2022 Queue management of 15e - Page 5

swellman · 2022-04-13, 11:25

QUEUED AS C214_M31_k70

C214_M31_k70 is a composite from the kosta project. It has a SNFS difficulty 279 and is ready to sieve after extensive ECM (~t63).

Code:

n: 1952329202661866602684979956787714136482531226833055496710056683028658100012799836257527350037275596384189190550132825485135466639172655355292471161449599261594798638028373903096628381188057821540414523320973594741
skew: 1.000
type: snfs
size: 279
# M31^70-1
c6: 1
c5: -1
c4: 1
c3: -1
c2: 1
c1: -1
c0: 1
Y1: 1
Y0: -45671926060252476630107084286792841360213803007
rlim: 134000000
alim: 316000000
lpbr: 33
lpba: 32
mfbr: 96
mfba: 64
rlambda: 3.7
alambda: 2.8

Results of test sieving on the rational side with Q in blocks of 1000:

Code:

MQ       Norm_yield      Speed (sec/rel)
40          3043              0.326
70          2813              0.382
100         2281              0.458
150         2102              0.485
200         1889              0.573
250         1793              0.549
300         1594              0.620
350         1473              0.638
400         1478              0.662
450         1469              0.681

Suggesting a sieving range for Q of 38-406M to generate 710M+ raw relations.

swellman · 2022-04-13, 11:31

QUEUED AS 7p5_875M

7+5,875M is a c194 HCN with over 32,800 curves @B1=260M worth of ECM. It is best sieved via GNFS, poly courtesy of Gimarel.

Code:

n: 55112310115111956757277727474513727827111189285688158207119267440141265902631103052776687327960482210352168983939501786317489711578608150510910894863199686011218745882236632058521265267807114001
# norm 6.940135e-19 alpha -7.982099 e 1.231e-14 rroots 5
skew: 37906317.50
c0: 1264506838135248698842300648254931582009401111
c1: 456112891810871136813473303772884041683
c2: 19367692612740432638773547903962
c3: -1003683725088047665592395
c4: -9445504706667225
c5: 174636000
Y0: -12584123461707475173700174042146416326
Y1: 6527260563788145114281
rlim: 266000000
alim: 134000000
lpbr: 33
lpba: 33
mfbr: 66
mfba: 96
rlambda: 3.0
alambda: 3.7

Results from test sieving on the algebraic side with Q in blocks of 1000:

Code:

MQ       Norm_yield     Speed (sec/rel)
30          3061             0.249
40          3214             0.233
60          3150             0.270
90          2942             0.306
130         2892             0.291
170         2575             0.327
220         2422             0.325
270         2327             0.359
320         2098             0.433

Suggesting a sieving range for Q of 34-300M to generate 710M raw relations.

RichD · 2022-04-13, 12:56

QUEUED AS 263_109m1

C210 from the OPN t600 file.

Code:

n: 119378303255121993463685600980476156220725986323024296040055247696074345272217382718547075638973848027802367875035971616475401596194379087728177888467708994744635670713451092836962799161791460706164610269669263
# 263^109-1, difficulty: 263.78, skewness: 0.40, alpha: 0.00
# cost: 2.33776e+19, est. time: 11132.18 GHz days (not accurate yet!)
skew: 0.395
c6: 263
c0: -1
Y1: -1
Y0: 36241275390490156321969476908188680082654129
type: snfs
rlim: 134000000
alim: 268000000
lpbr: 31
lpba: 32
mfbr: 62
mfba: 93
rlambda: 2.7
alambda: 3.5

Trial sieving 5K blocks.

Code:

VBCurtis · 2022-04-14, 16:32

May I have another 10MQ for 13_2_923m1_1?

I built a matrix, but it's 31M size. Just ~20M more relations should knock that down by 10% or so.

Done. Good luck!

swellman · 2022-04-17, 11:17

QUEUED AS 4p3_1419M

4+3,1419M is another HCN which recently completed ECM to a full t60. It is a c193 best factored using GNFS on 15e.

