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  1. Mon Aug 29 19:45:05 2016
  2. Mon Aug 29 19:45:05 2016
  3. Mon Aug 29 19:45:05 2016 Msieve v. 1.52 (SVN unknown)
  4. Mon Aug 29 19:45:05 2016 random seeds: 95b1c7ac dc89aaf8
  5. Mon Aug 29 19:45:05 2016 factoring 350786107040932561233502133178179323248524718422309558479467500837666295568052516252231767161404481566648260997896539350799173659877786126548482453559045462806512502961240745396679517784569832951313694050364641185116203295643 (225 digits)
  6. Mon Aug 29 19:45:06 2016 no P-1/P+1/ECM available, skipping
  7. Mon Aug 29 19:45:06 2016 commencing number field sieve (225-digit input)
  8. Mon Aug 29 19:45:06 2016 R0: 10000000000000000000000000000000000000000
  9. Mon Aug 29 19:45:06 2016 R1: -6366805760909027985741435139224001
  10. Mon Aug 29 19:45:06 2016 A0: 7
  11. Mon Aug 29 19:45:06 2016 A1: 0
  12. Mon Aug 29 19:45:06 2016 A2: 0
  13. Mon Aug 29 19:45:06 2016 A3: 0
  14. Mon Aug 29 19:45:06 2016 A4: 0
  15. Mon Aug 29 19:45:06 2016 A5: 0
  16. Mon Aug 29 19:45:06 2016 A6: 10
  17. Mon Aug 29 19:45:06 2016 skew 0.94, size 4.569e-012, alpha 1.959, combined = 3.661e-013 rroots = 0
  18. Mon Aug 29 19:45:06 2016
  19. Mon Aug 29 19:45:06 2016 commencing relation filtering
  20. Mon Aug 29 19:45:06 2016 setting target matrix density to 130.0
  21. Mon Aug 29 19:45:06 2016 estimated available RAM is 12241.4 MB
  22. Mon Aug 29 19:45:06 2016 commencing duplicate removal, pass 1
  23. Mon Aug 29 19:47:45 2016 error -15 reading relation 15905162
  24. Mon Aug 29 19:48:03 2016 error -9 reading relation 17764905
  25. Mon Aug 29 19:48:28 2016 error -5 reading relation 20280384
  26. Mon Aug 29 19:48:35 2016 error -15 reading relation 20971386
  27. Mon Aug 29 19:48:40 2016 error -15 reading relation 21490985
  28. Mon Aug 29 20:18:20 2016 error -15 reading relation 201847692
  29. Mon Aug 29 20:22:49 2016 error -15 reading relation 229238813
  30. Mon Aug 29 20:23:15 2016 error -15 reading relation 232023907
  31. Mon Aug 29 20:23:16 2016 error -9 reading relation 232089240
  32. Mon Aug 29 20:23:16 2016 error -9 reading relation 232111665
  33. Mon Aug 29 20:23:25 2016 error -15 reading relation 233293943
  34. Mon Aug 29 20:23:32 2016 error -15 reading relation 234026643
  35. Mon Aug 29 20:23:39 2016 error -15 reading relation 234706023
  36. Mon Aug 29 20:23:41 2016 error -9 reading relation 234953180
  37. Mon Aug 29 20:23:43 2016 error -5 reading relation 235151290
  38. Mon Aug 29 20:23:44 2016 error -15 reading relation 235254970
  39. Mon Aug 29 20:23:46 2016 error -5 reading relation 235435425
  40. Mon Aug 29 20:23:46 2016 error -1 reading relation 235496006
  41. Mon Aug 29 20:24:27 2016 error -9 reading relation 239873747
  42. Mon Aug 29 20:24:45 2016 error -9 reading relation 241792596
  43. Mon Aug 29 20:24:45 2016 error -15 reading relation 241819163
  44. Mon Aug 29 20:24:52 2016 error -15 reading relation 242553192
  45. Mon Aug 29 20:24:52 2016 error -15 reading relation 242592636
  46. Mon Aug 29 20:24:53 2016 error -15 reading relation 242639298
  47. Mon Aug 29 20:24:56 2016 error -15 reading relation 242988075
  48. Mon Aug 29 20:24:58 2016 error -15 reading relation 243145895
  49. Mon Aug 29 20:24:58 2016 error -15 reading relation 243179484
