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5039^73-1 linear algebra log

fivemack Dec 20th, 2018 74 Never
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  1. Tue Dec 11 17:06:26 2018  
  2. Tue Dec 11 17:06:26 2018  
  3. Tue Dec 11 17:06:26 2018  Msieve v. 1.53 (SVN 993)
  4. Tue Dec 11 17:06:26 2018  random seeds: d6deeed0 63978693
  5. Tue Dec 11 17:06:26 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  6. Tue Dec 11 17:06:27 2018  no P-1/P+1/ECM available, skipping
  7. Tue Dec 11 17:06:27 2018  commencing number field sieve (267-digit input)
  8. Tue Dec 11 17:06:27 2018  R0: 267998461123333843822313649147610645572765121
  9. Tue Dec 11 17:06:27 2018  R1: -1
  10. Tue Dec 11 17:06:27 2018  A0: -1
  11. Tue Dec 11 17:06:27 2018  A1: 0
  12. Tue Dec 11 17:06:27 2018  A2: 0
  13. Tue Dec 11 17:06:27 2018  A3: 0
  14. Tue Dec 11 17:06:27 2018  A4: 0
  15. Tue Dec 11 17:06:27 2018  A5: 0
  16. Tue Dec 11 17:06:27 2018  A6: 5039
  17. Tue Dec 11 17:06:27 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  18. Tue Dec 11 17:06:27 2018  
  19. Tue Dec 11 17:06:27 2018  commencing relation filtering
  20. Tue Dec 11 17:06:27 2018  setting target matrix density to 70.0
  21. Tue Dec 11 17:06:27 2018  estimated available RAM is 64123.6 MB
  22. Tue Dec 11 17:06:27 2018  commencing duplicate removal, pass 1
  23.   1547 errors
  24. Tue Dec 11 17:53:52 2018  skipped 1260 relations with composite factors
  25. Tue Dec 11 17:53:52 2018  found 27843707 hash collisions in 365484106 relations
  26. Tue Dec 11 17:54:05 2018  added 1219196 free relations
  27. Tue Dec 11 17:54:05 2018  commencing duplicate removal, pass 2
  28. Tue Dec 11 17:56:08 2018  found 4 duplicates and 366703298 unique relations
  29. Tue Dec 11 17:56:08 2018  memory use: 1321.5 MB
  30. Tue Dec 11 17:56:09 2018  reading ideals above 309919744
  31. Tue Dec 11 17:56:09 2018  commencing singleton removal, initial pass
  32. Tue Dec 11 18:31:06 2018  memory use: 6024.0 MB
  33. Tue Dec 11 18:31:06 2018  reading all ideals from disk
  34. Tue Dec 11 18:31:12 2018  memory use: 6550.2 MB
  35. Tue Dec 11 18:31:28 2018  commencing in-memory singleton removal
  36. Tue Dec 11 18:31:44 2018  begin with 366703298 relations and 313315481 unique ideals
  37. Tue Dec 11 18:35:24 2018  reduce to 238673864 relations and 172543587 ideals in 16 passes
  38. Tue Dec 11 18:35:24 2018  max relations containing the same ideal: 34
  39. Tue Dec 11 18:35:36 2018  reading ideals above 720000
  40. Tue Dec 11 18:35:37 2018  commencing singleton removal, initial pass
  41. Tue Dec 11 19:07:16 2018  memory use: 5512.0 MB
  42. Tue Dec 11 19:07:16 2018  reading all ideals from disk
  43. Tue Dec 11 19:07:25 2018  memory use: 10171.5 MB
  44. Tue Dec 11 19:07:58 2018  keeping 204819190 ideals with weight <= 200, target excess is 1243332
  45. Tue Dec 11 19:08:31 2018  commencing in-memory singleton removal
  46. Tue Dec 11 19:08:56 2018  begin with 238673864 relations and 204819190 unique ideals
  47. Tue Dec 11 19:12:19 2018  reduce to 238668196 relations and 204813522 ideals in 8 passes
  48. Tue Dec 11 19:12:19 2018  max relations containing the same ideal: 200
  49. Tue Dec 11 19:14:29 2018  removing 14245480 relations and 12245480 ideals in 2000000 cliques
  50. Tue Dec 11 19:14:34 2018  commencing in-memory singleton removal
  51. Tue Dec 11 19:14:58 2018  begin with 224422716 relations and 204813522 unique ideals
  52. Tue Dec 11 19:18:31 2018  reduce to 223714882 relations and 191851803 ideals in 9 passes
  53. Tue Dec 11 19:18:31 2018  max relations containing the same ideal: 198
  54. Tue Dec 11 19:20:32 2018  removing 10742584 relations and 8742584 ideals in 2000000 cliques
  55. Tue Dec 11 19:20:37 2018  commencing in-memory singleton removal
  56. Tue Dec 11 19:20:59 2018  begin with 212972298 relations and 191851803 unique ideals
  57. Tue Dec 11 19:23:58 2018  reduce to 212528748 relations and 182661250 ideals in 8 passes
  58. Tue Dec 11 19:23:58 2018  max relations containing the same ideal: 195
  59. Tue Dec 11 19:25:53 2018  removing 9658099 relations and 7658099 ideals in 2000000 cliques
  60. Tue Dec 11 19:25:57 2018  commencing in-memory singleton removal
  61. Tue Dec 11 19:26:18 2018  begin with 202870649 relations and 182661250 unique ideals
  62. Tue Dec 11 19:28:47 2018  reduce to 202489374 relations and 174618274 ideals in 7 passes
  63. Tue Dec 11 19:28:47 2018  max relations containing the same ideal: 189
  64. Tue Dec 11 19:30:37 2018  removing 9073861 relations and 7073861 ideals in 2000000 cliques
  65. Tue Dec 11 19:30:41 2018  commencing in-memory singleton removal
  66. Tue Dec 11 19:31:01 2018  begin with 193415513 relations and 174618274 unique ideals
  67. Tue Dec 11 19:33:22 2018  reduce to 193063343 relations and 167188871 ideals in 7 passes
  68. Tue Dec 11 19:33:22 2018  max relations containing the same ideal: 185
  69. Tue Dec 11 19:35:08 2018  removing 8705723 relations and 6705723 ideals in 2000000 cliques
  70. Tue Dec 11 19:35:12 2018  commencing in-memory singleton removal
  71. Tue Dec 11 19:35:31 2018  begin with 184357620 relations and 167188871 unique ideals
  72. Tue Dec 11 19:38:04 2018  reduce to 184018920 relations and 160141129 ideals in 8 passes
  73. Tue Dec 11 19:38:04 2018  max relations containing the same ideal: 179
  74. Tue Dec 11 19:39:45 2018  removing 8451352 relations and 6451352 ideals in 2000000 cliques
  75. Tue Dec 11 19:39:48 2018  commencing in-memory singleton removal
  76. Tue Dec 11 19:40:07 2018  begin with 175567568 relations and 160141129 unique ideals
  77. Tue Dec 11 19:42:14 2018  reduce to 175235839 relations and 153354649 ideals in 7 passes
  78. Tue Dec 11 19:42:14 2018  max relations containing the same ideal: 175
  79. Tue Dec 11 19:43:50 2018  removing 8271325 relations and 6271325 ideals in 2000000 cliques
  80. Tue Dec 11 19:43:54 2018  commencing in-memory singleton removal
  81. Tue Dec 11 19:44:11 2018  begin with 166964514 relations and 153354649 unique ideals
  82. Tue Dec 11 19:46:28 2018  reduce to 166633364 relations and 146748690 ideals in 8 passes
  83. Tue Dec 11 19:46:28 2018  max relations containing the same ideal: 169
  84. Tue Dec 11 19:48:01 2018  removing 8143657 relations and 6143657 ideals in 2000000 cliques
  85. Tue Dec 11 19:48:04 2018  commencing in-memory singleton removal
  86. Tue Dec 11 19:48:21 2018  begin with 158489707 relations and 146748690 unique ideals
  87. Tue Dec 11 19:49:57 2018  reduce to 158154376 relations and 140266073 ideals in 6 passes
  88. Tue Dec 11 19:49:57 2018  max relations containing the same ideal: 161
  89. Tue Dec 11 19:51:25 2018  removing 8052262 relations and 6052262 ideals in 2000000 cliques
