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  1. Wed May 29 09:45:06 2019
  2. Wed May 29 09:45:06 2019
  3. Wed May 29 09:45:06 2019 Msieve v. 1.54 (SVN 1025)
  4. Wed May 29 09:45:06 2019 random seeds: 9e762cb1 5ba31b44
  5. Wed May 29 09:45:06 2019 factoring 249420906328864813002585693186064097292681903704008873307534354071285750135061364089654279226499648945957513523715997509873437937856429749629240935080414883930096200620238061147566677148227776704077803 (201 digits)
  6. Wed May 29 09:45:06 2019 searching for 15-digit factors
  7. Wed May 29 09:45:07 2019 commencing number field sieve (201-digit input)
  8. Wed May 29 09:45:07 2019 R0: 811795320536133573571931534665380233173841533961
  9. Wed May 29 09:45:07 2019 R1: -89543024325523737224653100000000000000000000000
  10. Wed May 29 09:45:07 2019 A0: -1
  11. Wed May 29 09:45:07 2019 A1: 3
  12. Wed May 29 09:45:07 2019 A2: 3
  13. Wed May 29 09:45:07 2019 A3: -4
  14. Wed May 29 09:45:07 2019 A4: -1
  15. Wed May 29 09:45:07 2019 A5: 1
  16. Wed May 29 09:45:07 2019 skew 1.00, size 2.757e-16, alpha 2.379, combined = 3.973e-13 rroots = 5
  17. Wed May 29 09:45:07 2019
  18. Wed May 29 09:45:07 2019 commencing relation filtering
  19. Wed May 29 09:45:07 2019 setting max relations to 212000000
  20. Wed May 29 09:45:07 2019 setting target matrix density to 132.0
  21. Wed May 29 09:45:07 2019 estimated available RAM is 15984.6 MB
  22. Wed May 29 09:45:07 2019 commencing duplicate removal, pass 1
  23. Wed May 29 10:00:30 2019 error -1 reading relation 140374067
  24. Wed May 29 10:02:01 2019 error -15 reading relation 154107176
  25. Wed May 29 10:06:36 2019 error -1 reading relation 195159401
  26. Wed May 29 10:08:28 2019 skipped 236 relations with b > 2^32
  27. Wed May 29 10:08:28 2019 skipped 1 relations with composite factors
  28. Wed May 29 10:08:28 2019 found 9806929 hash collisions in 211999760 relations
  29. Wed May 29 10:08:28 2019 commencing duplicate removal, pass 2
  30. Wed May 29 10:09:24 2019 found 0 duplicates and 211999760 unique relations
  31. Wed May 29 10:09:24 2019 memory use: 522.4 MB
  32. Wed May 29 10:09:24 2019 reading ideals above 159842304
  33. Wed May 29 10:09:24 2019 commencing singleton removal, initial pass
  34. Wed May 29 10:26:09 2019 memory use: 3012.0 MB
  35. Wed May 29 10:26:09 2019 reading all ideals from disk
  36. Wed May 29 10:26:18 2019 memory use: 3505.6 MB
  37. Wed May 29 10:26:25 2019 commencing in-memory singleton removal
  38. Wed May 29 10:26:32 2019 begin with 211999760 relations and 161267775 unique ideals
  39. Wed May 29 10:27:51 2019 reduce to 150294691 relations and 94208656 ideals in 13 passes
  40. Wed May 29 10:27:51 2019 max relations containing the same ideal: 47
  41. Wed May 29 10:27:58 2019 reading ideals above 720000
  42. Wed May 29 10:27:58 2019 commencing singleton removal, initial pass
  43. Wed May 29 10:43:53 2019 memory use: 3012.0 MB
  44. Wed May 29 10:43:53 2019 reading all ideals from disk
  45. Wed May 29 10:44:07 2019 memory use: 5876.2 MB
  46. Wed May 29 10:44:27 2019 keeping 111356824 ideals with weight <= 200, target excess is 782853
  47. Wed May 29 10:44:45 2019 commencing in-memory singleton removal
  48. Wed May 29 10:44:58 2019 begin with 150294693 relations and 111356824 unique ideals