  50. Mon Aug 29 20:25:10 2016 error -9 reading relation 244418392
  51. Mon Aug 29 20:25:10 2016 error -9 reading relation 244423197
  52. Mon Aug 29 20:25:10 2016 error -5 reading relation 244429865
  53. Mon Aug 29 20:25:28 2016 skipped 82 relations with b > 2^32
  54. Mon Aug 29 20:25:28 2016 found 49739557 hash collisions in 246281471 relations
  55. Mon Aug 29 20:25:57 2016 added 1218283 free relations
  56. Mon Aug 29 20:25:57 2016 commencing duplicate removal, pass 2
  57. Mon Aug 29 20:30:00 2016 found 49174429 duplicates and 198325325 unique relations
  58. Mon Aug 29 20:30:00 2016 memory use: 1321.5 MB
  59. Mon Aug 29 20:30:00 2016 reading ideals above 159973376
  60. Mon Aug 29 20:30:00 2016 commencing singleton removal, initial pass
  61. Mon Aug 29 21:05:55 2016 memory use: 3012.0 MB
  62. Mon Aug 29 21:05:55 2016 reading all ideals from disk
  63. Mon Aug 29 21:06:17 2016 memory use: 3295.3 MB
  64. Mon Aug 29 21:06:24 2016 commencing in-memory singleton removal
  65. Mon Aug 29 21:06:30 2016 begin with 198325325 relations and 158568855 unique ideals
  66. Mon Aug 29 21:07:40 2016 reduce to 132039862 relations and 85775449 ideals in 13 passes
  67. Mon Aug 29 21:07:40 2016 max relations containing the same ideal: 34
  68. Mon Aug 29 21:07:49 2016 reading ideals above 720000
  69. Mon Aug 29 21:07:50 2016 commencing singleton removal, initial pass
  70. Mon Aug 29 21:36:24 2016 memory use: 2756.0 MB
  71. Mon Aug 29 21:36:24 2016 reading all ideals from disk
  72. Mon Aug 29 21:37:00 2016 memory use: 5162.7 MB
  73. Mon Aug 29 21:37:14 2016 keeping 103043765 ideals with weight <= 200, target excess is 673773
  74. Mon Aug 29 21:37:29 2016 commencing in-memory singleton removal
  75. Mon Aug 29 21:37:40 2016 begin with 132039862 relations and 103043765 unique ideals
  76. Mon Aug 29 21:39:24 2016 reduce to 132035204 relations and 103039107 ideals in 9 passes
  77. Mon Aug 29 21:39:24 2016 max relations containing the same ideal: 200
  78. Mon Aug 29 21:40:21 2016 removing 10445112 relations and 8445112 ideals in 2000000 cliques
  79. Mon Aug 29 21:40:25 2016 commencing in-memory singleton removal
  80. Mon Aug 29 21:40:35 2016 begin with 121590092 relations and 103039107 unique ideals
  81. Mon Aug 29 21:41:49 2016 reduce to 120988693 relations and 93981156 ideals in 7 passes
  82. Mon Aug 29 21:41:49 2016 max relations containing the same ideal: 197
  83. Mon Aug 29 21:42:42 2016 removing 7938010 relations and 5938010 ideals in 2000000 cliques
  84. Mon Aug 29 21:42:45 2016 commencing in-memory singleton removal
  85. Mon Aug 29 21:42:54 2016 begin with 113050683 relations and 93981156 unique ideals
  86. Mon Aug 29 21:44:03 2016 reduce to 112646888 relations and 87632549 ideals in 7 passes
  87. Mon Aug 29 21:44:03 2016 max relations containing the same ideal: 188
  88. Mon Aug 29 21:44:53 2016 removing 7203417 relations and 5203417 ideals in 2000000 cliques
  89. Mon Aug 29 21:44:55 2016 commencing in-memory singleton removal
  90. Mon Aug 29 21:45:04 2016 begin with 105443471 relations and 87632549 unique ideals
  91. Mon Aug 29 21:46:08 2016 reduce to 105090040 relations and 82069734 ideals in 7 passes
  92. Mon Aug 29 21:46:08 2016 max relations containing the same ideal: 181
