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C231_148_122 linear algebra log

fivemack Mar 28th, 2019 92 Never
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  1. Mon Mar 18 10:56:48 2019  
  2. Mon Mar 18 10:56:48 2019  
  3. Mon Mar 18 10:56:48 2019  Msieve v. 1.53 (SVN 993)
  4. Mon Mar 18 10:56:48 2019  random seeds: 30155ec8 4887fd38
  5. Mon Mar 18 10:56:48 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  6. Mon Mar 18 10:56:52 2019  no P-1/P+1/ECM available, skipping
  7. Mon Mar 18 10:56:52 2019  commencing number field sieve (231-digit input)
  8. Mon Mar 18 10:56:52 2019  R0: 429779677118633509951347654162867327929881501
  9. Mon Mar 18 10:56:52 2019  R1: -1515355089578305698312110328171790336
  10. Mon Mar 18 10:56:52 2019  A0: 5094049
  11. Mon Mar 18 10:56:52 2019  A1: 0
  12. Mon Mar 18 10:56:52 2019  A2: 0
  13. Mon Mar 18 10:56:52 2019  A3: 0
  14. Mon Mar 18 10:56:52 2019  A4: 0
  15. Mon Mar 18 10:56:52 2019  A5: 0
  16. Mon Mar 18 10:56:52 2019  A6: 1
  17. Mon Mar 18 10:56:52 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  18. Mon Mar 18 10:56:52 2019  
  19. Mon Mar 18 10:56:52 2019  commencing relation filtering
  20. Mon Mar 18 10:56:52 2019  setting target matrix density to 70.0
  21. Mon Mar 18 10:56:52 2019  estimated available RAM is 95375.2 MB
  22. Mon Mar 18 10:56:52 2019  commencing duplicate removal, pass 1
  23.   33 errors
  24. Mon Mar 18 13:39:34 2019  skipped 17 relations with composite factors
  25. Mon Mar 18 13:39:34 2019  found 23678043 hash collisions in 335482517 relations
  26. Mon Mar 18 13:40:32 2019  added 1217734 free relations
  27. Mon Mar 18 13:40:32 2019  commencing duplicate removal, pass 2
  28. Mon Mar 18 13:46:31 2019  found 0 duplicates and 336700251 unique relations
  29. Mon Mar 18 13:46:31 2019  memory use: 1257.5 MB
  30. Mon Mar 18 13:46:32 2019  reading ideals above 720000
  31. Mon Mar 18 13:46:32 2019  commencing singleton removal, initial pass
  32. Mon Mar 18 16:48:24 2019  memory use: 11024.0 MB
  33. Mon Mar 18 16:48:26 2019  reading all ideals from disk
  34. Mon Mar 18 16:48:51 2019  memory use: 14371.9 MB
  35. Mon Mar 18 16:51:30 2019  keeping 330735636 ideals with weight <= 200, target excess is 1787914
  36. Mon Mar 18 16:55:13 2019  commencing in-memory singleton removal
  37. Mon Mar 18 16:57:22 2019  begin with 336700251 relations and 330735636 unique ideals
  38. Mon Mar 18 17:27:51 2019  reduce to 192708245 relations and 169587386 ideals in 17 passes
  39. Mon Mar 18 17:27:51 2019  max relations containing the same ideal: 149
  40. Mon Mar 18 17:34:26 2019  removing 15022317 relations and 13022317 ideals in 2000000 cliques
  41. Mon Mar 18 17:34:42 2019  commencing in-memory singleton removal
  42. Mon Mar 18 17:35:40 2019  begin with 177685928 relations and 169587386 unique ideals
  43. Mon Mar 18 17:48:52 2019  reduce to 176839986 relations and 155707641 ideals in 10 passes
  44. Mon Mar 18 17:48:52 2019  max relations containing the same ideal: 143
  45. Mon Mar 18 17:54:56 2019  removing 11204453 relations and 9204453 ideals in 2000000 cliques
  46. Mon Mar 18 17:55:11 2019  commencing in-memory singleton removal
  47. Mon Mar 18 17:56:04 2019  begin with 165635533 relations and 155707641 unique ideals
  48. Mon Mar 18 18:07:26 2019  reduce to 165103515 relations and 145964962 ideals in 8 passes
  49. Mon Mar 18 18:07:26 2019  max relations containing the same ideal: 133
  50. Mon Mar 18 18:12:57 2019  removing 9996832 relations and 7996832 ideals in 2000000 cliques
  51. Mon Mar 18 18:13:11 2019  commencing in-memory singleton removal
  52. Mon Mar 18 18:13:58 2019  begin with 155106683 relations and 145964962 unique ideals
  53. Mon Mar 18 18:23:25 2019  reduce to 154653200 relations and 137509375 ideals in 8 passes
  54. Mon Mar 18 18:23:25 2019  max relations containing the same ideal: 128
  55. Mon Mar 18 18:30:03 2019  removing 9347015 relations and 7347015 ideals in 2000000 cliques
  56. Mon Mar 18 18:30:16 2019  commencing in-memory singleton removal
  57. Mon Mar 18 18:31:02 2019  begin with 145306185 relations and 137509375 unique ideals
  58. Mon Mar 18 18:38:24 2019  reduce to 144884561 relations and 129735822 ideals in 7 passes
  59. Mon Mar 18 18:38:24 2019  max relations containing the same ideal: 127
  60. Mon Mar 18 18:43:20 2019  removing 8920661 relations and 6920661 ideals in 2000000 cliques
  61. Mon Mar 18 18:43:32 2019  commencing in-memory singleton removal
  62. Mon Mar 18 18:44:14 2019  begin with 135963900 relations and 129735822 unique ideals
  63. Mon Mar 18 18:51:54 2019  reduce to 135559863 relations and 122406104 ideals in 8 passes
  64. Mon Mar 18 18:51:54 2019  max relations containing the same ideal: 122
  65. Mon Mar 18 18:56:30 2019  removing 8611566 relations and 6611566 ideals in 2000000 cliques
  66. Mon Mar 18 18:56:42 2019  commencing in-memory singleton removal
  67. Mon Mar 18 18:57:20 2019  begin with 126948297 relations and 122406104 unique ideals
  68. Mon Mar 18 19:04:22 2019  reduce to 126548213 relations and 115389406 ideals in 8 passes
  69. Mon Mar 18 19:04:22 2019  max relations containing the same ideal: 116
  70. Mon Mar 18 19:08:42 2019  removing 8392664 relations and 6392664 ideals in 2000000 cliques
  71. Mon Mar 18 19:08:53 2019  commencing in-memory singleton removal
  72. Mon Mar 18 19:09:28 2019  begin with 118155549 relations and 115389406 unique ideals
  73. Mon Mar 18 19:15:03 2019  reduce to 117753564 relations and 108589351 ideals in 7 passes
  74. Mon Mar 18 19:15:03 2019  max relations containing the same ideal: 110
  75. Mon Mar 18 19:19:03 2019  removing 8220996 relations and 6220996 ideals in 2000000 cliques
  76. Mon Mar 18 19:19:14 2019  commencing in-memory singleton removal
  77. Mon Mar 18 19:19:46 2019  begin with 109532568 relations and 108589351 unique ideals
  78. Mon Mar 18 19:24:56 2019  reduce to 109121797 relations and 101951697 ideals in 7 passes
  79. Mon Mar 18 19:24:56 2019  max relations containing the same ideal: 107
  80. Mon Mar 18 19:28:39 2019  removing 8097263 relations and 6097263 ideals in 2000000 cliques
  81. Mon Mar 18 19:28:49 2019  commencing in-memory singleton removal
  82. Mon Mar 18 19:29:18 2019  begin with 101024534 relations and 101951697 unique ideals
  83. Mon Mar 18 19:35:20 2019  reduce to 100597721 relations and 95421057 ideals in 9 passes
  84. Mon Mar 18 19:35:20 2019  max relations containing the same ideal: 102
  85. Mon Mar 18 19:38:45 2019  removing 8007246 relations and 6007246 ideals in 2000000 cliques
  86. Mon Mar 18 19:38:55 2019  commencing in-memory singleton removal
  87. Mon Mar 18 19:39:21 2019  begin with 92590475 relations and 95421057 unique ideals
  88. Mon Mar 18 19:43:34 2019  reduce to 92136774 relations and 88952617 ideals in 7 passes
  89. Mon Mar 18 19:43:34 2019  max relations containing the same ideal: 100
  90. Mon Mar 18 19:46:41 2019  removing 4922460 relations and 3812284 ideals in 1110176 cliques
  91. Mon Mar 18 19:46:49 2019  commencing in-memory singleton removal
  92. Mon Mar 18 19:47:14 2019  begin with 87214314 relations and 88952617 unique ideals
  93. Mon Mar 18 19:51:08 2019  reduce to 87034297 relations and 84958421 ideals in 7 passes
  94. Mon Mar 18 19:51:08 2019  max relations containing the same ideal: 97
  95. Mon Mar 18 19:54:45 2019  relations with 0 large ideals: 67827
  96. Mon Mar 18 19:54:45 2019  relations with 1 large ideals: 34574
  97. Mon Mar 18 19:54:45 2019  relations with 2 large ideals: 428084
  98. Mon Mar 18 19:54:45 2019  relations with 3 large ideals: 2609316
  99. Mon Mar 18 19:54:45 2019  relations with 4 large ideals: 8765723
  100. Mon Mar 18 19:54:45 2019  relations with 5 large ideals: 17811851
  101. Mon Mar 18 19:54:45 2019  relations with 6 large ideals: 22923715
  102. Mon Mar 18 19:54:45 2019  relations with 7+ large ideals: 34393207
  103. Mon Mar 18 19:54:45 2019  commencing 2-way merge
  104. Mon Mar 18 19:58:33 2019  reduce to 56769992 relation sets and 54694116 unique ideals
  105. Mon Mar 18 19:58:33 2019  commencing full merge
  106. Mon Mar 18 21:01:41 2019  memory use: 6571.2 MB
  107. Mon Mar 18 21:02:04 2019  found 31331703 cycles, need 31044316
  108. Mon Mar 18 21:02:46 2019  weight of 31044316 cycles is about 2173464774 (70.01/cycle)
  109. Mon Mar 18 21:02:46 2019  distribution of cycle lengths:
  110. Mon Mar 18 21:02:46 2019  1 relations: 4017235
  111. Mon Mar 18 21:02:46 2019  2 relations: 4103622
  112. Mon Mar 18 21:02:46 2019  3 relations: 4108979
  113. Mon Mar 18 21:02:46 2019  4 relations: 3770754
  114. Mon Mar 18 21:02:46 2019  5 relations: 3363670
  115. Mon Mar 18 21:02:46 2019  6 relations: 2926610
  116. Mon Mar 18 21:02:46 2019  7 relations: 2456037
  117. Mon Mar 18 21:02:46 2019  8 relations: 1955635
  118. Mon Mar 18 21:02:46 2019  9 relations: 1485105
  119. Mon Mar 18 21:02:46 2019  10+ relations: 2856669
  120. Mon Mar 18 21:02:46 2019  heaviest cycle: 18 relations
  121. Mon Mar 18 21:03:34 2019  commencing cycle optimization
  122. Mon Mar 18 21:06:27 2019  start with 152377826 relations
  123. Mon Mar 18 21:20:28 2019  pruned 3386866 relations
  124. Mon Mar 18 21:20:30 2019  memory use: 5151.7 MB
  125. Mon Mar 18 21:20:30 2019  distribution of cycle lengths:
  126. Mon Mar 18 21:20:30 2019  1 relations: 4017235
  127. Mon Mar 18 21:20:30 2019  2 relations: 4186847
  128. Mon Mar 18 21:20:30 2019  3 relations: 4249982
  129. Mon Mar 18 21:20:30 2019  4 relations: 3857580
  130. Mon Mar 18 21:20:30 2019  5 relations: 3442958
  131. Mon Mar 18 21:20:30 2019  6 relations: 2962220
  132. Mon Mar 18 21:20:30 2019  7 relations: 2464522
  133. Mon Mar 18 21:20:30 2019  8 relations: 1928328
  134. Mon Mar 18 21:20:30 2019  9 relations: 1437540
  135. Mon Mar 18 21:20:30 2019  10+ relations: 2497104
  136. Mon Mar 18 21:20:30 2019  heaviest cycle: 18 relations
  137. Mon Mar 18 21:23:29 2019  RelProcTime: 37597
  138. Mon Mar 18 21:23:48 2019  elapsed time 10:27:00
  139. Mon Mar 18 21:23:51 2019  
  140. Mon Mar 18 21:23:51 2019  
  141. Mon Mar 18 21:23:51 2019  Msieve v. 1.53 (SVN 993)
  142. Mon Mar 18 21:23:51 2019  random seeds: 421bc431 1f73f8ce
  143. Mon Mar 18 21:23:51 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  144. Mon Mar 18 21:23:56 2019  no P-1/P+1/ECM available, skipping
  145. Mon Mar 18 21:23:56 2019  commencing number field sieve (231-digit input)
  146. Mon Mar 18 21:23:56 2019  R0: 429779677118633509951347654162867327929881501
  147. Mon Mar 18 21:23:56 2019  R1: -1515355089578305698312110328171790336
  148. Mon Mar 18 21:23:56 2019  A0: 5094049
  149. Mon Mar 18 21:23:56 2019  A1: 0
  150. Mon Mar 18 21:23:56 2019  A2: 0
  151. Mon Mar 18 21:23:56 2019  A3: 0
  152. Mon Mar 18 21:23:56 2019  A4: 0
  153. Mon Mar 18 21:23:56 2019  A5: 0
  154. Mon Mar 18 21:23:56 2019  A6: 1
  155. Mon Mar 18 21:23:56 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  156. Mon Mar 18 21:23:56 2019  
  157. Mon Mar 18 21:23:56 2019  commencing relation filtering
  158. Mon Mar 18 21:23:56 2019  setting target matrix density to 134.0
  159. Mon Mar 18 21:23:56 2019  estimated available RAM is 95375.2 MB
  160. Mon Mar 18 21:23:56 2019  commencing duplicate removal, pass 1
  161.   33 errors
  162. Tue Mar 19 00:05:55 2019  skipped 17 relations with composite factors
  163. Tue Mar 19 00:05:55 2019  found 23841287 hash collisions in 336700251 relations
  164. Tue Mar 19 00:06:38 2019  commencing duplicate removal, pass 2
  165. Tue Mar 19 00:12:34 2019  found 0 duplicates and 336700251 unique relations
  166. Tue Mar 19 00:12:34 2019  memory use: 1257.5 MB
  167. Tue Mar 19 00:12:34 2019  reading ideals above 720000
  168. Tue Mar 19 00:12:35 2019  commencing singleton removal, initial pass
  169. Tue Mar 19 03:15:38 2019  memory use: 11024.0 MB
  170. Tue Mar 19 03:15:40 2019  reading all ideals from disk
  171. Tue Mar 19 03:16:05 2019  memory use: 14371.9 MB
  172. Tue Mar 19 03:18:46 2019  keeping 330735636 ideals with weight <= 200, target excess is 1787914
  173. Tue Mar 19 03:23:04 2019  commencing in-memory singleton removal
  174. Tue Mar 19 03:25:34 2019  begin with 336700251 relations and 330735636 unique ideals
  175. Tue Mar 19 03:59:22 2019  reduce to 192708245 relations and 169587386 ideals in 17 passes
  176. Tue Mar 19 03:59:22 2019  max relations containing the same ideal: 149
  177. Tue Mar 19 04:05:59 2019  removing 15022317 relations and 13022317 ideals in 2000000 cliques
  178. Tue Mar 19 04:06:16 2019  commencing in-memory singleton removal
  179. Tue Mar 19 04:07:14 2019  begin with 177685928 relations and 169587386 unique ideals
  180. Tue Mar 19 04:20:42 2019  reduce to 176839986 relations and 155707641 ideals in 10 passes
  181. Tue Mar 19 04:20:42 2019  max relations containing the same ideal: 143
  182. Tue Mar 19 04:26:44 2019  removing 11204453 relations and 9204453 ideals in 2000000 cliques
  183. Tue Mar 19 04:26:59 2019  commencing in-memory singleton removal
  184. Tue Mar 19 04:27:51 2019  begin with 165635533 relations and 155707641 unique ideals
  185. Tue Mar 19 04:37:58 2019  reduce to 165103515 relations and 145964962 ideals in 8 passes
  186. Tue Mar 19 04:37:58 2019  max relations containing the same ideal: 133
  187. Tue Mar 19 04:44:13 2019  removing 9996832 relations and 7996832 ideals in 2000000 cliques
  188. Tue Mar 19 04:44:32 2019  commencing in-memory singleton removal
  189. Tue Mar 19 04:45:22 2019  begin with 155106683 relations and 145964962 unique ideals
  190. Tue Mar 19 04:54:40 2019  reduce to 154653200 relations and 137509375 ideals in 8 passes
  191. Tue Mar 19 04:54:40 2019  max relations containing the same ideal: 128
  192. Tue Mar 19 05:00:28 2019  removing 9347015 relations and 7347015 ideals in 2000000 cliques
  193. Tue Mar 19 05:00:44 2019  commencing in-memory singleton removal
  194. Tue Mar 19 05:01:29 2019  begin with 145306185 relations and 137509375 unique ideals
  195. Tue Mar 19 05:08:47 2019  reduce to 144884561 relations and 129735822 ideals in 7 passes
  196. Tue Mar 19 05:08:47 2019  max relations containing the same ideal: 127
  197. Tue Mar 19 05:14:18 2019  removing 8920661 relations and 6920661 ideals in 2000000 cliques
  198. Tue Mar 19 05:14:32 2019  commencing in-memory singleton removal
  199. Tue Mar 19 05:15:15 2019  begin with 135963900 relations and 129735822 unique ideals
  200. Tue Mar 19 05:23:10 2019  reduce to 135559863 relations and 122406104 ideals in 8 passes
  201. Tue Mar 19 05:23:10 2019  max relations containing the same ideal: 122
  202. Tue Mar 19 05:27:50 2019  removing 8611566 relations and 6611566 ideals in 2000000 cliques
  203. Tue Mar 19 05:28:01 2019  commencing in-memory singleton removal
  204. Tue Mar 19 05:28:40 2019  begin with 126948297 relations and 122406104 unique ideals
  205. Tue Mar 19 05:35:46 2019  reduce to 126548213 relations and 115389406 ideals in 8 passes
  206. Tue Mar 19 05:35:46 2019  max relations containing the same ideal: 116
  207. Tue Mar 19 05:40:06 2019  removing 8392664 relations and 6392664 ideals in 2000000 cliques
  208. Tue Mar 19 05:40:17 2019  commencing in-memory singleton removal
  209. Tue Mar 19 05:40:52 2019  begin with 118155549 relations and 115389406 unique ideals
  210. Tue Mar 19 05:46:32 2019  reduce to 117753564 relations and 108589351 ideals in 7 passes
  211. Tue Mar 19 05:46:32 2019  max relations containing the same ideal: 110
  212. Tue Mar 19 05:50:33 2019  removing 8220996 relations and 6220996 ideals in 2000000 cliques
  213. Tue Mar 19 05:50:43 2019  commencing in-memory singleton removal
  214. Tue Mar 19 05:51:15 2019  begin with 109532568 relations and 108589351 unique ideals
  215. Tue Mar 19 05:56:23 2019  reduce to 109121797 relations and 101951697 ideals in 7 passes
  216. Tue Mar 19 05:56:23 2019  max relations containing the same ideal: 107
  217. Tue Mar 19 06:00:06 2019  removing 8097263 relations and 6097263 ideals in 2000000 cliques
  218. Tue Mar 19 06:00:16 2019  commencing in-memory singleton removal
  219. Tue Mar 19 06:00:45 2019  begin with 101024534 relations and 101951697 unique ideals
  220. Tue Mar 19 06:06:47 2019  reduce to 100597721 relations and 95421057 ideals in 9 passes
  221. Tue Mar 19 06:06:47 2019  max relations containing the same ideal: 102
  222. Tue Mar 19 06:10:11 2019  removing 8007246 relations and 6007246 ideals in 2000000 cliques
  223. Tue Mar 19 06:10:21 2019  commencing in-memory singleton removal
  224. Tue Mar 19 06:10:47 2019  begin with 92590475 relations and 95421057 unique ideals
  225. Tue Mar 19 06:14:58 2019  reduce to 92136774 relations and 88952617 ideals in 7 passes
  226. Tue Mar 19 06:14:58 2019  max relations containing the same ideal: 100
  227. Tue Mar 19 06:18:03 2019  removing 4922460 relations and 3812284 ideals in 1110176 cliques
  228. Tue Mar 19 06:18:11 2019  commencing in-memory singleton removal
  229. Tue Mar 19 06:18:35 2019  begin with 87214314 relations and 88952617 unique ideals
  230. Tue Mar 19 06:22:29 2019  reduce to 87034297 relations and 84958421 ideals in 7 passes
  231. Tue Mar 19 06:22:29 2019  max relations containing the same ideal: 97
  232. Tue Mar 19 06:26:06 2019  relations with 0 large ideals: 67827
  233. Tue Mar 19 06:26:06 2019  relations with 1 large ideals: 34574
  234. Tue Mar 19 06:26:06 2019  relations with 2 large ideals: 428084
  235. Tue Mar 19 06:26:06 2019  relations with 3 large ideals: 2609316
  236. Tue Mar 19 06:26:06 2019  relations with 4 large ideals: 8765723
  237. Tue Mar 19 06:26:06 2019  relations with 5 large ideals: 17811851
  238. Tue Mar 19 06:26:06 2019  relations with 6 large ideals: 22923715
  239. Tue Mar 19 06:26:06 2019  relations with 7+ large ideals: 34393207
  240. Tue Mar 19 06:26:06 2019  commencing 2-way merge
  241. Tue Mar 19 06:29:57 2019  reduce to 56769992 relation sets and 54694116 unique ideals
  242. Tue Mar 19 06:29:57 2019  commencing full merge
  243. Tue Mar 19 08:31:26 2019  memory use: 7180.4 MB
  244. Tue Mar 19 08:31:47 2019  found 24919556 cycles, need 24906316
  245. Tue Mar 19 08:32:19 2019  weight of 24906316 cycles is about 3338037368 (134.02/cycle)
  246. Tue Mar 19 08:32:19 2019  distribution of cycle lengths:
  247. Tue Mar 19 08:32:19 2019  1 relations: 1057221
  248. Tue Mar 19 08:32:19 2019  2 relations: 1442600
  249. Tue Mar 19 08:32:19 2019  3 relations: 1667625
  250. Tue Mar 19 08:32:19 2019  4 relations: 1722520
  251. Tue Mar 19 08:32:19 2019  5 relations: 1739668
  252. Tue Mar 19 08:32:19 2019  6 relations: 1710931