  49. Wed May 29 10:46:37 2019 reduce to 150286334 relations and 111348464 ideals in 7 passes
  50. Wed May 29 10:46:37 2019 max relations containing the same ideal: 200
  51. Wed May 29 10:47:41 2019 removing 9628971 relations and 7628971 ideals in 2000000 cliques
  52. Wed May 29 10:47:44 2019 commencing in-memory singleton removal
  53. Wed May 29 10:47:58 2019 begin with 140657363 relations and 111348464 unique ideals
  54. Wed May 29 10:49:29 2019 reduce to 140199748 relations and 103253992 ideals in 7 passes
  55. Wed May 29 10:49:29 2019 max relations containing the same ideal: 199
  56. Wed May 29 10:50:29 2019 removing 7372157 relations and 5372157 ideals in 2000000 cliques
  57. Wed May 29 10:50:32 2019 commencing in-memory singleton removal
  58. Wed May 29 10:50:44 2019 begin with 132827591 relations and 103253992 unique ideals
  59. Wed May 29 10:52:07 2019 reduce to 132517308 relations and 97566994 ideals in 7 passes
  60. Wed May 29 10:52:07 2019 max relations containing the same ideal: 193
  61. Wed May 29 10:53:03 2019 removing 6728146 relations and 4728146 ideals in 2000000 cliques
  62. Wed May 29 10:53:05 2019 commencing in-memory singleton removal
  63. Wed May 29 10:53:17 2019 begin with 125789162 relations and 97566994 unique ideals
  64. Wed May 29 10:54:34 2019 reduce to 125520082 relations and 92565896 ideals in 7 passes
  65. Wed May 29 10:54:34 2019 max relations containing the same ideal: 189
  66. Wed May 29 10:55:27 2019 removing 6391137 relations and 4391137 ideals in 2000000 cliques
  67. Wed May 29 10:55:29 2019 commencing in-memory singleton removal
  68. Wed May 29 10:55:39 2019 begin with 119128945 relations and 92565896 unique ideals
  69. Wed May 29 10:56:52 2019 reduce to 118881717 relations and 87923809 ideals in 7 passes
  70. Wed May 29 10:56:52 2019 max relations containing the same ideal: 184
  71. Wed May 29 10:57:41 2019 removing 6178114 relations and 4178114 ideals in 2000000 cliques
  72. Wed May 29 10:57:44 2019 commencing in-memory singleton removal
  73. Wed May 29 10:57:53 2019 begin with 112703603 relations and 87923809 unique ideals
  74. Wed May 29 10:59:00 2019 reduce to 112467657 relations and 83506082 ideals in 7 passes
  75. Wed May 29 10:59:00 2019 max relations containing the same ideal: 179
  76. Wed May 29 10:59:48 2019 removing 6031816 relations and 4031816 ideals in 2000000 cliques
  77. Wed May 29 10:59:50 2019 commencing in-memory singleton removal
  78. Wed May 29 10:59:59 2019 begin with 106435841 relations and 83506082 unique ideals
  79. Wed May 29 11:00:54 2019 reduce to 106206744 relations and 79241360 ideals in 6 passes
  80. Wed May 29 11:00:54 2019 max relations containing the same ideal: 171
  81. Wed May 29 11:01:39 2019 removing 5917160 relations and 3917160 ideals in 2000000 cliques
  82. Wed May 29 11:01:41 2019 commencing in-memory singleton removal
  83. Wed May 29 11:01:50 2019 begin with 100289584 relations and 79241360 unique ideals
  84. Wed May 29 11:02:48 2019 reduce to 100062140 relations and 75092843 ideals in 7 passes
  85. Wed May 29 11:02:48 2019 max relations containing the same ideal: 167
  86. Wed May 29 11:03:31 2019 removing 5835752 relations and 3835752 ideals in 2000000 cliques
  87. Wed May 29 11:03:33 2019 commencing in-memory singleton removal
