2022 Queue management of 15e - Page 7

swellman · 2022-06-22, 12:36

QUEUED AS 7m6_323

7-6,323 from the HCN project is ready for SNFS on 15e.

Code:

n: 721254440060854722337846666853672843828763907507937679580006428894536425560998937876257185512879872561177644242404144774321019870042152474792275415005376010264695635083205609034385682719838669
skew: 1.0260
type: snfs
size: 273
c6: 6
c0: -7
Y1: -1047532535594334222593508922191671036215296
Y0: 4318114567396436564035293097707728087552248849
rlim: 134000000
alim: 266000000
lpbr: 32
lpba: 32
mfbr: 94
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)
35           2994              0.289
50           3022              0.305
75           2729              0.346
100          2523              0.405
140          2336              0.471
180          2112              0.498
240          1906              0.514

Suggesting a sieving range for Q of 35-225M to generate 460M raw relations. I will do the LA.

swellman · 2022-07-05, 00:59

QUEUED AS 2_1416p1

2,1416+ is a Cunningham number from the latest base-2 table extension. It is SNFS difficulty 284 to be run on 15e.

Code:

n: 3669036175328750192717823859145087565935330937336109556988659420137162837475178691025977787612300167339065038368210644722837545469051949634145413713449662447946368007289369832797779386318121551661573303428681364232447062503631965720593271009
skew: 1.08140
type: snfs
size: 284
# 2^1416+1
c6: 4
c3: -2
c0: 1
Y1: 1
Y0: -182687704666362864775460604089535377456991567872
rlim: 134000000
alim: 266000000
lpbr: 33
lpba: 33
mfbr: 96
mfba: 66
rlambda: 3.7
alambda: 3.0

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

Code:

MQ       Norm_yield     Speed (sec/rel)
35          3743             0.165
50          3441             0.189
75          3321             0.210
100         3095             0.222
140         2716             0.254
180         2418             0.328
240         2280             0.342
300         1990             0.357
370         1898             0.344
440         1796             0.332

Suggesting a sieving range for Q of 35-430 to generate 950M raw relations.

swellman · 2022-07-05, 13:27

QUEUED AS C213_146_132

C213_146_132 is a composite from the XYYXF project now ready for SNFS as a 33/32 hybrid job on 15e.

Code:

n: 893056777816347198729161218297917289911779059070888373649385608058717811758800548718293627086572394372637058444446373481226457729536964989297099024892946685162728665191417684132376902310624589757129442005764041901
skew: 2.5458
type: snfs
size: 268
c6: 4
c0: 1089
Y1: -373374315988027431513338848443837138534924288
Y0: 98424433237708439716398638596388483974129
rlim: 134000000
alim: 266000000
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)
35          3329             0.170
50          3211             0.187
75          2747             0.220
100         2539             0.242
140         2257             0.288
180         2101             0.305
240         1765             0.330
300         1833             0.322
380         1625             0.372

Suggesting a sieving range for Q of 35-380M to generate 730M raw relations.

~~I will enqueue this job at a later date after other projects post work.~~

RichD · 2022-07-07, 20:20

QUEUED AS 7489_71m1

C272 from the MWRB file with OPN weight of 11639.

Code:

n: 16207877138136221825034074332001686606207788783141446106827824992587969407419790989204600160132714896328017666289861257397715342215019348365780216662704155760690653651996556366100926404015553027527961386490599639806919828143147222978768149783791356506441300882162839625351
# 7489^71-1, difficulty: 278.96, skewness: 4.42, alpha: 0.00
# cost: 7.05073e+19, est. time: 33574.89 GHz days (not accurate yet!)
skew: 4.423
c6: 1
c0: -7489
Y1: -1
Y0: 31123323511826263966820903881813153919285886721
type: snfs
rlim: 134000000
alim: 268000000
lpbr: 33
lpba: 32
mfbr: 96
mfba: 64
rlambda: 3.7
alambda: 2.8

Trial sieving 5K blocks.

Code:

The above range should generate an estimated 708M total relations.