  253. Tue Mar 19 08:32:19 2019  7 relations: 1667206
  254. Tue Mar 19 08:32:19 2019  8 relations: 1593915
  255. Tue Mar 19 08:32:19 2019  9 relations: 1504492
  256. Tue Mar 19 08:32:19 2019  10+ relations: 10800138
  257. Tue Mar 19 08:32:19 2019  heaviest cycle: 28 relations
  258. Tue Mar 19 08:32:48 2019  commencing cycle optimization
  259. Tue Mar 19 08:36:47 2019  start with 234207411 relations
  260. Tue Mar 19 09:21:19 2019  pruned 10898275 relations
  261. Tue Mar 19 09:21:20 2019  memory use: 6013.5 MB
  262. Tue Mar 19 09:21:21 2019  distribution of cycle lengths:
  263. Tue Mar 19 09:21:21 2019  1 relations: 1057221
  264. Tue Mar 19 09:21:21 2019  2 relations: 1481216
  265. Tue Mar 19 09:21:21 2019  3 relations: 1743127
  266. Tue Mar 19 09:21:21 2019  4 relations: 1798234
  267. Tue Mar 19 09:21:21 2019  5 relations: 1829116
  268. Tue Mar 19 09:21:21 2019  6 relations: 1793381
  269. Tue Mar 19 09:21:21 2019  7 relations: 1751001
  270. Tue Mar 19 09:21:21 2019  8 relations: 1666758
  271. Tue Mar 19 09:21:21 2019  9 relations: 1572716
  272. Tue Mar 19 09:21:21 2019  10+ relations: 10213546
  273. Tue Mar 19 09:21:21 2019  heaviest cycle: 28 relations
  274. Tue Mar 19 09:24:47 2019  RelProcTime: 43251
  275. Tue Mar 19 09:24:47 2019  elapsed time 12:00:56
  276. Tue Mar 19 09:24:51 2019  
  277. Tue Mar 19 09:24:51 2019  
  278. Tue Mar 19 09:24:51 2019  Msieve v. 1.53 (SVN 993)
  279. Tue Mar 19 09:24:51 2019  random seeds: 35ddac59 300c4e57
  280. Tue Mar 19 09:24:51 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  281. Tue Mar 19 09:24:55 2019  no P-1/P+1/ECM available, skipping
  282. Tue Mar 19 09:24:55 2019  commencing number field sieve (231-digit input)
  283. Tue Mar 19 09:24:55 2019  R0: 429779677118633509951347654162867327929881501
  284. Tue Mar 19 09:24:55 2019  R1: -1515355089578305698312110328171790336
  285. Tue Mar 19 09:24:55 2019  A0: 5094049
  286. Tue Mar 19 09:24:55 2019  A1: 0
  287. Tue Mar 19 09:24:55 2019  A2: 0
  288. Tue Mar 19 09:24:55 2019  A3: 0
  289. Tue Mar 19 09:24:55 2019  A4: 0
  290. Tue Mar 19 09:24:55 2019  A5: 0
  291. Tue Mar 19 09:24:55 2019  A6: 1
  292. Tue Mar 19 09:24:55 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  293. Tue Mar 19 09:24:55 2019  
  294. Tue Mar 19 09:24:55 2019  commencing relation filtering
  295. Tue Mar 19 09:24:55 2019  setting target matrix density to 198.0
  296. Tue Mar 19 09:24:55 2019  estimated available RAM is 95375.2 MB
  297. Tue Mar 19 09:24:55 2019  commencing duplicate removal, pass 1
  298.   33 errors
  299. Tue Mar 19 12:07:34 2019  skipped 17 relations with composite factors
  300. Tue Mar 19 12:07:34 2019  found 23841287 hash collisions in 336700251 relations
  301. Tue Mar 19 12:08:17 2019  commencing duplicate removal, pass 2
  302. Tue Mar 19 12:14:16 2019  found 0 duplicates and 336700251 unique relations
  303. Tue Mar 19 12:14:16 2019  memory use: 1257.5 MB
  304. Tue Mar 19 12:14:17 2019  reading ideals above 720000
  305. Tue Mar 19 12:14:17 2019  commencing singleton removal, initial pass
  306. Tue Mar 19 15:25:35 2019  memory use: 11024.0 MB
  307. Tue Mar 19 15:25:37 2019  reading all ideals from disk
  308. Tue Mar 19 15:26:02 2019  memory use: 14371.9 MB
  309. Tue Mar 19 15:28:43 2019  keeping 330735636 ideals with weight <= 200, target excess is 1787914
  310. Tue Mar 19 15:32:06 2019  commencing in-memory singleton removal
  311. Tue Mar 19 15:34:08 2019  begin with 336700251 relations and 330735636 unique ideals
  312. Tue Mar 19 16:09:14 2019  reduce to 192708245 relations and 169587386 ideals in 17 passes
  313. Tue Mar 19 16:09:14 2019  max relations containing the same ideal: 149
  314. Tue Mar 19 16:16:15 2019  removing 15022317 relations and 13022317 ideals in 2000000 cliques
  315. Tue Mar 19 16:16:32 2019  commencing in-memory singleton removal
  316. Tue Mar 19 16:17:31 2019  begin with 177685928 relations and 169587386 unique ideals
  317. Tue Mar 19 16:33:36 2019  reduce to 176839986 relations and 155707641 ideals in 10 passes
  318. Tue Mar 19 16:33:36 2019  max relations containing the same ideal: 143
  319. Tue Mar 19 16:41:47 2019  removing 11204453 relations and 9204453 ideals in 2000000 cliques
  320. Tue Mar 19 16:42:06 2019  commencing in-memory singleton removal
  321. Tue Mar 19 16:42:59 2019  begin with 165635533 relations and 155707641 unique ideals
  322. Tue Mar 19 16:52:49 2019  reduce to 165103515 relations and 145964962 ideals in 8 passes
  323. Tue Mar 19 16:52:49 2019  max relations containing the same ideal: 133
  324. Tue Mar 19 16:59:31 2019  removing 9996832 relations and 7996832 ideals in 2000000 cliques
  325. Tue Mar 19 16:59:47 2019  commencing in-memory singleton removal
  326. Tue Mar 19 17:00:35 2019  begin with 155106683 relations and 145964962 unique ideals
  327. Tue Mar 19 17:09:35 2019  reduce to 154653200 relations and 137509375 ideals in 8 passes
  328. Tue Mar 19 17:09:35 2019  max relations containing the same ideal: 128
  329. Tue Mar 19 17:14:40 2019  removing 9347015 relations and 7347015 ideals in 2000000 cliques
  330. Tue Mar 19 17:14:53 2019  commencing in-memory singleton removal
  331. Tue Mar 19 17:15:37 2019  begin with 145306185 relations and 137509375 unique ideals
  332. Tue Mar 19 17:25:34 2019  reduce to 144884561 relations and 129735822 ideals in 7 passes
  333. Tue Mar 19 17:25:34 2019  max relations containing the same ideal: 127
  334. Tue Mar 19 17:31:01 2019  removing 8920661 relations and 6920661 ideals in 2000000 cliques
  335. Tue Mar 19 17:31:14 2019  commencing in-memory singleton removal
  336. Tue Mar 19 17:31:55 2019  begin with 135963900 relations and 129735822 unique ideals
  337. Tue Mar 19 17:39:36 2019  reduce to 135559863 relations and 122406104 ideals in 8 passes
  338. Tue Mar 19 17:39:36 2019  max relations containing the same ideal: 122
  339. Tue Mar 19 17:44:13 2019  removing 8611566 relations and 6611566 ideals in 2000000 cliques
  340. Tue Mar 19 17:44:25 2019  commencing in-memory singleton removal
  341. Tue Mar 19 17:45:03 2019  begin with 126948297 relations and 122406104 unique ideals
  342. Tue Mar 19 17:52:12 2019  reduce to 126548213 relations and 115389406 ideals in 8 passes
  343. Tue Mar 19 17:52:12 2019  max relations containing the same ideal: 116
  344. Tue Mar 19 17:56:32 2019  removing 8392664 relations and 6392664 ideals in 2000000 cliques
  345. Tue Mar 19 17:56:43 2019  commencing in-memory singleton removal
  346. Tue Mar 19 17:57:18 2019  begin with 118155549 relations and 115389406 unique ideals
  347. Tue Mar 19 18:02:58 2019  reduce to 117753564 relations and 108589351 ideals in 7 passes
  348. Tue Mar 19 18:02:58 2019  max relations containing the same ideal: 110
  349. Tue Mar 19 18:06:58 2019  removing 8220996 relations and 6220996 ideals in 2000000 cliques
  350. Tue Mar 19 18:07:09 2019  commencing in-memory singleton removal
  351. Tue Mar 19 18:07:41 2019  begin with 109532568 relations and 108589351 unique ideals
  352. Tue Mar 19 18:12:49 2019  reduce to 109121797 relations and 101951697 ideals in 7 passes
  353. Tue Mar 19 18:12:49 2019  max relations containing the same ideal: 107
  354. Tue Mar 19 18:16:32 2019  removing 8097263 relations and 6097263 ideals in 2000000 cliques
  355. Tue Mar 19 18:16:43 2019  commencing in-memory singleton removal
  356. Tue Mar 19 18:17:12 2019  begin with 101024534 relations and 101951697 unique ideals
  357. Tue Mar 19 18:23:17 2019  reduce to 100597721 relations and 95421057 ideals in 9 passes
  358. Tue Mar 19 18:23:17 2019  max relations containing the same ideal: 102
  359. Tue Mar 19 18:26:46 2019  removing 8007246 relations and 6007246 ideals in 2000000 cliques
  360. Tue Mar 19 18:26:55 2019  commencing in-memory singleton removal
  361. Tue Mar 19 18:27:22 2019  begin with 92590475 relations and 95421057 unique ideals
  362. Tue Mar 19 18:31:35 2019  reduce to 92136774 relations and 88952617 ideals in 7 passes
  363. Tue Mar 19 18:31:35 2019  max relations containing the same ideal: 100
  364. Tue Mar 19 18:34:43 2019  removing 4922460 relations and 3812284 ideals in 1110176 cliques
  365. Tue Mar 19 18:34:51 2019  commencing in-memory singleton removal
  366. Tue Mar 19 18:35:15 2019  begin with 87214314 relations and 88952617 unique ideals
  367. Tue Mar 19 18:39:09 2019  reduce to 87034297 relations and 84958421 ideals in 7 passes
  368. Tue Mar 19 18:39:09 2019  max relations containing the same ideal: 97
  369. Tue Mar 19 18:42:47 2019  relations with 0 large ideals: 67827
  370. Tue Mar 19 18:42:47 2019  relations with 1 large ideals: 34574
  371. Tue Mar 19 18:42:47 2019  relations with 2 large ideals: 428084
  372. Tue Mar 19 18:42:47 2019  relations with 3 large ideals: 2609316
  373. Tue Mar 19 18:42:47 2019  relations with 4 large ideals: 8765723
  374. Tue Mar 19 18:42:47 2019  relations with 5 large ideals: 17811851
  375. Tue Mar 19 18:42:47 2019  relations with 6 large ideals: 22923715
  376. Tue Mar 19 18:42:47 2019  relations with 7+ large ideals: 34393207
  377. Tue Mar 19 18:42:47 2019  commencing 2-way merge
  378. Tue Mar 19 18:46:37 2019  reduce to 56769992 relation sets and 54694116 unique ideals
  379. Tue Mar 19 18:46:37 2019  commencing full merge
