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Nov 5th, 2018
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  1. Mon Nov 05 12:02:42 2018
  2. Mon Nov 05 12:02:42 2018
  3. Mon Nov 05 12:02:42 2018 Msieve v. 1.54 (SVN 1018)
  4. Mon Nov 05 12:02:42 2018 random seeds: 2c00b180 caf31916
  5. Mon Nov 05 12:02:42 2018 factoring 31883970749628747827314743378813682679804702869730452614329545818724779236589480090230576844363990928298294483569073821990679883896136255577533496381293331520163303806520660058599672988727149130675904480579132341 (212 digits)
  6. Mon Nov 05 12:02:43 2018 searching for 15-digit factors
  7. Mon Nov 05 12:02:44 2018 commencing number field sieve (212-digit input)
  8. Mon Nov 05 12:02:44 2018 R0: 6070550503500811635081460618505358241
  9. Mon Nov 05 12:02:44 2018 R1: -1
  10. Mon Nov 05 12:02:44 2018 A0: -39619
  11. Mon Nov 05 12:02:44 2018 A1: 0
  12. Mon Nov 05 12:02:44 2018 A2: 0
  13. Mon Nov 05 12:02:44 2018 A3: 0
  14. Mon Nov 05 12:02:44 2018 A4: 0
  15. Mon Nov 05 12:02:44 2018 A5: 0
  16. Mon Nov 05 12:02:44 2018 A6: 1
  17. Mon Nov 05 12:02:44 2018 skew 5.84, size 4.625e-011, alpha -0.638, combined = 1.941e-012 rroots = 2
  18. Mon Nov 05 12:02:44 2018
  19. Mon Nov 05 12:02:44 2018 commencing relation filtering
  20. Mon Nov 05 12:02:44 2018 setting target matrix density to 120.0
  21. Mon Nov 05 12:02:44 2018 estimated available RAM is 16335.3 MB
  22. Mon Nov 05 12:02:44 2018 commencing duplicate removal, pass 1
  23. Mon Nov 05 12:05:42 2018 error -15 reading relation 20412587
  24. Mon Nov 05 12:07:44 2018 error -15 reading relation 34518294
  25. Mon Nov 05 12:07:51 2018 error -9 reading relation 35380588
  26. Mon Nov 05 12:08:08 2018 error -9 reading relation 37338954
  27. Mon Nov 05 12:08:24 2018 error -15 reading relation 39199726
  28. Mon Nov 05 12:08:37 2018 error -1 reading relation 40744223
  29. Mon Nov 05 12:08:43 2018 error -9 reading relation 41399589
  30. Mon Nov 05 12:08:51 2018 error -5 reading relation 42264245
  31. Mon Nov 05 12:08:53 2018 error -5 reading relation 42505263
  32. Mon Nov 05 12:08:54 2018 error -9 reading relation 42627291
  33. Mon Nov 05 12:08:56 2018 error -9 reading relation 42866232
  34. Mon Nov 05 12:08:56 2018 error -15 reading relation 42872163
  35. Mon Nov 05 12:09:11 2018 error -15 reading relation 44606794
  36. Mon Nov 05 12:09:12 2018 error -9 reading relation 44755702
  37. Mon Nov 05 12:09:15 2018 error -15 reading relation 45132847
  38. Mon Nov 05 12:09:23 2018 error -5 reading relation 45988011
  39. Mon Nov 05 12:09:29 2018 error -15 reading relation 46782014
  40. Mon Nov 05 12:09:29 2018 error -9 reading relation 46788484
  41. Mon Nov 05 12:09:36 2018 error -15 reading relation 47557352
  42. Mon Nov 05 12:09:51 2018 error -9 reading relation 49259843
  43. Mon Nov 05 12:10:00 2018 error -15 reading relation 50244055
  44. Mon Nov 05 12:10:00 2018 error -9 reading relation 50257245
  45. Mon Nov 05 12:10:04 2018 error -9 reading relation 50674690
  46. Mon Nov 05 12:10:26 2018 error -1 reading relation 53212047
  47. Mon Nov 05 12:10:31 2018 error -9 reading relation 53767455
  48. Mon Nov 05 12:10:40 2018 error -9 reading relation 54730747
  49. Mon Nov 05 12:10:49 2018 error -9 reading relation 55831684
