OK, my prejudices were wrong;

[code]
n: 7128360149039274062977936286065067193399002753241614879146717358452822451341395399593821536547721254531403479426890031997079861053249682361463634809511739986354847541601144102179145030773
skew: 0.7405
c5: 20164
c0: 4489
Y0: -9544396591804396261630861312
Y1: 1349256365417755877454657051946796697206085388680241
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
alambda: 2.6
rlambda: 2.6
alim: 240000000
rlim: 240000000
[/code]

sieves at Q=240M with yield ~1.48 and time ~0.52s/rel - much better than the sextic, and competitive with the best GNFS polynomial I have.

(though, after more extensive trial sieving, the yield drops off to ~1.35, time ~0.54, and the GNFS polynomial is 1.52, 0.51)

I have moved the GNFS discussion to the GNFS thread, and am trial-sieving a bunch of polynomials tonight ready for queuing the best tomorrow.

I will run 10240 curves at 3e8 on C256_127_121 starting tomorrow, it should take about six days

( started 26/1/17 0854 )

I will run at least 20480 curves at B1=3e8 on C278_135_128

(first 8000 started 3/2/17 1545)

10240 curves at B1=3e8 complete on C256_127_121, no factor found.

I am on vacation for the next two weeks and probably without Internet access; could someone else do the polynomial setup and trial sieving and push the job onto the appropriate NFS@home queue?

I'll work on generating some polynomials and trial-sieving in YAFU. I'll put what I come up with in this thread so others can evaluate it before it gets submitted to NFS@Home. :smile:

YAFU gives the following SNFS polynomial as the best from trial-sieving:

[CODE]n: 2279019635262178260223610372866161113233537351181247262995589386985378698045180235228538838348697209388279801210996958280092611824762735859504092308376304672536049578066139601245777058442691694530960357274040042752387753146406894539941430545737889457466479
# 127^121+121^127, difficulty: 266.60, anorm: 2.48e+38, rnorm: 5.33e+49
# scaled difficulty: 268.49, suggest sieving rational side
# size = 2.087e-13, alpha = 1.491, combined = 3.768e-14, rroots = 0
type: snfs
size: 266
skew: 1.0081
c6: 121
c0: 127
Y1: -1191446152405248657777607437681912764659201
Y0: 54763699237492901685126120802225273763666521
m: 1662494550986228882566228817664053580038096714821209997934679199277061987019250219666195095292608720990844899512073487570488175183098414434723678817318610879312388031432395464414980456036350664791631044752565052965047488994184947124894919850559221309624285
rlim: 79600000
alim: 79600000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.6
alambda: 2.6[/CODE]

snfspoly gives the same polynomial as Yafu for C256_127_121.

Seems like we've got a poly then. I'll post it in the NFS@Home thread.

Back from vacation.

My work machine got rebooted while I was away, so only 3000 curves were run from that batch (no factor).

10240 more curves started on GPU for C278_135_128, I'll do the rest of the job on GPU

[b]26/2[/b] 10240 curves started on stage 2, 7680 more started on GPU.

20920@3e8 completed on C278_135_128, no factor found.

Starting 25600@3e8 on C277_148_81