  380. Tue Mar 19 22:34:55 2019  memory use: 2538.9 MB
  381. Tue Mar 19 22:34:56 2019  found 194743 cycles, need 12293614
  382. Tue Mar 19 22:34:56 2019  too few cycles, matrix probably cannot build
  383. Tue Mar 19 22:35:00 2019  
  384. Tue Mar 19 22:35:00 2019  
  385. Tue Mar 19 22:35:00 2019  Msieve v. 1.53 (SVN 993)
  386. Tue Mar 19 22:35:00 2019  random seeds: a49cb3c5 ec062e7b
  387. Tue Mar 19 22:35:00 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  388. Tue Mar 19 22:35:04 2019  no P-1/P+1/ECM available, skipping
  389. Tue Mar 19 22:35:04 2019  commencing number field sieve (231-digit input)
  390. Tue Mar 19 22:35:04 2019  R0: 429779677118633509951347654162867327929881501
  391. Tue Mar 19 22:35:04 2019  R1: -1515355089578305698312110328171790336
  392. Tue Mar 19 22:35:04 2019  A0: 5094049
  393. Tue Mar 19 22:35:04 2019  A1: 0
  394. Tue Mar 19 22:35:04 2019  A2: 0
  395. Tue Mar 19 22:35:04 2019  A3: 0
  396. Tue Mar 19 22:35:04 2019  A4: 0
  397. Tue Mar 19 22:35:04 2019  A5: 0
  398. Tue Mar 19 22:35:04 2019  A6: 1
  399. Tue Mar 19 22:35:04 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  400. Tue Mar 19 22:35:04 2019  
  401. Tue Mar 19 22:35:04 2019  commencing relation filtering
  402. Tue Mar 19 22:35:04 2019  setting target matrix density to 166.0
  403. Tue Mar 19 22:35:04 2019  estimated available RAM is 95375.2 MB
  404. Tue Mar 19 22:35:04 2019  commencing duplicate removal, pass 1
  405.   33 errors
  406. Wed Mar 20 01:18:13 2019  skipped 17 relations with composite factors
  407. Wed Mar 20 01:18:13 2019  found 23841287 hash collisions in 336700251 relations
  408. Wed Mar 20 01:18:56 2019  commencing duplicate removal, pass 2
  409. Wed Mar 20 01:24:54 2019  found 0 duplicates and 336700251 unique relations
  410. Wed Mar 20 01:24:54 2019  memory use: 1257.5 MB
  411. Wed Mar 20 01:24:54 2019  reading ideals above 720000
  412. Wed Mar 20 01:24:55 2019  commencing singleton removal, initial pass
  413. Wed Mar 20 04:32:33 2019  memory use: 11024.0 MB
  414. Wed Mar 20 04:32:35 2019  reading all ideals from disk
  415. Wed Mar 20 04:33:04 2019  memory use: 14371.9 MB
  416. Wed Mar 20 04:36:19 2019  keeping 330735636 ideals with weight <= 200, target excess is 1787914
  417. Wed Mar 20 04:39:51 2019  commencing in-memory singleton removal
  418. Wed Mar 20 04:41:55 2019  begin with 336700251 relations and 330735636 unique ideals
  419. Wed Mar 20 05:16:46 2019  reduce to 192708245 relations and 169587386 ideals in 17 passes
  420. Wed Mar 20 05:16:46 2019  max relations containing the same ideal: 149
  421. Wed Mar 20 05:26:33 2019  removing 15022317 relations and 13022317 ideals in 2000000 cliques
  422. Wed Mar 20 05:26:51 2019  commencing in-memory singleton removal
  423. Wed Mar 20 05:27:52 2019  begin with 177685928 relations and 169587386 unique ideals
  424. Wed Mar 20 05:41:25 2019  reduce to 176839986 relations and 155707641 ideals in 10 passes
  425. Wed Mar 20 05:41:25 2019  max relations containing the same ideal: 143
  426. Wed Mar 20 05:48:52 2019  removing 11204453 relations and 9204453 ideals in 2000000 cliques
  427. Wed Mar 20 05:49:13 2019  commencing in-memory singleton removal
  428. Wed Mar 20 05:50:12 2019  begin with 165635533 relations and 155707641 unique ideals
  429. Wed Mar 20 06:02:09 2019  reduce to 165103515 relations and 145964962 ideals in 8 passes
  430. Wed Mar 20 06:02:09 2019  max relations containing the same ideal: 133
  431. Wed Mar 20 06:09:44 2019  removing 9996832 relations and 7996832 ideals in 2000000 cliques
  432. Wed Mar 20 06:09:59 2019  commencing in-memory singleton removal
  433. Wed Mar 20 06:10:48 2019  begin with 155106683 relations and 145964962 unique ideals
  434. Wed Mar 20 06:20:47 2019  reduce to 154653200 relations and 137509375 ideals in 8 passes
  435. Wed Mar 20 06:20:47 2019  max relations containing the same ideal: 128
  436. Wed Mar 20 06:28:09 2019  removing 9347015 relations and 7347015 ideals in 2000000 cliques
  437. Wed Mar 20 06:28:28 2019  commencing in-memory singleton removal
  438. Wed Mar 20 06:29:18 2019  begin with 145306185 relations and 137509375 unique ideals
  439. Wed Mar 20 06:37:23 2019  reduce to 144884561 relations and 129735822 ideals in 7 passes
  440. Wed Mar 20 06:37:23 2019  max relations containing the same ideal: 127
  441. Wed Mar 20 06:43:35 2019  removing 8920661 relations and 6920661 ideals in 2000000 cliques
  442. Wed Mar 20 06:43:48 2019  commencing in-memory singleton removal
  443. Wed Mar 20 06:44:41 2019  begin with 135963900 relations and 129735822 unique ideals
  444. Wed Mar 20 06:54:40 2019  reduce to 135559863 relations and 122406104 ideals in 8 passes
  445. Wed Mar 20 06:54:40 2019  max relations containing the same ideal: 122
  446. Wed Mar 20 06:59:49 2019  removing 8611566 relations and 6611566 ideals in 2000000 cliques
  447. Wed Mar 20 07:00:02 2019  commencing in-memory singleton removal
  448. Wed Mar 20 07:00:40 2019  begin with 126948297 relations and 122406104 unique ideals
  449. Wed Mar 20 07:07:48 2019  reduce to 126548213 relations and 115389406 ideals in 8 passes
  450. Wed Mar 20 07:07:48 2019  max relations containing the same ideal: 116
  451. Wed Mar 20 07:12:09 2019  removing 8392664 relations and 6392664 ideals in 2000000 cliques
  452. Wed Mar 20 07:12:20 2019  commencing in-memory singleton removal
  453. Wed Mar 20 07:12:55 2019  begin with 118155549 relations and 115389406 unique ideals
  454. Wed Mar 20 07:18:37 2019  reduce to 117753564 relations and 108589351 ideals in 7 passes
  455. Wed Mar 20 07:18:37 2019  max relations containing the same ideal: 110
  456. Wed Mar 20 07:22:59 2019  removing 8220996 relations and 6220996 ideals in 2000000 cliques
  457. Wed Mar 20 07:23:11 2019  commencing in-memory singleton removal
  458. Wed Mar 20 07:23:44 2019  begin with 109532568 relations and 108589351 unique ideals
  459. Wed Mar 20 07:29:18 2019  reduce to 109121797 relations and 101951697 ideals in 7 passes
  460. Wed Mar 20 07:29:18 2019  max relations containing the same ideal: 107
  461. Wed Mar 20 07:32:59 2019  removing 8097263 relations and 6097263 ideals in 2000000 cliques
  462. Wed Mar 20 07:33:09 2019  commencing in-memory singleton removal
  463. Wed Mar 20 07:33:38 2019  begin with 101024534 relations and 101951697 unique ideals
  464. Wed Mar 20 07:39:57 2019  reduce to 100597721 relations and 95421057 ideals in 9 passes
  465. Wed Mar 20 07:39:57 2019  max relations containing the same ideal: 102
  466. Wed Mar 20 07:43:22 2019  removing 8007246 relations and 6007246 ideals in 2000000 cliques
  467. Wed Mar 20 07:43:32 2019  commencing in-memory singleton removal
  468. Wed Mar 20 07:43:58 2019  begin with 92590475 relations and 95421057 unique ideals
  469. Wed Mar 20 07:48:08 2019  reduce to 92136774 relations and 88952617 ideals in 7 passes
  470. Wed Mar 20 07:48:08 2019  max relations containing the same ideal: 100
  471. Wed Mar 20 07:51:12 2019  removing 4922460 relations and 3812284 ideals in 1110176 cliques
  472. Wed Mar 20 07:51:22 2019  commencing in-memory singleton removal
  473. Wed Mar 20 07:51:45 2019  begin with 87214314 relations and 88952617 unique ideals
  474. Wed Mar 20 07:56:20 2019  reduce to 87034297 relations and 84958421 ideals in 7 passes
  475. Wed Mar 20 07:56:20 2019  max relations containing the same ideal: 97
  476. Wed Mar 20 08:00:28 2019  relations with 0 large ideals: 67827
  477. Wed Mar 20 08:00:28 2019  relations with 1 large ideals: 34574
  478. Wed Mar 20 08:00:28 2019  relations with 2 large ideals: 428084
  479. Wed Mar 20 08:00:28 2019  relations with 3 large ideals: 2609316
  480. Wed Mar 20 08:00:28 2019  relations with 4 large ideals: 8765723
  481. Wed Mar 20 08:00:28 2019  relations with 5 large ideals: 17811851
  482. Wed Mar 20 08:00:28 2019  relations with 6 large ideals: 22923715
  483. Wed Mar 20 08:00:28 2019  relations with 7+ large ideals: 34393207
  484. Wed Mar 20 08:00:28 2019  commencing 2-way merge
  485. Wed Mar 20 08:04:18 2019  reduce to 56769992 relation sets and 54694116 unique ideals
  486. Wed Mar 20 08:04:18 2019  commencing full merge
  487. Wed Mar 20 10:05:50 2019  memory use: 2538.9 MB
  488. Wed Mar 20 10:05:51 2019  found 194743 cycles, need 12293614
  489. Wed Mar 20 10:05:51 2019  too few cycles, matrix probably cannot build
  490. Wed Mar 20 10:05:52 2019  
  491. Wed Mar 20 10:05:52 2019  
  492. Wed Mar 20 10:05:52 2019  Msieve v. 1.53 (SVN 993)
  493. Wed Mar 20 10:05:52 2019  random seeds: 1640ad44 b5bd9bc5
  494. Wed Mar 20 10:05:52 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  495. Wed Mar 20 10:05:54 2019  no P-1/P+1/ECM available, skipping
  496. Wed Mar 20 10:05:54 2019  commencing number field sieve (231-digit input)
  497. Wed Mar 20 10:05:54 2019  R0: 429779677118633509951347654162867327929881501
  498. Wed Mar 20 10:05:54 2019  R1: -1515355089578305698312110328171790336
  499. Wed Mar 20 10:05:54 2019  A0: 5094049
  500. Wed Mar 20 10:05:54 2019  A1: 0
  501. Wed Mar 20 10:05:54 2019  A2: 0
  502. Wed Mar 20 10:05:54 2019  A3: 0
  503. Wed Mar 20 10:05:54 2019  A4: 0
  504. Wed Mar 20 10:05:54 2019  A5: 0
  505. Wed Mar 20 10:05:54 2019  A6: 1
  506. Wed Mar 20 10:05:54 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  507. Wed Mar 20 10:05:54 2019  