  50. Mon Nov 05 12:10:49 2018 error -15 reading relation 55840472
  51. Mon Nov 05 12:10:50 2018 error -15 reading relation 55870494
  52. Mon Nov 05 12:10:56 2018 error -15 reading relation 56592888
  53. Mon Nov 05 12:10:57 2018 error -9 reading relation 56715513
  54. Mon Nov 05 12:11:01 2018 error -9 reading relation 57101139
  55. Mon Nov 05 12:11:02 2018 error -15 reading relation 57226234
  56. Mon Nov 05 12:11:02 2018 error -9 reading relation 57279700
  57. Mon Nov 05 12:11:05 2018 error -15 reading relation 57550909
  58. Mon Nov 05 12:11:05 2018 error -9 reading relation 57575156
  59. Mon Nov 05 12:11:07 2018 error -9 reading relation 57821730
  60. Mon Nov 05 12:11:11 2018 error -15 reading relation 58219375
  61. Mon Nov 05 12:11:14 2018 error -15 reading relation 58521219
  62. Mon Nov 05 12:11:14 2018 error -9 reading relation 58521889
  63. Mon Nov 05 12:11:15 2018 error -15 reading relation 58616845
  64. Mon Nov 05 12:11:15 2018 error -9 reading relation 58620388
  65. Mon Nov 05 12:11:16 2018 error -1 reading relation 58807184
  66. Mon Nov 05 12:11:18 2018 error -1 reading relation 59013426
  67. Mon Nov 05 12:11:21 2018 error -9 reading relation 59409712
  68. Mon Nov 05 12:11:21 2018 error -15 reading relation 59410843
  69. Mon Nov 05 12:11:21 2018 error -15 reading relation 59415757
  70. Mon Nov 05 12:11:24 2018 error -15 reading relation 59748866
  71. Mon Nov 05 12:11:26 2018 error -9 reading relation 59875922
  72. Mon Nov 05 12:11:28 2018 error -5 reading relation 60199623
  73. Mon Nov 05 12:11:28 2018 error -9 reading relation 60206593
  74. Mon Nov 05 12:11:32 2018 error -15 reading relation 60621540
  75. Mon Nov 05 12:11:32 2018 error -1 reading relation 60658569
  76. Mon Nov 05 12:11:32 2018 error -15 reading relation 60659145
  77. Mon Nov 05 12:11:34 2018 error -9 reading relation 60868254
  78. Mon Nov 05 12:11:34 2018 error -9 reading relation 60868790
  79. Mon Nov 05 12:11:37 2018 error -1 reading relation 61180425
  80. Mon Nov 05 12:11:37 2018 error -9 reading relation 61185952
  81. Mon Nov 05 12:11:37 2018 error -5 reading relation 61222826
  82. Mon Nov 05 12:11:38 2018 error -1 reading relation 61381814
  83. Mon Nov 05 12:11:39 2018 error -9 reading relation 61405382
  84. Mon Nov 05 12:11:39 2018 error -9 reading relation 61407731
  85. Mon Nov 05 12:11:39 2018 error -15 reading relation 61409531
  86. Mon Nov 05 12:11:43 2018 error -15 reading relation 61939062
  87. Mon Nov 05 12:11:48 2018 error -9 reading relation 62450198
  88. Mon Nov 05 12:11:48 2018 error -15 reading relation 62454357
  89. Mon Nov 05 12:11:52 2018 error -9 reading relation 62907522
  90. Mon Nov 05 12:11:56 2018 error -15 reading relation 63465540
  91. Mon Nov 05 12:11:59 2018 error -9 reading relation 63787760
  92. Mon Nov 05 12:12:01 2018 error -1 reading relation 63918461
  93. Mon Nov 05 12:12:01 2018 error -9 reading relation 64019036
  94. Mon Nov 05 12:12:02 2018 error -9 reading relation 64117944
  95. Mon Nov 05 12:12:02 2018 error -1 reading relation 64119372
  96. Mon Nov 05 12:12:05 2018 error -9 reading relation 64399909
  97. Mon Nov 05 12:12:06 2018 error -9 reading relation 64596255
  98. Mon Nov 05 12:12:10 2018 error -9 reading relation 65072610
