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  1. Tue Apr 10 11:30:29 2018
  2. Tue Apr 10 11:30:29 2018
  3. Tue Apr 10 11:30:29 2018 Msieve v. 1.53 (SVN 993)
  4. Tue Apr 10 11:30:29 2018 random seeds: b12e4481 ade23bfd
  5. Tue Apr 10 11:30:29 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  6. Tue Apr 10 11:30:30 2018 no P-1/P+1/ECM available, skipping
  7. Tue Apr 10 11:30:30 2018 commencing number field sieve (210-digit input)
  8. Tue Apr 10 11:30:30 2018 R0: 1672329586132739856823834563328853274397
  9. Tue Apr 10 11:30:30 2018 R1: -1
  10. Tue Apr 10 11:30:30 2018 A0: -401173
  11. Tue Apr 10 11:30:30 2018 A1: 0
  12. Tue Apr 10 11:30:30 2018 A2: 0
  13. Tue Apr 10 11:30:30 2018 A3: 0
  14. Tue Apr 10 11:30:30 2018 A4: 0
  15. Tue Apr 10 11:30:30 2018 A5: 0
  16. Tue Apr 10 11:30:30 2018 A6: 1
  17. Tue Apr 10 11:30:30 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  18. Tue Apr 10 11:30:30 2018
  19. Tue Apr 10 11:30:30 2018 commencing relation filtering
  20. Tue Apr 10 11:30:30 2018 setting target matrix density to 70.0
  21. Tue Apr 10 11:30:30 2018 estimated available RAM is 64113.1 MB
  22. Tue Apr 10 11:30:30 2018 commencing duplicate removal, pass 1
  23. 1377 errors
  24. Tue Apr 10 12:00:39 2018 skipped 927 relations with composite factors
  25. Tue Apr 10 12:00:39 2018 found 47162252 hash collisions in 235777974 relations
  26. Tue Apr 10 12:00:52 2018 added 1219182 free relations
  27. Tue Apr 10 12:00:52 2018 commencing duplicate removal, pass 2
  28. Tue Apr 10 12:04:49 2018 found 46720490 duplicates and 190276666 unique relations
  29. Tue Apr 10 12:04:49 2018 memory use: 1321.5 MB
  30. Tue Apr 10 12:04:49 2018 reading ideals above 720000
  31. Tue Apr 10 12:04:50 2018 commencing singleton removal, initial pass
  32. Tue Apr 10 12:39:07 2018 memory use: 5512.0 MB
  33. Tue Apr 10 12:39:07 2018 reading all ideals from disk
  34. Tue Apr 10 12:39:13 2018 memory use: 7462.2 MB
  35. Tue Apr 10 12:40:09 2018 keeping 173197307 ideals with weight <= 200, target excess is 965944
  36. Tue Apr 10 12:41:10 2018 commencing in-memory singleton removal
  37. Tue Apr 10 12:41:53 2018 begin with 190276666 relations and 173197307 unique ideals
  38. Tue Apr 10 12:51:11 2018 reduce to 121219340 relations and 96857469 ideals in 15 passes
  39. Tue Apr 10 12:51:11 2018 max relations containing the same ideal: 160
  40. Tue Apr 10 12:53:44 2018 removing 10849895 relations and 8849895 ideals in 2000000 cliques
  41. Tue Apr 10 12:53:48 2018 commencing in-memory singleton removal
  42. Tue Apr 10 12:54:13 2018 begin with 110369445 relations and 96857469 unique ideals
  43. Tue Apr 10 12:58:11 2018 reduce to 109662055 relations and 87285621 ideals in 8 passes
  44. Tue Apr 10 12:58:11 2018 max relations containing the same ideal: 148
  45. Tue Apr 10 13:00:32 2018 removing 8229936 relations and 6229936 ideals in 2000000 cliques
  46. Tue Apr 10 13:00:38 2018 commencing in-memory singleton removal
  47. Tue Apr 10 13:00:57 2018 begin with 101432119 relations and 87285621 unique ideals
  48. Tue Apr 10 13:04:03 2018 reduce to 100959450 relations and 80574387 ideals in 7 passes
  49. Tue Apr 10 13:04:03 2018 max relations containing the same ideal: 140
  50. Tue Apr 10 13:06:08 2018 removing 7449020 relations and 5449020 ideals in 2000000 cliques
  51. Tue Apr 10 13:06:14 2018 commencing in-memory singleton removal
  52. Tue Apr 10 13:06:32 2018 begin with 93510430 relations and 80574387 unique ideals
  53. Tue Apr 10 13:09:17 2018 reduce to 93095032 relations and 74702364 ideals in 7 passes
  54. Tue Apr 10 13:09:17 2018 max relations containing the same ideal: 133
  55. Tue Apr 10 13:11:17 2018 removing 7049381 relations and 5049381 ideals in 2000000 cliques
  56. Tue Apr 10 13:11:20 2018 commencing in-memory singleton removal
  57. Tue Apr 10 13:11:36 2018 begin with 86045651 relations and 74702364 unique ideals
  58. Tue Apr 10 13:13:53 2018 reduce to 85654356 relations and 69254159 ideals in 7 passes
  59. Tue Apr 10 13:13:53 2018 max relations containing the same ideal: 124
  60. Tue Apr 10 13:15:37 2018 removing 6803694 relations and 4803694 ideals in 2000000 cliques
  61. Tue Apr 10 13:15:40 2018 commencing in-memory singleton removal
  62. Tue Apr 10 13:15:54 2018 begin with 78850662 relations and 69254159 unique ideals
  63. Tue Apr 10 13:18:15 2018 reduce to 78467286 relations and 64059251 ideals in 7 passes
  64. Tue Apr 10 13:18:15 2018 max relations containing the same ideal: 118
  65. Tue Apr 10 13:19:53 2018 removing 6628912 relations and 4628912 ideals in 2000000 cliques
  66. Tue Apr 10 13:19:56 2018 commencing in-memory singleton removal
  67. Tue Apr 10 13:20:10 2018 begin with 71838374 relations and 64059251 unique ideals
  68. Tue Apr 10 13:21:51 2018 reduce to 71454429 relations and 59037826 ideals in 6 passes
  69. Tue Apr 10 13:21:51 2018 max relations containing the same ideal: 111
  70. Tue Apr 10 13:23:23 2018 removing 6503676 relations and 4503676 ideals in 2000000 cliques
  71. Tue Apr 10 13:23:27 2018 commencing in-memory singleton removal
  72. Tue Apr 10 13:23:39 2018 begin with 64950753 relations and 59037826 unique ideals
  73. Tue Apr 10 13:25:27 2018 reduce to 64556979 relations and 54130794 ideals in 7 passes
  74. Tue Apr 10 13:25:27 2018 max relations containing the same ideal: 104
  75. Tue Apr 10 13:26:51 2018 removing 6406211 relations and 4406211 ideals in 2000000 cliques
  76. Tue Apr 10 13:26:54 2018 commencing in-memory singleton removal
  77. Tue Apr 10 13:27:05 2018 begin with 58150768 relations and 54130794 unique ideals
  78. Tue Apr 10 13:28:33 2018 reduce to 57740360 relations and 49303123 ideals in 7 passes
  79. Tue Apr 10 13:28:33 2018 max relations containing the same ideal: 94
  80. Tue Apr 10 13:29:52 2018 removing 6336506 relations and 4336506 ideals in 2000000 cliques
  81. Tue Apr 10 13:29:55 2018 commencing in-memory singleton removal
  82. Tue Apr 10 13:30:03 2018 begin with 51403854 relations and 49303123 unique ideals
  83. Tue Apr 10 13:31:17 2018 reduce to 50964562 relations and 44514557 ideals in 7 passes
  84. Tue Apr 10 13:31:17 2018 max relations containing the same ideal: 90
  85. Tue Apr 10 13:32:21 2018 removing 6285235 relations and 4285235 ideals in 2000000 cliques
  86. Tue Apr 10 13:32:24 2018 commencing in-memory singleton removal
  87. Tue Apr 10 13:32:32 2018 begin with 44679327 relations and 44514557 unique ideals
  88. Tue Apr 10 13:33:41 2018 reduce to 44194220 relations and 39727977 ideals in 7 passes
  89. Tue Apr 10 13:33:41 2018 max relations containing the same ideal: 78
  90. Tue Apr 10 13:34:40 2018 removing 6250008 relations and 4250008 ideals in 2000000 cliques
  91. Tue Apr 10 13:34:42 2018 commencing in-memory singleton removal
  92. Tue Apr 10 13:34:50 2018 begin with 37944212 relations and 39727977 unique ideals
  93. Tue Apr 10 13:35:54 2018 reduce to 37385169 relations and 34897720 ideals in 8 passes
  94. Tue Apr 10 13:35:54 2018 max relations containing the same ideal: 71
  95. Tue Apr 10 13:36:42 2018 removing 4570007 relations and 3203054 ideals in 1366953 cliques
  96. Tue Apr 10 13:36:45 2018 commencing in-memory singleton removal
  97. Tue Apr 10 13:36:50 2018 begin with 32815162 relations and 34897720 unique ideals
  98. Tue Apr 10 13:37:38 2018 reduce to 32437060 relations and 31304538 ideals in 7 passes
  99. Tue Apr 10 13:37:38 2018 max relations containing the same ideal: 65
  100. Tue Apr 10 13:38:20 2018 removing 80971 relations and 68945 ideals in 12026 cliques
  101. Tue Apr 10 13:38:22 2018 commencing in-memory singleton removal
  102. Tue Apr 10 13:38:27 2018 begin with 32356089 relations and 31304538 unique ideals
  103. Tue Apr 10 13:38:53 2018 reduce to 32355966 relations and 31235470 ideals in 4 passes
  104. Tue Apr 10 13:38:53 2018 max relations containing the same ideal: 65
  105. Tue Apr 10 13:39:00 2018 relations with 0 large ideals: 35369
  106. Tue Apr 10 13:39:00 2018 relations with 1 large ideals: 28960
  107. Tue Apr 10 13:39:00 2018 relations with 2 large ideals: 309271
  108. Tue Apr 10 13:39:00 2018 relations with 3 large ideals: 1665528
  109. Tue Apr 10 13:39:00 2018 relations with 4 large ideals: 4776848
  110. Tue Apr 10 13:39:00 2018 relations with 5 large ideals: 8082652
  111. Tue Apr 10 13:39:00 2018 relations with 6 large ideals: 8454778
  112. Tue Apr 10 13:39:00 2018 relations with 7+ large ideals: 9002560
  113. Tue Apr 10 13:39:00 2018 commencing 2-way merge
  114. Tue Apr 10 13:39:46 2018 reduce to 21668717 relation sets and 20548221 unique ideals
  115. Tue Apr 10 13:39:46 2018 commencing full merge
  116. Tue Apr 10 13:52:05 2018 memory use: 2463.5 MB
  117. Tue Apr 10 13:52:12 2018 found 11666557 cycles, need 11512421
  118. Tue Apr 10 13:52:19 2018 weight of 11512421 cycles is about 806076164 (70.02/cycle)
  119. Tue Apr 10 13:52:19 2018 distribution of cycle lengths:
  120. Tue Apr 10 13:52:19 2018 1 relations: 1131391
  121. Tue Apr 10 13:52:19 2018 2 relations: 1356634
  122. Tue Apr 10 13:52:19 2018 3 relations: 1453739
  123. Tue Apr 10 13:52:19 2018 4 relations: 1414388
  124. Tue Apr 10 13:52:19 2018 5 relations: 1336854
  125. Tue Apr 10 13:52:19 2018 6 relations: 1181208
  126. Tue Apr 10 13:52:19 2018 7 relations: 995395
  127. Tue Apr 10 13:52:19 2018 8 relations: 796218
  128. Tue Apr 10 13:52:19 2018 9 relations: 604317
  129. Tue Apr 10 13:52:19 2018 10+ relations: 1242277
  130. Tue Apr 10 13:52:19 2018 heaviest cycle: 18 relations
  131. Tue Apr 10 13:52:28 2018 commencing cycle optimization
  132. Tue Apr 10 13:53:14 2018 start with 60587481 relations