  93. Mon Aug 29 21:46:53 2016 removing 6829516 relations and 4829516 ideals in 2000000 cliques
  94. Mon Aug 29 21:46:56 2016 commencing in-memory singleton removal
  95. Mon Aug 29 21:47:04 2016 begin with 98260524 relations and 82069734 unique ideals
  96. Mon Aug 29 21:48:11 2016 reduce to 97932243 relations and 76906212 ideals in 8 passes
  97. Mon Aug 29 21:48:11 2016 max relations containing the same ideal: 175
  98. Mon Aug 29 21:48:55 2016 removing 6587567 relations and 4587567 ideals in 2000000 cliques
  99. Mon Aug 29 21:48:57 2016 commencing in-memory singleton removal
  100. Mon Aug 29 21:49:04 2016 begin with 91344676 relations and 76906212 unique ideals
  101. Mon Aug 29 21:49:59 2016 reduce to 91027269 relations and 71995549 ideals in 7 passes
  102. Mon Aug 29 21:49:59 2016 max relations containing the same ideal: 166
  103. Mon Aug 29 21:50:40 2016 removing 6422223 relations and 4422223 ideals in 2000000 cliques
  104. Mon Aug 29 21:50:42 2016 commencing in-memory singleton removal
  105. Mon Aug 29 21:50:49 2016 begin with 84605046 relations and 71995549 unique ideals
  106. Mon Aug 29 21:51:32 2016 reduce to 84290334 relations and 67252527 ideals in 6 passes
  107. Mon Aug 29 21:51:32 2016 max relations containing the same ideal: 158
  108. Mon Aug 29 21:52:09 2016 removing 6300854 relations and 4300854 ideals in 2000000 cliques
  109. Mon Aug 29 21:52:11 2016 commencing in-memory singleton removal
  110. Mon Aug 29 21:52:17 2016 begin with 77989480 relations and 67252527 unique ideals
  111. Mon Aug 29 21:53:03 2016 reduce to 77670828 relations and 62626407 ideals in 7 passes
  112. Mon Aug 29 21:53:03 2016 max relations containing the same ideal: 152
  113. Mon Aug 29 21:53:38 2016 removing 6210979 relations and 4210979 ideals in 2000000 cliques
  114. Mon Aug 29 21:53:40 2016 commencing in-memory singleton removal
  115. Mon Aug 29 21:53:45 2016 begin with 71459849 relations and 62626407 unique ideals
  116. Mon Aug 29 21:54:21 2016 reduce to 71134355 relations and 58082585 ideals in 6 passes
  117. Mon Aug 29 21:54:21 2016 max relations containing the same ideal: 141
  118. Mon Aug 29 21:54:54 2016 removing 6143221 relations and 4143221 ideals in 2000000 cliques
  119. Mon Aug 29 21:54:56 2016 commencing in-memory singleton removal
  120. Mon Aug 29 21:55:01 2016 begin with 64991134 relations and 58082585 unique ideals
  121. Mon Aug 29 21:55:33 2016 reduce to 64651901 relations and 53592066 ideals in 6 passes
  122. Mon Aug 29 21:55:33 2016 max relations containing the same ideal: 134
  123. Mon Aug 29 21:56:02 2016 removing 6086831 relations and 4086831 ideals in 2000000 cliques
  124. Mon Aug 29 21:56:04 2016 commencing in-memory singleton removal
  125. Mon Aug 29 21:56:09 2016 begin with 58565070 relations and 53592066 unique ideals
  126. Mon Aug 29 21:56:42 2016 reduce to 58207150 relations and 49137960 ideals in 7 passes
  127. Mon Aug 29 21:56:42 2016 max relations containing the same ideal: 122
  128. Mon Aug 29 21:57:09 2016 removing 6053212 relations and 4053212 ideals in 2000000 cliques
  129. Mon Aug 29 21:57:11 2016 commencing in-memory singleton removal
  130. Mon Aug 29 21:57:15 2016 begin with 52153938 relations and 49137960 unique ideals
