[QUOTE=debrouxl;431933]I have just queued C206_119_97.

C235_119_101 is borderline for 14e. The sextic's coefficients are fantastically large (c6: 10510100501, c0: 23863536599), so I haven't even test-sieved that, and I went with the quintic of more reasonable coefficients
[code]n: 2589310456899832928933301076778669578879120122369630480355405997172253313910033528160466408537532221128911504403237712622758278562537906325833003635581785560347127735770567490072987128252367045976109835671185970738159965132020094283971
deg: 5
c5: 119
c0: 104060401
Y1: 12571630183484301672314008717756984377273532301
Y0: -324294234694341316421188266002423799213601
type: snfs
skew: 15.4293527015567
rlim: 134217727
alim: 134217727
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6[/code]
but that is below 1 rel/q and around 0.4 s/rel on this computer. That's better than the two XYYXF tasks recently steered at 15e instead, and 14e/32 could probably do it. What do other grid sheepherders think ?

I'll preprocess C197_118_105 and the 4 HCN later.[/QUOTE]

Lionel - try this poly. The yield is 1.1 rel/q and the speed seems better on my i5 laptop (0.26 sec/rel with 4 threads).

[code]
n: 2589310456899832928933301076778669578879120122369630480355405997172253313910033528160466408537532221128911504403237712622758278562537906325833003635581785560347127735770567490072987128252367045976109835671185970738159965132020094283971
# 119^101+101^119, difficulty: 240.52, anorm: 2.19e+032, rnorm: 4.96e+053
# scaled difficulty: 248.16, suggest sieving rational side
type: snfs
size: 240
skew: 6.5460
c5: 1
c0: 12019
Y1: -324294234694341316421188266002423799213601
Y0: 1269734648531914468903714880493455422104626762401
rlim: 44000000
alim: 44000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
[/code]

104060401 is 101^4. So it would be possible to create a poly for C235_119_101 with smaller coefficients. Eg: [code]
# (101^119+119^101)/12620
n: 2589310456899832928933301076778669578879120122369630480355405997172253313910033528160466408537532221128911504403237712622758278562537906325833003635581785560347127735770567490072987128252367045976109835671185970738159965132020094283971
c5: 1
# c0 = 101*119
c0: 12019
# Y0 = 101^24
Y0: 1269734648531914468903714880493455422104626762401
# Y1 = 119^20
Y1: -324294234694341316421188266002423799213601
type: snfs
[/code]I've checked it would work, but not trial sieved it. And it should be able to produce a sextic with reasonable coefficients as well.

Chris

Edit: Crossposted with swellman.

Edit2: A usable sectic would be: [code]
# (101^119+119^101)/12620
n: 2589310456899832928933301076778669578879120122369630480355405997172253313910033528160466408537532221128911504403237712622758278562537906325833003635581785560347127735770567490072987128252367045976109835671185970738159965132020094283971
c6: 119
c0: 101
# Y0 = 101^20
Y0: 12201900399479668244827490915525641902001
# Y1 = 119^20
Y1: -192441327313530246357280390753883639
type: snfs
[/code]

These polynomials are better indeed, they move the number in 14e territory :smile:
I used snfspoly, as usual (and especially due to lack of time this morning, I didn't try to do the math by myself for once), but it looks like it did a poor job here...

These two polynomials need to be test-sieved on wider / more ranges than my quick test in a hurry tonight. On a 1K range at rlim/2 = alim/2, the yield and speed are close enough to be in the error margin, though they seem to favor the sextic, as expected in the SNFS difficulty 24x range.

These two need a polynomial, but are otherwise ready.