  99. Mon Nov 05 12:12:10 2018 error -9 reading relation 65073075
  100. Mon Nov 05 12:12:15 2018 error -9 reading relation 65622434
  101. Mon Nov 05 12:12:16 2018 error -9 reading relation 65665416
  102. Mon Nov 05 12:12:16 2018 error -5 reading relation 65738957
  103. Mon Nov 05 12:12:18 2018 error -1 reading relation 65966321
  104. Mon Nov 05 12:12:18 2018 error -1 reading relation 65978709
  105. Mon Nov 05 12:12:18 2018 error -5 reading relation 65998158
  106. Mon Nov 05 12:12:18 2018 error -1 reading relation 66001199
  107. Mon Nov 05 12:12:19 2018 error -1 reading relation 66117135
  108. Mon Nov 05 12:12:24 2018 error -9 reading relation 66635520
  109. Mon Nov 05 12:12:24 2018 error -5 reading relation 66658127
  110. Mon Nov 05 12:12:26 2018 error -15 reading relation 66905443
  111. Mon Nov 05 12:12:26 2018 error -9 reading relation 66905624
  112. Mon Nov 05 12:12:26 2018 error -15 reading relation 66920589
  113. Mon Nov 05 12:12:29 2018 error -9 reading relation 67197514
  114. Mon Nov 05 12:12:29 2018 error -9 reading relation 67263643
  115. Mon Nov 05 12:12:29 2018 error -9 reading relation 67264369
  116. Mon Nov 05 12:12:29 2018 error -9 reading relation 67279202
  117. Mon Nov 05 12:12:30 2018 error -15 reading relation 67378459
  118. Mon Nov 05 12:12:31 2018 error -1 reading relation 67436529
  119. Mon Nov 05 12:12:31 2018 error -9 reading relation 67454487
  120. Mon Nov 05 12:12:31 2018 error -9 reading relation 67460275
  121. Mon Nov 05 12:12:32 2018 error -15 reading relation 67553023
  122. Mon Nov 05 12:12:33 2018 error -9 reading relation 67629476
  123. Mon Nov 05 12:12:33 2018 error -9 reading relation 67656659
  124. Mon Nov 05 12:12:33 2018 error -9 reading relation 67685218
  125. Mon Nov 05 12:12:33 2018 error -15 reading relation 67717793
  126. Mon Nov 05 12:12:33 2018 error -9 reading relation 67733042
  127. Mon Nov 05 12:12:34 2018 error -15 reading relation 67752709
  128. Mon Nov 05 12:12:34 2018 error -9 reading relation 67822844
  129. Mon Nov 05 12:12:35 2018 error -1 reading relation 67916163
  130. Mon Nov 05 12:12:35 2018 error -9 reading relation 67934048
  131. Mon Nov 05 12:12:35 2018 error -9 reading relation 67956945
  132. Mon Nov 05 12:12:35 2018 error -9 reading relation 67975112
  133. Mon Nov 05 12:12:37 2018 skipped 1 relations with b > 2^32
  134. Mon Nov 05 12:12:37 2018 skipped 71 relations with composite factors
  135. Mon Nov 05 12:12:37 2018 found 13150357 hash collisions in 68115747 relations
  136. Mon Nov 05 12:13:28 2018 added 1219785 free relations
  137. Mon Nov 05 12:13:28 2018 commencing duplicate removal, pass 2
  138. Mon Nov 05 12:14:04 2018 found 12417400 duplicates and 56918132 unique relations
  139. Mon Nov 05 12:14:04 2018 memory use: 330.4 MB
  140. Mon Nov 05 12:14:04 2018 reading ideals above 720000
  141. Mon Nov 05 12:14:04 2018 commencing singleton removal, initial pass
  142. Mon Nov 05 12:22:25 2018 memory use: 1378.0 MB
  143. Mon Nov 05 12:22:25 2018 reading all ideals from disk
  144. Mon Nov 05 12:22:26 2018 memory use: 2082.9 MB
  145. Mon Nov 05 12:22:30 2018 keeping 49468110 ideals with weight <= 200, target excess is 294990
  146. Mon Nov 05 12:22:35 2018 commencing in-memory singleton removal