  90. Tue Dec 11 19:51:28 2018  commencing in-memory singleton removal
  91. Tue Dec 11 19:51:44 2018  begin with 150102114 relations and 140266073 unique ideals
  92. Tue Dec 11 19:53:45 2018  reduce to 149759721 relations and 133867543 ideals in 8 passes
  93. Tue Dec 11 19:53:45 2018  max relations containing the same ideal: 157
  94. Tue Dec 11 19:55:09 2018  removing 7992683 relations and 5992683 ideals in 2000000 cliques
  95. Tue Dec 11 19:55:12 2018  commencing in-memory singleton removal
  96. Tue Dec 11 19:55:26 2018  begin with 141767038 relations and 133867543 unique ideals
  97. Tue Dec 11 19:57:06 2018  reduce to 141415110 relations and 127518754 ideals in 7 passes
  98. Tue Dec 11 19:57:06 2018  max relations containing the same ideal: 151
  99. Tue Dec 11 19:58:26 2018  removing 7959344 relations and 5959344 ideals in 2000000 cliques
  100. Tue Dec 11 19:58:29 2018  commencing in-memory singleton removal
  101. Tue Dec 11 19:58:42 2018  begin with 133455766 relations and 127518754 unique ideals
  102. Tue Dec 11 20:00:30 2018  reduce to 133088475 relations and 121187477 ideals in 8 passes
  103. Tue Dec 11 20:00:30 2018  max relations containing the same ideal: 144
  104. Tue Dec 11 20:01:46 2018  removing 7947956 relations and 5947956 ideals in 2000000 cliques
  105. Tue Dec 11 20:01:49 2018  commencing in-memory singleton removal
  106. Tue Dec 11 20:02:01 2018  begin with 125140519 relations and 121187477 unique ideals
  107. Tue Dec 11 20:03:29 2018  reduce to 124752493 relations and 114846395 ideals in 7 passes
  108. Tue Dec 11 20:03:29 2018  max relations containing the same ideal: 139
  109. Tue Dec 11 20:04:41 2018  removing 7948012 relations and 5948012 ideals in 2000000 cliques
  110. Tue Dec 11 20:04:43 2018  commencing in-memory singleton removal
  111. Tue Dec 11 20:04:55 2018  begin with 116804481 relations and 114846395 unique ideals
  112. Tue Dec 11 20:06:28 2018  reduce to 116392578 relations and 108480602 ideals in 8 passes
  113. Tue Dec 11 20:06:28 2018  max relations containing the same ideal: 133
  114. Tue Dec 11 20:07:35 2018  removing 7968700 relations and 5968700 ideals in 2000000 cliques
  115. Tue Dec 11 20:07:38 2018  commencing in-memory singleton removal
  116. Tue Dec 11 20:07:49 2018  begin with 108423878 relations and 108480602 unique ideals
  117. Tue Dec 11 20:09:15 2018  reduce to 107982809 relations and 102064325 ideals in 8 passes
  118. Tue Dec 11 20:09:15 2018  max relations containing the same ideal: 125
  119. Tue Dec 11 20:10:17 2018  removing 8010996 relations and 6010996 ideals in 2000000 cliques
  120. Tue Dec 11 20:10:20 2018  commencing in-memory singleton removal
  121. Tue Dec 11 20:10:30 2018  begin with 99971813 relations and 102064325 unique ideals
  122. Tue Dec 11 20:11:39 2018  reduce to 99493281 relations and 95567116 ideals in 7 passes
  123. Tue Dec 11 20:11:39 2018  max relations containing the same ideal: 116
  124. Tue Dec 11 20:12:36 2018  removing 8070919 relations and 6070919 ideals in 2000000 cliques
  125. Tue Dec 11 20:12:39 2018  commencing in-memory singleton removal
  126. Tue Dec 11 20:12:48 2018  begin with 91422362 relations and 95567116 unique ideals
  127. Tue Dec 11 20:13:59 2018  reduce to 90895514 relations and 88960095 ideals in 8 passes
  128. Tue Dec 11 20:13:59 2018  max relations containing the same ideal: 111
  129. Tue Dec 11 20:14:52 2018  removing 2623089 relations and 2129936 ideals in 493153 cliques
  130. Tue Dec 11 20:14:54 2018  commencing in-memory singleton removal
  131. Tue Dec 11 20:15:02 2018  begin with 88272425 relations and 88960095 unique ideals
  132. Tue Dec 11 20:15:54 2018  reduce to 88219128 relations and 86776594 ideals in 6 passes
  133. Tue Dec 11 20:15:54 2018  max relations containing the same ideal: 110
  134. Tue Dec 11 20:16:56 2018  relations with 0 large ideals: 46338
  135. Tue Dec 11 20:16:56 2018  relations with 1 large ideals: 11919
  136. Tue Dec 11 20:16:56 2018  relations with 2 large ideals: 180008
  137. Tue Dec 11 20:16:56 2018  relations with 3 large ideals: 1344282
  138. Tue Dec 11 20:16:56 2018  relations with 4 large ideals: 5545743
  139. Tue Dec 11 20:16:56 2018  relations with 5 large ideals: 13860655
  140. Tue Dec 11 20:16:56 2018  relations with 6 large ideals: 21942501
  141. Tue Dec 11 20:16:56 2018  relations with 7+ large ideals: 45287682
  142. Tue Dec 11 20:16:56 2018  commencing 2-way merge
  143. Tue Dec 11 20:18:00 2018  reduce to 57100680 relation sets and 55658146 unique ideals
  144. Tue Dec 11 20:18:00 2018  commencing full merge
  145. Tue Dec 11 20:30:58 2018  memory use: 6696.7 MB
  146. Tue Dec 11 20:31:04 2018  found 31155067 cycles, need 30956346
  147. Tue Dec 11 20:31:13 2018  weight of 30956346 cycles is about 2167045201 (70.00/cycle)
  148. Tue Dec 11 20:31:13 2018  distribution of cycle lengths:
  149. Tue Dec 11 20:31:13 2018  1 relations: 4292435
  150. Tue Dec 11 20:31:13 2018  2 relations: 4027607
  151. Tue Dec 11 20:31:13 2018  3 relations: 3914090
  152. Tue Dec 11 20:31:13 2018  4 relations: 3591144
  153. Tue Dec 11 20:31:13 2018  5 relations: 3210484
  154. Tue Dec 11 20:31:13 2018  6 relations: 2833924
  155. Tue Dec 11 20:31:13 2018  7 relations: 2412259
  156. Tue Dec 11 20:31:13 2018  8 relations: 1953593
  157. Tue Dec 11 20:31:13 2018  9 relations: 1515139
  158. Tue Dec 11 20:31:13 2018  10+ relations: 3205671
  159. Tue Dec 11 20:31:13 2018  heaviest cycle: 19 relations
  160. Tue Dec 11 20:31:23 2018  commencing cycle optimization
  161. Tue Dec 11 20:32:04 2018  start with 154335445 relations
  162. Tue Dec 11 20:34:58 2018  pruned 3427184 relations
  163. Tue Dec 11 20:35:00 2018  memory use: 5214.2 MB
  164. Tue Dec 11 20:35:01 2018  distribution of cycle lengths:
  165. Tue Dec 11 20:35:01 2018  1 relations: 4292435
  166. Tue Dec 11 20:35:01 2018  2 relations: 4108432
  167. Tue Dec 11 20:35:01 2018  3 relations: 4042801
  168. Tue Dec 11 20:35:01 2018  4 relations: 3670726
  169. Tue Dec 11 20:35:01 2018  5 relations: 3286919
  170. Tue Dec 11 20:35:01 2018  6 relations: 2871596
  171. Tue Dec 11 20:35:01 2018  7 relations: 2429535
  172. Tue Dec 11 20:35:01 2018  8 relations: 1934480
  173. Tue Dec 11 20:35:01 2018  9 relations: 1476150
  174. Tue Dec 11 20:35:01 2018  10+ relations: 2843272
  175. Tue Dec 11 20:35:01 2018  heaviest cycle: 19 relations
  176. Tue Dec 11 20:35:46 2018  RelProcTime: 12559
  177. Tue Dec 11 20:35:59 2018  elapsed time 03:29:33
  178. Tue Dec 11 20:36:00 2018  
  179. Tue Dec 11 20:36:00 2018  
  180. Tue Dec 11 20:36:00 2018  Msieve v. 1.53 (SVN 993)
  181. Tue Dec 11 20:36:00 2018  random seeds: 1ba59c99 5cc75053
