20210402, 15:48  #111 
Sep 2009
2,221 Posts 
QUEUED AS f13_227p1
(13^227+1)/48914381958910035231989580698779555090073247829617043348724152238 from the Brent tables: Code:
# Built Thu Apr 1 17:42:30 2021 # Estimated SNFS difficulty 254, GNFS equivalent 182, GNFS difficulty 189, degree 6 n: 149866444191541111571187275352646529659442396337621381068869556147685660685932674011604847188904979561575158660390471762154615051922229174871038584968672849914574606401919281384072069665261 type: snfs c6: 1 c0: 13 # Y0 = 13^38 Y0: 2137210935411428674141543654682486133398329 # Y1 = 1^0 Y1: 1 # msieve rating: skew 1.53, size 2.001e12, alpha 0.570, combined = 1.930e13 rroots = 0 skew: 1.53 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 62 rlambda: 2.6 alambda: 2.6 Test sieving 10k ranges: Code:
Q yield 34M 28801 84M 23800 134M 20419 184M 18222 Chris Last fiddled with by swellman on 20210402 at 19:02 
20210409, 18:48  #112 
Sep 2008
Kansas
3475_{10} Posts 
QUEUED AS 107_127m1
C253 from the MWRB file with OPN weight 6193. Code:
n: 9993465520960693941733243098902563481629449736263846555409259484560543946556655517233466383716178869613960782550325702404645403070553077245613490798447973068208906472496008188344171540513190924876039466976760845419379897502428750582694909896836264295873 # 107^1271, difficulty: 257.73, skewness: 0.46, alpha: 0.00 # cost: 1.49063e+19, est. time: 7098.22 GHz days (not accurate yet!) skew: 0.459 c6: 107 c0: 1 Y1: 1 Y0: 4140562374860211619063098135818149338786107 type: snfs rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 90 rlambda: 2.7 alambda: 3.6 Code:
Q Yield 20M 10472 60M 8685 100M 8265 180M 6451 Last fiddled with by swellman on 20210409 at 20:03 
20210411, 15:40  #113 
Sep 2009
2,221 Posts 
QUEUED AS f17_206p1
(17^206+1)/1004612453170 from the Brent tables: Code:
# Built Thu Apr 8 17:20:28 2021 # Estimated SNFS difficulty 254, GNFS equivalent 184, GNFS difficulty 242, degree 6 n: 29544677012240663064024751955267914884912993513785470029072153019084428298936247256214148245697246633912977846001470386885487079444850854596447112777378759838530018204391116371454387080515735224577361176237607175945720016378397667387528682521 type: snfs c6: 289 c0: 1 # Y0 = 17^34 Y0: 684326450885775034048946719925754910487329 # Y1 = 1^0 Y1: 1 # msieve rating: skew 0.39, size 1.005e12, alpha 1.882, combined = 1.201e13 rroots = 0 skew: 0.389 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 62 rlambda: 2.6 alambda: 2.6 Test sieving 10k ranges: Code:
Q yield 34M 21301 84M 17154 134M 15065 184M 13392 Chris Last fiddled with by swellman on 20210412 at 00:28 
20210414, 10:48  #114 
Just call me Henry
"David"
Sep 2007
Liverpool (GMT/BST)
2^{6}·3·31 Posts 

20210414, 12:31  #115 
Apr 2020
1001000111_{2} Posts 

20210414, 13:53  #116 
Jun 2012
2·3·13·43 Posts 
It is unusual for sure.

20210414, 14:36  #117 
Apr 2020
247_{16} Posts 
Sure, but not for any mathematical reason. If we flip the sign of Y0 or Y1, then we flip the sign of the root, so if we also flip the signs of the odddegree coefficients of the algebraic poly then we still have a pair of polynomials with a common root mod N.

20210414, 15:57  #118 
Sep 2009
2,221 Posts 
In this case all the odddegree coefficients are zero. So it doesn't matter what sign they are.
But I've just made a copy of the .poly with Y1: 1 and it still tests out OK (msieve rates it the same as the one I posted). So I've learnt a but more about how .polys work. Thanks. Chris PS. All the .polys I post will have been checked by msieve before I post them. So they should be OK. 
20210414, 16:25  #119 
Apr 2020
583_{10} Posts 
It scores the same because, to all intents and purposes, it is the same. If the algebraic poly is f (degree d) and the rational poly is g, then a relation is given by a pair (a,b) for which the algebraic norm b^d*f(a/b) and rational norm b*g(a/b) are both smooth with respect to the chosen bounds. If (a,b) gives a relation with the original polys, then (a,b) gives the same relation with the "flipped" polys.
Last fiddled with by charybdis on 20210414 at 16:26 
20210418, 19:11  #120 
Jun 2012
2×3×13×43 Posts 
HCN 7+4_341
QUEUED AS 7p4_341
Code:
n: 292988476875065917548198911454148676652358470183157064178697231549690758644461959854330386341059898684743219636334517493347105733519173090898154693337057930125544248513941294816350966159157 # 7^341+4^341, difficulty: 261.98, anorm: 1.00e+030, rnorm: 2.49e+058 # scaled difficulty: 266.71, suggest sieving rational side # size = 8.712e018, alpha = 0.000, combined = 3.840e014, rroots = 5 type: snfs size: 262 skew: 1.0000 c5: 1 c4: 1 c3: 4 c2: 3 c1: 3 c0: 1 Y1: 727610523382138084983196530617859826801180672 Y0: 24893071176241566168435154243612575047762256202477265 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 91 mfba: 62 rlambda: 3.5 alambda: 2.7 Test sieving with Q in blocks of 2000 on 15e (rational side): Code:
40M 3344 70M 2963 100M 2949 150M 2468 200M 2511 250M 2365 I will enqueue this job by Friday. Please submit your 15e jobs before then so we can feed the BOINC challenge in a timely fashion. Last fiddled with by swellman on 20210424 at 01:43 
20210418, 21:15  #121 
May 2009
Russia, Moscow
2^{2}·673 Posts 
QUEUED AS C175_933436_12578
C175 from 933436:i12578 for 15e_small queue Code:
n: 1608162141168278209382295467468006268509583346944591758865319368604321619067135497083620747561259985671230153079758291015470663588372535833357454238029902765106261464358241361 # norm 5.333368e17 alpha 6.050024 e 1.728e13 rroots 5 skew: 158485453.33 c0: 3390307832335519923357780641181042277222960 c1: 890345416167900383634715121513160812 c2: 23411608074925557846074250834 c3: 364876890931655074040 c4: 759099797467 c5: 876 Y0: 17896378056671130297901485986607861 Y1: 2187093388051559 rlim: 134000000 alim: 134000000 lpbr: 31 lpba: 31 mfbr: 62 mfba: 62 rlambda: 2.6 alambda: 2.6 type: gnfs lss: 0 Last fiddled with by swellman on 20210418 at 22:22 
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