in x=Lucas(218), diff.274)

[CODE]L 1519 264 270.816 /res /7
F 1417 215 272.064 /13
L 1526 220 272.064 /7
L 1441 238 272.48 /11 quintic
F 1977 229 274.144 /3
L 1983 197 274.976 /3
L 1986 211 275.392 /3
L 1992 206 276.224 /3
[/CODE]

[B]QUEUED AS 19196197_31m1[/B]

C192 from the MWRB file with OPN weight of 580.
[ a.k.a. Phi_31(Phi_3(27361)/3/13)/918650564486784819950964593 ]
[CODE]n: 341433101130439008176805213335310425258436611337330480672160320817492705699047157240018717663430300061915711016419741363556690142273235020289480778260442051218962978077644686508125328877717859
# 19196197^31-1, difficulty: 225.78, skewness: 0.06, alpha: 0.00
# cost: 1.23438e+18, est. time: 587.80 GHz days (not accurate yet!)
skew: 0.061
c6: 19196197
c0: -1
Y1: -1
Y0: 2606609603804539150049383239795660757
type: snfs
rlim: 67000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 13159
60M 9263
100M 8243
150M 6354
170M 6159[/CODE]

[QUOTE=Batalov;519844]One natural successor after L1519 would be the Fib1417/Fib109 cofactor
(it is a clean sextic in x=Lucas(218), diff.274)

[CODE]L 1519 264 270.816 /res /7
F 1417 215 272.064 /13
L 1526 220 272.064 /7
L 1441 238 272.48 /11 quintic
F 1977 229 274.144 /3
L 1983 197 274.976 /3
L 1986 211 275.392 /3
L 1992 206 276.224 /3
[/CODE][/QUOTE]

Go ahead (I am pretty solidly focussed on the GNFS candidates)

[B]QUEUED AS 46771_47m1[/B]

C215 from the MWRB file with OPN weight of 451.
[CODE]n: 65907591511996723209656296607127315171000328404578449312599401848428408294797600573487888646121204557941185096129092330755645893354954106265982950763085810482566974657531828393450805944648583845933145958010006666917
# 46771^47-1, difficulty: 224.16, skewness: 6.00, alpha: 0.00
# cost: 1.08191e+18, est. time: 515.19 GHz days (not accurate yet!)
skew: 6.002
c6: 1
c0: -46771
Y1: -1
Y0: 22898827444755355637603451395185443361
type: snfs
rlim: 33500000
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 9894
40M 7998
60M 6404
100M 5474
120M 4846[/CODE]

[B]QUEUED AS 10m3_251[/B]

SNFS-252.5 C219 HCN (10-3,251), ECM to t55. For 14e.
[code]
n: 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339
# 10^251-3^251, difficulty: 252.48, skewness: 1.22, alpha: 0.00
# cost: 1.00277e+19, est. time: 4775.09 GHz days (not accurate yet!)
skew: 1.222
c6: 3
c0: -10
Y1: -109418989131512359209
Y0: 1000000000000000000000000000000000000000000
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 93
mfba: 62
rlambda: 3.6
alambda: 2.6
[/code]
Trial sieving 2K blocks.
[code]
Q Yield
--- -----
20M 5601
40M 3701
60M 3301
80M 2700
100M 2206
120M 2283
140M 2391
160M 2021
[/code]
Recommend sieving special Q on rational side, 20M - 170M.