  182. Tue Dec 11 20:36:00 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  183. Tue Dec 11 20:36:01 2018  no P-1/P+1/ECM available, skipping
  184. Tue Dec 11 20:36:01 2018  commencing number field sieve (267-digit input)
  185. Tue Dec 11 20:36:01 2018  R0: 267998461123333843822313649147610645572765121
  186. Tue Dec 11 20:36:01 2018  R1: -1
  187. Tue Dec 11 20:36:01 2018  A0: -1
  188. Tue Dec 11 20:36:01 2018  A1: 0
  189. Tue Dec 11 20:36:01 2018  A2: 0
  190. Tue Dec 11 20:36:01 2018  A3: 0
  191. Tue Dec 11 20:36:01 2018  A4: 0
  192. Tue Dec 11 20:36:01 2018  A5: 0
  193. Tue Dec 11 20:36:01 2018  A6: 5039
  194. Tue Dec 11 20:36:01 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  195. Tue Dec 11 20:36:01 2018  
  196. Tue Dec 11 20:36:01 2018  commencing relation filtering
  197. Tue Dec 11 20:36:01 2018  setting target matrix density to 134.0
  198. Tue Dec 11 20:36:01 2018  estimated available RAM is 64123.6 MB
  199. Tue Dec 11 20:36:01 2018  commencing duplicate removal, pass 1
  200.   1547 errors
  201. Tue Dec 11 21:19:11 2018  skipped 1260 relations with composite factors
  202. Tue Dec 11 21:19:11 2018  found 28019610 hash collisions in 366703302 relations
  203. Tue Dec 11 21:19:21 2018  commencing duplicate removal, pass 2
  204. Tue Dec 11 21:21:17 2018  found 4 duplicates and 366703298 unique relations
  205. Tue Dec 11 21:21:17 2018  memory use: 1321.5 MB
  206. Tue Dec 11 21:21:17 2018  reading ideals above 309919744
  207. Tue Dec 11 21:21:17 2018  commencing singleton removal, initial pass
  208. Tue Dec 11 21:51:50 2018  memory use: 6024.0 MB
  209. Tue Dec 11 21:51:50 2018  reading all ideals from disk
  210. Tue Dec 11 21:51:52 2018  memory use: 6550.2 MB
  211. Tue Dec 11 21:52:09 2018  commencing in-memory singleton removal
  212. Tue Dec 11 21:52:26 2018  begin with 366703298 relations and 313315481 unique ideals
  213. Tue Dec 11 21:56:14 2018  reduce to 238673864 relations and 172543587 ideals in 16 passes
  214. Tue Dec 11 21:56:14 2018  max relations containing the same ideal: 34
  215. Tue Dec 11 21:56:26 2018  reading ideals above 720000
  216. Tue Dec 11 21:56:26 2018  commencing singleton removal, initial pass
  217. Tue Dec 11 22:24:40 2018  memory use: 5512.0 MB
  218. Tue Dec 11 22:24:40 2018  reading all ideals from disk
  219. Tue Dec 11 22:24:44 2018  memory use: 10171.5 MB
  220. Tue Dec 11 22:25:17 2018  keeping 204819190 ideals with weight <= 200, target excess is 1243332
  221. Tue Dec 11 22:25:51 2018  commencing in-memory singleton removal
  222. Tue Dec 11 22:26:17 2018  begin with 238673864 relations and 204819190 unique ideals
  223. Tue Dec 11 22:29:54 2018  reduce to 238668196 relations and 204813522 ideals in 8 passes
  224. Tue Dec 11 22:29:54 2018  max relations containing the same ideal: 200
  225. Tue Dec 11 22:32:05 2018  removing 14245480 relations and 12245480 ideals in 2000000 cliques
  226. Tue Dec 11 22:32:10 2018  commencing in-memory singleton removal
  227. Tue Dec 11 22:32:35 2018  begin with 224422716 relations and 204813522 unique ideals
  228. Tue Dec 11 22:36:23 2018  reduce to 223714882 relations and 191851803 ideals in 9 passes
  229. Tue Dec 11 22:36:23 2018  max relations containing the same ideal: 198
  230. Tue Dec 11 22:38:28 2018  removing 10742584 relations and 8742584 ideals in 2000000 cliques
  231. Tue Dec 11 22:38:32 2018  commencing in-memory singleton removal
  232. Tue Dec 11 22:38:55 2018  begin with 212972298 relations and 191851803 unique ideals
  233. Tue Dec 11 22:42:08 2018  reduce to 212528748 relations and 182661250 ideals in 8 passes
  234. Tue Dec 11 22:42:08 2018  max relations containing the same ideal: 195
  235. Tue Dec 11 22:44:06 2018  removing 9658099 relations and 7658099 ideals in 2000000 cliques
  236. Tue Dec 11 22:44:10 2018  commencing in-memory singleton removal
  237. Tue Dec 11 22:44:32 2018  begin with 202870649 relations and 182661250 unique ideals
  238. Tue Dec 11 22:47:12 2018  reduce to 202489374 relations and 174618274 ideals in 7 passes
  239. Tue Dec 11 22:47:12 2018  max relations containing the same ideal: 189
  240. Tue Dec 11 22:49:05 2018  removing 9073861 relations and 7073861 ideals in 2000000 cliques
  241. Tue Dec 11 22:49:09 2018  commencing in-memory singleton removal
  242. Tue Dec 11 22:49:29 2018  begin with 193415513 relations and 174618274 unique ideals
  243. Tue Dec 11 22:52:02 2018  reduce to 193063343 relations and 167188871 ideals in 7 passes
  244. Tue Dec 11 22:52:02 2018  max relations containing the same ideal: 185
  245. Tue Dec 11 22:53:50 2018  removing 8705723 relations and 6705723 ideals in 2000000 cliques
  246. Tue Dec 11 22:53:54 2018  commencing in-memory singleton removal
  247. Tue Dec 11 22:54:14 2018  begin with 184357620 relations and 167188871 unique ideals
  248. Tue Dec 11 22:56:59 2018  reduce to 184018920 relations and 160141129 ideals in 8 passes
  249. Tue Dec 11 22:56:59 2018  max relations containing the same ideal: 179
  250. Tue Dec 11 22:58:43 2018  removing 8451352 relations and 6451352 ideals in 2000000 cliques
  251. Tue Dec 11 22:58:46 2018  commencing in-memory singleton removal
  252. Tue Dec 11 22:59:05 2018  begin with 175567568 relations and 160141129 unique ideals
  253. Tue Dec 11 23:01:22 2018  reduce to 175235839 relations and 153354649 ideals in 7 passes
  254. Tue Dec 11 23:01:22 2018  max relations containing the same ideal: 175
  255. Tue Dec 11 23:03:02 2018  removing 8271325 relations and 6271325 ideals in 2000000 cliques
  256. Tue Dec 11 23:03:05 2018  commencing in-memory singleton removal
  257. Tue Dec 11 23:03:23 2018  begin with 166964514 relations and 153354649 unique ideals
  258. Tue Dec 11 23:05:51 2018  reduce to 166633364 relations and 146748690 ideals in 8 passes
  259. Tue Dec 11 23:05:51 2018  max relations containing the same ideal: 169
  260. Tue Dec 11 23:07:27 2018  removing 8143657 relations and 6143657 ideals in 2000000 cliques
  261. Tue Dec 11 23:07:30 2018  commencing in-memory singleton removal
  262. Tue Dec 11 23:07:47 2018  begin with 158489707 relations and 146748690 unique ideals
  263. Tue Dec 11 23:09:32 2018  reduce to 158154376 relations and 140266073 ideals in 6 passes
  264. Tue Dec 11 23:09:32 2018  max relations containing the same ideal: 161
  265. Tue Dec 11 23:11:03 2018  removing 8052262 relations and 6052262 ideals in 2000000 cliques
  266. Tue Dec 11 23:11:06 2018  commencing in-memory singleton removal
  267. Tue Dec 11 23:11:22 2018  begin with 150102114 relations and 140266073 unique ideals
  268. Tue Dec 11 23:13:34 2018  reduce to 149759721 relations and 133867543 ideals in 8 passes
  269. Tue Dec 11 23:13:34 2018  max relations containing the same ideal: 157