RichD · 2022-07-11, 12:17

QUEUED AS 143__553_17m1

C233 from the OPN t550 file.
Sieve on -a side.

Code:

n: 20163160032053637721252464731829905661961350575772011617647573516024902228578035245157475094465582473089530793490017486385330146576301490993403414246618630976996779094609008175025196498284568933500069905941311139120885013046384273293
# 1437263292796553^17-1, SNFS difficulty: 242.52
lss: 0
c8: 1
c7: 1
c6: -7
c5: -6
c4: 15
c3: 10
c2: -10
c1: -4
c0: 1
Y1: -1437263292796553
Y0: 2065725772820390038699448681810
skew: 1.0
rlim: 266000000
alim: 134000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 93
rlambda: 2.8
alambda: 3.5
type: snfs

Trial sieving 5K blocks.

Code:

swellman · 2022-07-18, 14:46

QUEUED AS 9p8_277

9+8,277 is a SNFS 264 composite from the HCN project now ready for sieving:

Code:

n: 47940673072437922579316499036808886917303880395238883229370628681522442640511912752880623100214549339392329234378137244735199339209552179343331130401596800142483284535014438655663103434626799676112750331479036460253086552650629357368146817
skew: 0.9806
type: snfs
size: 264
c6: 9
c0: 8
Y1: -348449143727040986586495598010130648530944
Y0: 78551672112789411833022577315290546060373041
rlim: 134000000
alim: 266000000
lpbr: 32
lpba: 32
mfbr: 94
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)
35          4017              0.237
50          3546              0.269
75          3635              0.273
100         3209              0.313
140         2926              0.335
180         2664              0.392

Suggesting a sieving range for Q of 35-180M to generate 460M raw relations.

swellman · 2022-07-18, 23:54

QUEUED AS 2_1419m1

2,1419- is the last of three reserved Cunningham numbers from the latest extension of the base-2 table. It is sieved on 15e.

Code:

n: 5973511937349496017495707829360959600697740114680270192668066186744238179497408186905265594936370595770308144747298857922505321286544216466268274155697617268266588122628671683757870072223774972262265394104376556534137117871830018849543448271
skew: 0.85818
type: snfs
size: 284
c6: 16
c3: 4
c0: 1
Y1: 1
Y0: -182687704666362864775460604089535377456991567872
rlim: 134000000
alim: 266000000
lpbr: 33
lpba: 33
mfbr: 96
mfba: 66
rlambda: 3.7
alambda: 3.0

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

Code:

MQ       Norm_yield       Speed (sec/rel)
35          3721               0.171
50          3498               0.187
75          3256               0.212
100         2954               0.270
140         2685               0.307
180         2355               0.290
240         2192               0.299
300         2033               0.307
370         1867               0.336
440         1688               0.365

Suggesting a sieving range for Q of 35-440M to generate 950M raw relations.

swellman · 2022-07-21, 15:48

QUEUED AS 11m3_825M

11-3,825M is a GNFS 195 composite from the HCN project. It is ready for sieving on 15e.

Code:

n: 102321453509007438552518035673503689807237071382340769983097912090046069867427160104968782313205511591594280004987619773186120222377338832107141591151925451767603846299026958761993890626201339301
skew: 120110430.39
type: gnfs
lss: 0
c0: -26717595915537577622988596689067944188263507700
c1: 277644615868194727166497853430607747043
c2: 18235103670163734605438695652900
c3: -84687056017688046474981
c4: -1627919593310272
c5: 1314180
Y0: -43497919484087675136316845101798495909
Y1: 47080517401981302402397
# MurphyE (Bf=8.590e+09,Bg=4.295e+09,area=2.684e+16) = 1.025e-08
# skew 120110430.39, size 4.605e-019, alpha -6.948, combined = 1.072e-014 rroots = 5
rlim: 266000000
alim: 134000000
lpbr: 33
lpba: 33
mfbr: 66
mfba: 96
rlambda: 3.0
alambda: 3.7

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

Code:

MQ       Norm_yield      Speed (sec/rel)
20          1874              0.479
35          2332              0.413
50          2486              0.426
75          2496              0.426
100         2492              0.447
140         2296              0.483
180         2084              0.512
240         2000              0.527
300         1833              0.594
380         1660              0.637
460         1590              0.671
510         1473              0.712

Suggesting a sieving range for Q of 20-490M to generate 940M raw relations.

charybdis · 2022-07-23, 18:46

QUEUED AS 2_2862M

Quote:

Originally Posted by charybdis

To make up for this, I will be sending the next two hard jobs to 15e instead

You were warned...