  133. Tue Apr 10 13:56:20 2018 pruned 1663740 relations
  134. Tue Apr 10 13:56:22 2018 memory use: 1964.9 MB
  135. Tue Apr 10 13:56:22 2018 distribution of cycle lengths:
  136. Tue Apr 10 13:56:22 2018 1 relations: 1131391
  137. Tue Apr 10 13:56:22 2018 2 relations: 1385195
  138. Tue Apr 10 13:56:22 2018 3 relations: 1509091
  139. Tue Apr 10 13:56:22 2018 4 relations: 1458340
  140. Tue Apr 10 13:56:22 2018 5 relations: 1383383
  141. Tue Apr 10 13:56:22 2018 6 relations: 1208246
  142. Tue Apr 10 13:56:22 2018 7 relations: 1009181
  143. Tue Apr 10 13:56:22 2018 8 relations: 789003
  144. Tue Apr 10 13:56:22 2018 9 relations: 583543
  145. Tue Apr 10 13:56:22 2018 10+ relations: 1055048
  146. Tue Apr 10 13:56:22 2018 heaviest cycle: 18 relations
  147. Tue Apr 10 13:57:07 2018 RelProcTime: 8797
  148. Tue Apr 10 13:57:21 2018 elapsed time 02:26:52
  149. Tue Apr 10 13:57:21 2018
  150. Tue Apr 10 13:57:21 2018
  151. Tue Apr 10 13:57:21 2018 Msieve v. 1.53 (SVN 993)
  152. Tue Apr 10 13:57:21 2018 random seeds: 42ac4a0a 5a1a36fb
  153. Tue Apr 10 13:57:21 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  154. Tue Apr 10 13:57:22 2018 no P-1/P+1/ECM available, skipping
  155. Tue Apr 10 13:57:22 2018 commencing number field sieve (210-digit input)
  156. Tue Apr 10 13:57:22 2018 R0: 1672329586132739856823834563328853274397
  157. Tue Apr 10 13:57:22 2018 R1: -1
  158. Tue Apr 10 13:57:22 2018 A0: -401173
  159. Tue Apr 10 13:57:22 2018 A1: 0
  160. Tue Apr 10 13:57:22 2018 A2: 0
  161. Tue Apr 10 13:57:22 2018 A3: 0
  162. Tue Apr 10 13:57:22 2018 A4: 0
  163. Tue Apr 10 13:57:22 2018 A5: 0
  164. Tue Apr 10 13:57:22 2018 A6: 1
  165. Tue Apr 10 13:57:22 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  166. Tue Apr 10 13:57:22 2018
  167. Tue Apr 10 13:57:22 2018 commencing relation filtering
  168. Tue Apr 10 13:57:22 2018 setting target matrix density to 134.0
  169. Tue Apr 10 13:57:22 2018 estimated available RAM is 64113.1 MB
  170. Tue Apr 10 13:57:22 2018 commencing duplicate removal, pass 1
  171. 1377 errors
  172. Tue Apr 10 14:26:00 2018 skipped 927 relations with composite factors
  173. Tue Apr 10 14:26:00 2018 found 47242085 hash collisions in 236997156 relations
  174. Tue Apr 10 14:26:09 2018 commencing duplicate removal, pass 2
  175. Tue Apr 10 14:29:40 2018 found 46720490 duplicates and 190276666 unique relations
  176. Tue Apr 10 14:29:40 2018 memory use: 1321.5 MB
  177. Tue Apr 10 14:29:40 2018 reading ideals above 720000
  178. Tue Apr 10 14:29:40 2018 commencing singleton removal, initial pass
  179. Tue Apr 10 15:01:55 2018 memory use: 5512.0 MB
  180. Tue Apr 10 15:01:56 2018 reading all ideals from disk
  181. Tue Apr 10 15:02:01 2018 memory use: 7462.2 MB
  182. Tue Apr 10 15:02:55 2018 keeping 173197307 ideals with weight <= 200, target excess is 965944
  183. Tue Apr 10 15:03:48 2018 commencing in-memory singleton removal
  184. Tue Apr 10 15:04:29 2018 begin with 190276666 relations and 173197307 unique ideals
  185. Tue Apr 10 15:12:36 2018 reduce to 121219340 relations and 96857469 ideals in 15 passes
  186. Tue Apr 10 15:12:36 2018 max relations containing the same ideal: 160
  187. Tue Apr 10 15:14:55 2018 removing 10849895 relations and 8849895 ideals in 2000000 cliques
  188. Tue Apr 10 15:14:59 2018 commencing in-memory singleton removal
  189. Tue Apr 10 15:15:20 2018 begin with 110369445 relations and 96857469 unique ideals
  190. Tue Apr 10 15:18:47 2018 reduce to 109662055 relations and 87285621 ideals in 8 passes
  191. Tue Apr 10 15:18:47 2018 max relations containing the same ideal: 148
  192. Tue Apr 10 15:20:54 2018 removing 8229936 relations and 6229936 ideals in 2000000 cliques
  193. Tue Apr 10 15:20:58 2018 commencing in-memory singleton removal
  194. Tue Apr 10 15:21:16 2018 begin with 101432119 relations and 87285621 unique ideals
  195. Tue Apr 10 15:23:58 2018 reduce to 100959450 relations and 80574387 ideals in 7 passes
  196. Tue Apr 10 15:23:58 2018 max relations containing the same ideal: 140
  197. Tue Apr 10 15:25:53 2018 removing 7449020 relations and 5449020 ideals in 2000000 cliques
  198. Tue Apr 10 15:25:57 2018 commencing in-memory singleton removal
  199. Tue Apr 10 15:26:13 2018 begin with 93510430 relations and 80574387 unique ideals
  200. Tue Apr 10 15:28:41 2018 reduce to 93095032 relations and 74702364 ideals in 7 passes
  201. Tue Apr 10 15:28:41 2018 max relations containing the same ideal: 133
  202. Tue Apr 10 15:30:28 2018 removing 7049381 relations and 5049381 ideals in 2000000 cliques
  203. Tue Apr 10 15:30:31 2018 commencing in-memory singleton removal
  204. Tue Apr 10 15:30:46 2018 begin with 86045651 relations and 74702364 unique ideals
  205. Tue Apr 10 15:32:59 2018 reduce to 85654356 relations and 69254159 ideals in 7 passes
  206. Tue Apr 10 15:32:59 2018 max relations containing the same ideal: 124
  207. Tue Apr 10 15:34:37 2018 removing 6803694 relations and 4803694 ideals in 2000000 cliques
  208. Tue Apr 10 15:34:40 2018 commencing in-memory singleton removal
  209. Tue Apr 10 15:34:54 2018 begin with 78850662 relations and 69254159 unique ideals
  210. Tue Apr 10 15:36:49 2018 reduce to 78467286 relations and 64059251 ideals in 7 passes
  211. Tue Apr 10 15:36:49 2018 max relations containing the same ideal: 118
  212. Tue Apr 10 15:38:21 2018 removing 6628912 relations and 4628912 ideals in 2000000 cliques
  213. Tue Apr 10 15:38:24 2018 commencing in-memory singleton removal
  214. Tue Apr 10 15:38:37 2018 begin with 71838374 relations and 64059251 unique ideals
  215. Tue Apr 10 15:40:01 2018 reduce to 71454429 relations and 59037826 ideals in 6 passes
  216. Tue Apr 10 15:40:01 2018 max relations containing the same ideal: 111
  217. Tue Apr 10 15:41:28 2018 removing 6503676 relations and 4503676 ideals in 2000000 cliques
  218. Tue Apr 10 15:41:32 2018 commencing in-memory singleton removal
  219. Tue Apr 10 15:41:43 2018 begin with 64950753 relations and 59037826 unique ideals
  220. Tue Apr 10 15:43:18 2018 reduce to 64556979 relations and 54130794 ideals in 7 passes
  221. Tue Apr 10 15:43:18 2018 max relations containing the same ideal: 104
  222. Tue Apr 10 15:44:32 2018 removing 6406211 relations and 4406211 ideals in 2000000 cliques
  223. Tue Apr 10 15:44:35 2018 commencing in-memory singleton removal
  224. Tue Apr 10 15:44:46 2018 begin with 58150768 relations and 54130794 unique ideals
  225. Tue Apr 10 15:46:06 2018 reduce to 57740360 relations and 49303123 ideals in 7 passes
  226. Tue Apr 10 15:46:06 2018 max relations containing the same ideal: 94
  227. Tue Apr 10 15:47:14 2018 removing 6336506 relations and 4336506 ideals in 2000000 cliques
  228. Tue Apr 10 15:47:17 2018 commencing in-memory singleton removal
  229. Tue Apr 10 15:47:25 2018 begin with 51403854 relations and 49303123 unique ideals
  230. Tue Apr 10 15:48:37 2018 reduce to 50964562 relations and 44514557 ideals in 7 passes
  231. Tue Apr 10 15:48:37 2018 max relations containing the same ideal: 90
  232. Tue Apr 10 15:49:37 2018 removing 6285235 relations and 4285235 ideals in 2000000 cliques
  233. Tue Apr 10 15:49:40 2018 commencing in-memory singleton removal
  234. Tue Apr 10 15:49:49 2018 begin with 44679327 relations and 44514557 unique ideals
  235. Tue Apr 10 15:50:49 2018 reduce to 44194220 relations and 39727977 ideals in 7 passes
  236. Tue Apr 10 15:50:49 2018 max relations containing the same ideal: 78
  237. Tue Apr 10 15:51:43 2018 removing 6250008 relations and 4250008 ideals in 2000000 cliques
  238. Tue Apr 10 15:51:46 2018 commencing in-memory singleton removal
  239. Tue Apr 10 15:51:51 2018 begin with 37944212 relations and 39727977 unique ideals
  240. Tue Apr 10 15:52:48 2018 reduce to 37385169 relations and 34897720 ideals in 8 passes
  241. Tue Apr 10 15:52:48 2018 max relations containing the same ideal: 71
  242. Tue Apr 10 15:53:32 2018 removing 4570007 relations and 3203054 ideals in 1366953 cliques
  243. Tue Apr 10 15:53:34 2018 commencing in-memory singleton removal
  244. Tue Apr 10 15:53:39 2018 begin with 32815162 relations and 34897720 unique ideals
  245. Tue Apr 10 15:54:25 2018 reduce to 32437060 relations and 31304538 ideals in 7 passes
  246. Tue Apr 10 15:54:25 2018 max relations containing the same ideal: 65
  247. Tue Apr 10 15:55:03 2018 removing 80971 relations and 68945 ideals in 12026 cliques
  248. Tue Apr 10 15:55:05 2018 commencing in-memory singleton removal
  249. Tue Apr 10 15:55:10 2018 begin with 32356089 relations and 31304538 unique ideals
  250. Tue Apr 10 15:55:35 2018 reduce to 32355966 relations and 31235470 ideals in 4 passes
  251. Tue Apr 10 15:55:35 2018 max relations containing the same ideal: 65
  252. Tue Apr 10 15:55:42 2018 relations with 0 large ideals: 35369
  253. Tue Apr 10 15:55:42 2018 relations with 1 large ideals: 28960
  254. Tue Apr 10 15:55:42 2018 relations with 2 large ideals: 309271
  255. Tue Apr 10 15:55:42 2018 relations with 3 large ideals: 1665528
  256. Tue Apr 10 15:55:42 2018 relations with 4 large ideals: 4776848
  257. Tue Apr 10 15:55:42 2018 relations with 5 large ideals: 8082652
  258. Tue Apr 10 15:55:42 2018 relations with 6 large ideals: 8454778
  259. Tue Apr 10 15:55:42 2018 relations with 7+ large ideals: 9002560
  260. Tue Apr 10 15:55:42 2018 commencing 2-way merge
  261. Tue Apr 10 15:56:25 2018 reduce to 21668717 relation sets and 20548221 unique ideals
  262. Tue Apr 10 15:56:25 2018 commencing full merge
  263. Tue Apr 10 16:32:14 2018 memory use: 958.9 MB