Code:

n: 3635833645285890503774430360300931997563942166818878698470778130472201448077707828988701265983150642294120099843056509914570076077815223469195582633677206190672411349418942440476243780135988867
skew: 11478304.86
type: gnfs
lss: 0
c0: 18332085763527668347488624994572972713692956
c1: -1964088605331743841690504695204132347
c2: -1989754538318396784719533567394
c3: 251030333476298098275743
c4: 19467133836574770
c5: 44024400
Y0: -15252902260980433666785884566655199746
Y1: 11766516861230576708221403
# MurphyE (Bf=8.590e+09,Bg=4.295e+09,area=2.684e+16) = 1.149e-08
# cownoise: 1.31080499e-14
rlim: 266000000
alim: 134000000
lpbr: 33
lpba: 33
mfbr: 66
mfba: 96
rlambda: 3.0
alambda: 3.7

Results of test sieving on the algebraic side with Q in blocks of 1000:

Code:

MQ       Norm_yield      Speed (sec/rel)
30          2866              0.374
50          2780              0.387
70          2783              0.423
100         2575              0.472
150         2477              0.467
200         2349              0.485
250         2067              0.568
300         1936              0.601
350         1815              0.602
450         1782              0.592

Suggesting a seiving range for Q of 28-460M to generate 950M raw relations.

VBCurtis · 2022-04-18, 05:04

Quote:

Originally Posted by VBCurtis

May I have another 10MQ for 13_2_923m1_1?

I built a matrix, but it's 31M size. Just ~20M more relations should knock that down by 10% or so.

Done. Good luck!

Just right! New matrix 27.5M size, it's running now.

I'm test sieving the next candidate in this sequence: 13*2^927-1. I'm surprised to find 16e still slower than 15e, which means I'll have at least one more job for 15e before I shift to f-small.

unconnected · 2022-04-21, 00:11

QUEUED AS C192_785232_11564

C192 from 785232:i11564 for 15e queue.
Thanks Gimarel for the poly!

Code:

n: 352877742600973079835183371695411433700853057958818602576415399270295381830689655616389775032026933352863953179853062837564251029973458211102638237510254736154595759284806157937293481849369639
# norm 1.240318e-18 alpha -7.532287 e 1.760e-14 rroots 5
skew: 11166512.66
c0: 44549465986335687101170388652004286183559000
c1: 1859383291756161743996868361630553379
c2: -2480181312007428947856509788106
c3: -32775893275167804691699
c4: 27296412874693386
c5: 158760000
Y0: -5365159453367507252900879330459589554
Y1: 216465220778528055553
rlim: 268000000
alim: 134000000
lpbr: 33
lpba: 33
mfbr: 66
mfba: 96
rlambda: 3.0
alambda: 3.7
type: gnfs
lss: 0

Suggesting sieve range is 40M-370M.

RichD · 2022-04-26, 00:40

QUEUED AS 221110919_31m1

C251 from the OPN t600 file.

Code:

n: 21792431575176368243588492306982102808608969717219073321094015947424641078855331472746624382048029251258342186184468222014200747417410696344214107228128038711085449135946998564637323939030264039293615589147657843165433405132634603388419985502235696201
# 221110919^31-1, difficulty: 258.68, skewness: 0.04, alpha: 0.00
# cost: 1.60069e+19, est. time: 7622.35 GHz days (not accurate yet!)
skew: 0.041
c6: 221110919
c0: -1
Y1: -1
Y0: 528507248655466802195875764413158538370599
type: snfs
rlim: 134000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 93
rlambda: 2.7
alambda: 3.5

Trial sieving 5K blocks.

Code:

swellman · 2022-05-05, 22:29

QUEUED AS C251_148_65

C251_148_65 is from the XYYXF project which recently finished t60+ worth of ECM. It is a SNFS 268 with a quintic polynomial, as the sextic has large coefficients with slow/poor yield. I initially tested this as a 32/32 job but the yield was not great and so I went with 33/32 on 15e.