  88. Wed May 29 11:03:41 2019 begin with 94226388 relations and 75092843 unique ideals
  89. Wed May 29 11:04:28 2019 reduce to 93996947 relations and 71023421 ideals in 6 passes
  90. Wed May 29 11:04:28 2019 max relations containing the same ideal: 159
  91. Wed May 29 11:05:06 2019 removing 5770956 relations and 3770956 ideals in 2000000 cliques
  92. Wed May 29 11:05:08 2019 commencing in-memory singleton removal
  93. Wed May 29 11:05:15 2019 begin with 88225991 relations and 71023421 unique ideals
  94. Wed May 29 11:05:57 2019 reduce to 87993558 relations and 67015578 ideals in 6 passes
  95. Wed May 29 11:05:57 2019 max relations containing the same ideal: 151
  96. Wed May 29 11:06:32 2019 removing 5722057 relations and 3722057 ideals in 2000000 cliques
  97. Wed May 29 11:06:35 2019 commencing in-memory singleton removal
  98. Wed May 29 11:06:41 2019 begin with 82271501 relations and 67015578 unique ideals
  99. Wed May 29 11:07:19 2019 reduce to 82032643 relations and 63049760 ideals in 6 passes
  100. Wed May 29 11:07:19 2019 max relations containing the same ideal: 145
  101. Wed May 29 11:07:51 2019 removing 5682482 relations and 3682482 ideals in 2000000 cliques
  102. Wed May 29 11:07:53 2019 commencing in-memory singleton removal
  103. Wed May 29 11:08:00 2019 begin with 76350161 relations and 63049760 unique ideals
  104. Wed May 29 11:08:43 2019 reduce to 76102224 relations and 59114035 ideals in 7 passes
  105. Wed May 29 11:08:43 2019 max relations containing the same ideal: 136
  106. Wed May 29 11:09:11 2019 removing 5655783 relations and 3655783 ideals in 2000000 cliques
  107. Wed May 29 11:09:13 2019 commencing in-memory singleton removal
  108. Wed May 29 11:09:17 2019 begin with 70446441 relations and 59114035 unique ideals
  109. Wed May 29 11:09:45 2019 reduce to 70187265 relations and 55193093 ideals in 6 passes
  110. Wed May 29 11:09:45 2019 max relations containing the same ideal: 131
  111. Wed May 29 11:10:09 2019 removing 5641619 relations and 3641619 ideals in 2000000 cliques
  112. Wed May 29 11:10:10 2019 commencing in-memory singleton removal
  113. Wed May 29 11:10:14 2019 begin with 64545646 relations and 55193093 unique ideals
  114. Wed May 29 11:10:38 2019 reduce to 64273036 relations and 51271832 ideals in 6 passes
  115. Wed May 29 11:10:38 2019 max relations containing the same ideal: 125
  116. Wed May 29 11:11:00 2019 removing 5630813 relations and 3630813 ideals in 2000000 cliques
  117. Wed May 29 11:11:02 2019 commencing in-memory singleton removal
  118. Wed May 29 11:11:05 2019 begin with 58642223 relations and 51271832 unique ideals
  119. Wed May 29 11:11:30 2019 reduce to 58349550 relations and 47340577 ideals in 7 passes
  120. Wed May 29 11:11:30 2019 max relations containing the same ideal: 118
  121. Wed May 29 11:11:51 2019 removing 5627204 relations and 3627204 ideals in 2000000 cliques
  122. Wed May 29 11:11:52 2019 commencing in-memory singleton removal
  123. Wed May 29 11:11:56 2019 begin with 52722346 relations and 47340577 unique ideals
  124. Wed May 29 11:12:17 2019 reduce to 52405274 relations and 43387237 ideals in 7 passes
  125. Wed May 29 11:12:17 2019 max relations containing the same ideal: 113
  126. Wed May 29 11:12:34 2019 removing 5636638 relations and 3636638 ideals in 2000000 cliques