  508. Wed Mar 20 10:05:54 2019  commencing relation filtering
  509. Wed Mar 20 10:05:54 2019  setting target matrix density to 150.0
  510. Wed Mar 20 10:05:54 2019  estimated available RAM is 95375.2 MB
  511. Wed Mar 20 10:05:54 2019  commencing duplicate removal, pass 1
  512.   33 errors
  513. Wed Mar 20 11:27:57 2019  skipped 17 relations with composite factors
  514. Wed Mar 20 11:27:57 2019  found 23841287 hash collisions in 336700251 relations
  515. Wed Mar 20 11:28:19 2019  commencing duplicate removal, pass 2
  516. Wed Mar 20 11:31:19 2019  found 0 duplicates and 336700251 unique relations
  517. Wed Mar 20 11:31:19 2019  memory use: 1257.5 MB
  518. Wed Mar 20 11:31:19 2019  reading ideals above 720000
  519. Wed Mar 20 11:31:19 2019  commencing singleton removal, initial pass
  520. Wed Mar 20 13:00:41 2019  memory use: 11024.0 MB
  521. Wed Mar 20 13:00:42 2019  reading all ideals from disk
  522. Wed Mar 20 13:00:53 2019  memory use: 14371.9 MB
  523. Wed Mar 20 13:02:09 2019  keeping 330735636 ideals with weight <= 200, target excess is 1787914
  524. Wed Mar 20 13:03:40 2019  commencing in-memory singleton removal
  525. Wed Mar 20 13:04:37 2019  begin with 336700251 relations and 330735636 unique ideals
  526. Wed Mar 20 13:17:39 2019  reduce to 192708245 relations and 169587386 ideals in 17 passes
  527. Wed Mar 20 13:17:39 2019  max relations containing the same ideal: 149
  528. Wed Mar 20 13:20:42 2019  removing 15022317 relations and 13022317 ideals in 2000000 cliques
  529. Wed Mar 20 13:20:50 2019  commencing in-memory singleton removal
  530. Wed Mar 20 13:21:17 2019  begin with 177685928 relations and 169587386 unique ideals
  531. Wed Mar 20 13:27:19 2019  reduce to 176839986 relations and 155707641 ideals in 10 passes
  532. Wed Mar 20 13:27:19 2019  max relations containing the same ideal: 143
  533. Wed Mar 20 13:30:03 2019  removing 11204453 relations and 9204453 ideals in 2000000 cliques
  534. Wed Mar 20 13:30:10 2019  commencing in-memory singleton removal
  535. Wed Mar 20 13:30:34 2019  begin with 165635533 relations and 155707641 unique ideals
  536. Wed Mar 20 13:34:56 2019  reduce to 165103515 relations and 145964962 ideals in 8 passes
  537. Wed Mar 20 13:34:56 2019  max relations containing the same ideal: 133
  538. Wed Mar 20 13:37:26 2019  removing 9996832 relations and 7996832 ideals in 2000000 cliques
  539. Wed Mar 20 13:37:33 2019  commencing in-memory singleton removal
  540. Wed Mar 20 13:37:55 2019  begin with 155106683 relations and 145964962 unique ideals
  541. Wed Mar 20 13:41:54 2019  reduce to 154653200 relations and 137509375 ideals in 8 passes
  542. Wed Mar 20 13:41:54 2019  max relations containing the same ideal: 128
  543. Wed Mar 20 13:44:14 2019  removing 9347015 relations and 7347015 ideals in 2000000 cliques
  544. Wed Mar 20 13:44:21 2019  commencing in-memory singleton removal
  545. Wed Mar 20 13:44:41 2019  begin with 145306185 relations and 137509375 unique ideals
  546. Wed Mar 20 13:47:57 2019  reduce to 144884561 relations and 129735822 ideals in 7 passes
  547. Wed Mar 20 13:47:57 2019  max relations containing the same ideal: 127
  548. Wed Mar 20 13:50:09 2019  removing 8920661 relations and 6920661 ideals in 2000000 cliques
  549. Wed Mar 20 13:50:15 2019  commencing in-memory singleton removal
  550. Wed Mar 20 13:50:34 2019  begin with 135963900 relations and 129735822 unique ideals
  551. Wed Mar 20 13:53:59 2019  reduce to 135559863 relations and 122406104 ideals in 8 passes
  552. Wed Mar 20 13:53:59 2019  max relations containing the same ideal: 122
  553. Wed Mar 20 13:56:02 2019  removing 8611566 relations and 6611566 ideals in 2000000 cliques
  554. Wed Mar 20 13:56:08 2019  commencing in-memory singleton removal
  555. Wed Mar 20 13:56:25 2019  begin with 126948297 relations and 122406104 unique ideals
  556. Wed Mar 20 13:59:35 2019  reduce to 126548213 relations and 115389406 ideals in 8 passes
  557. Wed Mar 20 13:59:35 2019  max relations containing the same ideal: 116
  558. Wed Mar 20 14:01:31 2019  removing 8392664 relations and 6392664 ideals in 2000000 cliques
  559. Wed Mar 20 14:01:36 2019  commencing in-memory singleton removal
  560. Wed Mar 20 14:01:52 2019  begin with 118155549 relations and 115389406 unique ideals
  561. Wed Mar 20 14:04:23 2019  reduce to 117753564 relations and 108589351 ideals in 7 passes
  562. Wed Mar 20 14:04:23 2019  max relations containing the same ideal: 110
  563. Wed Mar 20 14:06:10 2019  removing 8220996 relations and 6220996 ideals in 2000000 cliques
  564. Wed Mar 20 14:06:15 2019  commencing in-memory singleton removal
  565. Wed Mar 20 14:06:30 2019  begin with 109532568 relations and 108589351 unique ideals
  566. Wed Mar 20 14:08:49 2019  reduce to 109121797 relations and 101951697 ideals in 7 passes
  567. Wed Mar 20 14:08:49 2019  max relations containing the same ideal: 107
  568. Wed Mar 20 14:10:27 2019  removing 8097263 relations and 6097263 ideals in 2000000 cliques
  569. Wed Mar 20 14:10:32 2019  commencing in-memory singleton removal
  570. Wed Mar 20 14:10:46 2019  begin with 101024534 relations and 101951697 unique ideals
  571. Wed Mar 20 14:13:27 2019  reduce to 100597721 relations and 95421057 ideals in 9 passes
  572. Wed Mar 20 14:13:27 2019  max relations containing the same ideal: 102
  573. Wed Mar 20 14:14:59 2019  removing 8007246 relations and 6007246 ideals in 2000000 cliques
  574. Wed Mar 20 14:15:04 2019  commencing in-memory singleton removal
  575. Wed Mar 20 14:15:16 2019  begin with 92590475 relations and 95421057 unique ideals
  576. Wed Mar 20 14:17:10 2019  reduce to 92136774 relations and 88952617 ideals in 7 passes
  577. Wed Mar 20 14:17:10 2019  max relations containing the same ideal: 100
  578. Wed Mar 20 14:18:34 2019  removing 4922460 relations and 3812284 ideals in 1110176 cliques
  579. Wed Mar 20 14:18:38 2019  commencing in-memory singleton removal
  580. Wed Mar 20 14:18:49 2019  begin with 87214314 relations and 88952617 unique ideals
  581. Wed Mar 20 14:20:36 2019  reduce to 87034297 relations and 84958421 ideals in 7 passes
  582. Wed Mar 20 14:20:36 2019  max relations containing the same ideal: 97
  583. Wed Mar 20 14:22:15 2019  relations with 0 large ideals: 67827
  584. Wed Mar 20 14:22:15 2019  relations with 1 large ideals: 34574
  585. Wed Mar 20 14:22:15 2019  relations with 2 large ideals: 428084
  586. Wed Mar 20 14:22:15 2019  relations with 3 large ideals: 2609316
  587. Wed Mar 20 14:22:15 2019  relations with 4 large ideals: 8765723
  588. Wed Mar 20 14:22:15 2019  relations with 5 large ideals: 17811851
  589. Wed Mar 20 14:22:15 2019  relations with 6 large ideals: 22923715
  590. Wed Mar 20 14:22:15 2019  relations with 7+ large ideals: 34393207
  591. Wed Mar 20 14:22:15 2019  commencing 2-way merge
  592. Wed Mar 20 14:23:56 2019  reduce to 56769992 relation sets and 54694116 unique ideals
  593. Wed Mar 20 14:23:56 2019  commencing full merge
  594. Wed Mar 20 15:47:22 2019  memory use: 2538.9 MB
  595. Wed Mar 20 15:47:22 2019  found 194743 cycles, need 12293614
  596. Wed Mar 20 15:47:22 2019  too few cycles, matrix probably cannot build
  597. Wed Mar 20 15:47:23 2019  
  598. Wed Mar 20 15:47:23 2019  
  599. Wed Mar 20 15:47:23 2019  Msieve v. 1.53 (SVN 993)
  600. Wed Mar 20 15:47:23 2019  random seeds: c70c9e35 ca7b37c5
  601. Wed Mar 20 15:47:23 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  602. Wed Mar 20 15:47:25 2019  no P-1/P+1/ECM available, skipping
  603. Wed Mar 20 15:47:25 2019  commencing number field sieve (231-digit input)
  604. Wed Mar 20 15:47:25 2019  R0: 429779677118633509951347654162867327929881501
  605. Wed Mar 20 15:47:25 2019  R1: -1515355089578305698312110328171790336
  606. Wed Mar 20 15:47:25 2019  A0: 5094049
  607. Wed Mar 20 15:47:25 2019  A1: 0
  608. Wed Mar 20 15:47:25 2019  A2: 0
  609. Wed Mar 20 15:47:25 2019  A3: 0
  610. Wed Mar 20 15:47:25 2019  A4: 0
  611. Wed Mar 20 15:47:25 2019  A5: 0
  612. Wed Mar 20 15:47:25 2019  A6: 1
  613. Wed Mar 20 15:47:25 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  614. Wed Mar 20 15:47:25 2019  
  615. Wed Mar 20 15:47:25 2019  commencing relation filtering
  616. Wed Mar 20 15:47:25 2019  setting target matrix density to 142.0
  617. Wed Mar 20 15:47:25 2019  estimated available RAM is 95375.2 MB
  618. Wed Mar 20 15:47:25 2019  commencing duplicate removal, pass 1
  619.   33 errors
  620. Wed Mar 20 17:08:39 2019  skipped 17 relations with composite factors
  621. Wed Mar 20 17:08:39 2019  found 23841287 hash collisions in 336700251 relations
  622. Wed Mar 20 17:09:00 2019  commencing duplicate removal, pass 2
  623. Wed Mar 20 17:11:52 2019  found 0 duplicates and 336700251 unique relations
  624. Wed Mar 20 17:11:52 2019  memory use: 1257.5 MB
  625. Wed Mar 20 17:11:52 2019  reading ideals above 720000
  626. Wed Mar 20 17:11:53 2019  commencing singleton removal, initial pass
  627. Wed Mar 20 18:42:15 2019  memory use: 11024.0 MB
  628. Wed Mar 20 18:42:16 2019  reading all ideals from disk
  629. Wed Mar 20 18:42:26 2019  memory use: 14371.9 MB
  630. Wed Mar 20 18:43:51 2019  keeping 330735636 ideals with weight <= 200, target excess is 1787914