  131. Mon Aug 29 21:57:45 2016 reduce to 51767242 relations and 44686673 ideals in 7 passes
  132. Mon Aug 29 21:57:45 2016 max relations containing the same ideal: 113
  133. Mon Aug 29 21:58:08 2016 removing 6022005 relations and 4022005 ideals in 2000000 cliques
  134. Mon Aug 29 21:58:10 2016 commencing in-memory singleton removal
  135. Mon Aug 29 21:58:13 2016 begin with 45745237 relations and 44686673 unique ideals
  136. Mon Aug 29 21:58:39 2016 reduce to 45319161 relations and 40224801 ideals in 7 passes
  137. Mon Aug 29 21:58:39 2016 max relations containing the same ideal: 103
  138. Mon Aug 29 21:59:00 2016 removing 6010989 relations and 4010989 ideals in 2000000 cliques
  139. Mon Aug 29 21:59:01 2016 commencing in-memory singleton removal
  140. Mon Aug 29 21:59:04 2016 begin with 39308172 relations and 40224801 unique ideals
  141. Mon Aug 29 21:59:26 2016 reduce to 38819629 relations and 35707271 ideals in 7 passes
  142. Mon Aug 29 21:59:26 2016 max relations containing the same ideal: 96
  143. Mon Aug 29 21:59:44 2016 removing 6027072 relations and 4027072 ideals in 2000000 cliques
  144. Mon Aug 29 21:59:45 2016 commencing in-memory singleton removal
  145. Mon Aug 29 21:59:48 2016 begin with 32792557 relations and 35707271 unique ideals
  146. Mon Aug 29 22:00:08 2016 reduce to 32195341 relations and 31057015 ideals in 8 passes
  147. Mon Aug 29 22:00:08 2016 max relations containing the same ideal: 84
  148. Mon Aug 29 22:00:23 2016 removing 1490186 relations and 1133437 ideals in 356749 cliques
  149. Mon Aug 29 22:00:24 2016 commencing in-memory singleton removal
  150. Mon Aug 29 22:00:26 2016 begin with 30705155 relations and 31057015 unique ideals
  151. Mon Aug 29 22:00:43 2016 reduce to 30653601 relations and 29871507 ideals in 7 passes
  152. Mon Aug 29 22:00:43 2016 max relations containing the same ideal: 83
  153. Mon Aug 29 22:01:01 2016 relations with 0 large ideals: 25610
  154. Mon Aug 29 22:01:01 2016 relations with 1 large ideals: 11519
  155. Mon Aug 29 22:01:01 2016 relations with 2 large ideals: 149192
  156. Mon Aug 29 22:01:01 2016 relations with 3 large ideals: 947180
  157. Mon Aug 29 22:01:01 2016 relations with 4 large ideals: 3229091
  158. Mon Aug 29 22:01:01 2016 relations with 5 large ideals: 6527490
  159. Mon Aug 29 22:01:01 2016 relations with 6 large ideals: 8226089
  160. Mon Aug 29 22:01:01 2016 relations with 7+ large ideals: 11537430
  161. Mon Aug 29 22:01:01 2016 commencing 2-way merge
  162. Mon Aug 29 22:01:20 2016 reduce to 20703984 relation sets and 19921890 unique ideals
  163. Mon Aug 29 22:01:20 2016 commencing full merge
  164. Mon Aug 29 22:10:15 2016 memory use: 2641.4 MB
  165. Mon Aug 29 22:10:18 2016 found 9098817 cycles, need 9084090
  166. Mon Aug 29 22:10:18 2016 weight of 9084090 cycles is about 1181660892 (130.08/cycle)
  167. Mon Aug 29 22:10:18 2016 distribution of cycle lengths:
  168. Mon Aug 29 22:10:18 2016 1 relations: 262825
  169. Mon Aug 29 22:10:18 2016 2 relations: 432613
  170. Mon Aug 29 22:10:18 2016 3 relations: 547477
  171. Mon Aug 29 22:10:18 2016 4 relations: 592288
  172. Mon Aug 29 22:10:18 2016 5 relations: 635263
  173. Mon Aug 29 22:10:18 2016 6 relations: 646917