  147. Mon Nov 05 12:22:40 2018 begin with 56918132 relations and 49468110 unique ideals
  148. Mon Nov 05 12:23:18 2018 reduce to 42423939 relations and 33864281 ideals in 11 passes
  149. Mon Nov 05 12:23:18 2018 max relations containing the same ideal: 173
  150. Mon Nov 05 12:23:34 2018 removing 4167312 relations and 3167312 ideals in 1000000 cliques
  151. Mon Nov 05 12:23:35 2018 commencing in-memory singleton removal
  152. Mon Nov 05 12:23:38 2018 begin with 38256627 relations and 33864281 unique ideals
  153. Mon Nov 05 12:23:58 2018 reduce to 37853736 relations and 30281488 ideals in 7 passes
  154. Mon Nov 05 12:23:58 2018 max relations containing the same ideal: 160
  155. Mon Nov 05 12:24:12 2018 removing 3401028 relations and 2401028 ideals in 1000000 cliques
  156. Mon Nov 05 12:24:13 2018 commencing in-memory singleton removal
  157. Mon Nov 05 12:24:16 2018 begin with 34452708 relations and 30281488 unique ideals
  158. Mon Nov 05 12:24:34 2018 reduce to 34186715 relations and 27607250 ideals in 7 passes
  159. Mon Nov 05 12:24:34 2018 max relations containing the same ideal: 150
  160. Mon Nov 05 12:24:46 2018 removing 3162269 relations and 2162269 ideals in 1000000 cliques
  161. Mon Nov 05 12:24:47 2018 commencing in-memory singleton removal
  162. Mon Nov 05 12:24:50 2018 begin with 31024446 relations and 27607250 unique ideals
  163. Mon Nov 05 12:25:06 2018 reduce to 30785540 relations and 25199180 ideals in 7 passes
  164. Mon Nov 05 12:25:06 2018 max relations containing the same ideal: 145
  165. Mon Nov 05 12:25:17 2018 removing 3052989 relations and 2052989 ideals in 1000000 cliques
  166. Mon Nov 05 12:25:18 2018 commencing in-memory singleton removal
  167. Mon Nov 05 12:25:20 2018 begin with 27732551 relations and 25199180 unique ideals
  168. Mon Nov 05 12:25:32 2018 reduce to 27496760 relations and 22903309 ideals in 6 passes
  169. Mon Nov 05 12:25:32 2018 max relations containing the same ideal: 130
  170. Mon Nov 05 12:25:43 2018 removing 2992308 relations and 1992308 ideals in 1000000 cliques
  171. Mon Nov 05 12:25:44 2018 commencing in-memory singleton removal
  172. Mon Nov 05 12:25:45 2018 begin with 24504452 relations and 22903309 unique ideals
  173. Mon Nov 05 12:25:58 2018 reduce to 24261726 relations and 20660257 ideals in 7 passes
  174. Mon Nov 05 12:25:58 2018 max relations containing the same ideal: 118
  175. Mon Nov 05 12:26:07 2018 removing 2961348 relations and 1961348 ideals in 1000000 cliques
  176. Mon Nov 05 12:26:08 2018 commencing in-memory singleton removal
  177. Mon Nov 05 12:26:09 2018 begin with 21300378 relations and 20660257 unique ideals
  178. Mon Nov 05 12:26:20 2018 reduce to 21038798 relations and 18427862 ideals in 7 passes
  179. Mon Nov 05 12:26:20 2018 max relations containing the same ideal: 111
  180. Mon Nov 05 12:26:28 2018 removing 2949440 relations and 1949440 ideals in 1000000 cliques
  181. Mon Nov 05 12:26:28 2018 commencing in-memory singleton removal
  182. Mon Nov 05 12:26:30 2018 begin with 18089358 relations and 18427862 unique ideals
  183. Mon Nov 05 12:26:38 2018 reduce to 17798541 relations and 16175590 ideals in 7 passes
  184. Mon Nov 05 12:26:38 2018 max relations containing the same ideal: 99