  264. Tue Apr 10 16:32:15 2018 found 69753 cycles, need 4846929
  265. Tue Apr 10 16:32:15 2018 too few cycles, matrix probably cannot build
  266. Tue Apr 10 16:32:15 2018
  267. Tue Apr 10 16:32:15 2018
  268. Tue Apr 10 16:32:15 2018 Msieve v. 1.53 (SVN 993)
  269. Tue Apr 10 16:32:15 2018 random seeds: 96974f9e c3f8fb4d
  270. Tue Apr 10 16:32:15 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  271. Tue Apr 10 16:32:16 2018 no P-1/P+1/ECM available, skipping
  272. Tue Apr 10 16:32:16 2018 commencing number field sieve (210-digit input)
  273. Tue Apr 10 16:32:16 2018 R0: 1672329586132739856823834563328853274397
  274. Tue Apr 10 16:32:16 2018 R1: -1
  275. Tue Apr 10 16:32:16 2018 A0: -401173
  276. Tue Apr 10 16:32:16 2018 A1: 0
  277. Tue Apr 10 16:32:16 2018 A2: 0
  278. Tue Apr 10 16:32:16 2018 A3: 0
  279. Tue Apr 10 16:32:16 2018 A4: 0
  280. Tue Apr 10 16:32:16 2018 A5: 0
  281. Tue Apr 10 16:32:16 2018 A6: 1
  282. Tue Apr 10 16:32:16 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  283. Tue Apr 10 16:32:16 2018
  284. Tue Apr 10 16:32:16 2018 commencing relation filtering
  285. Tue Apr 10 16:32:16 2018 setting target matrix density to 102.0
  286. Tue Apr 10 16:32:16 2018 estimated available RAM is 64113.1 MB
  287. Tue Apr 10 16:32:16 2018 commencing duplicate removal, pass 1
  288. 1377 errors
  289. Tue Apr 10 17:00:41 2018 skipped 927 relations with composite factors
  290. Tue Apr 10 17:00:41 2018 found 47242085 hash collisions in 236997156 relations
  291. Tue Apr 10 17:00:51 2018 commencing duplicate removal, pass 2
  292. Tue Apr 10 17:04:11 2018 found 46720490 duplicates and 190276666 unique relations
  293. Tue Apr 10 17:04:11 2018 memory use: 1321.5 MB
  294. Tue Apr 10 17:04:11 2018 reading ideals above 720000
  295. Tue Apr 10 17:04:11 2018 commencing singleton removal, initial pass
  296. Tue Apr 10 17:34:34 2018 memory use: 5512.0 MB
  297. Tue Apr 10 17:34:34 2018 reading all ideals from disk
  298. Tue Apr 10 17:34:40 2018 memory use: 7462.2 MB
  299. Tue Apr 10 17:35:32 2018 keeping 173197307 ideals with weight <= 200, target excess is 965944
  300. Tue Apr 10 17:36:22 2018 commencing in-memory singleton removal
  301. Tue Apr 10 17:37:02 2018 begin with 190276666 relations and 173197307 unique ideals
  302. Tue Apr 10 17:44:43 2018 reduce to 121219340 relations and 96857469 ideals in 15 passes
  303. Tue Apr 10 17:44:43 2018 max relations containing the same ideal: 160
  304. Tue Apr 10 17:46:59 2018 removing 10849895 relations and 8849895 ideals in 2000000 cliques
  305. Tue Apr 10 17:47:02 2018 commencing in-memory singleton removal
  306. Tue Apr 10 17:47:26 2018 begin with 110369445 relations and 96857469 unique ideals
  307. Tue Apr 10 17:50:38 2018 reduce to 109662055 relations and 87285621 ideals in 8 passes
  308. Tue Apr 10 17:50:38 2018 max relations containing the same ideal: 148
  309. Tue Apr 10 17:52:37 2018 removing 8229936 relations and 6229936 ideals in 2000000 cliques
  310. Tue Apr 10 17:52:41 2018 commencing in-memory singleton removal
  311. Tue Apr 10 17:53:02 2018 begin with 101432119 relations and 87285621 unique ideals
  312. Tue Apr 10 17:55:33 2018 reduce to 100959450 relations and 80574387 ideals in 7 passes
  313. Tue Apr 10 17:55:33 2018 max relations containing the same ideal: 140
  314. Tue Apr 10 17:57:25 2018 removing 7449020 relations and 5449020 ideals in 2000000 cliques
  315. Tue Apr 10 17:57:29 2018 commencing in-memory singleton removal
  316. Tue Apr 10 17:57:45 2018 begin with 93510430 relations and 80574387 unique ideals
  317. Tue Apr 10 18:00:00 2018 reduce to 93095032 relations and 74702364 ideals in 7 passes
  318. Tue Apr 10 18:00:00 2018 max relations containing the same ideal: 133
  319. Tue Apr 10 18:01:45 2018 removing 7049381 relations and 5049381 ideals in 2000000 cliques
  320. Tue Apr 10 18:01:48 2018 commencing in-memory singleton removal
  321. Tue Apr 10 18:02:04 2018 begin with 86045651 relations and 74702364 unique ideals
  322. Tue Apr 10 18:04:06 2018 reduce to 85654356 relations and 69254159 ideals in 7 passes
  323. Tue Apr 10 18:04:06 2018 max relations containing the same ideal: 124
  324. Tue Apr 10 18:05:39 2018 removing 6803694 relations and 4803694 ideals in 2000000 cliques
  325. Tue Apr 10 18:05:42 2018 commencing in-memory singleton removal
  326. Tue Apr 10 18:05:57 2018 begin with 78850662 relations and 69254159 unique ideals
  327. Tue Apr 10 18:07:46 2018 reduce to 78467286 relations and 64059251 ideals in 7 passes
  328. Tue Apr 10 18:07:46 2018 max relations containing the same ideal: 118
  329. Tue Apr 10 18:09:13 2018 removing 6628912 relations and 4628912 ideals in 2000000 cliques
  330. Tue Apr 10 18:09:17 2018 commencing in-memory singleton removal
  331. Tue Apr 10 18:09:28 2018 begin with 71838374 relations and 64059251 unique ideals
  332. Tue Apr 10 18:10:55 2018 reduce to 71454429 relations and 59037826 ideals in 6 passes
  333. Tue Apr 10 18:10:55 2018 max relations containing the same ideal: 111
  334. Tue Apr 10 18:12:15 2018 removing 6503676 relations and 4503676 ideals in 2000000 cliques
  335. Tue Apr 10 18:12:18 2018 commencing in-memory singleton removal
  336. Tue Apr 10 18:12:31 2018 begin with 64950753 relations and 59037826 unique ideals
  337. Tue Apr 10 18:13:54 2018 reduce to 64556979 relations and 54130794 ideals in 7 passes
  338. Tue Apr 10 18:13:54 2018 max relations containing the same ideal: 104
  339. Tue Apr 10 18:15:08 2018 removing 6406211 relations and 4406211 ideals in 2000000 cliques
  340. Tue Apr 10 18:15:11 2018 commencing in-memory singleton removal
  341. Tue Apr 10 18:15:20 2018 begin with 58150768 relations and 54130794 unique ideals
  342. Tue Apr 10 18:16:38 2018 reduce to 57740360 relations and 49303123 ideals in 7 passes
  343. Tue Apr 10 18:16:38 2018 max relations containing the same ideal: 94
  344. Tue Apr 10 18:17:44 2018 removing 6336506 relations and 4336506 ideals in 2000000 cliques
  345. Tue Apr 10 18:17:47 2018 commencing in-memory singleton removal
  346. Tue Apr 10 18:17:55 2018 begin with 51403854 relations and 49303123 unique ideals
  347. Tue Apr 10 18:19:04 2018 reduce to 50964562 relations and 44514557 ideals in 7 passes
  348. Tue Apr 10 18:19:04 2018 max relations containing the same ideal: 90
  349. Tue Apr 10 18:20:06 2018 removing 6285235 relations and 4285235 ideals in 2000000 cliques
  350. Tue Apr 10 18:20:09 2018 commencing in-memory singleton removal
  351. Tue Apr 10 18:20:16 2018 begin with 44679327 relations and 44514557 unique ideals
  352. Tue Apr 10 18:21:13 2018 reduce to 44194220 relations and 39727977 ideals in 7 passes
  353. Tue Apr 10 18:21:13 2018 max relations containing the same ideal: 78
  354. Tue Apr 10 18:22:02 2018 removing 6250008 relations and 4250008 ideals in 2000000 cliques
  355. Tue Apr 10 18:22:04 2018 commencing in-memory singleton removal
  356. Tue Apr 10 18:22:12 2018 begin with 37944212 relations and 39727977 unique ideals
  357. Tue Apr 10 18:23:05 2018 reduce to 37385169 relations and 34897720 ideals in 8 passes
  358. Tue Apr 10 18:23:05 2018 max relations containing the same ideal: 71
  359. Tue Apr 10 18:23:47 2018 removing 4570007 relations and 3203054 ideals in 1366953 cliques
  360. Tue Apr 10 18:23:49 2018 commencing in-memory singleton removal
  361. Tue Apr 10 18:23:56 2018 begin with 32815162 relations and 34897720 unique ideals
  362. Tue Apr 10 18:24:35 2018 reduce to 32437060 relations and 31304538 ideals in 7 passes
  363. Tue Apr 10 18:24:35 2018 max relations containing the same ideal: 65
  364. Tue Apr 10 18:25:12 2018 removing 80971 relations and 68945 ideals in 12026 cliques
  365. Tue Apr 10 18:25:14 2018 commencing in-memory singleton removal
  366. Tue Apr 10 18:25:19 2018 begin with 32356089 relations and 31304538 unique ideals
  367. Tue Apr 10 18:25:42 2018 reduce to 32355966 relations and 31235470 ideals in 4 passes
  368. Tue Apr 10 18:25:42 2018 max relations containing the same ideal: 65
  369. Tue Apr 10 18:25:49 2018 relations with 0 large ideals: 35369
  370. Tue Apr 10 18:25:49 2018 relations with 1 large ideals: 28960
  371. Tue Apr 10 18:25:49 2018 relations with 2 large ideals: 309271
  372. Tue Apr 10 18:25:49 2018 relations with 3 large ideals: 1665528
  373. Tue Apr 10 18:25:49 2018 relations with 4 large ideals: 4776848
  374. Tue Apr 10 18:25:49 2018 relations with 5 large ideals: 8082652
  375. Tue Apr 10 18:25:49 2018 relations with 6 large ideals: 8454778
  376. Tue Apr 10 18:25:49 2018 relations with 7+ large ideals: 9002560
  377. Tue Apr 10 18:25:49 2018 commencing 2-way merge
  378. Tue Apr 10 18:26:32 2018 reduce to 21668717 relation sets and 20548221 unique ideals
  379. Tue Apr 10 18:26:32 2018 commencing full merge
  380. Tue Apr 10 18:42:14 2018 memory use: 2603.5 MB
  381. Tue Apr 10 18:42:18 2018 found 10267172 cycles, need 10134421
  382. Tue Apr 10 18:42:25 2018 weight of 10134421 cycles is about 1033918559 (102.02/cycle)
  383. Tue Apr 10 18:42:25 2018 distribution of cycle lengths:
  384. Tue Apr 10 18:42:25 2018 1 relations: 478884
  385. Tue Apr 10 18:42:25 2018 2 relations: 704421
  386. Tue Apr 10 18:42:25 2018 3 relations: 833744
  387. Tue Apr 10 18:42:25 2018 4 relations: 870887
  388. Tue Apr 10 18:42:25 2018 5 relations: 890251
  389. Tue Apr 10 18:42:25 2018 6 relations: 875547
  390. Tue Apr 10 18:42:25 2018 7 relations: 835244
  391. Tue Apr 10 18:42:25 2018 8 relations: 777128
  392. Tue Apr 10 18:42:25 2018 9 relations: 702757
  393. Tue Apr 10 18:42:25 2018 10+ relations: 3165558
  394. Tue Apr 10 18:42:25 2018 heaviest cycle: 26 relations