  127. Wed May 29 11:12:35 2019 commencing in-memory singleton removal
  128. Wed May 29 11:12:38 2019 begin with 46768636 relations and 43387237 unique ideals
  129. Wed May 29 11:12:55 2019 reduce to 46418791 relations and 39389560 ideals in 7 passes
  130. Wed May 29 11:12:55 2019 max relations containing the same ideal: 107
  131. Wed May 29 11:13:10 2019 removing 5652964 relations and 3652964 ideals in 2000000 cliques
  132. Wed May 29 11:13:11 2019 commencing in-memory singleton removal
  133. Wed May 29 11:13:13 2019 begin with 40765827 relations and 39389560 unique ideals
  134. Wed May 29 11:13:26 2019 reduce to 40368032 relations and 35324537 ideals in 6 passes
  135. Wed May 29 11:13:26 2019 max relations containing the same ideal: 97
  136. Wed May 29 11:13:39 2019 removing 5683795 relations and 3683795 ideals in 2000000 cliques
  137. Wed May 29 11:13:41 2019 commencing in-memory singleton removal
  138. Wed May 29 11:13:43 2019 begin with 34684237 relations and 35324537 unique ideals
  139. Wed May 29 11:13:55 2019 reduce to 34216112 relations and 31153623 ideals in 7 passes
  140. Wed May 29 11:13:55 2019 max relations containing the same ideal: 83
  141. Wed May 29 11:14:07 2019 removing 5742053 relations and 3742053 ideals in 2000000 cliques
  142. Wed May 29 11:14:08 2019 commencing in-memory singleton removal
  143. Wed May 29 11:14:09 2019 begin with 28474059 relations and 31153623 unique ideals
  144. Wed May 29 11:14:20 2019 reduce to 27882569 relations and 26791407 ideals in 7 passes
  145. Wed May 29 11:14:20 2019 max relations containing the same ideal: 70
  146. Wed May 29 11:14:29 2019 removing 811705 relations and 628653 ideals in 183052 cliques
  147. Wed May 29 11:14:29 2019 commencing in-memory singleton removal
  148. Wed May 29 11:14:31 2019 begin with 27070864 relations and 26791407 unique ideals
  149. Wed May 29 11:14:39 2019 reduce to 27052229 relations and 26143996 ideals in 6 passes
  150. Wed May 29 11:14:39 2019 max relations containing the same ideal: 69
  151. Wed May 29 11:14:51 2019 relations with 0 large ideals: 0
  152. Wed May 29 11:14:51 2019 relations with 1 large ideals: 14989
  153. Wed May 29 11:14:51 2019 relations with 2 large ideals: 218517
  154. Wed May 29 11:14:51 2019 relations with 3 large ideals: 1256370
  155. Wed May 29 11:14:51 2019 relations with 4 large ideals: 3785171
  156. Wed May 29 11:14:51 2019 relations with 5 large ideals: 6679091
  157. Wed May 29 11:14:51 2019 relations with 6 large ideals: 7285339
  158. Wed May 29 11:14:51 2019 relations with 7+ large ideals: 7812752
  159. Wed May 29 11:14:51 2019 commencing 2-way merge
  160. Wed May 29 11:15:02 2019 reduce to 18286358 relation sets and 17378125 unique ideals
  161. Wed May 29 11:15:02 2019 commencing full merge
  162. Wed May 29 11:19:52 2019 memory use: 2194.7 MB
  163. Wed May 29 11:19:53 2019 found 8059813 cycles, need 7998325
  164. Wed May 29 11:19:56 2019 weight of 7998325 cycles is about 1055817756 (132.00/cycle)
  165. Wed May 29 11:19:56 2019 distribution of cycle lengths:
  166. Wed May 29 11:19:56 2019 1 relations: 172859
  167. Wed May 29 11:19:56 2019 2 relations: 372319
  168. Wed May 29 11:19:56 2019 3 relations: 488831
  169. Wed May 29 11:19:56 2019 4 relations: 540497