  631. Wed Mar 20 18:45:42 2019  commencing in-memory singleton removal
  632. Wed Mar 20 18:46:38 2019  begin with 336700251 relations and 330735636 unique ideals
  633. Wed Mar 20 18:59:25 2019  reduce to 192708245 relations and 169587386 ideals in 17 passes
  634. Wed Mar 20 18:59:25 2019  max relations containing the same ideal: 149
  635. Wed Mar 20 19:02:27 2019  removing 15022317 relations and 13022317 ideals in 2000000 cliques
  636. Wed Mar 20 19:02:35 2019  commencing in-memory singleton removal
  637. Wed Mar 20 19:03:01 2019  begin with 177685928 relations and 169587386 unique ideals
  638. Wed Mar 20 19:08:53 2019  reduce to 176839986 relations and 155707641 ideals in 10 passes
  639. Wed Mar 20 19:08:53 2019  max relations containing the same ideal: 143
  640. Wed Mar 20 19:11:39 2019  removing 11204453 relations and 9204453 ideals in 2000000 cliques
  641. Wed Mar 20 19:11:46 2019  commencing in-memory singleton removal
  642. Wed Mar 20 19:12:10 2019  begin with 165635533 relations and 155707641 unique ideals
  643. Wed Mar 20 19:16:29 2019  reduce to 165103515 relations and 145964962 ideals in 8 passes
  644. Wed Mar 20 19:16:29 2019  max relations containing the same ideal: 133
  645. Wed Mar 20 19:19:01 2019  removing 9996832 relations and 7996832 ideals in 2000000 cliques
  646. Wed Mar 20 19:19:08 2019  commencing in-memory singleton removal
  647. Wed Mar 20 19:19:30 2019  begin with 155106683 relations and 145964962 unique ideals
  648. Wed Mar 20 19:23:25 2019  reduce to 154653200 relations and 137509375 ideals in 8 passes
  649. Wed Mar 20 19:23:25 2019  max relations containing the same ideal: 128
  650. Wed Mar 20 19:25:48 2019  removing 9347015 relations and 7347015 ideals in 2000000 cliques
  651. Wed Mar 20 19:25:55 2019  commencing in-memory singleton removal
  652. Wed Mar 20 19:26:15 2019  begin with 145306185 relations and 137509375 unique ideals
  653. Wed Mar 20 19:29:27 2019  reduce to 144884561 relations and 129735822 ideals in 7 passes
  654. Wed Mar 20 19:29:27 2019  max relations containing the same ideal: 127
  655. Wed Mar 20 19:31:49 2019  removing 8920661 relations and 6920661 ideals in 2000000 cliques
  656. Wed Mar 20 19:31:54 2019  commencing in-memory singleton removal
  657. Wed Mar 20 19:32:13 2019  begin with 135963900 relations and 129735822 unique ideals
  658. Wed Mar 20 19:35:38 2019  reduce to 135559863 relations and 122406104 ideals in 8 passes
  659. Wed Mar 20 19:35:38 2019  max relations containing the same ideal: 122
  660. Wed Mar 20 19:37:45 2019  removing 8611566 relations and 6611566 ideals in 2000000 cliques
  661. Wed Mar 20 19:37:50 2019  commencing in-memory singleton removal
  662. Wed Mar 20 19:38:08 2019  begin with 126948297 relations and 122406104 unique ideals
  663. Wed Mar 20 19:41:15 2019  reduce to 126548213 relations and 115389406 ideals in 8 passes
  664. Wed Mar 20 19:41:15 2019  max relations containing the same ideal: 116
  665. Wed Mar 20 19:43:13 2019  removing 8392664 relations and 6392664 ideals in 2000000 cliques
  666. Wed Mar 20 19:43:18 2019  commencing in-memory singleton removal
  667. Wed Mar 20 19:43:34 2019  begin with 118155549 relations and 115389406 unique ideals
  668. Wed Mar 20 19:46:04 2019  reduce to 117753564 relations and 108589351 ideals in 7 passes
  669. Wed Mar 20 19:46:04 2019  max relations containing the same ideal: 110
  670. Wed Mar 20 19:47:51 2019  removing 8220996 relations and 6220996 ideals in 2000000 cliques
  671. Wed Mar 20 19:47:57 2019  commencing in-memory singleton removal
  672. Wed Mar 20 19:48:11 2019  begin with 109532568 relations and 108589351 unique ideals
  673. Wed Mar 20 19:49:43 2019  reduce to 109121797 relations and 101951697 ideals in 7 passes
  674. Wed Mar 20 19:49:43 2019  max relations containing the same ideal: 107
  675. Wed Mar 20 19:50:59 2019  removing 8097263 relations and 6097263 ideals in 2000000 cliques
  676. Wed Mar 20 19:51:03 2019  commencing in-memory singleton removal
  677. Wed Mar 20 19:51:13 2019  begin with 101024534 relations and 101951697 unique ideals
  678. Wed Mar 20 19:52:46 2019  reduce to 100597721 relations and 95421057 ideals in 9 passes
  679. Wed Mar 20 19:52:46 2019  max relations containing the same ideal: 102
  680. Wed Mar 20 19:53:56 2019  removing 8007246 relations and 6007246 ideals in 2000000 cliques
  681. Wed Mar 20 19:54:00 2019  commencing in-memory singleton removal
  682. Wed Mar 20 19:54:09 2019  begin with 92590475 relations and 95421057 unique ideals
  683. Wed Mar 20 19:55:14 2019  reduce to 92136774 relations and 88952617 ideals in 7 passes
  684. Wed Mar 20 19:55:14 2019  max relations containing the same ideal: 100
  685. Wed Mar 20 19:56:18 2019  removing 4922460 relations and 3812284 ideals in 1110176 cliques
  686. Wed Mar 20 19:56:22 2019  commencing in-memory singleton removal
  687. Wed Mar 20 19:56:30 2019  begin with 87214314 relations and 88952617 unique ideals
  688. Wed Mar 20 19:57:31 2019  reduce to 87034297 relations and 84958421 ideals in 7 passes
  689. Wed Mar 20 19:57:31 2019  max relations containing the same ideal: 97
  690. Wed Mar 20 19:58:47 2019  relations with 0 large ideals: 67827
  691. Wed Mar 20 19:58:47 2019  relations with 1 large ideals: 34574
  692. Wed Mar 20 19:58:47 2019  relations with 2 large ideals: 428084
  693. Wed Mar 20 19:58:47 2019  relations with 3 large ideals: 2609316
  694. Wed Mar 20 19:58:47 2019  relations with 4 large ideals: 8765723
  695. Wed Mar 20 19:58:47 2019  relations with 5 large ideals: 17811851
  696. Wed Mar 20 19:58:47 2019  relations with 6 large ideals: 22923715
  697. Wed Mar 20 19:58:47 2019  relations with 7+ large ideals: 34393207
  698. Wed Mar 20 19:58:47 2019  commencing 2-way merge
  699. Wed Mar 20 20:00:02 2019  reduce to 56769992 relation sets and 54694116 unique ideals
  700. Wed Mar 20 20:00:02 2019  commencing full merge
  701. Wed Mar 20 21:05:49 2019  memory use: 2538.9 MB
  702. Wed Mar 20 21:05:50 2019  found 194743 cycles, need 12293614
  703. Wed Mar 20 21:05:50 2019  too few cycles, matrix probably cannot build
  704. Wed Mar 20 21:05:50 2019  
  705. Wed Mar 20 21:05:50 2019  
  706. Wed Mar 20 21:05:50 2019  Msieve v. 1.53 (SVN 993)
  707. Wed Mar 20 21:05:50 2019  random seeds: bb2d70c4 a18b3840
  708. Wed Mar 20 21:05:50 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  709. Wed Mar 20 21:05:52 2019  no P-1/P+1/ECM available, skipping
  710. Wed Mar 20 21:05:52 2019  commencing number field sieve (231-digit input)
  711. Wed Mar 20 21:05:52 2019  R0: 429779677118633509951347654162867327929881501
  712. Wed Mar 20 21:05:52 2019  R1: -1515355089578305698312110328171790336
  713. Wed Mar 20 21:05:52 2019  A0: 5094049
  714. Wed Mar 20 21:05:52 2019  A1: 0
  715. Wed Mar 20 21:05:52 2019  A2: 0
  716. Wed Mar 20 21:05:52 2019  A3: 0
  717. Wed Mar 20 21:05:52 2019  A4: 0
  718. Wed Mar 20 21:05:52 2019  A5: 0
  719. Wed Mar 20 21:05:52 2019  A6: 1
  720. Wed Mar 20 21:05:52 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  721. Wed Mar 20 21:05:52 2019  
  722. Wed Mar 20 21:05:52 2019  commencing relation filtering
  723. Wed Mar 20 21:05:52 2019  setting target matrix density to 138.0
  724. Wed Mar 20 21:05:52 2019  estimated available RAM is 95375.2 MB
  725. Wed Mar 20 21:05:52 2019  commencing duplicate removal, pass 1
  726.   33 errors
  727. Wed Mar 20 22:02:31 2019  skipped 17 relations with composite factors
  728. Wed Mar 20 22:02:31 2019  found 23841287 hash collisions in 336700251 relations
  729. Wed Mar 20 22:02:44 2019  commencing duplicate removal, pass 2
  730. Wed Mar 20 22:04:46 2019  found 0 duplicates and 336700251 unique relations
  731. Wed Mar 20 22:04:46 2019  memory use: 1257.5 MB
  732. Wed Mar 20 22:04:46 2019  reading ideals above 720000
  733. Wed Mar 20 22:04:46 2019  commencing singleton removal, initial pass
  734. Wed Mar 20 22:58:41 2019  memory use: 11024.0 MB
  735. Wed Mar 20 22:58:41 2019  reading all ideals from disk
  736. Wed Mar 20 22:58:51 2019  memory use: 14371.9 MB
  737. Wed Mar 20 22:59:44 2019  keeping 330735636 ideals with weight <= 200, target excess is 1787914
  738. Wed Mar 20 23:00:43 2019  commencing in-memory singleton removal
  739. Wed Mar 20 23:01:22 2019  begin with 336700251 relations and 330735636 unique ideals
  740. Wed Mar 20 23:08:26 2019  reduce to 192708245 relations and 169587386 ideals in 17 passes
  741. Wed Mar 20 23:08:26 2019  max relations containing the same ideal: 149
  742. Wed Mar 20 23:10:30 2019  removing 15022317 relations and 13022317 ideals in 2000000 cliques
  743. Wed Mar 20 23:10:37 2019  commencing in-memory singleton removal
  744. Wed Mar 20 23:10:55 2019  begin with 177685928 relations and 169587386 unique ideals
  745. Wed Mar 20 23:14:01 2019  reduce to 176839986 relations and 155707641 ideals in 10 passes
  746. Wed Mar 20 23:14:01 2019  max relations containing the same ideal: 143
  747. Wed Mar 20 23:16:11 2019  removing 11204453 relations and 9204453 ideals in 2000000 cliques
  748. Wed Mar 20 23:16:16 2019  commencing in-memory singleton removal
  749. Wed Mar 20 23:16:33 2019  begin with 165635533 relations and 155707641 unique ideals
  750. Wed Mar 20 23:18:54 2019  reduce to 165103515 relations and 145964962 ideals in 8 passes