C153 from [URL="http://www.factordb.com/index.php?id=1100000000438761060"]P160+1[/URL]

[URL="http://www.factordb.com/index.php?id=1100000000441564706"]P160[/URL] is the largest factor of [URL="http://www.factordb.com/index.php?query=%2871911479022661216421598074130387207691804849810159141663536660079921816910394739913391^3-1%29%2F71911479022661216421598074130387207691804849810159141663536660079921816910394739913390"]P86^3-1[/URL]
[URL="http://www.factordb.com/index.php?id=1100000000438455250"]P86[/URL] is the largest factor of [URL="http://www.factordb.com/index.php?id=1100000000438447788"]741551725043568085912419610455646341817013^7-1[/URL]
741551725043568085912419610455646341817013 is the largest factor of [URL="http://www.factordb.com/index.php?id=1100000000438392475"]72211650019^11-1[/URL]
72211650019 is the largest factor of [URL="http://www.factordb.com/index.php?query=%2881750272028928231^3-1%29%2F81750272028928230"]81750272028928231^3-1[/URL]
81750272028928231 is the largest factor of [URL="http://www.factordb.com/index.php?query=%28911^7-1%29%2F910"]911^7-1[/URL]

----------------------------------

C154 from [URL="http://www.factordb.com/index.php?id=1100000000441460980"]P159+1[/URL]
[URL="http://www.factordb.com/index.php?id=1100000000441190715"]P159[/URL] is the largest factor of [URL="http://www.factordb.com/index.php?id=1100000000441189270"]259002593759906056077166083889311770758701617213^5-1[/URL]
259002593759906056077166083889311770758701617213 is the largest factor of [URL="http://www.factordb.com/index.php?id=1100000000438425347"]99544270401529168129^7-1[/URL]
99544270401529168129 is the largest factor of [URL="http://www.factordb.com/index.php?query=%281974702993887119^3-1%29%2F1974702993887118"]1974702993887119^3-1[/URL]
1974702993887119 is the largest factor of [URL="http://www.factordb.com/index.php?query=%2831045189810031713^3-1%29%2F31045189810031712"]31045189810031713^3-1[/URL]
31045189810031713 is the largest factor of [URL="http://www.factordb.com/index.php?id=1100000000835176529"]217081^7-1[/URL]
217081 is the largest factor of [URL="http://www.factordb.com/index.php?query=%28861001^3-1%29%2F861000"]861001^3-1[/URL]
861001 is the largest factor of [URL="http://www.factordb.com/index.php?query=%28830833^3-1%29%2F830832"]830833^3-1[/URL]
830833 is the entire value of [URL="http://www.factordb.com/index.php?query=%28911^3-1%29%2F910"]911^3-1[/URL]

I have just queued C235_119_101, C197_118_105 and 11_239_plus_4_239.

For C197_118_105, the 118^3*(118^17)^6 + 105^4*(105^19)^6 sextic has horrible coefficients, whereas the 1*(118^21)^5 + 105^3*(105^23)^5 quintic is usable. yafu 1.34 agrees and proposes that quintic, and the yield and speed are close to those of C235_119_101 with the saner polys.

Lionel-

There is a [url=http://www.factordb.com/index.php?id=1100000000832091831]stub for xyyx composite C159_146_84[/url]. Yoyo@Home has ECM'd it to almost t50.

VBCurtis found a decent poly:

[code]
N 950328290413671355832575602599798508308681747290035671816486761667336370634798034484024815445558221476314426844254931711417077583915795975994604956673854491657
SKEW 2419948.99
R0 -5005864024199816124091600719896
R1 14261810320257901
A0 267108673982868293657589078412885245
A1 3751976524416256984363581579048
A2 -75097304633030744310500956
A3 60277936748374519495
A4 10785823052742
A5 302328
#skew 2419948.99, size 1.855e-15, alpha -6.937, combined = 1.574e-12 rroots = 5
[/code]

For you consideration.

Stockpile
 

Below is a list of the 30 remaining xyyx composites which need no additional ECM. Suggested polys are attached. All are 30 bit jobs. Hoping these will help with the upcoming pentathlon.