Code:

n: 24093437591862324072006591133607504709664180441830498359198936050306486448576238045381893153843698742226087245180176164799727294261589607771668847750318269005794782528271049098527934410477746612333833468602812754849966786693736559194219560524974288109
skew: 5.311
type: snfs
size: 268
c5: 1
c0: 4225
Y1: 16345653942502506936829739008
Y0: -2440061088325404525157577761293434537947177886962890625
rlim: 134000000
alim: 266000000
lpbr: 33
lpba: 32
mfbr: 96
mfba: 64
rlambda: 3.5
alambda: 2.8

Results of test sieving on the rational side with Q in blocks of 1000:

Code:

MQ        Norm_yield      Speed (sec/rel)
40           2108              0.387
70           2171              0.447
100          2438              0.392
150          2368              0.470
200          2175              0.523
250          2084              0.524
300          1916              0.527
350          1883              0.515
400          1857              0.521

Suggesting a sieving range for Q of 40-375M to generate 710+ raw relations.

swellman · 2022-05-10, 11:43

QUEUED AS 10p3_262

10+3,262 is another HCN just finished with ECM. It is a sextic which does not quite fit in 15e_small, so 15e it is.

Code:

n: 442630200987532780617589648485555485465977080278495060367537180434494788962953910520847785123767155656367666216702871242689848232821251417173993770661734088049355014649573130654367807661292321317
skew: 0.7469
type: snfs
size: 262
c6: 144
c0: 25
Y1: -984770902183611232881
Y0: 50000000000000000000000000000000000000000000
rlim: 134000000
alim: 266000000
lpbr: 31
lpba: 31
mfbr: 91
mfba: 62
rlambda: 3.4
alambda: 2.7

Results of test sieving on the rational side with Q in blocks of 1000:

Code:

MQ       Norm_yield      Speed (sec/rel)
40          2082              0.533
70          1763              0.501
100         1592              0.594
150         1331              0.700
200         1236              0.710
230         1128              0.785

Suggesting a sieving range for Q of 40-215M to generate 260M raw relations.

VBCurtis · 2022-05-13, 23:55

QUEUED AS 13_2_927m1

13*2^927-1 is ready for 15e:

Code:

n: 2235674468323154824159703065540694727041982607299580374662199547817173290910517586054765142118605487539993150389456022672912615874081651170714180695574463031073456448704152071156814594736108230576795563252950552629439170084678161604019
type: snfs
skew: 0.48
deg: 6
c6: 104
c0: -1
Y1: -1
Y0: 22835963083295358096932575511191922182123945984
rlim: 134000000
alim: 266000000
lpbr: 33
lpba: 33
mfbr: 96
mfba: 66
rlambda: 3.6
alambda: 2.5

Test-sieving Q=1k intervals indicates a sieve range of Q=25-355M should yield ~875M relations:

Code:

#Q=20M	4153 rels, 0.254 sec/rel
#Q=50M	3888 rels, 0.296 sec/rel
#Q=80M	3173 rels, 0.318 sec/rel
#Q=110M 3126 rels, 0.384 sec/rel
#Q=140M 2846 rels, 0.377 sec/rel
#Q=170M 2065 rels, 0.437 sec/rel 42 spq
#Q=200M 2547 rels, 0.438 sec/rel 55 spq
#Q=230M 2244 rels, 0.478 sec/rel 51 spq
#Q=260M 2376 rels, 0.441 sec/rel
#Q=290M 2229 rels, 0.482 sec/rel 52 spq
#Q=320M 2003 rels, 0.400 sec/rel 50 spq

2022-04-14, 16:32	#48
VBCurtis "Curtis" Feb 2005 Riverside, CA 5989₁₀ Posts	May I have another 10MQ for 13_2_923m1_1? I built a matrix, but it's 31M size. Just ~20M more relations should knock that down by 10% or so. Done. Good luck! Last fiddled with by swellman on 2022-04-14 at 17:14

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