  751. Wed Mar 20 23:18:54 2019  max relations containing the same ideal: 133
  752. Wed Mar 20 23:20:46 2019  removing 9996832 relations and 7996832 ideals in 2000000 cliques
  753. Wed Mar 20 23:20:51 2019  commencing in-memory singleton removal
  754. Wed Mar 20 23:21:07 2019  begin with 155106683 relations and 145964962 unique ideals
  755. Wed Mar 20 23:23:17 2019  reduce to 154653200 relations and 137509375 ideals in 8 passes
  756. Wed Mar 20 23:23:17 2019  max relations containing the same ideal: 128
  757. Wed Mar 20 23:25:02 2019  removing 9347015 relations and 7347015 ideals in 2000000 cliques
  758. Wed Mar 20 23:25:07 2019  commencing in-memory singleton removal
  759. Wed Mar 20 23:25:22 2019  begin with 145306185 relations and 137509375 unique ideals
  760. Wed Mar 20 23:27:07 2019  reduce to 144884561 relations and 129735822 ideals in 7 passes
  761. Wed Mar 20 23:27:07 2019  max relations containing the same ideal: 127
  762. Wed Mar 20 23:28:46 2019  removing 8920661 relations and 6920661 ideals in 2000000 cliques
  763. Wed Mar 20 23:28:51 2019  commencing in-memory singleton removal
  764. Wed Mar 20 23:29:05 2019  begin with 135963900 relations and 129735822 unique ideals
  765. Wed Mar 20 23:30:57 2019  reduce to 135559863 relations and 122406104 ideals in 8 passes
  766. Wed Mar 20 23:30:57 2019  max relations containing the same ideal: 122
  767. Wed Mar 20 23:32:29 2019  removing 8611566 relations and 6611566 ideals in 2000000 cliques
  768. Wed Mar 20 23:32:34 2019  commencing in-memory singleton removal
  769. Wed Mar 20 23:32:46 2019  begin with 126948297 relations and 122406104 unique ideals
  770. Wed Mar 20 23:34:30 2019  reduce to 126548213 relations and 115389406 ideals in 8 passes
  771. Wed Mar 20 23:34:30 2019  max relations containing the same ideal: 116
  772. Wed Mar 20 23:35:57 2019  removing 8392664 relations and 6392664 ideals in 2000000 cliques
  773. Wed Mar 20 23:36:01 2019  commencing in-memory singleton removal
  774. Wed Mar 20 23:36:13 2019  begin with 118155549 relations and 115389406 unique ideals
  775. Wed Mar 20 23:37:36 2019  reduce to 117753564 relations and 108589351 ideals in 7 passes
  776. Wed Mar 20 23:37:36 2019  max relations containing the same ideal: 110
  777. Wed Mar 20 23:38:57 2019  removing 8220996 relations and 6220996 ideals in 2000000 cliques
  778. Wed Mar 20 23:39:02 2019  commencing in-memory singleton removal
  779. Wed Mar 20 23:39:13 2019  begin with 109532568 relations and 108589351 unique ideals
  780. Wed Mar 20 23:40:32 2019  reduce to 109121797 relations and 101951697 ideals in 7 passes
  781. Wed Mar 20 23:40:32 2019  max relations containing the same ideal: 107
  782. Wed Mar 20 23:41:45 2019  removing 8097263 relations and 6097263 ideals in 2000000 cliques
  783. Wed Mar 20 23:41:49 2019  commencing in-memory singleton removal
  784. Wed Mar 20 23:41:59 2019  begin with 101024534 relations and 101951697 unique ideals
  785. Wed Mar 20 23:43:26 2019  reduce to 100597721 relations and 95421057 ideals in 9 passes
  786. Wed Mar 20 23:43:26 2019  max relations containing the same ideal: 102
  787. Wed Mar 20 23:44:29 2019  removing 8007246 relations and 6007246 ideals in 2000000 cliques
  788. Wed Mar 20 23:44:33 2019  commencing in-memory singleton removal
  789. Wed Mar 20 23:44:42 2019  begin with 92590475 relations and 95421057 unique ideals
  790. Wed Mar 20 23:45:43 2019  reduce to 92136774 relations and 88952617 ideals in 7 passes
  791. Wed Mar 20 23:45:43 2019  max relations containing the same ideal: 100
  792. Wed Mar 20 23:46:41 2019  removing 4922460 relations and 3812284 ideals in 1110176 cliques
  793. Wed Mar 20 23:46:44 2019  commencing in-memory singleton removal
  794. Wed Mar 20 23:46:52 2019  begin with 87214314 relations and 88952617 unique ideals
  795. Wed Mar 20 23:47:49 2019  reduce to 87034297 relations and 84958421 ideals in 7 passes
  796. Wed Mar 20 23:47:49 2019  max relations containing the same ideal: 97
  797. Wed Mar 20 23:48:57 2019  relations with 0 large ideals: 67827
  798. Wed Mar 20 23:48:57 2019  relations with 1 large ideals: 34574
  799. Wed Mar 20 23:48:57 2019  relations with 2 large ideals: 428084
  800. Wed Mar 20 23:48:57 2019  relations with 3 large ideals: 2609316
  801. Wed Mar 20 23:48:57 2019  relations with 4 large ideals: 8765723
  802. Wed Mar 20 23:48:57 2019  relations with 5 large ideals: 17811851
  803. Wed Mar 20 23:48:57 2019  relations with 6 large ideals: 22923715
  804. Wed Mar 20 23:48:57 2019  relations with 7+ large ideals: 34393207
  805. Wed Mar 20 23:48:57 2019  commencing 2-way merge
  806. Wed Mar 20 23:50:06 2019  reduce to 56769992 relation sets and 54694116 unique ideals
  807. Wed Mar 20 23:50:06 2019  commencing full merge
  808. Thu Mar 21 00:47:38 2019  memory use: 2538.9 MB
  809. Thu Mar 21 00:47:38 2019  found 194743 cycles, need 12293614
  810. Thu Mar 21 00:47:38 2019  too few cycles, matrix probably cannot build
  811. Thu Mar 21 00:47:39 2019  
  812. Thu Mar 21 00:47:39 2019  
  813. Thu Mar 21 00:47:39 2019  Msieve v. 1.53 (SVN 993)
  814. Thu Mar 21 00:47:39 2019  random seeds: b8cf6b8e 1e919cc4
  815. Thu Mar 21 00:47:39 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  816. Thu Mar 21 00:47:40 2019  no P-1/P+1/ECM available, skipping
  817. Thu Mar 21 00:47:40 2019  commencing number field sieve (231-digit input)
  818. Thu Mar 21 00:47:40 2019  R0: 429779677118633509951347654162867327929881501
  819. Thu Mar 21 00:47:40 2019  R1: -1515355089578305698312110328171790336
  820. Thu Mar 21 00:47:40 2019  A0: 5094049
  821. Thu Mar 21 00:47:40 2019  A1: 0
  822. Thu Mar 21 00:47:40 2019  A2: 0
  823. Thu Mar 21 00:47:40 2019  A3: 0
  824. Thu Mar 21 00:47:40 2019  A4: 0
  825. Thu Mar 21 00:47:40 2019  A5: 0
  826. Thu Mar 21 00:47:40 2019  A6: 1
  827. Thu Mar 21 00:47:40 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  828. Thu Mar 21 00:47:40 2019  
  829. Thu Mar 21 00:47:40 2019  commencing relation filtering
  830. Thu Mar 21 00:47:40 2019  setting target matrix density to 136.0
  831. Thu Mar 21 00:47:40 2019  estimated available RAM is 95375.2 MB
  832. Thu Mar 21 00:47:40 2019  commencing duplicate removal, pass 1
  833.   33 errors
  834. Thu Mar 21 01:39:59 2019  skipped 17 relations with composite factors
  835. Thu Mar 21 01:39:59 2019  found 23841287 hash collisions in 336700251 relations
  836. Thu Mar 21 01:40:11 2019  commencing duplicate removal, pass 2
  837. Thu Mar 21 01:42:09 2019  found 0 duplicates and 336700251 unique relations
  838. Thu Mar 21 01:42:09 2019  memory use: 1257.5 MB
  839. Thu Mar 21 01:42:09 2019  reading ideals above 720000
  840. Thu Mar 21 01:42:10 2019  commencing singleton removal, initial pass
  841. Thu Mar 21 02:33:21 2019  memory use: 11024.0 MB
  842. Thu Mar 21 02:33:21 2019  reading all ideals from disk
  843. Thu Mar 21 02:33:30 2019  memory use: 14371.9 MB
  844. Thu Mar 21 02:34:18 2019  keeping 330735636 ideals with weight <= 200, target excess is 1787914
  845. Thu Mar 21 02:35:09 2019  commencing in-memory singleton removal
  846. Thu Mar 21 02:35:43 2019  begin with 336700251 relations and 330735636 unique ideals
  847. Thu Mar 21 02:41:47 2019  reduce to 192708245 relations and 169587386 ideals in 17 passes
  848. Thu Mar 21 02:41:47 2019  max relations containing the same ideal: 149
  849. Thu Mar 21 02:43:40 2019  removing 15022317 relations and 13022317 ideals in 2000000 cliques
  850. Thu Mar 21 02:43:47 2019  commencing in-memory singleton removal
  851. Thu Mar 21 02:44:05 2019  begin with 177685928 relations and 169587386 unique ideals
  852. Thu Mar 21 02:47:00 2019  reduce to 176839986 relations and 155707641 ideals in 10 passes
  853. Thu Mar 21 02:47:00 2019  max relations containing the same ideal: 143
  854. Thu Mar 21 02:48:44 2019  removing 11204453 relations and 9204453 ideals in 2000000 cliques
  855. Thu Mar 21 02:48:49 2019  commencing in-memory singleton removal
  856. Thu Mar 21 02:49:05 2019  begin with 165635533 relations and 155707641 unique ideals
  857. Thu Mar 21 02:51:15 2019  reduce to 165103515 relations and 145964962 ideals in 8 passes
  858. Thu Mar 21 02:51:15 2019  max relations containing the same ideal: 133
  859. Thu Mar 21 02:52:50 2019  removing 9996832 relations and 7996832 ideals in 2000000 cliques
  860. Thu Mar 21 02:52:55 2019  commencing in-memory singleton removal
  861. Thu Mar 21 02:53:10 2019  begin with 155106683 relations and 145964962 unique ideals
  862. Thu Mar 21 02:55:09 2019  reduce to 154653200 relations and 137509375 ideals in 8 passes
  863. Thu Mar 21 02:55:09 2019  max relations containing the same ideal: 128
  864. Thu Mar 21 02:56:36 2019  removing 9347015 relations and 7347015 ideals in 2000000 cliques
  865. Thu Mar 21 02:56:41 2019  commencing in-memory singleton removal
  866. Thu Mar 21 02:56:59 2019  begin with 145306185 relations and 137509375 unique ideals
  867. Thu Mar 21 02:58:38 2019  reduce to 144884561 relations and 129735822 ideals in 7 passes
  868. Thu Mar 21 02:58:38 2019  max relations containing the same ideal: 127
  869. Thu Mar 21 03:00:08 2019  removing 8920661 relations and 6920661 ideals in 2000000 cliques