  395. Tue Apr 10 18:42:33 2018 commencing cycle optimization
  396. Tue Apr 10 18:43:11 2018 start with 77803207 relations
  397. Tue Apr 10 18:48:28 2018 pruned 3287206 relations
  398. Tue Apr 10 18:48:30 2018 memory use: 2145.9 MB
  399. Tue Apr 10 18:48:30 2018 distribution of cycle lengths:
  400. Tue Apr 10 18:48:30 2018 1 relations: 478884
  401. Tue Apr 10 18:48:30 2018 2 relations: 722518
  402. Tue Apr 10 18:48:30 2018 3 relations: 870612
  403. Tue Apr 10 18:48:30 2018 4 relations: 908393
  404. Tue Apr 10 18:48:30 2018 5 relations: 936390
  405. Tue Apr 10 18:48:30 2018 6 relations: 916678
  406. Tue Apr 10 18:48:30 2018 7 relations: 877752
  407. Tue Apr 10 18:48:30 2018 8 relations: 809121
  408. Tue Apr 10 18:48:30 2018 9 relations: 726588
  409. Tue Apr 10 18:48:30 2018 10+ relations: 2887485
  410. Tue Apr 10 18:48:30 2018 heaviest cycle: 26 relations
  411. Tue Apr 10 18:49:13 2018 RelProcTime: 8217
  412. Tue Apr 10 18:49:23 2018 elapsed time 02:17:08
  413. Tue Apr 10 18:49:23 2018
  414. Tue Apr 10 18:49:23 2018
  415. Tue Apr 10 18:49:23 2018 Msieve v. 1.53 (SVN 993)
  416. Tue Apr 10 18:49:23 2018 random seeds: 30bfac78 ccb6935f
  417. Tue Apr 10 18:49:23 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  418. Tue Apr 10 18:49:24 2018 no P-1/P+1/ECM available, skipping
  419. Tue Apr 10 18:49:24 2018 commencing number field sieve (210-digit input)
  420. Tue Apr 10 18:49:24 2018 R0: 1672329586132739856823834563328853274397
  421. Tue Apr 10 18:49:24 2018 R1: -1
  422. Tue Apr 10 18:49:24 2018 A0: -401173
  423. Tue Apr 10 18:49:24 2018 A1: 0
  424. Tue Apr 10 18:49:24 2018 A2: 0
  425. Tue Apr 10 18:49:24 2018 A3: 0
  426. Tue Apr 10 18:49:24 2018 A4: 0
  427. Tue Apr 10 18:49:24 2018 A5: 0
  428. Tue Apr 10 18:49:24 2018 A6: 1
  429. Tue Apr 10 18:49:24 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  430. Tue Apr 10 18:49:24 2018
  431. Tue Apr 10 18:49:24 2018 commencing relation filtering
  432. Tue Apr 10 18:49:24 2018 setting target matrix density to 118.0
  433. Tue Apr 10 18:49:24 2018 estimated available RAM is 64113.1 MB
  434. Tue Apr 10 18:49:24 2018 commencing duplicate removal, pass 1
  435. 1377 errors
  436. Tue Apr 10 19:19:19 2018 skipped 927 relations with composite factors
  437. Tue Apr 10 19:19:19 2018 found 47242085 hash collisions in 236997156 relations
  438. Tue Apr 10 19:19:30 2018 commencing duplicate removal, pass 2
  439. Tue Apr 10 19:22:48 2018 found 46720490 duplicates and 190276666 unique relations
  440. Tue Apr 10 19:22:48 2018 memory use: 1321.5 MB
  441. Tue Apr 10 19:22:48 2018 reading ideals above 720000
  442. Tue Apr 10 19:22:48 2018 commencing singleton removal, initial pass
  443. Tue Apr 10 19:54:34 2018 memory use: 5512.0 MB
  444. Tue Apr 10 19:54:35 2018 reading all ideals from disk
  445. Tue Apr 10 19:54:40 2018 memory use: 7462.2 MB
  446. Tue Apr 10 19:55:33 2018 keeping 173197307 ideals with weight <= 200, target excess is 965944
  447. Tue Apr 10 19:56:26 2018 commencing in-memory singleton removal
  448. Tue Apr 10 19:57:04 2018 begin with 190276666 relations and 173197307 unique ideals
  449. Tue Apr 10 20:04:49 2018 reduce to 121219340 relations and 96857469 ideals in 15 passes
  450. Tue Apr 10 20:04:49 2018 max relations containing the same ideal: 160
  451. Tue Apr 10 20:07:01 2018 removing 10849895 relations and 8849895 ideals in 2000000 cliques
  452. Tue Apr 10 20:07:05 2018 commencing in-memory singleton removal
  453. Tue Apr 10 20:07:26 2018 begin with 110369445 relations and 96857469 unique ideals
  454. Tue Apr 10 20:10:44 2018 reduce to 109662055 relations and 87285621 ideals in 8 passes
  455. Tue Apr 10 20:10:44 2018 max relations containing the same ideal: 148
  456. Tue Apr 10 20:12:42 2018 removing 8229936 relations and 6229936 ideals in 2000000 cliques
  457. Tue Apr 10 20:12:46 2018 commencing in-memory singleton removal
  458. Tue Apr 10 20:13:04 2018 begin with 101432119 relations and 87285621 unique ideals
  459. Tue Apr 10 20:15:38 2018 reduce to 100959450 relations and 80574387 ideals in 7 passes
  460. Tue Apr 10 20:15:38 2018 max relations containing the same ideal: 140
  461. Tue Apr 10 20:17:27 2018 removing 7449020 relations and 5449020 ideals in 2000000 cliques
  462. Tue Apr 10 20:17:31 2018 commencing in-memory singleton removal
  463. Tue Apr 10 20:17:48 2018 begin with 93510430 relations and 80574387 unique ideals
  464. Tue Apr 10 20:20:02 2018 reduce to 93095032 relations and 74702364 ideals in 7 passes
  465. Tue Apr 10 20:20:02 2018 max relations containing the same ideal: 133
  466. Tue Apr 10 20:21:44 2018 removing 7049381 relations and 5049381 ideals in 2000000 cliques
  467. Tue Apr 10 20:21:49 2018 commencing in-memory singleton removal
  468. Tue Apr 10 20:22:03 2018 begin with 86045651 relations and 74702364 unique ideals
  469. Tue Apr 10 20:24:07 2018 reduce to 85654356 relations and 69254159 ideals in 7 passes
  470. Tue Apr 10 20:24:07 2018 max relations containing the same ideal: 124
  471. Tue Apr 10 20:25:39 2018 removing 6803694 relations and 4803694 ideals in 2000000 cliques
  472. Tue Apr 10 20:25:44 2018 commencing in-memory singleton removal
  473. Tue Apr 10 20:25:57 2018 begin with 78850662 relations and 69254159 unique ideals
  474. Tue Apr 10 20:27:42 2018 reduce to 78467286 relations and 64059251 ideals in 7 passes
  475. Tue Apr 10 20:27:42 2018 max relations containing the same ideal: 118
  476. Tue Apr 10 20:29:09 2018 removing 6628912 relations and 4628912 ideals in 2000000 cliques
  477. Tue Apr 10 20:29:12 2018 commencing in-memory singleton removal
  478. Tue Apr 10 20:29:23 2018 begin with 71838374 relations and 64059251 unique ideals
  479. Tue Apr 10 20:30:56 2018 reduce to 71454429 relations and 59037826 ideals in 6 passes
  480. Tue Apr 10 20:30:56 2018 max relations containing the same ideal: 111
  481. Tue Apr 10 20:32:17 2018 removing 6503676 relations and 4503676 ideals in 2000000 cliques
  482. Tue Apr 10 20:32:20 2018 commencing in-memory singleton removal
  483. Tue Apr 10 20:32:32 2018 begin with 64950753 relations and 59037826 unique ideals
  484. Tue Apr 10 20:33:59 2018 reduce to 64556979 relations and 54130794 ideals in 7 passes
  485. Tue Apr 10 20:33:59 2018 max relations containing the same ideal: 104
  486. Tue Apr 10 20:35:10 2018 removing 6406211 relations and 4406211 ideals in 2000000 cliques
  487. Tue Apr 10 20:35:13 2018 commencing in-memory singleton removal
  488. Tue Apr 10 20:35:24 2018 begin with 58150768 relations and 54130794 unique ideals
  489. Tue Apr 10 20:36:44 2018 reduce to 57740360 relations and 49303123 ideals in 7 passes
  490. Tue Apr 10 20:36:44 2018 max relations containing the same ideal: 94
  491. Tue Apr 10 20:37:50 2018 removing 6336506 relations and 4336506 ideals in 2000000 cliques
  492. Tue Apr 10 20:37:53 2018 commencing in-memory singleton removal
  493. Tue Apr 10 20:38:01 2018 begin with 51403854 relations and 49303123 unique ideals
  494. Tue Apr 10 20:39:10 2018 reduce to 50964562 relations and 44514557 ideals in 7 passes
  495. Tue Apr 10 20:39:10 2018 max relations containing the same ideal: 90
  496. Tue Apr 10 20:40:10 2018 removing 6285235 relations and 4285235 ideals in 2000000 cliques
  497. Tue Apr 10 20:40:12 2018 commencing in-memory singleton removal
  498. Tue Apr 10 20:40:20 2018 begin with 44679327 relations and 44514557 unique ideals
  499. Tue Apr 10 20:41:15 2018 reduce to 44194220 relations and 39727977 ideals in 7 passes
  500. Tue Apr 10 20:41:15 2018 max relations containing the same ideal: 78
  501. Tue Apr 10 20:42:05 2018 removing 6250008 relations and 4250008 ideals in 2000000 cliques
  502. Tue Apr 10 20:42:08 2018 commencing in-memory singleton removal
  503. Tue Apr 10 20:42:13 2018 begin with 37944212 relations and 39727977 unique ideals
  504. Tue Apr 10 20:43:05 2018 reduce to 37385169 relations and 34897720 ideals in 8 passes
  505. Tue Apr 10 20:43:05 2018 max relations containing the same ideal: 71
  506. Tue Apr 10 20:43:47 2018 removing 4570007 relations and 3203054 ideals in 1366953 cliques
  507. Tue Apr 10 20:43:50 2018 commencing in-memory singleton removal
  508. Tue Apr 10 20:43:55 2018 begin with 32815162 relations and 34897720 unique ideals
  509. Tue Apr 10 20:44:35 2018 reduce to 32437060 relations and 31304538 ideals in 7 passes
  510. Tue Apr 10 20:44:35 2018 max relations containing the same ideal: 65
  511. Tue Apr 10 20:45:11 2018 removing 80971 relations and 68945 ideals in 12026 cliques
  512. Tue Apr 10 20:45:13 2018 commencing in-memory singleton removal
  513. Tue Apr 10 20:45:17 2018 begin with 32356089 relations and 31304538 unique ideals
  514. Tue Apr 10 20:45:40 2018 reduce to 32355966 relations and 31235470 ideals in 4 passes
  515. Tue Apr 10 20:45:40 2018 max relations containing the same ideal: 65
  516. Tue Apr 10 20:45:47 2018 relations with 0 large ideals: 35369
  517. Tue Apr 10 20:45:47 2018 relations with 1 large ideals: 28960
  518. Tue Apr 10 20:45:47 2018 relations with 2 large ideals: 309271
  519. Tue Apr 10 20:45:47 2018 relations with 3 large ideals: 1665528
  520. Tue Apr 10 20:45:47 2018 relations with 4 large ideals: 4776848
  521. Tue Apr 10 20:45:47 2018 relations with 5 large ideals: 8082652
  522. Tue Apr 10 20:45:47 2018 relations with 6 large ideals: 8454778
  523. Tue Apr 10 20:45:47 2018 relations with 7+ large ideals: 9002560
  524. Tue Apr 10 20:45:47 2018 commencing 2-way merge
  525. Tue Apr 10 20:46:28 2018 reduce to 21668717 relation sets and 20548221 unique ideals