  185. Mon Nov 05 12:26:45 2018 removing 2951307 relations and 1951307 ideals in 1000000 cliques
  186. Mon Nov 05 12:26:46 2018 commencing in-memory singleton removal
  187. Mon Nov 05 12:26:47 2018 begin with 14847234 relations and 16175590 unique ideals
  188. Mon Nov 05 12:26:54 2018 reduce to 14504430 relations and 13864807 ideals in 7 passes
  189. Mon Nov 05 12:26:54 2018 max relations containing the same ideal: 86
  190. Mon Nov 05 12:27:00 2018 removing 1121707 relations and 824273 ideals in 297434 cliques
  191. Mon Nov 05 12:27:00 2018 commencing in-memory singleton removal
  192. Mon Nov 05 12:27:01 2018 begin with 13382723 relations and 13864807 unique ideals
  193. Mon Nov 05 12:27:07 2018 reduce to 13315279 relations and 12971845 ideals in 7 passes
  194. Mon Nov 05 12:27:07 2018 max relations containing the same ideal: 80
  195. Mon Nov 05 12:27:14 2018 relations with 0 large ideals: 11216
  196. Mon Nov 05 12:27:14 2018 relations with 1 large ideals: 3601
  197. Mon Nov 05 12:27:14 2018 relations with 2 large ideals: 46250
  198. Mon Nov 05 12:27:14 2018 relations with 3 large ideals: 316561
  199. Mon Nov 05 12:27:14 2018 relations with 4 large ideals: 1178571
  200. Mon Nov 05 12:27:14 2018 relations with 5 large ideals: 2610531
  201. Mon Nov 05 12:27:14 2018 relations with 6 large ideals: 3578032
  202. Mon Nov 05 12:27:14 2018 relations with 7+ large ideals: 5570517
  203. Mon Nov 05 12:27:14 2018 commencing 2-way merge
  204. Mon Nov 05 12:27:21 2018 reduce to 9221703 relation sets and 8878269 unique ideals
  205. Mon Nov 05 12:27:21 2018 commencing full merge
  206. Mon Nov 05 12:30:46 2018 memory use: 1188.7 MB
  207. Mon Nov 05 12:30:47 2018 found 4078929 cycles, need 4068469
  208. Mon Nov 05 12:30:47 2018 weight of 4068469 cycles is about 488541343 (120.08/cycle)
  209. Mon Nov 05 12:30:47 2018 distribution of cycle lengths:
  210. Mon Nov 05 12:30:47 2018 1 relations: 122651
  211. Mon Nov 05 12:30:47 2018 2 relations: 214032
  212. Mon Nov 05 12:30:47 2018 3 relations: 270122
  213. Mon Nov 05 12:30:47 2018 4 relations: 287129
  214. Mon Nov 05 12:30:47 2018 5 relations: 300211
  215. Mon Nov 05 12:30:47 2018 6 relations: 300008
  216. Mon Nov 05 12:30:47 2018 7 relations: 295082
  217. Mon Nov 05 12:30:47 2018 8 relations: 284063
  218. Mon Nov 05 12:30:47 2018 9 relations: 269110
  219. Mon Nov 05 12:30:47 2018 10+ relations: 1726061
  220. Mon Nov 05 12:30:47 2018 heaviest cycle: 28 relations
  221. Mon Nov 05 12:30:48 2018 commencing cycle optimization
  222. Mon Nov 05 12:30:54 2018 start with 37714219 relations
  223. Mon Nov 05 12:32:29 2018 pruned 1982359 relations
  224. Mon Nov 05 12:32:29 2018 memory use: 943.3 MB
  225. Mon Nov 05 12:32:29 2018 distribution of cycle lengths:
  226. Mon Nov 05 12:32:29 2018 1 relations: 122651
  227. Mon Nov 05 12:32:29 2018 2 relations: 219877
  228. Mon Nov 05 12:32:29 2018 3 relations: 282841
  229. Mon Nov 05 12:32:29 2018 4 relations: 301114
  230. Mon Nov 05 12:32:29 2018 5 relations: 317042
  231. Mon Nov 05 12:32:29 2018 6 relations: 317117
  232. Mon Nov 05 12:32:29 2018 7 relations: 313272
  233. Mon Nov 05 12:32:29 2018 8 relations: 300516
  234. Mon Nov 05 12:32:29 2018 9 relations: 283632
  235. Mon Nov 05 12:32:29 2018 10+ relations: 1610407