  270. Tue Dec 11 23:15:01 2018  removing 7992683 relations and 5992683 ideals in 2000000 cliques
  271. Tue Dec 11 23:15:04 2018  commencing in-memory singleton removal
  272. Tue Dec 11 23:15:19 2018  begin with 141767038 relations and 133867543 unique ideals
  273. Tue Dec 11 23:17:08 2018  reduce to 141415110 relations and 127518754 ideals in 7 passes
  274. Tue Dec 11 23:17:08 2018  max relations containing the same ideal: 151
  275. Tue Dec 11 23:18:30 2018  removing 7959344 relations and 5959344 ideals in 2000000 cliques
  276. Tue Dec 11 23:18:33 2018  commencing in-memory singleton removal
  277. Tue Dec 11 23:18:47 2018  begin with 133455766 relations and 127518754 unique ideals
  278. Tue Dec 11 23:20:43 2018  reduce to 133088475 relations and 121187477 ideals in 8 passes
  279. Tue Dec 11 23:20:43 2018  max relations containing the same ideal: 144
  280. Tue Dec 11 23:22:00 2018  removing 7947956 relations and 5947956 ideals in 2000000 cliques
  281. Tue Dec 11 23:22:03 2018  commencing in-memory singleton removal
  282. Tue Dec 11 23:22:16 2018  begin with 125140519 relations and 121187477 unique ideals
  283. Tue Dec 11 23:23:51 2018  reduce to 124752493 relations and 114846395 ideals in 7 passes
  284. Tue Dec 11 23:23:51 2018  max relations containing the same ideal: 139
  285. Tue Dec 11 23:25:04 2018  removing 7948012 relations and 5948012 ideals in 2000000 cliques
  286. Tue Dec 11 23:25:07 2018  commencing in-memory singleton removal
  287. Tue Dec 11 23:25:19 2018  begin with 116804481 relations and 114846395 unique ideals
  288. Tue Dec 11 23:27:00 2018  reduce to 116392578 relations and 108480602 ideals in 8 passes
  289. Tue Dec 11 23:27:00 2018  max relations containing the same ideal: 133
  290. Tue Dec 11 23:28:09 2018  removing 7968700 relations and 5968700 ideals in 2000000 cliques
  291. Tue Dec 11 23:28:11 2018  commencing in-memory singleton removal
  292. Tue Dec 11 23:28:22 2018  begin with 108423878 relations and 108480602 unique ideals
  293. Tue Dec 11 23:29:56 2018  reduce to 107982809 relations and 102064325 ideals in 8 passes
  294. Tue Dec 11 23:29:56 2018  max relations containing the same ideal: 125
  295. Tue Dec 11 23:30:59 2018  removing 8010996 relations and 6010996 ideals in 2000000 cliques
  296. Tue Dec 11 23:31:02 2018  commencing in-memory singleton removal
  297. Tue Dec 11 23:31:12 2018  begin with 99971813 relations and 102064325 unique ideals
  298. Tue Dec 11 23:32:27 2018  reduce to 99493281 relations and 95567116 ideals in 7 passes
  299. Tue Dec 11 23:32:27 2018  max relations containing the same ideal: 116
  300. Tue Dec 11 23:33:26 2018  removing 8070919 relations and 6070919 ideals in 2000000 cliques
  301. Tue Dec 11 23:33:28 2018  commencing in-memory singleton removal
  302. Tue Dec 11 23:33:38 2018  begin with 91422362 relations and 95567116 unique ideals
  303. Tue Dec 11 23:34:55 2018  reduce to 90895514 relations and 88960095 ideals in 8 passes
  304. Tue Dec 11 23:34:55 2018  max relations containing the same ideal: 111
  305. Tue Dec 11 23:35:49 2018  removing 2623089 relations and 2129936 ideals in 493153 cliques
  306. Tue Dec 11 23:35:51 2018  commencing in-memory singleton removal
  307. Tue Dec 11 23:36:00 2018  begin with 88272425 relations and 88960095 unique ideals
  308. Tue Dec 11 23:36:56 2018  reduce to 88219128 relations and 86776594 ideals in 6 passes
  309. Tue Dec 11 23:36:56 2018  max relations containing the same ideal: 110
  310. Tue Dec 11 23:37:59 2018  relations with 0 large ideals: 46338
  311. Tue Dec 11 23:37:59 2018  relations with 1 large ideals: 11919
  312. Tue Dec 11 23:37:59 2018  relations with 2 large ideals: 180008
  313. Tue Dec 11 23:37:59 2018  relations with 3 large ideals: 1344282
  314. Tue Dec 11 23:37:59 2018  relations with 4 large ideals: 5545743
  315. Tue Dec 11 23:37:59 2018  relations with 5 large ideals: 13860655
  316. Tue Dec 11 23:37:59 2018  relations with 6 large ideals: 21942501
  317. Tue Dec 11 23:37:59 2018  relations with 7+ large ideals: 45287682
  318. Tue Dec 11 23:37:59 2018  commencing 2-way merge
  319. Tue Dec 11 23:39:05 2018  reduce to 57100680 relation sets and 55658146 unique ideals
  320. Tue Dec 11 23:39:05 2018  commencing full merge
  321. Wed Dec 12 00:25:07 2018  memory use: 2573.5 MB
  322. Wed Dec 12 00:25:07 2018  found 190707 cycles, need 12065032
  323. Wed Dec 12 00:25:08 2018  too few cycles, matrix probably cannot build
  324. Wed Dec 12 00:25:08 2018  
  325. Wed Dec 12 00:25:08 2018  
  326. Wed Dec 12 00:25:08 2018  Msieve v. 1.53 (SVN 993)
  327. Wed Dec 12 00:25:08 2018  random seeds: b14152ac a03d6efb
  328. Wed Dec 12 00:25:08 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  329. Wed Dec 12 00:25:10 2018  no P-1/P+1/ECM available, skipping
  330. Wed Dec 12 00:25:10 2018  commencing number field sieve (267-digit input)
  331. Wed Dec 12 00:25:10 2018  R0: 267998461123333843822313649147610645572765121
  332. Wed Dec 12 00:25:10 2018  R1: -1
  333. Wed Dec 12 00:25:10 2018  A0: -1
  334. Wed Dec 12 00:25:10 2018  A1: 0
  335. Wed Dec 12 00:25:10 2018  A2: 0
  336. Wed Dec 12 00:25:10 2018  A3: 0
  337. Wed Dec 12 00:25:10 2018  A4: 0
  338. Wed Dec 12 00:25:10 2018  A5: 0
  339. Wed Dec 12 00:25:10 2018  A6: 5039
  340. Wed Dec 12 00:25:10 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  341. Wed Dec 12 00:25:10 2018  
  342. Wed Dec 12 00:25:10 2018  commencing relation filtering
  343. Wed Dec 12 00:25:10 2018  setting target matrix density to 102.0
  344. Wed Dec 12 00:25:10 2018  estimated available RAM is 64123.6 MB
  345. Wed Dec 12 00:25:10 2018  commencing duplicate removal, pass 1
  346.   1547 errors
  347. Wed Dec 12 01:08:16 2018  skipped 1260 relations with composite factors
  348. Wed Dec 12 01:08:16 2018  found 28019610 hash collisions in 366703302 relations
  349. Wed Dec 12 01:08:25 2018  commencing duplicate removal, pass 2
  350. Wed Dec 12 01:10:18 2018  found 4 duplicates and 366703298 unique relations
  351. Wed Dec 12 01:10:18 2018  memory use: 1321.5 MB
  352. Wed Dec 12 01:10:18 2018  reading ideals above 309919744
  353. Wed Dec 12 01:10:18 2018  commencing singleton removal, initial pass
  354. Wed Dec 12 01:41:00 2018  memory use: 6024.0 MB
  355. Wed Dec 12 01:41:00 2018  reading all ideals from disk
  356. Wed Dec 12 01:41:03 2018  memory use: 6550.2 MB
  357. Wed Dec 12 01:41:19 2018  commencing in-memory singleton removal
  358. Wed Dec 12 01:41:35 2018  begin with 366703298 relations and 313315481 unique ideals
  359. Wed Dec 12 01:45:17 2018  reduce to 238673864 relations and 172543587 ideals in 16 passes
  360. Wed Dec 12 01:45:17 2018  max relations containing the same ideal: 34