  870. Thu Mar 21 03:00:12 2019  commencing in-memory singleton removal
  871. Thu Mar 21 03:00:25 2019  begin with 135963900 relations and 129735822 unique ideals
  872. Thu Mar 21 03:02:10 2019  reduce to 135559863 relations and 122406104 ideals in 8 passes
  873. Thu Mar 21 03:02:10 2019  max relations containing the same ideal: 122
  874. Thu Mar 21 03:03:34 2019  removing 8611566 relations and 6611566 ideals in 2000000 cliques
  875. Thu Mar 21 03:03:38 2019  commencing in-memory singleton removal
  876. Thu Mar 21 03:03:50 2019  begin with 126948297 relations and 122406104 unique ideals
  877. Thu Mar 21 03:05:27 2019  reduce to 126548213 relations and 115389406 ideals in 8 passes
  878. Thu Mar 21 03:05:27 2019  max relations containing the same ideal: 116
  879. Thu Mar 21 03:06:46 2019  removing 8392664 relations and 6392664 ideals in 2000000 cliques
  880. Thu Mar 21 03:06:50 2019  commencing in-memory singleton removal
  881. Thu Mar 21 03:07:02 2019  begin with 118155549 relations and 115389406 unique ideals
  882. Thu Mar 21 03:08:20 2019  reduce to 117753564 relations and 108589351 ideals in 7 passes
  883. Thu Mar 21 03:08:20 2019  max relations containing the same ideal: 110
  884. Thu Mar 21 03:09:30 2019  removing 8220996 relations and 6220996 ideals in 2000000 cliques
  885. Thu Mar 21 03:09:34 2019  commencing in-memory singleton removal
  886. Thu Mar 21 03:09:44 2019  begin with 109532568 relations and 108589351 unique ideals
  887. Thu Mar 21 03:10:55 2019  reduce to 109121797 relations and 101951697 ideals in 7 passes
  888. Thu Mar 21 03:10:55 2019  max relations containing the same ideal: 107
  889. Thu Mar 21 03:12:00 2019  removing 8097263 relations and 6097263 ideals in 2000000 cliques
  890. Thu Mar 21 03:12:04 2019  commencing in-memory singleton removal
  891. Thu Mar 21 03:12:13 2019  begin with 101024534 relations and 101951697 unique ideals
  892. Thu Mar 21 03:13:37 2019  reduce to 100597721 relations and 95421057 ideals in 9 passes
  893. Thu Mar 21 03:13:37 2019  max relations containing the same ideal: 102
  894. Thu Mar 21 03:14:37 2019  removing 8007246 relations and 6007246 ideals in 2000000 cliques
  895. Thu Mar 21 03:14:40 2019  commencing in-memory singleton removal
  896. Thu Mar 21 03:14:48 2019  begin with 92590475 relations and 95421057 unique ideals
  897. Thu Mar 21 03:15:47 2019  reduce to 92136774 relations and 88952617 ideals in 7 passes
  898. Thu Mar 21 03:15:47 2019  max relations containing the same ideal: 100
  899. Thu Mar 21 03:16:42 2019  removing 4922460 relations and 3812284 ideals in 1110176 cliques
  900. Thu Mar 21 03:16:45 2019  commencing in-memory singleton removal
  901. Thu Mar 21 03:16:53 2019  begin with 87214314 relations and 88952617 unique ideals
  902. Thu Mar 21 03:17:48 2019  reduce to 87034297 relations and 84958421 ideals in 7 passes
  903. Thu Mar 21 03:17:48 2019  max relations containing the same ideal: 97
  904. Thu Mar 21 03:18:53 2019  relations with 0 large ideals: 67827
  905. Thu Mar 21 03:18:53 2019  relations with 1 large ideals: 34574
  906. Thu Mar 21 03:18:53 2019  relations with 2 large ideals: 428084
  907. Thu Mar 21 03:18:53 2019  relations with 3 large ideals: 2609316
  908. Thu Mar 21 03:18:53 2019  relations with 4 large ideals: 8765723
  909. Thu Mar 21 03:18:53 2019  relations with 5 large ideals: 17811851
  910. Thu Mar 21 03:18:53 2019  relations with 6 large ideals: 22923715
  911. Thu Mar 21 03:18:53 2019  relations with 7+ large ideals: 34393207
  912. Thu Mar 21 03:18:53 2019  commencing 2-way merge
  913. Thu Mar 21 03:19:59 2019  reduce to 56769992 relation sets and 54694116 unique ideals
  914. Thu Mar 21 03:19:59 2019  commencing full merge
  915. Thu Mar 21 04:12:55 2019  memory use: 2538.9 MB
  916. Thu Mar 21 04:12:55 2019  found 194743 cycles, need 12293614
  917. Thu Mar 21 04:12:55 2019  too few cycles, matrix probably cannot build
  918. Thu Mar 21 14:27:08 2019  
  919. Thu Mar 21 14:27:08 2019  
  920. Thu Mar 21 14:27:08 2019  Msieve v. 1.54 (SVN 1022M)
  921. Thu Mar 21 14:27:08 2019  random seeds: d7aa7a73 2b4f2132
  922. Thu Mar 21 14:27:08 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  923. Thu Mar 21 14:27:09 2019  no P-1/P+1/ECM available, skipping
  924. Thu Mar 21 14:27:09 2019  commencing number field sieve (231-digit input)
  925. Thu Mar 21 14:27:09 2019  R0: 429779677118633509951347654162867327929881501
  926. Thu Mar 21 14:27:09 2019  R1: -1515355089578305698312110328171790336
  927. Thu Mar 21 14:27:09 2019  A0: 5094049
  928. Thu Mar 21 14:27:09 2019  A1: 0
  929. Thu Mar 21 14:27:09 2019  A2: 0
  930. Thu Mar 21 14:27:09 2019  A3: 0
  931. Thu Mar 21 14:27:09 2019  A4: 0
  932. Thu Mar 21 14:27:09 2019  A5: 0
  933. Thu Mar 21 14:27:09 2019  A6: 1
  934. Thu Mar 21 14:27:09 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  935. Thu Mar 21 14:27:09 2019  
  936. Thu Mar 21 14:27:09 2019  commencing linear algebra
  937. Thu Mar 21 14:27:12 2019  read 24906316 cycles
  938. Thu Mar 21 14:28:17 2019  cycles contain 85882765 unique relations
  939. Thu Mar 21 14:35:27 2019  read 85882765 relations
  940. Thu Mar 21 14:38:54 2019  using 20 quadratic characters above 4294917295
  941. Thu Mar 21 14:46:29 2019  building initial matrix
  942. Thu Mar 21 15:07:39 2019  memory use: 11291.2 MB
  943. Thu Mar 21 15:07:53 2019  read 24906316 cycles
  944. Thu Mar 21 15:07:57 2019  matrix is 24906139 x 24906316 (12882.0 MB) with weight 3680406049 (147.77/col)
  945. Thu Mar 21 15:07:57 2019  sparse part has weight 3102962170 (124.59/col)
  946. Thu Mar 21 15:16:31 2019  filtering completed in 2 passes
  947. Thu Mar 21 15:16:37 2019  matrix is 24905973 x 24906142 (12882.0 MB) with weight 3680400499 (147.77/col)
  948. Thu Mar 21 15:16:37 2019  sparse part has weight 3102960774 (124.59/col)
  949. Thu Mar 21 15:18:10 2019  matrix starts at (0, 0)
  950. Thu Mar 21 15:18:13 2019  matrix is 24905973 x 24906142 (12882.0 MB) with weight 3680400499 (147.77/col)
  951. Thu Mar 21 15:18:13 2019  sparse part has weight 3102960774 (124.59/col)
  952. Thu Mar 21 15:18:13 2019  saving the first 240 matrix rows for later
  953. Thu Mar 21 15:18:19 2019  matrix includes 256 packed rows
  954. Thu Mar 21 15:18:28 2019  matrix is 24905733 x 24906142 (11793.0 MB) with weight 2835744673 (113.86/col)
  955. Thu Mar 21 15:18:28 2019  sparse part has weight 2692968710 (108.12/col)
  956. Thu Mar 21 15:18:28 2019  using block size 8192 and superblock size 337920 for processor cache size 14080 kB
  957. Thu Mar 21 15:19:57 2019  commencing Lanczos iteration (10 threads)
  958. Thu Mar 21 15:19:57 2019  memory use: 15858.9 MB
  959. Thu Mar 21 15:20:50 2019  linear algebra at 0.0%, ETA 189h54m
  960. Thu Mar 21 15:21:04 2019  checkpointing every 140000 dimensions
  961. Thu Mar 28 02:38:26 2019  lanczos halted after 97580 iterations (dim = 24905729)
  962. Thu Mar 28 02:40:27 2019  recovered 36 nontrivial dependencies
  963. Thu Mar 28 02:40:30 2019  BLanczosTime: 562401
  964. Thu Mar 28 02:40:30 2019  elapsed time 156:13:22
  965. Thu Mar 28 02:40:31 2019  
  966. Thu Mar 28 02:40:31 2019  
  967. Thu Mar 28 02:40:31 2019  Msieve v. 1.54 (SVN 1022M)
  968. Thu Mar 28 02:40:31 2019  random seeds: 9b452fe4 e6a74eff
  969. Thu Mar 28 02:40:31 2019  factoring 754824757773283793075812996429614995263462642900882931256458759450760021318468677524398982690687118820717762879549918955737671561359848198454820059192014395338655224703229912945244922339040986518914895786716887731958216931238403969 (231 digits)
  970. Thu Mar 28 02:40:32 2019  no P-1/P+1/ECM available, skipping
  971. Thu Mar 28 02:40:32 2019  commencing number field sieve (231-digit input)
  972. Thu Mar 28 02:40:32 2019  R0: 429779677118633509951347654162867327929881501
  973. Thu Mar 28 02:40:32 2019  R1: -1515355089578305698312110328171790336
  974. Thu Mar 28 02:40:32 2019  A0: 5094049
  975. Thu Mar 28 02:40:32 2019  A1: 0
  976. Thu Mar 28 02:40:32 2019  A2: 0
  977. Thu Mar 28 02:40:32 2019  A3: 0
  978. Thu Mar 28 02:40:32 2019  A4: 0
  979. Thu Mar 28 02:40:32 2019  A5: 0
  980. Thu Mar 28 02:40:32 2019  A6: 1
  981. Thu Mar 28 02:40:32 2019  skew 13.12, size 1.005e-13, alpha 0.370, combined = 2.222e-14 rroots = 0
  982. Thu Mar 28 02:40:32 2019  
  983. Thu Mar 28 02:40:32 2019  commencing square root phase
  984. Thu Mar 28 02:40:32 2019  reading relations for dependency 1
  985. Thu Mar 28 02:40:34 2019  read 12456567 cycles
  986. Thu Mar 28 02:41:05 2019  cycles contain 42950486 unique relations
  987. Thu Mar 28 02:44:49 2019  read 42950486 relations
  988. Thu Mar 28 02:48:48 2019  multiplying 42950486 relations
  989. Thu Mar 28 03:26:02 2019  multiply complete, coefficients have about 1221.01 million bits
  990. Thu Mar 28 03:26:06 2019  initial square root is modulo 300151
  991. Thu Mar 28 04:04:36 2019  sqrtTime: 5044
  992. Thu Mar 28 04:04:36 2019  p67 factor: 1344418628107533745438756966054171962229559432132592250326032592229
  993. Thu Mar 28 04:04:36 2019  p165 factor: 561450683583438787483786192462005847586920827745234635494709465905376723127217565492268608386106518121222305706539946706506906982782423560705604082190160564937582061
  994. Thu Mar 28 04:04:36 2019  elapsed time 01:24:05
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