  236. Mon Nov 05 12:32:29 2018 heaviest cycle: 28 relations
  237. Mon Nov 05 12:32:33 2018 RelProcTime: 1789
  238. Mon Nov 05 12:32:33 2018
  239. Mon Nov 05 12:32:33 2018 commencing linear algebra
  240. Mon Nov 05 12:32:34 2018 read 4068469 cycles
  241. Mon Nov 05 12:32:43 2018 cycles contain 13146055 unique relations
  242. Mon Nov 05 12:34:26 2018 read 13146055 relations
  243. Mon Nov 05 12:34:46 2018 using 20 quadratic characters above 4294917295
  244. Mon Nov 05 12:35:42 2018 building initial matrix
  245. Mon Nov 05 12:38:22 2018 memory use: 1687.9 MB
  246. Mon Nov 05 12:38:25 2018 read 4068469 cycles
  247. Mon Nov 05 12:38:26 2018 matrix is 4068282 x 4068469 (1891.1 MB) with weight 558479410 (137.27/col)
  248. Mon Nov 05 12:38:26 2018 sparse part has weight 450983385 (110.85/col)
  249. Mon Nov 05 12:39:13 2018 filtering completed in 2 passes
  250. Mon Nov 05 12:39:13 2018 matrix is 4068246 x 4068433 (1891.1 MB) with weight 558478020 (137.27/col)
  251. Mon Nov 05 12:39:13 2018 sparse part has weight 450982944 (110.85/col)
  252. Mon Nov 05 12:39:24 2018 matrix starts at (0, 0)
  253. Mon Nov 05 12:39:25 2018 matrix is 4068246 x 4068433 (1891.1 MB) with weight 558478020 (137.27/col)
  254. Mon Nov 05 12:39:25 2018 sparse part has weight 450982944 (110.85/col)
  255. Mon Nov 05 12:39:25 2018 saving the first 48 matrix rows for later
  256. Mon Nov 05 12:39:26 2018 matrix includes 64 packed rows
  257. Mon Nov 05 12:39:26 2018 matrix is 4068198 x 4068433 (1825.6 MB) with weight 479075758 (117.75/col)
  258. Mon Nov 05 12:39:26 2018 sparse part has weight 437895863 (107.63/col)
  259. Mon Nov 05 12:39:26 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  260. Mon Nov 05 12:39:48 2018 commencing Lanczos iteration (8 threads)
  261. Mon Nov 05 12:39:48 2018 memory use: 1527.6 MB
  262. Mon Nov 05 12:40:04 2018 linear algebra at 0.0%, ETA 11h 9m
  263. Mon Nov 05 12:40:09 2018 checkpointing every 370000 dimensions
  264. Tue Nov 06 00:11:47 2018 lanczos halted after 64337 iterations (dim = 4068191)
  265. Tue Nov 06 00:11:53 2018 recovered 31 nontrivial dependencies
  266. Tue Nov 06 00:11:54 2018 BLanczosTime: 41961
  267. Tue Nov 06 00:11:54 2018
  268. Tue Nov 06 00:11:54 2018 commencing square root phase
  269. Tue Nov 06 00:11:54 2018 handling dependencies 1 to 64
  270. Tue Nov 06 00:11:54 2018 reading relations for dependency 1
  271. Tue Nov 06 00:11:57 2018 read 2036935 cycles
  272. Tue Nov 06 00:12:01 2018 cycles contain 6580082 unique relations
  273. Tue Nov 06 00:18:35 2018 read 6580082 relations
  274. Tue Nov 06 00:19:05 2018 multiplying 6580082 relations
  275. Tue Nov 06 00:23:14 2018 multiply complete, coefficients have about 166.97 million bits
  276. Tue Nov 06 00:23:15 2018 initial square root is modulo 982213
  277. Tue Nov 06 00:27:33 2018 sqrtTime: 939
  278. Tue Nov 06 00:27:33 2018 p105 factor: 297614663449558821527842539471958227572772372024684829917249018696108401814788285924521087511490854746489
  279. Tue Nov 06 00:27:33 2018 p108 factor: 107131719855707304652297989469705091931897787379382454111119526335019997072156947561828562481381411184861469
  280. Tue Nov 06 00:27:33 2018 elapsed time 12:24:51
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