  361. Wed Dec 12 01:45:29 2018  reading ideals above 720000
  362. Wed Dec 12 01:45:30 2018  commencing singleton removal, initial pass
  363. Wed Dec 12 02:13:43 2018  memory use: 5512.0 MB
  364. Wed Dec 12 02:13:44 2018  reading all ideals from disk
  365. Wed Dec 12 02:13:47 2018  memory use: 10171.5 MB
  366. Wed Dec 12 02:14:19 2018  keeping 204819190 ideals with weight <= 200, target excess is 1243332
  367. Wed Dec 12 02:14:52 2018  commencing in-memory singleton removal
  368. Wed Dec 12 02:15:17 2018  begin with 238673864 relations and 204819190 unique ideals
  369. Wed Dec 12 02:18:37 2018  reduce to 238668196 relations and 204813522 ideals in 8 passes
  370. Wed Dec 12 02:18:37 2018  max relations containing the same ideal: 200
  371. Wed Dec 12 02:20:43 2018  removing 14245480 relations and 12245480 ideals in 2000000 cliques
  372. Wed Dec 12 02:20:48 2018  commencing in-memory singleton removal
  373. Wed Dec 12 02:21:12 2018  begin with 224422716 relations and 204813522 unique ideals
  374. Wed Dec 12 02:24:41 2018  reduce to 223714882 relations and 191851803 ideals in 9 passes
  375. Wed Dec 12 02:24:41 2018  max relations containing the same ideal: 198
  376. Wed Dec 12 02:26:41 2018  removing 10742584 relations and 8742584 ideals in 2000000 cliques
  377. Wed Dec 12 02:26:45 2018  commencing in-memory singleton removal
  378. Wed Dec 12 02:27:07 2018  begin with 212972298 relations and 191851803 unique ideals
  379. Wed Dec 12 02:30:03 2018  reduce to 212528748 relations and 182661250 ideals in 8 passes
  380. Wed Dec 12 02:30:03 2018  max relations containing the same ideal: 195
  381. Wed Dec 12 02:31:57 2018  removing 9658099 relations and 7658099 ideals in 2000000 cliques
  382. Wed Dec 12 02:32:01 2018  commencing in-memory singleton removal
  383. Wed Dec 12 02:32:22 2018  begin with 202870649 relations and 182661250 unique ideals
  384. Wed Dec 12 02:34:49 2018  reduce to 202489374 relations and 174618274 ideals in 7 passes
  385. Wed Dec 12 02:34:49 2018  max relations containing the same ideal: 189
  386. Wed Dec 12 02:36:38 2018  removing 9073861 relations and 7073861 ideals in 2000000 cliques
  387. Wed Dec 12 02:36:42 2018  commencing in-memory singleton removal
  388. Wed Dec 12 02:37:02 2018  begin with 193415513 relations and 174618274 unique ideals
  389. Wed Dec 12 02:39:21 2018  reduce to 193063343 relations and 167188871 ideals in 7 passes
  390. Wed Dec 12 02:39:21 2018  max relations containing the same ideal: 185
  391. Wed Dec 12 02:41:06 2018  removing 8705723 relations and 6705723 ideals in 2000000 cliques
  392. Wed Dec 12 02:41:09 2018  commencing in-memory singleton removal
  393. Wed Dec 12 02:41:28 2018  begin with 184357620 relations and 167188871 unique ideals
  394. Wed Dec 12 02:43:59 2018  reduce to 184018920 relations and 160141129 ideals in 8 passes
  395. Wed Dec 12 02:43:59 2018  max relations containing the same ideal: 179
  396. Wed Dec 12 02:45:39 2018  removing 8451352 relations and 6451352 ideals in 2000000 cliques
  397. Wed Dec 12 02:45:43 2018  commencing in-memory singleton removal
  398. Wed Dec 12 02:46:01 2018  begin with 175567568 relations and 160141129 unique ideals
  399. Wed Dec 12 02:48:06 2018  reduce to 175235839 relations and 153354649 ideals in 7 passes
  400. Wed Dec 12 02:48:06 2018  max relations containing the same ideal: 175
  401. Wed Dec 12 02:49:42 2018  removing 8271325 relations and 6271325 ideals in 2000000 cliques
  402. Wed Dec 12 02:49:45 2018  commencing in-memory singleton removal
  403. Wed Dec 12 02:50:03 2018  begin with 166964514 relations and 153354649 unique ideals
  404. Wed Dec 12 02:52:18 2018  reduce to 166633364 relations and 146748690 ideals in 8 passes
  405. Wed Dec 12 02:52:18 2018  max relations containing the same ideal: 169
  406. Wed Dec 12 02:53:50 2018  removing 8143657 relations and 6143657 ideals in 2000000 cliques
  407. Wed Dec 12 02:53:53 2018  commencing in-memory singleton removal
  408. Wed Dec 12 02:54:09 2018  begin with 158489707 relations and 146748690 unique ideals
  409. Wed Dec 12 02:55:46 2018  reduce to 158154376 relations and 140266073 ideals in 6 passes
  410. Wed Dec 12 02:55:46 2018  max relations containing the same ideal: 161
  411. Wed Dec 12 02:57:13 2018  removing 8052262 relations and 6052262 ideals in 2000000 cliques
  412. Wed Dec 12 02:57:16 2018  commencing in-memory singleton removal
  413. Wed Dec 12 02:57:32 2018  begin with 150102114 relations and 140266073 unique ideals
  414. Wed Dec 12 02:59:33 2018  reduce to 149759721 relations and 133867543 ideals in 8 passes
  415. Wed Dec 12 02:59:33 2018  max relations containing the same ideal: 157
  416. Wed Dec 12 03:00:56 2018  removing 7992683 relations and 5992683 ideals in 2000000 cliques
  417. Wed Dec 12 03:00:59 2018  commencing in-memory singleton removal
  418. Wed Dec 12 03:01:13 2018  begin with 141767038 relations and 133867543 unique ideals
  419. Wed Dec 12 03:02:53 2018  reduce to 141415110 relations and 127518754 ideals in 7 passes
  420. Wed Dec 12 03:02:53 2018  max relations containing the same ideal: 151
  421. Wed Dec 12 03:04:11 2018  removing 7959344 relations and 5959344 ideals in 2000000 cliques
  422. Wed Dec 12 03:04:14 2018  commencing in-memory singleton removal
  423. Wed Dec 12 03:04:28 2018  begin with 133455766 relations and 127518754 unique ideals
  424. Wed Dec 12 03:06:14 2018  reduce to 133088475 relations and 121187477 ideals in 8 passes
  425. Wed Dec 12 03:06:14 2018  max relations containing the same ideal: 144
  426. Wed Dec 12 03:07:29 2018  removing 7947956 relations and 5947956 ideals in 2000000 cliques
  427. Wed Dec 12 03:07:31 2018  commencing in-memory singleton removal
  428. Wed Dec 12 03:07:44 2018  begin with 125140519 relations and 121187477 unique ideals
  429. Wed Dec 12 03:09:11 2018  reduce to 124752493 relations and 114846395 ideals in 7 passes
  430. Wed Dec 12 03:09:11 2018  max relations containing the same ideal: 139
  431. Wed Dec 12 03:10:21 2018  removing 7948012 relations and 5948012 ideals in 2000000 cliques
  432. Wed Dec 12 03:10:24 2018  commencing in-memory singleton removal
  433. Wed Dec 12 03:10:36 2018  begin with 116804481 relations and 114846395 unique ideals
  434. Wed Dec 12 03:12:08 2018  reduce to 116392578 relations and 108480602 ideals in 8 passes
  435. Wed Dec 12 03:12:08 2018  max relations containing the same ideal: 133
  436. Wed Dec 12 03:13:14 2018  removing 7968700 relations and 5968700 ideals in 2000000 cliques
  437. Wed Dec 12 03:13:16 2018  commencing in-memory singleton removal
  438. Wed Dec 12 03:13:27 2018  begin with 108423878 relations and 108480602 unique ideals