  526. Tue Apr 10 20:46:28 2018 commencing full merge
  527. Tue Apr 10 21:04:51 2018 memory use: 2647.8 MB
  528. Tue Apr 10 21:04:56 2018 found 9779726 cycles, need 9694421
  529. Tue Apr 10 21:05:02 2018 weight of 9694421 cycles is about 1143978178 (118.00/cycle)
  530. Tue Apr 10 21:05:02 2018 distribution of cycle lengths:
  531. Tue Apr 10 21:05:02 2018 1 relations: 344126
  532. Tue Apr 10 21:05:02 2018 2 relations: 537203
  533. Tue Apr 10 21:05:02 2018 3 relations: 661257
  534. Tue Apr 10 21:05:02 2018 4 relations: 706266
  535. Tue Apr 10 21:05:02 2018 5 relations: 737157
  536. Tue Apr 10 21:05:02 2018 6 relations: 738889
  537. Tue Apr 10 21:05:02 2018 7 relations: 729547
  538. Tue Apr 10 21:05:02 2018 8 relations: 699456
  539. Tue Apr 10 21:05:02 2018 9 relations: 656841
  540. Tue Apr 10 21:05:02 2018 10+ relations: 3883679
  541. Tue Apr 10 21:05:02 2018 heaviest cycle: 28 relations
  542. Tue Apr 10 21:05:08 2018 commencing cycle optimization
  543. Tue Apr 10 21:05:51 2018 start with 85945364 relations
  544. Tue Apr 10 21:13:03 2018 pruned 4171482 relations
  545. Tue Apr 10 21:13:03 2018 memory use: 2226.2 MB
  546. Tue Apr 10 21:13:04 2018 distribution of cycle lengths:
  547. Tue Apr 10 21:13:04 2018 1 relations: 344126
  548. Tue Apr 10 21:13:04 2018 2 relations: 551862
  549. Tue Apr 10 21:13:04 2018 3 relations: 691050
  550. Tue Apr 10 21:13:04 2018 4 relations: 738932
  551. Tue Apr 10 21:13:04 2018 5 relations: 778014
  552. Tue Apr 10 21:13:04 2018 6 relations: 779119
  553. Tue Apr 10 21:13:04 2018 7 relations: 773167
  554. Tue Apr 10 21:13:04 2018 8 relations: 737313
  555. Tue Apr 10 21:13:04 2018 9 relations: 690322
  556. Tue Apr 10 21:13:04 2018 10+ relations: 3610516
  557. Tue Apr 10 21:13:04 2018 heaviest cycle: 28 relations
  558. Tue Apr 10 21:13:49 2018 RelProcTime: 8665
  559. Tue Apr 10 21:13:59 2018 elapsed time 02:24:36
  560. Tue Apr 10 21:13:59 2018
  561. Tue Apr 10 21:13:59 2018
  562. Tue Apr 10 21:13:59 2018 Msieve v. 1.53 (SVN 993)
  563. Tue Apr 10 21:13:59 2018 random seeds: 59d73ca5 0056079e
  564. Tue Apr 10 21:13:59 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  565. Tue Apr 10 21:14:00 2018 no P-1/P+1/ECM available, skipping
  566. Tue Apr 10 21:14:00 2018 commencing number field sieve (210-digit input)
  567. Tue Apr 10 21:14:00 2018 R0: 1672329586132739856823834563328853274397
  568. Tue Apr 10 21:14:00 2018 R1: -1
  569. Tue Apr 10 21:14:00 2018 A0: -401173
  570. Tue Apr 10 21:14:00 2018 A1: 0
  571. Tue Apr 10 21:14:00 2018 A2: 0
  572. Tue Apr 10 21:14:00 2018 A3: 0
  573. Tue Apr 10 21:14:00 2018 A4: 0
  574. Tue Apr 10 21:14:00 2018 A5: 0
  575. Tue Apr 10 21:14:00 2018 A6: 1
  576. Tue Apr 10 21:14:00 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  577. Tue Apr 10 21:14:00 2018
  578. Tue Apr 10 21:14:00 2018 commencing relation filtering
  579. Tue Apr 10 21:14:00 2018 setting target matrix density to 126.0
  580. Tue Apr 10 21:14:00 2018 estimated available RAM is 64113.1 MB
  581. Tue Apr 10 21:14:00 2018 commencing duplicate removal, pass 1
  582. 1377 errors
  583. Tue Apr 10 21:43:58 2018 skipped 927 relations with composite factors
  584. Tue Apr 10 21:43:58 2018 found 47242085 hash collisions in 236997156 relations
  585. Tue Apr 10 21:44:08 2018 commencing duplicate removal, pass 2
  586. Tue Apr 10 21:47:37 2018 found 46720490 duplicates and 190276666 unique relations
  587. Tue Apr 10 21:47:37 2018 memory use: 1321.5 MB
  588. Tue Apr 10 21:47:37 2018 reading ideals above 720000
  589. Tue Apr 10 21:47:37 2018 commencing singleton removal, initial pass
  590. Tue Apr 10 22:20:46 2018 memory use: 5512.0 MB
  591. Tue Apr 10 22:20:46 2018 reading all ideals from disk
  592. Tue Apr 10 22:20:59 2018 memory use: 7462.2 MB
  593. Tue Apr 10 22:21:56 2018 keeping 173197307 ideals with weight <= 200, target excess is 965944
  594. Tue Apr 10 22:22:54 2018 commencing in-memory singleton removal
  595. Tue Apr 10 22:23:37 2018 begin with 190276666 relations and 173197307 unique ideals
  596. Tue Apr 10 22:32:17 2018 reduce to 121219340 relations and 96857469 ideals in 15 passes
  597. Tue Apr 10 22:32:17 2018 max relations containing the same ideal: 160
  598. Tue Apr 10 22:34:52 2018 removing 10849895 relations and 8849895 ideals in 2000000 cliques
  599. Tue Apr 10 22:34:56 2018 commencing in-memory singleton removal
  600. Tue Apr 10 22:35:20 2018 begin with 110369445 relations and 96857469 unique ideals
  601. Tue Apr 10 22:39:29 2018 reduce to 109662055 relations and 87285621 ideals in 8 passes
  602. Tue Apr 10 22:39:29 2018 max relations containing the same ideal: 148
  603. Tue Apr 10 22:41:46 2018 removing 8229936 relations and 6229936 ideals in 2000000 cliques
  604. Tue Apr 10 22:41:51 2018 commencing in-memory singleton removal
  605. Tue Apr 10 22:42:10 2018 begin with 101432119 relations and 87285621 unique ideals
  606. Tue Apr 10 22:45:14 2018 reduce to 100959450 relations and 80574387 ideals in 7 passes
  607. Tue Apr 10 22:45:14 2018 max relations containing the same ideal: 140
  608. Tue Apr 10 22:47:26 2018 removing 7449020 relations and 5449020 ideals in 2000000 cliques
  609. Tue Apr 10 22:47:30 2018 commencing in-memory singleton removal
  610. Tue Apr 10 22:47:47 2018 begin with 93510430 relations and 80574387 unique ideals
  611. Tue Apr 10 22:50:31 2018 reduce to 93095032 relations and 74702364 ideals in 7 passes
  612. Tue Apr 10 22:50:31 2018 max relations containing the same ideal: 133
  613. Tue Apr 10 22:52:29 2018 removing 7049381 relations and 5049381 ideals in 2000000 cliques
  614. Tue Apr 10 22:52:33 2018 commencing in-memory singleton removal
  615. Tue Apr 10 22:52:49 2018 begin with 86045651 relations and 74702364 unique ideals
  616. Tue Apr 10 22:55:14 2018 reduce to 85654356 relations and 69254159 ideals in 7 passes
  617. Tue Apr 10 22:55:14 2018 max relations containing the same ideal: 124
  618. Tue Apr 10 22:57:04 2018 removing 6803694 relations and 4803694 ideals in 2000000 cliques
  619. Tue Apr 10 22:57:08 2018 commencing in-memory singleton removal
  620. Tue Apr 10 22:57:23 2018 begin with 78850662 relations and 69254159 unique ideals
  621. Tue Apr 10 22:59:51 2018 reduce to 78467286 relations and 64059251 ideals in 7 passes
  622. Tue Apr 10 22:59:51 2018 max relations containing the same ideal: 118
  623. Tue Apr 10 23:01:27 2018 removing 6628912 relations and 4628912 ideals in 2000000 cliques
  624. Tue Apr 10 23:01:31 2018 commencing in-memory singleton removal
  625. Tue Apr 10 23:01:45 2018 begin with 71838374 relations and 64059251 unique ideals
  626. Tue Apr 10 23:03:24 2018 reduce to 71454429 relations and 59037826 ideals in 6 passes
  627. Tue Apr 10 23:03:24 2018 max relations containing the same ideal: 111
  628. Tue Apr 10 23:04:49 2018 removing 6503676 relations and 4503676 ideals in 2000000 cliques
  629. Tue Apr 10 23:04:52 2018 commencing in-memory singleton removal
  630. Tue Apr 10 23:05:05 2018 begin with 64950753 relations and 59037826 unique ideals
  631. Tue Apr 10 23:06:39 2018 reduce to 64556979 relations and 54130794 ideals in 7 passes
  632. Tue Apr 10 23:06:39 2018 max relations containing the same ideal: 104
  633. Tue Apr 10 23:07:54 2018 removing 6406211 relations and 4406211 ideals in 2000000 cliques
  634. Tue Apr 10 23:07:57 2018 commencing in-memory singleton removal
  635. Tue Apr 10 23:08:07 2018 begin with 58150768 relations and 54130794 unique ideals
  636. Tue Apr 10 23:09:29 2018 reduce to 57740360 relations and 49303123 ideals in 7 passes
  637. Tue Apr 10 23:09:29 2018 max relations containing the same ideal: 94
  638. Tue Apr 10 23:10:36 2018 removing 6336506 relations and 4336506 ideals in 2000000 cliques
  639. Tue Apr 10 23:10:39 2018 commencing in-memory singleton removal
  640. Tue Apr 10 23:10:47 2018 begin with 51403854 relations and 49303123 unique ideals
  641. Tue Apr 10 23:12:00 2018 reduce to 50964562 relations and 44514557 ideals in 7 passes
  642. Tue Apr 10 23:12:00 2018 max relations containing the same ideal: 90
  643. Tue Apr 10 23:13:00 2018 removing 6285235 relations and 4285235 ideals in 2000000 cliques
  644. Tue Apr 10 23:13:03 2018 commencing in-memory singleton removal
  645. Tue Apr 10 23:13:12 2018 begin with 44679327 relations and 44514557 unique ideals
  646. Tue Apr 10 23:14:10 2018 reduce to 44194220 relations and 39727977 ideals in 7 passes
  647. Tue Apr 10 23:14:10 2018 max relations containing the same ideal: 78
  648. Tue Apr 10 23:15:03 2018 removing 6250008 relations and 4250008 ideals in 2000000 cliques
  649. Tue Apr 10 23:15:06 2018 commencing in-memory singleton removal
  650. Tue Apr 10 23:15:13 2018 begin with 37944212 relations and 39727977 unique ideals
  651. Tue Apr 10 23:16:10 2018 reduce to 37385169 relations and 34897720 ideals in 8 passes
  652. Tue Apr 10 23:16:10 2018 max relations containing the same ideal: 71
  653. Tue Apr 10 23:16:53 2018 removing 4570007 relations and 3203054 ideals in 1366953 cliques
  654. Tue Apr 10 23:16:56 2018 commencing in-memory singleton removal
  655. Tue Apr 10 23:17:01 2018 begin with 32815162 relations and 34897720 unique ideals
  656. Tue Apr 10 23:17:49 2018 reduce to 32437060 relations and 31304538 ideals in 7 passes
  657. Tue Apr 10 23:17:49 2018 max relations containing the same ideal: 65
  658. Tue Apr 10 23:18:27 2018 removing 80971 relations and 68945 ideals in 12026 cliques
  659. Tue Apr 10 23:18:29 2018 commencing in-memory singleton removal
  660. Tue Apr 10 23:18:34 2018 begin with 32356089 relations and 31304538 unique ideals
