Linear algebra reservations, progress and results

[pinhodecarlos]

Tom, I'm post-processing L2755A and LA is due to finish in 70 hours.

[swellman]

Originally Posted by fivemack

Sean: I accidentally reserved L3865B, which I think is your fox (since you found the polynomial and did the ECM): I've removed my reservation, could you confirm that you plan to do it in the medium term and I'll put your name on it?

Yes, I will postprocess L3865B in the medium term (a few weeks I think).

[RichD]

Taking 5393^71-1 (15e).

[richs]

Reserving Phi_3(Phi_11(Phi_3(794191)/small)/small)/small. Please advise the file name.

[Dubslow]

Originally Posted by richs

Reserving Phi_3(Phi_11(Phi_3(794191)/small)/small)/small. Please advise the file name.

That is C160_114xxx461_3.

The GNFS number in question is

2919357762182025637085736884361041528026147286452771585642240169286735537985256859236432072193315178520639434000278148158555949326472316399110665642570661007011

, which is the number (y^6-1)/(y*3*151), where y is itself (x^11-1)/(x*23*858001), where x is (794191^3-1)/(794190*3*307).

[fivemack]

Mon Jan 29 16:41:47 2018  lanczos halted after 663899 iterations (dim = 41982252)
Mon Jan 29 16:42:22 2018  recovered 2 nontrivial dependencies
Mon Jan 29 16:42:26 2018  BLanczosTime: 4145507
Mon Jan 29 16:42:26 2018  elapsed time 1151:31:48
Mon Jan 29 16:42:26 2018  
Mon Jan 29 16:42:26 2018  
Mon Jan 29 16:42:26 2018  Msieve v. 1.53 (SVN 993)
Mon Jan 29 16:42:26 2018  random seeds: 6e8a9003 79c3c7f3
Mon Jan 29 16:42:26 2018  factoring 18990123508557902868419834986612849212629329047848408031918356871905091180915018818857084783656883790655928770567349115604303665109625610225945717466120031386943078873289069222693826896799892056101 (197 digits)
Mon Jan 29 16:42:27 2018  no P-1/P+1/ECM available, skipping
Mon Jan 29 16:42:27 2018  commencing number field sieve (197-digit input)
Mon Jan 29 16:42:27 2018  R0: 119738888098469732352733201
Mon Jan 29 16:42:27 2018  R1: -6705343098319824504035000000000000000000000000
Mon Jan 29 16:42:27 2018  A0: 710432
Mon Jan 29 16:42:27 2018  A1: 0
Mon Jan 29 16:42:27 2018  A2: 0
Mon Jan 29 16:42:27 2018  A3: 0
Mon Jan 29 16:42:27 2018  A4: 0
Mon Jan 29 16:42:27 2018  A5: 0
Mon Jan 29 16:42:27 2018  A6: 35
Mon Jan 29 16:42:27 2018  skew 5.22, size 2.773e-14, alpha -0.778, combined = 8.262e-15 rroots = 0
Mon Jan 29 16:42:27 2018  
Mon Jan 29 16:42:27 2018  commencing square root phase
Mon Jan 29 16:42:27 2018  reading relations for dependency 1
Mon Jan 29 16:42:30 2018  read 20992746 cycles
Mon Jan 29 16:42:52 2018  cycles contain 55771226 unique relations
Mon Jan 29 16:48:58 2018  read 55771226 relations
Mon Jan 29 16:52:31 2018  multiplying 55771226 relations
Mon Jan 29 17:51:26 2018  multiply complete, coefficients have about 1867.50 million bits
Mon Jan 29 17:51:31 2018  initial square root is modulo 238270447
Mon Jan 29 18:50:25 2018  sqrtTime: 7678
Mon Jan 29 18:50:25 2018  p77 factor: 17881434939286116906005290845928024997562534612043549094809723622096444512601
Mon Jan 29 18:50:25 2018  p121 factor: 1062002214757159097172539850510404685048452573809361284279832082914319803525039974655315341035549161888830809328709443501

That could have been very bad, with only two non-trivial dependencies I think I was very lucky not to have wasted fifty days of compute on my fastest machine.

Log attached and at https://pastebin.com/Vb0xS5vR

[wombatman]

This C156 splits as:

prp55 factor: 8295732368977467911181841822008227714271083778307205563
prp102 factor: 100045087473349034310566129271230310224633732044385686936785662377221720592786388721373937242057914107

Total time was ~13 hours on 4 threads with a density of 120 (130 failed to build).

Log is attached. Pastebin: https://pastebin.com/RWifN4KQ

[pinhodecarlos]

L2755A done.

[fivemack]

Sun Jan 28 07:54:26 2018  p69 factor: 358973162768651352472579278226343736795109332614581231077150119271697
Sun Jan 28 07:54:26 2018  p163 factor: 1357934949033495015202241026069663523860952559562037133280506557122635010743806087759590890608822831118513071376498765721756900948158849148107996154847160895279837

236.9 hours on 7 cores E5-2650v2 for 19.09M density-142 (not 144) matrix.

Log attached and at https://pastebin.com/qMDUK95j

[swellman]

I have successfully factored this composite after Mike transferred his reservation to me.

p70 factor: 4248655750182664359168922106526888708465391857422711248603699816159367
p141 factor: 229113066584064743530400177750348796887207219147714814392510850746154518498330539422401747095048940169489495117022218124469764345699452972187

499162075 raw relations / 389511769 unique

9M matrix.

Log attached.

[pinhodecarlos]

Sean, matrix was 17M.

Reserving 265*(9^265+1).C232, doing this for Paul.