2,2862M is a Cunningham composite of SNFS difficulty 287 from the recent base-2 extension. Under normal circumstances it would be done on 16e-small, like its twin 2,2862L was, but given the length of the 16e-small queue I'm submitting it to 15e instead.
If anyone has a smaller number that they'd like to get done quickly I'd be happy for it to take priority over this job in the queue.

Code:

n: 3443287231240687881303923741291754734392557235155718965007633053583446725049274746880618058250151487673262213073937108280616372020515610808675234140468334662198204768231057382174746948131143507057105970097466581012497421731187953577
skew: 2.05
type: snfs
size: 287
c6: 1
c5: 0
c4: -12
c3: 4
c2: 36
c1: -24
c0: -8
Y1: 604462909807314587353088
Y0: -730750818665451459101842416358141509827966271489
rlim: 134000000
alim: 266000000
lpbr: 33
lpba: 33
mfbr: 96
mfba: 66
rlambda: 3.8
alambda: 2.6

Test-sieving 1k blocks on the rational side:

Code:

MQ       Norm_yield      Speed (sec/rel)
25          3454              0.121
40          3205              0.136
70          2892              0.154
100         2534              0.179
150         2151              0.214
200         1980              0.226
300         1631              0.266
400         1414              0.298
500         1356              0.306
600         1319              0.310

Suggest sieving 25-530M for 950M raw relations.

RichD · 2022-07-24, 21:51

C218 from the OPN file t550.
Sieve on the algebraic side.

Code:

n: 15408601493056043415906090162578650013956154779559962936558235847864676250787149677973037155754572123552662048761330289226141167641708444550944783565733312174411831602455187585645867987694560088894019633038130261626389
# 31479823396757^19-1, difficulty: 256.46, skewness: 0.01, alpha: 0.00
# cost: 1.35513e+19, est. time: 6452.98 GHz days (not accurate yet!)
skew: 0.006
c6: 31479823396757
c0: -1
Y1: -1
Y0: 31195852758590190231949248764353333010093
lss: 0
type: snfs
rlim: 266000000
alim: 134000000
lpbr: 33
lpba: 33
mfbr: 66
mfba: 96
rlambda: 3.0
alambda: 3.7

Trial sieving 5K blocks.

Code:

I started out using 32/33 because it looked like a good yield. The special-Q went out to 540M to get (estimated) 700M relations. So I switch to 33/33 (and other corresponding parameters) and special-Q needs to go to 520M to get 950M relations. It seems 33/33 would be slightly better but requires a bigger matrix. Below is the yield for 32/33 with mfbr=64 and rlambda=2.8 if others think it would be better.

Trial sieving 5K blocks.

Code:

swellman · 2022-07-24, 23:14

Quote:

Originally Posted by RichD

C218 from the OPN file t550.
Sieve on the algebraic side.

Code:

n: 15408601493056043415906090162578650013956154779559962936558235847864676250787149677973037155754572123552662048761330289226141167641708444550944783565733312174411831602455187585645867987694560088894019633038130261626389
# 31479823396757^19-1, difficulty: 256.46, skewness: 0.01, alpha: 0.00
# cost: 1.35513e+19, est. time: 6452.98 GHz days (not accurate yet!)
skew: 0.006
c6: 31479823396757
c0: -1
Y1: -1
Y0: 31195852758590190231949248764353333010093

This is an ugly polynomial but sometimes there’s no alternative.

Cownoise gives 0.00718 for the optimal skew, for what it’s worth.

You should certainly go with 33/33.

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