  439. Wed Dec 12 03:14:52 2018  reduce to 107982809 relations and 102064325 ideals in 8 passes
  440. Wed Dec 12 03:14:52 2018  max relations containing the same ideal: 125
  441. Wed Dec 12 03:15:53 2018  removing 8010996 relations and 6010996 ideals in 2000000 cliques
  442. Wed Dec 12 03:15:56 2018  commencing in-memory singleton removal
  443. Wed Dec 12 03:16:06 2018  begin with 99971813 relations and 102064325 unique ideals
  444. Wed Dec 12 03:17:14 2018  reduce to 99493281 relations and 95567116 ideals in 7 passes
  445. Wed Dec 12 03:17:14 2018  max relations containing the same ideal: 116
  446. Wed Dec 12 03:18:11 2018  removing 8070919 relations and 6070919 ideals in 2000000 cliques
  447. Wed Dec 12 03:18:13 2018  commencing in-memory singleton removal
  448. Wed Dec 12 03:18:22 2018  begin with 91422362 relations and 95567116 unique ideals
  449. Wed Dec 12 03:19:33 2018  reduce to 90895514 relations and 88960095 ideals in 8 passes
  450. Wed Dec 12 03:19:33 2018  max relations containing the same ideal: 111
  451. Wed Dec 12 03:20:25 2018  removing 2623089 relations and 2129936 ideals in 493153 cliques
  452. Wed Dec 12 03:20:27 2018  commencing in-memory singleton removal
  453. Wed Dec 12 03:20:35 2018  begin with 88272425 relations and 88960095 unique ideals
  454. Wed Dec 12 03:21:26 2018  reduce to 88219128 relations and 86776594 ideals in 6 passes
  455. Wed Dec 12 03:21:26 2018  max relations containing the same ideal: 110
  456. Wed Dec 12 03:22:28 2018  relations with 0 large ideals: 46338
  457. Wed Dec 12 03:22:28 2018  relations with 1 large ideals: 11919
  458. Wed Dec 12 03:22:28 2018  relations with 2 large ideals: 180008
  459. Wed Dec 12 03:22:28 2018  relations with 3 large ideals: 1344282
  460. Wed Dec 12 03:22:28 2018  relations with 4 large ideals: 5545743
  461. Wed Dec 12 03:22:28 2018  relations with 5 large ideals: 13860655
  462. Wed Dec 12 03:22:28 2018  relations with 6 large ideals: 21942501
  463. Wed Dec 12 03:22:28 2018  relations with 7+ large ideals: 45287682
  464. Wed Dec 12 03:22:28 2018  commencing 2-way merge
  465. Wed Dec 12 03:23:32 2018  reduce to 57100680 relation sets and 55658146 unique ideals
  466. Wed Dec 12 03:23:33 2018  commencing full merge
  467. Wed Dec 12 03:42:30 2018  memory use: 7107.4 MB
  468. Wed Dec 12 03:42:36 2018  found 27197462 cycles, need 27028346
  469. Wed Dec 12 03:42:43 2018  weight of 27028346 cycles is about 2757342275 (102.02/cycle)
  470. Wed Dec 12 03:42:43 2018  distribution of cycle lengths:
  471. Wed Dec 12 03:42:43 2018  1 relations: 2136051
  472. Wed Dec 12 03:42:43 2018  2 relations: 2316266
  473. Wed Dec 12 03:42:43 2018  3 relations: 2409806
  474. Wed Dec 12 03:42:43 2018  4 relations: 2340309
  475. Wed Dec 12 03:42:43 2018  5 relations: 2273308
  476. Wed Dec 12 03:42:43 2018  6 relations: 2134449
  477. Wed Dec 12 03:42:43 2018  7 relations: 2015478
  478. Wed Dec 12 03:42:43 2018  8 relations: 1848130
  479. Wed Dec 12 03:42:43 2018  9 relations: 1671403
  480. Wed Dec 12 03:42:43 2018  10+ relations: 7883146
  481. Wed Dec 12 03:42:43 2018  heaviest cycle: 27 relations
  482. Wed Dec 12 03:42:52 2018  commencing cycle optimization
  483. Wed Dec 12 03:43:38 2018  start with 196675000 relations
  484. Wed Dec 12 03:49:29 2018  pruned 7027577 relations
  485. Wed Dec 12 03:49:32 2018  memory use: 5676.4 MB
  486. Wed Dec 12 03:49:32 2018  distribution of cycle lengths:
  487. Wed Dec 12 03:49:32 2018  1 relations: 2136051
  488. Wed Dec 12 03:49:32 2018  2 relations: 2370799
  489. Wed Dec 12 03:49:32 2018  3 relations: 2506035
  490. Wed Dec 12 03:49:32 2018  4 relations: 2424256
  491. Wed Dec 12 03:49:32 2018  5 relations: 2363316
  492. Wed Dec 12 03:49:32 2018  6 relations: 2209630
  493. Wed Dec 12 03:49:32 2018  7 relations: 2086585
  494. Wed Dec 12 03:49:32 2018  8 relations: 1897209
  495. Wed Dec 12 03:49:32 2018  9 relations: 1708516
  496. Wed Dec 12 03:49:32 2018  10+ relations: 7325949
  497. Wed Dec 12 03:49:32 2018  heaviest cycle: 26 relations
  498. Wed Dec 12 03:50:21 2018  RelProcTime: 12311
  499. Wed Dec 12 03:50:32 2018  elapsed time 03:25:24
  500. Wed Dec 12 03:50:33 2018  
  501. Wed Dec 12 03:50:33 2018  
  502. Wed Dec 12 03:50:33 2018  Msieve v. 1.53 (SVN 993)
  503. Wed Dec 12 03:50:33 2018  random seeds: 6821e966 fa1a5df2
  504. Wed Dec 12 03:50:33 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  505. Wed Dec 12 03:50:34 2018  no P-1/P+1/ECM available, skipping
  506. Wed Dec 12 03:50:34 2018  commencing number field sieve (267-digit input)
  507. Wed Dec 12 03:50:34 2018  R0: 267998461123333843822313649147610645572765121
  508. Wed Dec 12 03:50:34 2018  R1: -1
  509. Wed Dec 12 03:50:34 2018  A0: -1
  510. Wed Dec 12 03:50:34 2018  A1: 0
  511. Wed Dec 12 03:50:34 2018  A2: 0
  512. Wed Dec 12 03:50:34 2018  A3: 0
  513. Wed Dec 12 03:50:34 2018  A4: 0
  514. Wed Dec 12 03:50:34 2018  A5: 0
  515. Wed Dec 12 03:50:34 2018  A6: 5039
  516. Wed Dec 12 03:50:34 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  517. Wed Dec 12 03:50:34 2018  
  518. Wed Dec 12 03:50:34 2018  commencing relation filtering
  519. Wed Dec 12 03:50:34 2018  setting target matrix density to 118.0
  520. Wed Dec 12 03:50:34 2018  estimated available RAM is 64123.6 MB
  521. Wed Dec 12 03:50:34 2018  commencing duplicate removal, pass 1
  522.   1547 errors
  523. Wed Dec 12 04:33:44 2018  skipped 1260 relations with composite factors
  524. Wed Dec 12 04:33:44 2018  found 28019610 hash collisions in 366703302 relations
  525. Wed Dec 12 04:33:54 2018  commencing duplicate removal, pass 2
  526. Wed Dec 12 04:35:46 2018  found 4 duplicates and 366703298 unique relations
  527. Wed Dec 12 04:35:46 2018  memory use: 1321.5 MB
  528. Wed Dec 12 04:35:46 2018  reading ideals above 309919744
  529. Wed Dec 12 04:35:46 2018  commencing singleton removal, initial pass
  530. Wed Dec 12 05:06:18 2018  memory use: 6024.0 MB
  531. Wed Dec 12 05:06:18 2018  reading all ideals from disk
  532. Wed Dec 12 05:06:21 2018  memory use: 6550.2 MB
  533. Wed Dec 12 05:06:37 2018  commencing in-memory singleton removal
  534. Wed Dec 12 05:06:53 2018  begin with 366703298 relations and 313315481 unique ideals
  535. Wed Dec 12 05:10:22 2018  reduce to 238673864 relations and 172543587 ideals in 16 passes
  536. Wed Dec 12 05:10:22 2018  max relations containing the same ideal: 34
  537. Wed Dec 12 05:10:34 2018  reading ideals above 720000
  538. Wed Dec 12 05:10:35 2018  commencing singleton removal, initial pass
  539. Wed Dec 12 05:38:46 2018  memory use: 5512.0 MB
  540. Wed Dec 12 05:38:46 2018  reading all ideals from disk
  541. Wed Dec 12 05:38:50 2018  memory use: 10171.5 MB