  661. Tue Apr 10 23:19:01 2018 reduce to 32355966 relations and 31235470 ideals in 4 passes
  662. Tue Apr 10 23:19:01 2018 max relations containing the same ideal: 65
  663. Tue Apr 10 23:19:08 2018 relations with 0 large ideals: 35369
  664. Tue Apr 10 23:19:08 2018 relations with 1 large ideals: 28960
  665. Tue Apr 10 23:19:08 2018 relations with 2 large ideals: 309271
  666. Tue Apr 10 23:19:08 2018 relations with 3 large ideals: 1665528
  667. Tue Apr 10 23:19:08 2018 relations with 4 large ideals: 4776848
  668. Tue Apr 10 23:19:08 2018 relations with 5 large ideals: 8082652
  669. Tue Apr 10 23:19:08 2018 relations with 6 large ideals: 8454778
  670. Tue Apr 10 23:19:08 2018 relations with 7+ large ideals: 9002560
  671. Tue Apr 10 23:19:08 2018 commencing 2-way merge
  672. Tue Apr 10 23:19:52 2018 reduce to 21668717 relation sets and 20548221 unique ideals
  673. Tue Apr 10 23:19:52 2018 commencing full merge
  674. Tue Apr 10 23:39:56 2018 memory use: 2661.4 MB
  675. Tue Apr 10 23:40:00 2018 found 9553557 cycles, need 9508421
  676. Tue Apr 10 23:40:08 2018 weight of 9508421 cycles is about 1198605068 (126.06/cycle)
  677. Tue Apr 10 23:40:08 2018 distribution of cycle lengths:
  678. Tue Apr 10 23:40:08 2018 1 relations: 296670
  679. Tue Apr 10 23:40:08 2018 2 relations: 478495
  680. Tue Apr 10 23:40:08 2018 3 relations: 592725
  681. Tue Apr 10 23:40:08 2018 4 relations: 636517
  682. Tue Apr 10 23:40:08 2018 5 relations: 675504
  683. Tue Apr 10 23:40:08 2018 6 relations: 681539
  684. Tue Apr 10 23:40:08 2018 7 relations: 676629
  685. Tue Apr 10 23:40:08 2018 8 relations: 659961
  686. Tue Apr 10 23:40:08 2018 9 relations: 627601
  687. Tue Apr 10 23:40:08 2018 10+ relations: 4182780
  688. Tue Apr 10 23:40:08 2018 heaviest cycle: 28 relations
  689. Tue Apr 10 23:40:13 2018 commencing cycle optimization
  690. Tue Apr 10 23:40:59 2018 start with 89985676 relations
  691. Tue Apr 10 23:49:08 2018 pruned 4639579 relations
  692. Tue Apr 10 23:49:09 2018 memory use: 2265.5 MB
  693. Tue Apr 10 23:49:09 2018 distribution of cycle lengths:
  694. Tue Apr 10 23:49:09 2018 1 relations: 296670
  695. Tue Apr 10 23:49:09 2018 2 relations: 491648
  696. Tue Apr 10 23:49:09 2018 3 relations: 619436
  697. Tue Apr 10 23:49:09 2018 4 relations: 666712
  698. Tue Apr 10 23:49:09 2018 5 relations: 713940
  699. Tue Apr 10 23:49:09 2018 6 relations: 720194
  700. Tue Apr 10 23:49:09 2018 7 relations: 719827
  701. Tue Apr 10 23:49:09 2018 8 relations: 698523
  702. Tue Apr 10 23:49:09 2018 9 relations: 663725
  703. Tue Apr 10 23:49:09 2018 10+ relations: 3917746
  704. Tue Apr 10 23:49:09 2018 heaviest cycle: 28 relations
  705. Tue Apr 10 23:49:55 2018 RelProcTime: 9355
  706. Tue Apr 10 23:50:04 2018 elapsed time 02:36:05
  707. Tue Apr 10 23:50:04 2018
  708. Tue Apr 10 23:50:04 2018
  709. Tue Apr 10 23:50:04 2018 Msieve v. 1.53 (SVN 993)
  710. Tue Apr 10 23:50:04 2018 random seeds: 19ede6f9 1220062e
  711. Tue Apr 10 23:50:04 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  712. Tue Apr 10 23:50:05 2018 no P-1/P+1/ECM available, skipping
  713. Tue Apr 10 23:50:05 2018 commencing number field sieve (210-digit input)
  714. Tue Apr 10 23:50:05 2018 R0: 1672329586132739856823834563328853274397
  715. Tue Apr 10 23:50:05 2018 R1: -1
  716. Tue Apr 10 23:50:05 2018 A0: -401173
  717. Tue Apr 10 23:50:05 2018 A1: 0
  718. Tue Apr 10 23:50:05 2018 A2: 0
  719. Tue Apr 10 23:50:05 2018 A3: 0
  720. Tue Apr 10 23:50:05 2018 A4: 0
  721. Tue Apr 10 23:50:05 2018 A5: 0
  722. Tue Apr 10 23:50:05 2018 A6: 1
  723. Tue Apr 10 23:50:05 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  724. Tue Apr 10 23:50:05 2018
  725. Tue Apr 10 23:50:05 2018 commencing relation filtering
  726. Tue Apr 10 23:50:05 2018 setting target matrix density to 130.0
  727. Tue Apr 10 23:50:05 2018 estimated available RAM is 64113.1 MB
  728. Tue Apr 10 23:50:05 2018 commencing duplicate removal, pass 1
  729. 1377 errors
  730. Wed Apr 11 00:20:37 2018 skipped 927 relations with composite factors
  731. Wed Apr 11 00:20:37 2018 found 47242085 hash collisions in 236997156 relations
  732. Wed Apr 11 00:20:48 2018 commencing duplicate removal, pass 2
  733. Wed Apr 11 00:24:43 2018 found 46720490 duplicates and 190276666 unique relations
  734. Wed Apr 11 00:24:43 2018 memory use: 1321.5 MB
  735. Wed Apr 11 00:24:43 2018 reading ideals above 720000
  736. Wed Apr 11 00:24:43 2018 commencing singleton removal, initial pass
  737. Wed Apr 11 00:59:17 2018 memory use: 5512.0 MB
  738. Wed Apr 11 00:59:18 2018 reading all ideals from disk
  739. Wed Apr 11 00:59:23 2018 memory use: 7462.2 MB
  740. Wed Apr 11 01:00:22 2018 keeping 173197307 ideals with weight <= 200, target excess is 965944
  741. Wed Apr 11 01:01:21 2018 commencing in-memory singleton removal
  742. Wed Apr 11 01:02:04 2018 begin with 190276666 relations and 173197307 unique ideals
  743. Wed Apr 11 01:11:21 2018 reduce to 121219340 relations and 96857469 ideals in 15 passes
  744. Wed Apr 11 01:11:21 2018 max relations containing the same ideal: 160
  745. Wed Apr 11 01:13:58 2018 removing 10849895 relations and 8849895 ideals in 2000000 cliques
  746. Wed Apr 11 01:14:02 2018 commencing in-memory singleton removal
  747. Wed Apr 11 01:14:26 2018 begin with 110369445 relations and 96857469 unique ideals
  748. Wed Apr 11 01:18:18 2018 reduce to 109662055 relations and 87285621 ideals in 8 passes
  749. Wed Apr 11 01:18:18 2018 max relations containing the same ideal: 148
  750. Wed Apr 11 01:20:34 2018 removing 8229936 relations and 6229936 ideals in 2000000 cliques
  751. Wed Apr 11 01:20:39 2018 commencing in-memory singleton removal
  752. Wed Apr 11 01:21:01 2018 begin with 101432119 relations and 87285621 unique ideals
  753. Wed Apr 11 01:24:00 2018 reduce to 100959450 relations and 80574387 ideals in 7 passes
  754. Wed Apr 11 01:24:00 2018 max relations containing the same ideal: 140
  755. Wed Apr 11 01:26:05 2018 removing 7449020 relations and 5449020 ideals in 2000000 cliques
  756. Wed Apr 11 01:26:09 2018 commencing in-memory singleton removal
  757. Wed Apr 11 01:26:28 2018 begin with 93510430 relations and 80574387 unique ideals
  758. Wed Apr 11 01:29:14 2018 reduce to 93095032 relations and 74702364 ideals in 7 passes
  759. Wed Apr 11 01:29:14 2018 max relations containing the same ideal: 133
  760. Wed Apr 11 01:31:11 2018 removing 7049381 relations and 5049381 ideals in 2000000 cliques
  761. Wed Apr 11 01:31:14 2018 commencing in-memory singleton removal
  762. Wed Apr 11 01:31:32 2018 begin with 86045651 relations and 74702364 unique ideals
  763. Wed Apr 11 01:34:01 2018 reduce to 85654356 relations and 69254159 ideals in 7 passes
  764. Wed Apr 11 01:34:01 2018 max relations containing the same ideal: 124
  765. Wed Apr 11 01:35:48 2018 removing 6803694 relations and 4803694 ideals in 2000000 cliques
  766. Wed Apr 11 01:35:52 2018 commencing in-memory singleton removal
  767. Wed Apr 11 01:36:06 2018 begin with 78850662 relations and 69254159 unique ideals
  768. Wed Apr 11 01:38:15 2018 reduce to 78467286 relations and 64059251 ideals in 7 passes
  769. Wed Apr 11 01:38:15 2018 max relations containing the same ideal: 118
  770. Wed Apr 11 01:39:59 2018 removing 6628912 relations and 4628912 ideals in 2000000 cliques
  771. Wed Apr 11 01:40:03 2018 commencing in-memory singleton removal
  772. Wed Apr 11 01:40:19 2018 begin with 71838374 relations and 64059251 unique ideals
  773. Wed Apr 11 01:42:03 2018 reduce to 71454429 relations and 59037826 ideals in 6 passes
  774. Wed Apr 11 01:42:03 2018 max relations containing the same ideal: 111
  775. Wed Apr 11 01:43:32 2018 removing 6503676 relations and 4503676 ideals in 2000000 cliques
  776. Wed Apr 11 01:43:35 2018 commencing in-memory singleton removal
  777. Wed Apr 11 01:43:47 2018 begin with 64950753 relations and 59037826 unique ideals
  778. Wed Apr 11 01:45:31 2018 reduce to 64556979 relations and 54130794 ideals in 7 passes
  779. Wed Apr 11 01:45:31 2018 max relations containing the same ideal: 104
  780. Wed Apr 11 01:46:55 2018 removing 6406211 relations and 4406211 ideals in 2000000 cliques
  781. Wed Apr 11 01:46:58 2018 commencing in-memory singleton removal
  782. Wed Apr 11 01:47:09 2018 begin with 58150768 relations and 54130794 unique ideals
  783. Wed Apr 11 01:48:38 2018 reduce to 57740360 relations and 49303123 ideals in 7 passes
  784. Wed Apr 11 01:48:38 2018 max relations containing the same ideal: 94
  785. Wed Apr 11 01:49:51 2018 removing 6336506 relations and 4336506 ideals in 2000000 cliques
  786. Wed Apr 11 01:49:54 2018 commencing in-memory singleton removal
  787. Wed Apr 11 01:50:03 2018 begin with 51403854 relations and 49303123 unique ideals
  788. Wed Apr 11 01:51:28 2018 reduce to 50964562 relations and 44514557 ideals in 7 passes
  789. Wed Apr 11 01:51:28 2018 max relations containing the same ideal: 90
  790. Wed Apr 11 01:52:34 2018 removing 6285235 relations and 4285235 ideals in 2000000 cliques
  791. Wed Apr 11 01:52:37 2018 commencing in-memory singleton removal
  792. Wed Apr 11 01:52:44 2018 begin with 44679327 relations and 44514557 unique ideals
  793. Wed Apr 11 01:53:53 2018 reduce to 44194220 relations and 39727977 ideals in 7 passes
  794. Wed Apr 11 01:53:53 2018 max relations containing the same ideal: 78
  795. Wed Apr 11 01:54:50 2018 removing 6250008 relations and 4250008 ideals in 2000000 cliques
  796. Wed Apr 11 01:54:52 2018 commencing in-memory singleton removal
  797. Wed Apr 11 01:54:59 2018 begin with 37944212 relations and 39727977 unique ideals