  170. Wed May 29 11:19:56 2019 5 relations: 586875
  171. Wed May 29 11:19:56 2019 6 relations: 599926
  172. Wed May 29 11:19:56 2019 7 relations: 606746
  173. Wed May 29 11:19:56 2019 8 relations: 588550
  174. Wed May 29 11:19:56 2019 9 relations: 559880
  175. Wed May 29 11:19:56 2019 10+ relations: 3481842
  176. Wed May 29 11:19:56 2019 heaviest cycle: 28 relations
  177. Wed May 29 11:19:58 2019 commencing cycle optimization
  178. Wed May 29 11:20:11 2019 start with 74992803 relations
  179. Wed May 29 11:22:18 2019 pruned 4170479 relations
  180. Wed May 29 11:22:18 2019 memory use: 1894.0 MB
  181. Wed May 29 11:22:18 2019 distribution of cycle lengths:
  182. Wed May 29 11:22:18 2019 1 relations: 172859
  183. Wed May 29 11:22:18 2019 2 relations: 384499
  184. Wed May 29 11:22:18 2019 3 relations: 513417
  185. Wed May 29 11:22:18 2019 4 relations: 569392
  186. Wed May 29 11:22:18 2019 5 relations: 624395
  187. Wed May 29 11:22:18 2019 6 relations: 639925
  188. Wed May 29 11:22:18 2019 7 relations: 648962
  189. Wed May 29 11:22:18 2019 8 relations: 627725
  190. Wed May 29 11:22:18 2019 9 relations: 595525
  191. Wed May 29 11:22:18 2019 10+ relations: 3221626
  192. Wed May 29 11:22:18 2019 heaviest cycle: 28 relations
  193. Wed May 29 11:22:31 2019 RelProcTime: 5844
  194. Wed May 29 11:22:31 2019 elapsed time 01:37:25
  195. Wed May 29 11:32:10 2019
  196. Wed May 29 11:32:10 2019
  197. Wed May 29 11:32:10 2019 Msieve v. 1.54 (SVN 1025)
  198. Wed May 29 11:32:10 2019 random seeds: 5623e27e 3fdb08dc
  199. Wed May 29 11:32:10 2019 factoring 249420906328864813002585693186064097292681903704008873307534354071285750135061364089654279226499648945957513523715997509873437937856429749629240935080414883930096200620238061147566677148227776704077803 (201 digits)
  200. Wed May 29 11:32:11 2019 searching for 15-digit factors
  201. Wed May 29 11:32:11 2019 commencing number field sieve (201-digit input)
  202. Wed May 29 11:32:11 2019 R0: 811795320536133573571931534665380233173841533961
  203. Wed May 29 11:32:11 2019 R1: -89543024325523737224653100000000000000000000000
  204. Wed May 29 11:32:11 2019 A0: -1
  205. Wed May 29 11:32:11 2019 A1: 3
  206. Wed May 29 11:32:11 2019 A2: 3
  207. Wed May 29 11:32:11 2019 A3: -4
  208. Wed May 29 11:32:11 2019 A4: -1
  209. Wed May 29 11:32:11 2019 A5: 1
  210. Wed May 29 11:32:11 2019 skew 1.00, size 2.757e-16, alpha 2.379, combined = 3.973e-13 rroots = 5
  211. Wed May 29 11:32:11 2019
  212. Wed May 29 11:32:11 2019 commencing linear algebra
  213. Wed May 29 11:32:12 2019 read 7998325 cycles
  214. Wed May 29 11:32:24 2019 cycles contain 26657670 unique relations
  215. Wed May 29 11:34:26 2019 read 26657670 relations
  216. Wed May 29 11:35:01 2019 using 20 quadratic characters above 4294917295
  217. Wed May 29 11:36:32 2019 building initial matrix
  218. Wed May 29 11:40:38 2019 memory use: 3345.4 MB
  219. Wed May 29 11:40:41 2019 read 7998325 cycles
  220. Wed May 29 11:40:42 2019 matrix is 7998148 x 7998325 (4020.1 MB) with weight 1143386798 (142.95/col)
  221. Wed May 29 11:40:42 2019 sparse part has weight 965872081 (120.76/col)
  222. Wed May 29 11:42:09 2019 filtering completed in 2 passes
  223. Wed May 29 11:42:10 2019 matrix is 7998027 x 7998204 (4020.1 MB) with weight 1143382054 (142.95/col)