[code]
C192_130_49
C192_125_58
C182_124_110
C172_124_114
C200_127_55
C179_125_59
C173_136_43
C191_134_45
C218_137_42
C202_138_41
C212_121_69
C187_125_61
C171_133_48
C182_130_53
C214_121_71
C185_131_51
C215_134_74
C191_129_59
C192_139_44
C193_131_55
C204_135_49
C187_126_65
C213_132_53
C202_134_51
C200_134_76
C211_122_75
C191_146_46
C190_125_68
C191_138_62
C194_132_86
[/code]

These are ready

[URL="http://factordb.com/index.php?id=1100000000438450629"]P50^5-1[/URL] quartic

[URL="http://factordb.com/index.php?id=1100000000126725885"]P50[/URL] is the larger factor of [URL="http://factordb.com/index.php?query=%28164448693036853073247991157^3-1%29%2F164448693036853073247991156"]164448693036853073247991157^3-1[/URL]
164448693036853073247991157 is the largest factor of [URL="http://factordb.com/index.php?id=1100000000746540139"]109522829562544146783162110561+1[/URL]
109522829562544146783162110561is the largest factor of [URL="http://factordb.com/index.php?id=1100000000438423851"]55837223596838794957331299^5-1[/URL]
55837223596838794957331299 is the largest factor of [URL="http://factordb.com/index.php?query=%281074666521961382602401^3-1%29%2F1074666521961382602400"]1074666521961382602401^3-1[/URL]
1074666521961382602401 is the largest factor of [URL="http://factordb.com/index.php?id=1100000000835686726"]329422297^5-1[/URL]
329422297 is the largest factor of [URL="http://factordb.com/index.php?id=1100000000309135391"]4733^7-1[/URL]

------------------

[URL="http://factordb.com/index.php?id=1100000000438762131"]P49^5-1[/URL] quartic

[URL="http://factordb.com/index.php?id=1100000000127129692"]P49[/URL] is the largest factor of [URL="http://factordb.com/index.php?id=1100000000835686781"]P51+1[/URL]
[URL="http://factordb.com/index.php?id=1100000000127086244"]P51[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%2890915513688958652013725504030375323774821896443483^3-1%29%2F90915513688958652013725504030375323774821896443482"]P50^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000126555764"]P50[/URL] is the largest factor of [URL="http://factordb.com/index.php?id=1100000000423596011"]14009^43-1[/URL]

-----------------

[URL="http://factordb.com/index.php?query=%2847^161-1%29%2F%2847^23-1%29"](47^161-1)/(47^23-1)[/URL] (sextic)

---------------

The C162 from [URL="http://factordb.com/index.php?id=1100000000438761481"]P202+1[/URL] needs a GNFS polynomial

[URL="http://factordb.com/index.php?id=1100000000441452239"]P202[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%285924228995545716234315279332191545659436430237320391373854122233830568483156411005706484115204430256900289656276872777^3-1%29%2F5924228995545716234315279332191545659436430237320391373854122233830568483156411005706484115204430256900289656276872776"]P118^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000127277631"]P118[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%281231286362366670025059554891942958444066830008901067937056681776424241143159^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000126217552"]P76[/URL] is the largest factor of [URL="http://factordb.com/index.php?id=1100000000438400847"]3372531985651^11-1[/URL]
3372531985651 is the largest factor of [URL="http://factordb.com/index.php?query=%28189343400041^3-1%29%2F189343400040"]189343400041^3-1[/URL]
189343400041 is the largest factor of [URL="http://factordb.com/index.php?id=1100000000218135755"]31^29-1[/URL]

---------------------------

The C167 from [URL="http://factordb.com/index.php?id=1100000000685534719"]P242+1[/URL] needs a GNFS polynomial