  174. Mon Aug 29 22:10:18 2016 7 relations: 645798
  175. Mon Aug 29 22:10:18 2016 8 relations: 631311
  176. Mon Aug 29 22:10:18 2016 9 relations: 603628
  177. Mon Aug 29 22:10:18 2016 10+ relations: 4085970
  178. Mon Aug 29 22:10:18 2016 heaviest cycle: 28 relations
  179. Mon Aug 29 22:10:20 2016 commencing cycle optimization
  180. Mon Aug 29 22:10:38 2016 start with 87349618 relations
  181. Mon Aug 29 22:15:07 2016 pruned 4628880 relations
  182. Mon Aug 29 22:15:07 2016 memory use: 2174.7 MB
  183. Mon Aug 29 22:15:07 2016 distribution of cycle lengths:
  184. Mon Aug 29 22:15:07 2016 1 relations: 262825
  185. Mon Aug 29 22:15:07 2016 2 relations: 444192
  186. Mon Aug 29 22:15:07 2016 3 relations: 572184
  187. Mon Aug 29 22:15:07 2016 4 relations: 620545
  188. Mon Aug 29 22:15:07 2016 5 relations: 671876
  189. Mon Aug 29 22:15:07 2016 6 relations: 683734
  190. Mon Aug 29 22:15:07 2016 7 relations: 687004
  191. Mon Aug 29 22:15:07 2016 8 relations: 669674
  192. Mon Aug 29 22:15:07 2016 9 relations: 640659
  193. Mon Aug 29 22:15:07 2016 10+ relations: 3831397
  194. Mon Aug 29 22:15:07 2016 heaviest cycle: 28 relations
  195. Mon Aug 29 22:15:24 2016 RelProcTime: 9018
  196. Mon Aug 29 22:15:24 2016
  197. Mon Aug 29 22:15:24 2016 commencing linear algebra
  198. Mon Aug 29 22:15:26 2016 read 9084090 cycles
  199. Mon Aug 29 22:15:47 2016 cycles contain 30294468 unique relations
  200. Mon Aug 29 22:21:45 2016 read 30294468 relations
  201. Mon Aug 29 22:22:42 2016 using 20 quadratic characters above 2147483564
  202. Mon Aug 29 22:25:00 2016 building initial matrix
  203. Mon Aug 29 22:32:03 2016 memory use: 3811.6 MB
  204. Mon Aug 29 22:32:12 2016 read 9084090 cycles
  205. Mon Aug 29 22:32:15 2016 matrix is 9083913 x 9084090 (4537.8 MB) with weight 1290631826 (142.08/col)
  206. Mon Aug 29 22:32:15 2016 sparse part has weight 1089625995 (119.95/col)
  207. Mon Aug 29 22:34:25 2016 filtering completed in 2 passes
  208. Mon Aug 29 22:34:28 2016 matrix is 9083866 x 9084043 (4537.8 MB) with weight 1290630432 (142.08/col)
  209. Mon Aug 29 22:34:28 2016 sparse part has weight 1089625655 (119.95/col)
  210. Mon Aug 29 22:35:26 2016 matrix starts at (0, 0)
  211. Mon Aug 29 22:35:29 2016 matrix is 9083866 x 9084043 (4537.8 MB) with weight 1290630432 (142.08/col)
  212. Mon Aug 29 22:35:29 2016 sparse part has weight 1089625655 (119.95/col)
  213. Mon Aug 29 22:35:29 2016 saving the first 48 matrix rows for later
  214. Mon Aug 29 22:35:32 2016 matrix includes 64 packed rows
  215. Mon Aug 29 22:35:34 2016 matrix is 9083818 x 9084043 (4347.7 MB) with weight 1118401521 (123.12/col)
  216. Mon Aug 29 22:35:34 2016 sparse part has weight 1048874415 (115.46/col)
  217. Mon Aug 29 22:35:34 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  218. Mon Aug 29 22:36:31 2016 commencing Lanczos iteration (6 threads)
  219. Mon Aug 29 22:36:31 2016 memory use: 3693.2 MB
  220. Mon Aug 29 22:37:26 2016 linear algebra at 0.0%, ETA 86h18m
  221. Mon Aug 29 22:37:43 2016 checkpointing every 110000 dimensions
  222. Fri Sep 02 13:08:26 2016 lanczos halted after 143654 iterations (dim = 9083817)
  223. Fri Sep 02 13:08:49 2016 recovered 36 nontrivial dependencies
  224. Fri Sep 02 13:08:57 2016 BLanczosTime: 312813