  798. Wed Apr 11 01:56:03 2018 reduce to 37385169 relations and 34897720 ideals in 8 passes
  799. Wed Apr 11 01:56:03 2018 max relations containing the same ideal: 71
  800. Wed Apr 11 01:56:51 2018 removing 4570007 relations and 3203054 ideals in 1366953 cliques
  801. Wed Apr 11 01:56:53 2018 commencing in-memory singleton removal
  802. Wed Apr 11 01:57:01 2018 begin with 32815162 relations and 34897720 unique ideals
  803. Wed Apr 11 01:57:52 2018 reduce to 32437060 relations and 31304538 ideals in 7 passes
  804. Wed Apr 11 01:57:52 2018 max relations containing the same ideal: 65
  805. Wed Apr 11 01:58:35 2018 removing 80971 relations and 68945 ideals in 12026 cliques
  806. Wed Apr 11 01:58:38 2018 commencing in-memory singleton removal
  807. Wed Apr 11 01:58:43 2018 begin with 32356089 relations and 31304538 unique ideals
  808. Wed Apr 11 01:59:13 2018 reduce to 32355966 relations and 31235470 ideals in 4 passes
  809. Wed Apr 11 01:59:13 2018 max relations containing the same ideal: 65
  810. Wed Apr 11 01:59:21 2018 relations with 0 large ideals: 35369
  811. Wed Apr 11 01:59:21 2018 relations with 1 large ideals: 28960
  812. Wed Apr 11 01:59:21 2018 relations with 2 large ideals: 309271
  813. Wed Apr 11 01:59:21 2018 relations with 3 large ideals: 1665528
  814. Wed Apr 11 01:59:21 2018 relations with 4 large ideals: 4776848
  815. Wed Apr 11 01:59:21 2018 relations with 5 large ideals: 8082652
  816. Wed Apr 11 01:59:21 2018 relations with 6 large ideals: 8454778
  817. Wed Apr 11 01:59:21 2018 relations with 7+ large ideals: 9002560
  818. Wed Apr 11 01:59:21 2018 commencing 2-way merge
  819. Wed Apr 11 02:00:07 2018 reduce to 21668717 relation sets and 20548221 unique ideals
  820. Wed Apr 11 02:00:07 2018 commencing full merge
  821. Wed Apr 11 02:21:14 2018 memory use: 2666.0 MB
  822. Wed Apr 11 02:21:18 2018 found 9446204 cycles, need 9424421
  823. Wed Apr 11 02:21:23 2018 weight of 9424421 cycles is about 1225287521 (130.01/cycle)
  824. Wed Apr 11 02:21:23 2018 distribution of cycle lengths:
  825. Wed Apr 11 02:21:23 2018 1 relations: 277261
  826. Wed Apr 11 02:21:23 2018 2 relations: 452696
  827. Wed Apr 11 02:21:23 2018 3 relations: 562217
  828. Wed Apr 11 02:21:23 2018 4 relations: 608481
  829. Wed Apr 11 02:21:23 2018 5 relations: 647368
  830. Wed Apr 11 02:21:23 2018 6 relations: 654914
  831. Wed Apr 11 02:21:23 2018 7 relations: 653884
  832. Wed Apr 11 02:21:23 2018 8 relations: 639880
  833. Wed Apr 11 02:21:23 2018 9 relations: 613498
  834. Wed Apr 11 02:21:23 2018 10+ relations: 4314222
  835. Wed Apr 11 02:21:23 2018 heaviest cycle: 28 relations
  836. Wed Apr 11 02:21:29 2018 commencing cycle optimization
  837. Wed Apr 11 02:22:19 2018 start with 91917993 relations
  838. Wed Apr 11 02:31:07 2018 pruned 4863572 relations
  839. Wed Apr 11 02:31:07 2018 memory use: 2284.2 MB
  840. Wed Apr 11 02:31:07 2018 distribution of cycle lengths:
  841. Wed Apr 11 02:31:07 2018 1 relations: 277261
  842. Wed Apr 11 02:31:07 2018 2 relations: 465152
  843. Wed Apr 11 02:31:07 2018 3 relations: 587642
  844. Wed Apr 11 02:31:07 2018 4 relations: 637420
  845. Wed Apr 11 02:31:07 2018 5 relations: 684981
  846. Wed Apr 11 02:31:07 2018 6 relations: 692767
  847. Wed Apr 11 02:31:07 2018 7 relations: 696078
  848. Wed Apr 11 02:31:07 2018 8 relations: 678935
  849. Wed Apr 11 02:31:07 2018 9 relations: 650410
  850. Wed Apr 11 02:31:07 2018 10+ relations: 4053775
  851. Wed Apr 11 02:31:07 2018 heaviest cycle: 28 relations
  852. Wed Apr 11 02:32:05 2018 RelProcTime: 9720
  853. Wed Apr 11 02:32:05 2018 elapsed time 02:42:01
  854. Wed Apr 11 02:32:05 2018
  855. Wed Apr 11 02:32:05 2018
  856. Wed Apr 11 02:32:05 2018 Msieve v. 1.53 (SVN 993)
  857. Wed Apr 11 02:32:05 2018 random seeds: e681a4ed de610cd4
  858. Wed Apr 11 02:32:05 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  859. Wed Apr 11 02:32:06 2018 no P-1/P+1/ECM available, skipping
  860. Wed Apr 11 02:32:06 2018 commencing number field sieve (210-digit input)
  861. Wed Apr 11 02:32:06 2018 R0: 1672329586132739856823834563328853274397
  862. Wed Apr 11 02:32:06 2018 R1: -1
  863. Wed Apr 11 02:32:06 2018 A0: -401173
  864. Wed Apr 11 02:32:06 2018 A1: 0
  865. Wed Apr 11 02:32:06 2018 A2: 0
  866. Wed Apr 11 02:32:06 2018 A3: 0
  867. Wed Apr 11 02:32:06 2018 A4: 0
  868. Wed Apr 11 02:32:06 2018 A5: 0
  869. Wed Apr 11 02:32:06 2018 A6: 1
  870. Wed Apr 11 02:32:06 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  871. Wed Apr 11 02:32:06 2018
  872. Wed Apr 11 02:32:06 2018 commencing relation filtering
  873. Wed Apr 11 02:32:06 2018 setting target matrix density to 132.0
  874. Wed Apr 11 02:32:06 2018 estimated available RAM is 64113.1 MB
  875. Wed Apr 11 02:32:06 2018 commencing duplicate removal, pass 1
  876. 1377 errors
  877. Wed Apr 11 03:01:02 2018 skipped 927 relations with composite factors
  878. Wed Apr 11 03:01:02 2018 found 47242085 hash collisions in 236997156 relations
  879. Wed Apr 11 03:01:11 2018 commencing duplicate removal, pass 2
  880. Wed Apr 11 03:04:41 2018 found 46720490 duplicates and 190276666 unique relations
  881. Wed Apr 11 03:04:41 2018 memory use: 1321.5 MB
  882. Wed Apr 11 03:04:41 2018 reading ideals above 720000
  883. Wed Apr 11 03:04:41 2018 commencing singleton removal, initial pass
  884. Wed Apr 11 03:36:30 2018 memory use: 5512.0 MB
  885. Wed Apr 11 03:36:30 2018 reading all ideals from disk
  886. Wed Apr 11 03:36:35 2018 memory use: 7462.2 MB
  887. Wed Apr 11 03:37:31 2018 keeping 173197307 ideals with weight <= 200, target excess is 965944
  888. Wed Apr 11 03:38:26 2018 commencing in-memory singleton removal
  889. Wed Apr 11 03:39:06 2018 begin with 190276666 relations and 173197307 unique ideals
  890. Wed Apr 11 03:47:10 2018 reduce to 121219340 relations and 96857469 ideals in 15 passes
  891. Wed Apr 11 03:47:10 2018 max relations containing the same ideal: 160
  892. Wed Apr 11 03:49:31 2018 removing 10849895 relations and 8849895 ideals in 2000000 cliques
  893. Wed Apr 11 03:49:35 2018 commencing in-memory singleton removal
  894. Wed Apr 11 03:49:58 2018 begin with 110369445 relations and 96857469 unique ideals
  895. Wed Apr 11 03:53:19 2018 reduce to 109662055 relations and 87285621 ideals in 8 passes
  896. Wed Apr 11 03:53:19 2018 max relations containing the same ideal: 148
  897. Wed Apr 11 03:55:28 2018 removing 8229936 relations and 6229936 ideals in 2000000 cliques
  898. Wed Apr 11 03:55:32 2018 commencing in-memory singleton removal
  899. Wed Apr 11 03:55:50 2018 begin with 101432119 relations and 87285621 unique ideals
  900. Wed Apr 11 03:58:32 2018 reduce to 100959450 relations and 80574387 ideals in 7 passes
  901. Wed Apr 11 03:58:32 2018 max relations containing the same ideal: 140
  902. Wed Apr 11 04:00:30 2018 removing 7449020 relations and 5449020 ideals in 2000000 cliques
  903. Wed Apr 11 04:00:33 2018 commencing in-memory singleton removal
  904. Wed Apr 11 04:00:51 2018 begin with 93510430 relations and 80574387 unique ideals
  905. Wed Apr 11 04:03:21 2018 reduce to 93095032 relations and 74702364 ideals in 7 passes
  906. Wed Apr 11 04:03:21 2018 max relations containing the same ideal: 133
  907. Wed Apr 11 04:05:10 2018 removing 7049381 relations and 5049381 ideals in 2000000 cliques
  908. Wed Apr 11 04:05:14 2018 commencing in-memory singleton removal
  909. Wed Apr 11 04:05:30 2018 begin with 86045651 relations and 74702364 unique ideals
  910. Wed Apr 11 04:07:41 2018 reduce to 85654356 relations and 69254159 ideals in 7 passes
  911. Wed Apr 11 04:07:41 2018 max relations containing the same ideal: 124
  912. Wed Apr 11 04:09:21 2018 removing 6803694 relations and 4803694 ideals in 2000000 cliques
  913. Wed Apr 11 04:09:24 2018 commencing in-memory singleton removal
  914. Wed Apr 11 04:09:39 2018 begin with 78850662 relations and 69254159 unique ideals
  915. Wed Apr 11 04:11:37 2018 reduce to 78467286 relations and 64059251 ideals in 7 passes
  916. Wed Apr 11 04:11:37 2018 max relations containing the same ideal: 118
  917. Wed Apr 11 04:13:10 2018 removing 6628912 relations and 4628912 ideals in 2000000 cliques
  918. Wed Apr 11 04:13:13 2018 commencing in-memory singleton removal
  919. Wed Apr 11 04:13:27 2018 begin with 71838374 relations and 64059251 unique ideals
  920. Wed Apr 11 04:14:54 2018 reduce to 71454429 relations and 59037826 ideals in 6 passes
  921. Wed Apr 11 04:14:54 2018 max relations containing the same ideal: 111
  922. Wed Apr 11 04:16:20 2018 removing 6503676 relations and 4503676 ideals in 2000000 cliques
  923. Wed Apr 11 04:16:23 2018 commencing in-memory singleton removal
  924. Wed Apr 11 04:16:34 2018 begin with 64950753 relations and 59037826 unique ideals
  925. Wed Apr 11 04:18:01 2018 reduce to 64556979 relations and 54130794 ideals in 7 passes
  926. Wed Apr 11 04:18:01 2018 max relations containing the same ideal: 104
  927. Wed Apr 11 04:19:19 2018 removing 6406211 relations and 4406211 ideals in 2000000 cliques
  928. Wed Apr 11 04:19:22 2018 commencing in-memory singleton removal
  929. Wed Apr 11 04:19:31 2018 begin with 58150768 relations and 54130794 unique ideals
  930. Wed Apr 11 04:20:55 2018 reduce to 57740360 relations and 49303123 ideals in 7 passes
  931. Wed Apr 11 04:20:55 2018 max relations containing the same ideal: 94
  932. Wed Apr 11 04:22:04 2018 removing 6336506 relations and 4336506 ideals in 2000000 cliques
  933. Wed Apr 11 04:22:07 2018 commencing in-memory singleton removal