  224. Wed May 29 11:42:10 2019 sparse part has weight 965869977 (120.76/col)
  225. Wed May 29 11:42:29 2019 matrix starts at (0, 0)
  226. Wed May 29 11:42:30 2019 matrix is 7998027 x 7998204 (4020.1 MB) with weight 1143382054 (142.95/col)
  227. Wed May 29 11:42:30 2019 sparse part has weight 965869977 (120.76/col)
  228. Wed May 29 11:42:30 2019 saving the first 48 matrix rows for later
  229. Wed May 29 11:42:31 2019 matrix includes 64 packed rows
  230. Wed May 29 11:42:32 2019 matrix is 7997979 x 7998204 (3851.9 MB) with weight 991941908 (124.02/col)
  231. Wed May 29 11:42:32 2019 sparse part has weight 929770638 (116.25/col)
  232. Wed May 29 11:42:32 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  233. Wed May 29 11:43:02 2019 commencing Lanczos iteration (4 threads)
  234. Wed May 29 11:43:02 2019 memory use: 3639.9 MB
  235. Wed May 29 11:43:32 2019 linear algebra at 0.0%, ETA 42h24m
  236. Wed May 29 11:43:42 2019 checkpointing every 190000 dimensions
  237. Fri May 31 02:54:09 2019 lanczos halted after 126478 iterations (dim = 7997974)
  238. Fri May 31 02:54:22 2019 recovered 32 nontrivial dependencies
  239. Fri May 31 02:54:22 2019 BLanczosTime: 141731
  240. Fri May 31 02:54:22 2019
  241. Fri May 31 02:54:22 2019 commencing square root phase
  242. Fri May 31 02:54:22 2019 reading relations for dependency 1
  243. Fri May 31 02:54:23 2019 read 3996769 cycles
  244. Fri May 31 02:54:29 2019 cycles contain 13320516 unique relations
  245. Fri May 31 02:55:41 2019 read 13320516 relations
  246. Fri May 31 02:56:22 2019 multiplying 13320516 relations
  247. Fri May 31 03:01:31 2019 multiply complete, coefficients have about 335.31 million bits
  248. Fri May 31 03:01:33 2019 initial square root is modulo 1039139
  249. Fri May 31 03:07:25 2019 GCD is N, no factor found
  250. Fri May 31 03:07:25 2019 reading relations for dependency 2
  251. Fri May 31 03:07:26 2019 read 3999693 cycles
  252. Fri May 31 03:07:32 2019 cycles contain 13330356 unique relations
  253. Fri May 31 03:08:44 2019 read 13330356 relations
  254. Fri May 31 03:09:25 2019 multiplying 13330356 relations
  255. Fri May 31 03:14:36 2019 multiply complete, coefficients have about 335.55 million bits
  256. Fri May 31 03:14:37 2019 initial square root is modulo 1049387
  257. Fri May 31 03:20:43 2019 GCD is N, no factor found
  258. Fri May 31 03:20:43 2019 reading relations for dependency 3
  259. Fri May 31 03:20:44 2019 read 3997592 cycles
  260. Fri May 31 03:20:49 2019 cycles contain 13330034 unique relations
  261. Fri May 31 03:22:01 2019 read 13330034 relations
  262. Fri May 31 03:22:43 2019 multiplying 13330034 relations
  263. Fri May 31 03:27:54 2019 multiply complete, coefficients have about 335.55 million bits
  264. Fri May 31 03:27:55 2019 initial square root is modulo 1049459
  265. Fri May 31 03:34:01 2019 sqrtTime: 2379
  266. Fri May 31 03:34:01 2019 p74 factor: 52105341302210937562203401216786845593841352383291858382917122897845103439
  267. Fri May 31 03:34:01 2019 p127 factor: 4786858699998216253844967994735560739300549644414722513033356704065736305346636252455408937426237146548894641004935534571367077
  268. Fri May 31 03:34:01 2019 elapsed time 40:01:51
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