[URL="http://factordb.com/index.php?id=1100000000685451519"]P242[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%2844550330960291663829924777272495925825638281912281293551314612816485914766784244724290522765044842209754449533686470503867137432590047860949474256794363^3-1%29%2F44550330960291663829924777272495925825638281912281293551314612816485914766784244724290522765044842209754449533686470503867137432590047860949474256794362"]P152^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000441865175"]P152[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%28547746768778653949549690357897119065978332767044494152178202525663084823066937170450918021857^3-1%29%2F547746768778653949549690357897119065978332767044494152178202525663084823066937170450918021856"]P93^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000438536911"]P93[/URL] is the largest factor of [URL="http://factordb.com/index.php?id=1100000000438536909"]10465170479478397824116797^7[/URL]
10465170479478397824116797 is the largest factor of [URL="http://factordb.com/index.php?query=%287222605228105536202757606969^3-1%29%2F7222605228105536202757606968"]7222605228105536202757606969^3-1[/URL]
7222605228105536202757606969 is the largest factor of [URL="http://factordb.com/index.php?id=1000000000043578097"]7^73-1[/URL]

----------------------------------

3511^71-1

-----------------------------------

227^125-1 (big quartic)

-----------------------------------

[QUOTE=debrouxl;432054] For C197_118_105, the 118^3*(118^17)^6 + 105^4*(105^19)^6 sextic has horrible coefficients. [/QUOTE]

Try this sextic: [code]
# (105^118+118^105)/506948175529416905298198917552529542461171
n: 62427181251216541002002176801616870667680075017874727589046048375220047963066436190781097950303655604115239919796136408578485728671686399549715016292669646624953027363684233423760752061125673051083
# c0 = 118^3
c0: 1643032
# c6 = 105^2
c6: 11025
# Y0 = 118^18
Y0: 19673250936660415417029531820024397824
# Y1 = 105^20
Y1: -26532977051444201339454307651519775390625
type: snfs
[/code]
It's always possible to make a poly with coefficients X and Y to a power no more than degree/2. But this only reduces 105^4 to 105^2 at the price of increasing SNFS difficulty because I had to move 118^3 from c6 to c0.

Chris

[QUOTE=wblipp;432012]C153 from [URL="http://www.factordb.com/index.php?id=1100000000438761060"]P160+1[/URL][/QUOTE]

Two to choose from:
[CODE]N: 547304146055424376019438229114722123411557598660437331520908829698240854583535915727120677487556327517181076441855747441119749879819410899721271542339773
# expecting poly E from 3.46e-12 to > 3.98e-12
R0: -311543931178277964856984674541
R1: 99493249668749
A0: -3441291541795093369885075177511934312
A1: 1413748949563997703211196162160
A2: 4676498593429740815490066
A3: -2673706525624074715
A4: -1152600769262
A5: 186480
# skew 2311344.97, size 7.553e-15, alpha -6.696, combined = 3.764e-12 rroots = 3[/CODE]

[CODE]N: 547304146055424376019438229114722123411557598660437331520908829698240854583535915727120677487556327517181076441855747441119749879819410899721271542339773
# expecting poly E from 3.46e-12 to > 3.98e-12
R0: -252792599686835540622402195386
R1: 46737015000551
A0: -10789392542346259143315655435773713955
A1: 63757031999636138718203486647155
A2: 12485858022118264825123121
A3: -12473147884682132291
A4: -1510359435502
A5: 530160
# skew 3165226.91, size 7.498e-15, alpha -7.585, combined = 3.683e-12 rroots = 3[/CODE]

[QUOTE=wblipp;432012]C154 from [URL="http://www.factordb.com/index.php?id=1100000000441460980"]P159+1[/URL][/QUOTE]
A pretty good polynomial.
[CODE]N: 2522307487672037680093292821718856915147042456391580334755074350941494247522322109243435115854528991350768307899683200724825969502610855709121137375805723
# expecting poly E from 3.16e-12 to > 3.63e-12
R0: -795453083840817480402727009109
R1: 47832050771999
A0: 7978801607382516488215671294652731000
A1: 307621010921458639435516900400420
A2: 116657884644772860039184612
A3: -3088368232817129629
A4: -543000568716
A5: 7920
# skew 13340932.15, size 6.341e-15, alpha -7.707, combined = 3.328e-12 rroots = 5[/CODE]