  934. Wed Apr 11 04:22:16 2018 begin with 51403854 relations and 49303123 unique ideals
  935. Wed Apr 11 04:23:26 2018 reduce to 50964562 relations and 44514557 ideals in 7 passes
  936. Wed Apr 11 04:23:26 2018 max relations containing the same ideal: 90
  937. Wed Apr 11 04:24:24 2018 removing 6285235 relations and 4285235 ideals in 2000000 cliques
  938. Wed Apr 11 04:24:27 2018 commencing in-memory singleton removal
  939. Wed Apr 11 04:24:34 2018 begin with 44679327 relations and 44514557 unique ideals
  940. Wed Apr 11 04:25:34 2018 reduce to 44194220 relations and 39727977 ideals in 7 passes
  941. Wed Apr 11 04:25:34 2018 max relations containing the same ideal: 78
  942. Wed Apr 11 04:26:24 2018 removing 6250008 relations and 4250008 ideals in 2000000 cliques
  943. Wed Apr 11 04:26:27 2018 commencing in-memory singleton removal
  944. Wed Apr 11 04:26:34 2018 begin with 37944212 relations and 39727977 unique ideals
  945. Wed Apr 11 04:27:29 2018 reduce to 37385169 relations and 34897720 ideals in 8 passes
  946. Wed Apr 11 04:27:29 2018 max relations containing the same ideal: 71
  947. Wed Apr 11 04:28:18 2018 removing 4570007 relations and 3203054 ideals in 1366953 cliques
  948. Wed Apr 11 04:28:20 2018 commencing in-memory singleton removal
  949. Wed Apr 11 04:28:25 2018 begin with 32815162 relations and 34897720 unique ideals
  950. Wed Apr 11 04:29:08 2018 reduce to 32437060 relations and 31304538 ideals in 7 passes
  951. Wed Apr 11 04:29:08 2018 max relations containing the same ideal: 65
  952. Wed Apr 11 04:29:46 2018 removing 80971 relations and 68945 ideals in 12026 cliques
  953. Wed Apr 11 04:29:48 2018 commencing in-memory singleton removal
  954. Wed Apr 11 04:29:53 2018 begin with 32356089 relations and 31304538 unique ideals
  955. Wed Apr 11 04:30:17 2018 reduce to 32355966 relations and 31235470 ideals in 4 passes
  956. Wed Apr 11 04:30:17 2018 max relations containing the same ideal: 65
  957. Wed Apr 11 04:30:24 2018 relations with 0 large ideals: 35369
  958. Wed Apr 11 04:30:24 2018 relations with 1 large ideals: 28960
  959. Wed Apr 11 04:30:24 2018 relations with 2 large ideals: 309271
  960. Wed Apr 11 04:30:24 2018 relations with 3 large ideals: 1665528
  961. Wed Apr 11 04:30:24 2018 relations with 4 large ideals: 4776848
  962. Wed Apr 11 04:30:24 2018 relations with 5 large ideals: 8082652
  963. Wed Apr 11 04:30:24 2018 relations with 6 large ideals: 8454778
  964. Wed Apr 11 04:30:24 2018 relations with 7+ large ideals: 9002560
  965. Wed Apr 11 04:30:24 2018 commencing 2-way merge
  966. Wed Apr 11 04:31:07 2018 reduce to 21668717 relation sets and 20548221 unique ideals
  967. Wed Apr 11 04:31:07 2018 commencing full merge
  968. Wed Apr 11 04:51:45 2018 memory use: 2667.5 MB
  969. Wed Apr 11 04:51:49 2018 found 9390959 cycles, need 9382421
  970. Wed Apr 11 04:51:54 2018 weight of 9382421 cycles is about 1239288600 (132.09/cycle)
  971. Wed Apr 11 04:51:54 2018 distribution of cycle lengths:
  972. Wed Apr 11 04:51:54 2018 1 relations: 265690
  973. Wed Apr 11 04:51:54 2018 2 relations: 436209
  974. Wed Apr 11 04:51:54 2018 3 relations: 550475
  975. Wed Apr 11 04:51:54 2018 4 relations: 595528
  976. Wed Apr 11 04:51:54 2018 5 relations: 632534
  977. Wed Apr 11 04:51:54 2018 6 relations: 642670
  978. Wed Apr 11 04:51:54 2018 7 relations: 643449
  979. Wed Apr 11 04:51:54 2018 8 relations: 630512
  980. Wed Apr 11 04:51:54 2018 9 relations: 605942
  981. Wed Apr 11 04:51:54 2018 10+ relations: 4379412
  982. Wed Apr 11 04:51:54 2018 heaviest cycle: 28 relations
  983. Wed Apr 11 04:52:00 2018 commencing cycle optimization
  984. Wed Apr 11 04:52:46 2018 start with 92920110 relations
  985. Wed Apr 11 05:01:23 2018 pruned 4977110 relations
  986. Wed Apr 11 05:01:24 2018 memory use: 2294.0 MB
  987. Wed Apr 11 05:01:24 2018 distribution of cycle lengths:
  988. Wed Apr 11 05:01:24 2018 1 relations: 265690
  989. Wed Apr 11 05:01:24 2018 2 relations: 448402
  990. Wed Apr 11 05:01:24 2018 3 relations: 575390
  991. Wed Apr 11 05:01:24 2018 4 relations: 623928
  992. Wed Apr 11 05:01:24 2018 5 relations: 669593
  993. Wed Apr 11 05:01:24 2018 6 relations: 680207
  994. Wed Apr 11 05:01:24 2018 7 relations: 685387
  995. Wed Apr 11 05:01:24 2018 8 relations: 669416
  996. Wed Apr 11 05:01:24 2018 9 relations: 643214
  997. Wed Apr 11 05:01:24 2018 10+ relations: 4121194
  998. Wed Apr 11 05:01:24 2018 heaviest cycle: 28 relations
  999. Wed Apr 11 05:02:19 2018 RelProcTime: 9013
  1000. Wed Apr 11 05:02:19 2018 elapsed time 02:30:14
  1001. Wed Apr 11 05:02:19 2018
  1002. Wed Apr 11 05:02:19 2018
  1003. Wed Apr 11 05:02:19 2018 Msieve v. 1.53 (SVN 993)
  1004. Wed Apr 11 05:02:19 2018 random seeds: 2cba5660 aa2bcf5c
  1005. Wed Apr 11 05:02:19 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  1006. Wed Apr 11 05:02:20 2018 no P-1/P+1/ECM available, skipping
  1007. Wed Apr 11 05:02:20 2018 commencing number field sieve (210-digit input)
  1008. Wed Apr 11 05:02:20 2018 R0: 1672329586132739856823834563328853274397
  1009. Wed Apr 11 05:02:20 2018 R1: -1
  1010. Wed Apr 11 05:02:20 2018 A0: -401173
  1011. Wed Apr 11 05:02:20 2018 A1: 0
  1012. Wed Apr 11 05:02:20 2018 A2: 0
  1013. Wed Apr 11 05:02:20 2018 A3: 0
  1014. Wed Apr 11 05:02:20 2018 A4: 0
  1015. Wed Apr 11 05:02:20 2018 A5: 0
  1016. Wed Apr 11 05:02:20 2018 A6: 1
  1017. Wed Apr 11 05:02:20 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  1018. Wed Apr 11 05:02:20 2018
  1019. Wed Apr 11 05:02:20 2018 commencing linear algebra
  1020. Wed Apr 11 05:02:21 2018 read 9382421 cycles
  1021. Wed Apr 11 05:02:44 2018 cycles contain 31802187 unique relations
  1022. Wed Apr 11 05:04:56 2018 read 31802187 relations
  1023. Wed Apr 11 05:05:51 2018 using 20 quadratic characters above 4294917295
  1024. Wed Apr 11 05:08:08 2018 building initial matrix
  1025. Wed Apr 11 05:15:05 2018 memory use: 4019.5 MB
  1026. Wed Apr 11 05:15:10 2018 read 9382421 cycles
  1027. Wed Apr 11 05:15:11 2018 matrix is 9382244 x 9382421 (4741.4 MB) with weight 1367744818 (145.78/col)
  1028. Wed Apr 11 05:15:11 2018 sparse part has weight 1139721592 (121.47/col)
  1029. Wed Apr 11 05:16:54 2018 filtering completed in 2 passes
  1030. Wed Apr 11 05:16:56 2018 matrix is 9382187 x 9382364 (4741.4 MB) with weight 1367742131 (145.78/col)
  1031. Wed Apr 11 05:16:56 2018 sparse part has weight 1139720442 (121.47/col)
  1032. Wed Apr 11 05:17:34 2018 matrix starts at (0, 0)
  1033. Wed Apr 11 05:17:35 2018 matrix is 9382187 x 9382364 (4741.4 MB) with weight 1367742131 (145.78/col)
  1034. Wed Apr 11 05:17:35 2018 sparse part has weight 1139720442 (121.47/col)
  1035. Wed Apr 11 05:17:35 2018 saving the first 48 matrix rows for later
  1036. Wed Apr 11 05:17:37 2018 matrix includes 64 packed rows
  1037. Wed Apr 11 05:17:38 2018 matrix is 9382139 x 9382364 (4546.3 MB) with weight 1186933576 (126.51/col)
  1038. Wed Apr 11 05:17:38 2018 sparse part has weight 1097973418 (117.03/col)
  1039. Wed Apr 11 05:17:38 2018 using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
  1040. Wed Apr 11 05:18:11 2018 commencing Lanczos iteration (14 threads)
  1041. Wed Apr 11 05:18:11 2018 memory use: 3886.0 MB
  1042. Wed Apr 11 05:18:27 2018 linear algebra at 0.0%, ETA 27h37m
  1043. Wed Apr 11 05:18:34 2018 checkpointing every 320000 dimensions
  1044. Thu Apr 12 03:31:36 2018 lanczos halted after 148359 iterations (dim = 9382136)
  1045. Thu Apr 12 03:31:42 2018 recovered 35 nontrivial dependencies
  1046. Thu Apr 12 03:31:42 2018 BLanczosTime: 80962
  1047. Thu Apr 12 03:31:42 2018 elapsed time 22:29:23
  1048. Thu Apr 12 03:31:42 2018
  1049. Thu Apr 12 03:31:42 2018
  1050. Thu Apr 12 03:31:42 2018 Msieve v. 1.53 (SVN 993)
  1051. Thu Apr 12 03:31:42 2018 random seeds: 347cd6cb c3e325e3
  1052. Thu Apr 12 03:31:42 2018 factoring 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021 (210 digits)
  1053. Thu Apr 12 03:31:43 2018 no P-1/P+1/ECM available, skipping
  1054. Thu Apr 12 03:31:43 2018 commencing number field sieve (210-digit input)
  1055. Thu Apr 12 03:31:43 2018 R0: 1672329586132739856823834563328853274397
  1056. Thu Apr 12 03:31:43 2018 R1: -1
  1057. Thu Apr 12 03:31:43 2018 A0: -401173
  1058. Thu Apr 12 03:31:43 2018 A1: 0
  1059. Thu Apr 12 03:31:43 2018 A2: 0
  1060. Thu Apr 12 03:31:43 2018 A3: 0
  1061. Thu Apr 12 03:31:43 2018 A4: 0
  1062. Thu Apr 12 03:31:43 2018 A5: 0
  1063. Thu Apr 12 03:31:43 2018 A6: 1
  1064. Thu Apr 12 03:31:43 2018 skew 8.59, size 4.667e-12, alpha 0.807, combined = 3.773e-13 rroots = 2
  1065. Thu Apr 12 03:31:43 2018
  1066. Thu Apr 12 03:31:43 2018 commencing square root phase
  1067. Thu Apr 12 03:31:43 2018 reading relations for dependency 1
  1068. Thu Apr 12 03:31:44 2018 read 4690559 cycles
  1069. Thu Apr 12 03:31:53 2018 cycles contain 15901334 unique relations
  1070. Thu Apr 12 03:33:06 2018 read 15901334 relations
  1071. Thu Apr 12 03:34:12 2018 multiplying 15901334 relations
  1072. Thu Apr 12 03:41:55 2018 multiply complete, coefficients have about 419.61 million bits
  1073. Thu Apr 12 03:41:56 2018 initial square root is modulo 33812587
  1074. Thu Apr 12 03:50:29 2018 sqrtTime: 1126
  1075. Thu Apr 12 03:50:29 2018 p88 factor: 1841201444665293479393381404264287891977583719549878256713771017683442793965920692607893
  1076. Thu Apr 12 03:50:29 2018 p123 factor: 118336242172607142043906738829640700949209377139907712641412223561977220424619329855357880592424422538389118788954759397897
  1077. Thu Apr 12 03:50:29 2018 elapsed time 00:18:47
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