  542. Wed Dec 12 05:39:24 2018  keeping 204819190 ideals with weight <= 200, target excess is 1243332
  543. Wed Dec 12 05:39:59 2018  commencing in-memory singleton removal
  544. Wed Dec 12 05:40:25 2018  begin with 238673864 relations and 204819190 unique ideals
  545. Wed Dec 12 05:44:10 2018  reduce to 238668196 relations and 204813522 ideals in 8 passes
  546. Wed Dec 12 05:44:10 2018  max relations containing the same ideal: 200
  547. Wed Dec 12 05:46:25 2018  removing 14245480 relations and 12245480 ideals in 2000000 cliques
  548. Wed Dec 12 05:46:29 2018  commencing in-memory singleton removal
  549. Wed Dec 12 05:46:54 2018  begin with 224422716 relations and 204813522 unique ideals
  550. Wed Dec 12 05:50:53 2018  reduce to 223714882 relations and 191851803 ideals in 9 passes
  551. Wed Dec 12 05:50:53 2018  max relations containing the same ideal: 198
  552. Wed Dec 12 05:53:00 2018  removing 10742584 relations and 8742584 ideals in 2000000 cliques
  553. Wed Dec 12 05:53:05 2018  commencing in-memory singleton removal
  554. Wed Dec 12 05:53:28 2018  begin with 212972298 relations and 191851803 unique ideals
  555. Wed Dec 12 05:56:48 2018  reduce to 212528748 relations and 182661250 ideals in 8 passes
  556. Wed Dec 12 05:56:48 2018  max relations containing the same ideal: 195
  557. Wed Dec 12 05:58:49 2018  removing 9658099 relations and 7658099 ideals in 2000000 cliques
  558. Wed Dec 12 05:58:53 2018  commencing in-memory singleton removal
  559. Wed Dec 12 05:59:15 2018  begin with 202870649 relations and 182661250 unique ideals
  560. Wed Dec 12 06:02:02 2018  reduce to 202489374 relations and 174618274 ideals in 7 passes
  561. Wed Dec 12 06:02:02 2018  max relations containing the same ideal: 189
  562. Wed Dec 12 06:03:57 2018  removing 9073861 relations and 7073861 ideals in 2000000 cliques
  563. Wed Dec 12 06:04:01 2018  commencing in-memory singleton removal
  564. Wed Dec 12 06:04:22 2018  begin with 193415513 relations and 174618274 unique ideals
  565. Wed Dec 12 06:07:01 2018  reduce to 193063343 relations and 167188871 ideals in 7 passes
  566. Wed Dec 12 06:07:01 2018  max relations containing the same ideal: 185
  567. Wed Dec 12 06:08:51 2018  removing 8705723 relations and 6705723 ideals in 2000000 cliques
  568. Wed Dec 12 06:08:55 2018  commencing in-memory singleton removal
  569. Wed Dec 12 06:09:15 2018  begin with 184357620 relations and 167188871 unique ideals
  570. Wed Dec 12 06:12:07 2018  reduce to 184018920 relations and 160141129 ideals in 8 passes
  571. Wed Dec 12 06:12:07 2018  max relations containing the same ideal: 179
  572. Wed Dec 12 06:13:53 2018  removing 8451352 relations and 6451352 ideals in 2000000 cliques
  573. Wed Dec 12 06:13:57 2018  commencing in-memory singleton removal
  574. Wed Dec 12 06:14:16 2018  begin with 175567568 relations and 160141129 unique ideals
  575. Wed Dec 12 06:16:38 2018  reduce to 175235839 relations and 153354649 ideals in 7 passes
  576. Wed Dec 12 06:16:38 2018  max relations containing the same ideal: 175
  577. Wed Dec 12 06:18:20 2018  removing 8271325 relations and 6271325 ideals in 2000000 cliques
  578. Wed Dec 12 06:18:23 2018  commencing in-memory singleton removal
  579. Wed Dec 12 06:18:41 2018  begin with 166964514 relations and 153354649 unique ideals
  580. Wed Dec 12 06:21:16 2018  reduce to 166633364 relations and 146748690 ideals in 8 passes
  581. Wed Dec 12 06:21:16 2018  max relations containing the same ideal: 169
  582. Wed Dec 12 06:22:52 2018  removing 8143657 relations and 6143657 ideals in 2000000 cliques
  583. Wed Dec 12 06:22:56 2018  commencing in-memory singleton removal
  584. Wed Dec 12 06:23:13 2018  begin with 158489707 relations and 146748690 unique ideals
  585. Wed Dec 12 06:25:03 2018  reduce to 158154376 relations and 140266073 ideals in 6 passes
  586. Wed Dec 12 06:25:03 2018  max relations containing the same ideal: 161
  587. Wed Dec 12 06:26:35 2018  removing 8052262 relations and 6052262 ideals in 2000000 cliques
  588. Wed Dec 12 06:26:38 2018  commencing in-memory singleton removal
  589. Wed Dec 12 06:26:54 2018  begin with 150102114 relations and 140266073 unique ideals
  590. Wed Dec 12 06:29:12 2018  reduce to 149759721 relations and 133867543 ideals in 8 passes
  591. Wed Dec 12 06:29:12 2018  max relations containing the same ideal: 157
  592. Wed Dec 12 06:30:40 2018  removing 7992683 relations and 5992683 ideals in 2000000 cliques
  593. Wed Dec 12 06:30:43 2018  commencing in-memory singleton removal
  594. Wed Dec 12 06:30:58 2018  begin with 141767038 relations and 133867543 unique ideals
  595. Wed Dec 12 06:32:51 2018  reduce to 141415110 relations and 127518754 ideals in 7 passes
  596. Wed Dec 12 06:32:51 2018  max relations containing the same ideal: 151
  597. Wed Dec 12 06:34:15 2018  removing 7959344 relations and 5959344 ideals in 2000000 cliques
  598. Wed Dec 12 06:34:18 2018  commencing in-memory singleton removal
  599. Wed Dec 12 06:34:32 2018  begin with 133455766 relations and 127518754 unique ideals
  600. Wed Dec 12 06:36:33 2018  reduce to 133088475 relations and 121187477 ideals in 8 passes
  601. Wed Dec 12 06:36:33 2018  max relations containing the same ideal: 144
  602. Wed Dec 12 06:37:52 2018  removing 7947956 relations and 5947956 ideals in 2000000 cliques
  603. Wed Dec 12 06:37:55 2018  commencing in-memory singleton removal
  604. Wed Dec 12 06:38:08 2018  begin with 125140519 relations and 121187477 unique ideals
  605. Wed Dec 12 06:39:47 2018  reduce to 124752493 relations and 114846395 ideals in 7 passes
  606. Wed Dec 12 06:39:47 2018  max relations containing the same ideal: 139
  607. Wed Dec 12 06:41:02 2018  removing 7948012 relations and 5948012 ideals in 2000000 cliques
  608. Wed Dec 12 06:41:04 2018  commencing in-memory singleton removal
  609. Wed Dec 12 06:41:17 2018  begin with 116804481 relations and 114846395 unique ideals
  610. Wed Dec 12 06:43:02 2018  reduce to 116392578 relations and 108480602 ideals in 8 passes
  611. Wed Dec 12 06:43:02 2018  max relations containing the same ideal: 133
  612. Wed Dec 12 06:44:11 2018  removing 7968700 relations and 5968700 ideals in 2000000 cliques
  613. Wed Dec 12 06:44:14 2018  commencing in-memory singleton removal
  614. Wed Dec 12 06:44:25 2018  begin with 108423878 relations and 108480602 unique ideals
  615. Wed Dec 12 06:46:02 2018  reduce to 107982809 relations and 102064325 ideals in 8 passes
  616. Wed Dec 12 06:46:02 2018  max relations containing the same ideal: 125
  617. Wed Dec 12 06:47:07 2018  removing 8010996 relations and 6010996 ideals in 2000000 cliques
  618. Wed Dec 12 06:47:10 2018  commencing in-memory singleton removal