  225. Fri Sep 02 13:08:57 2016
  226. Fri Sep 02 13:08:57 2016 commencing square root phase
  227. Fri Sep 02 13:08:57 2016 handling dependencies 1 to 64
  228. Fri Sep 02 13:08:57 2016 reading relations for dependency 1
  229. Fri Sep 02 13:08:59 2016 read 4541312 cycles
  230. Fri Sep 02 13:09:09 2016 cycles contain 15144256 unique relations
  231. Fri Sep 02 13:13:11 2016 read 15144256 relations
  232. Fri Sep 02 13:14:36 2016 multiplying 15144256 relations
  233. Fri Sep 02 13:28:36 2016 multiply complete, coefficients have about 427.16 million bits
  234. Fri Sep 02 13:28:41 2016 initial square root is modulo 46201891
  235. Fri Sep 02 13:45:51 2016 GCD is 1, no factor found
  236. Fri Sep 02 13:45:51 2016 reading relations for dependency 2
  237. Fri Sep 02 13:45:53 2016 read 4540093 cycles
  238. Fri Sep 02 13:46:03 2016 cycles contain 15141766 unique relations
  239. Fri Sep 02 13:50:09 2016 read 15141766 relations
  240. Fri Sep 02 13:51:33 2016 multiplying 15141766 relations
  241. Fri Sep 02 14:05:34 2016 multiply complete, coefficients have about 427.09 million bits
  242. Fri Sep 02 14:05:40 2016 initial square root is modulo 46070581
  243. Fri Sep 02 14:22:55 2016 GCD is N, no factor found
  244. Fri Sep 02 14:22:55 2016 reading relations for dependency 3
  245. Fri Sep 02 14:22:57 2016 read 4541903 cycles
  246. Fri Sep 02 14:23:06 2016 cycles contain 15145714 unique relations
  247. Fri Sep 02 14:27:08 2016 read 15145714 relations
  248. Fri Sep 02 14:28:33 2016 multiplying 15145714 relations
  249. Fri Sep 02 14:42:35 2016 multiply complete, coefficients have about 427.21 million bits
  250. Fri Sep 02 14:42:40 2016 initial square root is modulo 46287841
  251. Fri Sep 02 15:00:07 2016 GCD is 1, no factor found
  252. Fri Sep 02 15:00:07 2016 reading relations for dependency 4
  253. Fri Sep 02 15:00:09 2016 read 4542279 cycles
  254. Fri Sep 02 15:00:18 2016 cycles contain 15148830 unique relations
  255. Fri Sep 02 15:04:22 2016 read 15148830 relations
  256. Fri Sep 02 15:05:47 2016 multiplying 15148830 relations
  257. Fri Sep 02 15:19:49 2016 multiply complete, coefficients have about 427.29 million bits
  258. Fri Sep 02 15:19:55 2016 initial square root is modulo 46442917
  259. Fri Sep 02 15:37:09 2016 GCD is 1, no factor found
  260. Fri Sep 02 15:37:09 2016 reading relations for dependency 5
  261. Fri Sep 02 15:37:11 2016 read 4540930 cycles
  262. Fri Sep 02 15:37:20 2016 cycles contain 15142380 unique relations
  263. Fri Sep 02 15:41:25 2016 read 15142380 relations
  264. Fri Sep 02 15:42:50 2016 multiplying 15142380 relations
  265. Fri Sep 02 15:56:51 2016 multiply complete, coefficients have about 427.11 million bits
  266. Fri Sep 02 15:56:56 2016 initial square root is modulo 46097707
  267. Fri Sep 02 16:14:24 2016 sqrtTime: 11127
  268. Fri Sep 02 16:14:24 2016 prp75 factor: 405800590483064434774933500842055125117230465497685184226901286296122996953
  269. Fri Sep 02 16:14:24 2016 prp150 factor: 864429760004432935433458387972684964587244793536948167466404631040504067499579531251625359157847177593852287648617206729671302629912175181928566691731
  270. Fri Sep 02 16:14:24 2016 elapsed time 92:29:19
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