  619. Wed Dec 12 06:47:20 2018  begin with 99971813 relations and 102064325 unique ideals
  620. Wed Dec 12 06:48:38 2018  reduce to 99493281 relations and 95567116 ideals in 7 passes
  621. Wed Dec 12 06:48:38 2018  max relations containing the same ideal: 116
  622. Wed Dec 12 06:49:38 2018  removing 8070919 relations and 6070919 ideals in 2000000 cliques
  623. Wed Dec 12 06:49:40 2018  commencing in-memory singleton removal
  624. Wed Dec 12 06:49:50 2018  begin with 91422362 relations and 95567116 unique ideals
  625. Wed Dec 12 06:51:11 2018  reduce to 90895514 relations and 88960095 ideals in 8 passes
  626. Wed Dec 12 06:51:11 2018  max relations containing the same ideal: 111
  627. Wed Dec 12 06:52:05 2018  removing 2623089 relations and 2129936 ideals in 493153 cliques
  628. Wed Dec 12 06:52:07 2018  commencing in-memory singleton removal
  629. Wed Dec 12 06:52:16 2018  begin with 88272425 relations and 88960095 unique ideals
  630. Wed Dec 12 06:53:15 2018  reduce to 88219128 relations and 86776594 ideals in 6 passes
  631. Wed Dec 12 06:53:15 2018  max relations containing the same ideal: 110
  632. Wed Dec 12 06:54:18 2018  relations with 0 large ideals: 46338
  633. Wed Dec 12 06:54:18 2018  relations with 1 large ideals: 11919
  634. Wed Dec 12 06:54:18 2018  relations with 2 large ideals: 180008
  635. Wed Dec 12 06:54:18 2018  relations with 3 large ideals: 1344282
  636. Wed Dec 12 06:54:18 2018  relations with 4 large ideals: 5545743
  637. Wed Dec 12 06:54:18 2018  relations with 5 large ideals: 13860655
  638. Wed Dec 12 06:54:18 2018  relations with 6 large ideals: 21942501
  639. Wed Dec 12 06:54:18 2018  relations with 7+ large ideals: 45287682
  640. Wed Dec 12 06:54:18 2018  commencing 2-way merge
  641. Wed Dec 12 06:55:26 2018  reduce to 57100680 relation sets and 55658146 unique ideals
  642. Wed Dec 12 06:55:26 2018  commencing full merge
  643. Wed Dec 12 07:17:37 2018  memory use: 7254.8 MB
  644. Wed Dec 12 07:17:42 2018  found 25859482 cycles, need 25780346
  645. Wed Dec 12 07:17:49 2018  weight of 25780346 cycles is about 3042651616 (118.02/cycle)
  646. Wed Dec 12 07:17:49 2018  distribution of cycle lengths:
  647. Wed Dec 12 07:17:49 2018  1 relations: 1612021
  648. Wed Dec 12 07:17:49 2018  2 relations: 1855064
  649. Wed Dec 12 07:17:49 2018  3 relations: 1981916
  650. Wed Dec 12 07:17:49 2018  4 relations: 1958861
  651. Wed Dec 12 07:17:49 2018  5 relations: 1923257
  652. Wed Dec 12 07:17:49 2018  6 relations: 1862463
  653. Wed Dec 12 07:17:49 2018  7 relations: 1769840
  654. Wed Dec 12 07:17:49 2018  8 relations: 1677277
  655. Wed Dec 12 07:17:49 2018  9 relations: 1564744
  656. Wed Dec 12 07:17:49 2018  10+ relations: 9574903
  657. Wed Dec 12 07:17:49 2018  heaviest cycle: 28 relations
  658. Wed Dec 12 07:17:56 2018  commencing cycle optimization
  659. Wed Dec 12 07:18:48 2018  start with 216847078 relations
  660. Wed Dec 12 07:26:33 2018  pruned 8991333 relations
  661. Wed Dec 12 07:26:33 2018  memory use: 5882.8 MB
  662. Wed Dec 12 07:26:33 2018  distribution of cycle lengths:
  663. Wed Dec 12 07:26:33 2018  1 relations: 1612021
  664. Wed Dec 12 07:26:33 2018  2 relations: 1900639
  665. Wed Dec 12 07:26:33 2018  3 relations: 2063887
  666. Wed Dec 12 07:26:33 2018  4 relations: 2035551
  667. Wed Dec 12 07:26:33 2018  5 relations: 2010442
  668. Wed Dec 12 07:26:33 2018  6 relations: 1937472
  669. Wed Dec 12 07:26:33 2018  7 relations: 1847917
  670. Wed Dec 12 07:26:33 2018  8 relations: 1739738
  671. Wed Dec 12 07:26:33 2018  9 relations: 1619108
  672. Wed Dec 12 07:26:33 2018  10+ relations: 9013571
  673. Wed Dec 12 07:26:33 2018  heaviest cycle: 28 relations
  674. Wed Dec 12 07:27:24 2018  RelProcTime: 13010
  675. Wed Dec 12 07:27:34 2018  elapsed time 03:37:01
  676. Wed Dec 12 07:27:35 2018  
  677. Wed Dec 12 07:27:35 2018  
  678. Wed Dec 12 07:27:35 2018  Msieve v. 1.53 (SVN 993)
  679. Wed Dec 12 07:27:35 2018  random seeds: ea82497f 59472fee
  680. Wed Dec 12 07:27:35 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  681. Wed Dec 12 07:27:36 2018  no P-1/P+1/ECM available, skipping
  682. Wed Dec 12 07:27:36 2018  commencing number field sieve (267-digit input)
  683. Wed Dec 12 07:27:36 2018  R0: 267998461123333843822313649147610645572765121
  684. Wed Dec 12 07:27:36 2018  R1: -1
  685. Wed Dec 12 07:27:36 2018  A0: -1
  686. Wed Dec 12 07:27:36 2018  A1: 0
  687. Wed Dec 12 07:27:36 2018  A2: 0
  688. Wed Dec 12 07:27:36 2018  A3: 0
  689. Wed Dec 12 07:27:36 2018  A4: 0
  690. Wed Dec 12 07:27:36 2018  A5: 0
  691. Wed Dec 12 07:27:36 2018  A6: 5039
  692. Wed Dec 12 07:27:36 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  693. Wed Dec 12 07:27:36 2018  
  694. Wed Dec 12 07:27:36 2018  commencing relation filtering
  695. Wed Dec 12 07:27:36 2018  setting target matrix density to 126.0
  696. Wed Dec 12 07:27:36 2018  estimated available RAM is 64123.6 MB
  697. Wed Dec 12 07:27:36 2018  commencing duplicate removal, pass 1
  698.   1547 errors
  699. Wed Dec 12 08:10:42 2018  skipped 1260 relations with composite factors
  700. Wed Dec 12 08:10:42 2018  found 28019610 hash collisions in 366703302 relations
  701. Wed Dec 12 08:10:51 2018  commencing duplicate removal, pass 2
  702. Wed Dec 12 08:12:43 2018  found 4 duplicates and 366703298 unique relations
  703. Wed Dec 12 08:12:43 2018  memory use: 1321.5 MB
  704. Wed Dec 12 08:12:43 2018  reading ideals above 309919744
  705. Wed Dec 12 08:12:43 2018  commencing singleton removal, initial pass
  706. Wed Dec 12 08:43:17 2018  memory use: 6024.0 MB
  707. Wed Dec 12 08:43:18 2018  reading all ideals from disk
  708. Wed Dec 12 08:43:20 2018  memory use: 6550.2 MB
  709. Wed Dec 12 08:43:36 2018  commencing in-memory singleton removal
  710. Wed Dec 12 08:43:51 2018  begin with 366703298 relations and 313315481 unique ideals
  711. Wed Dec 12 08:47:18 2018  reduce to 238673864 relations and 172543587 ideals in 16 passes
  712. Wed Dec 12 08:47:18 2018  max relations containing the same ideal: 34
  713. Wed Dec 12 08:47:30 2018  reading ideals above 720000
  714. Wed Dec 12 08:47:30 2018  commencing singleton removal, initial pass
  715. Wed Dec 12 09:15:47 2018  memory use: 5512.0 MB
  716. Wed Dec 12 09:15:47 2018  reading all ideals from disk
  717. Wed Dec 12 09:15:51 2018  memory use: 10171.5 MB
  718. Wed Dec 12 09:16:23 2018  keeping 204819190 ideals with weight <= 200, target excess is 1243332
  719. Wed Dec 12 09:16:56 2018  commencing in-memory singleton removal
  720. Wed Dec 12 09:17:21 2018  begin with 238673864 relations and 204819190 unique ideals
  721. Wed Dec 12 09:20:42 2018  reduce to 238668196 relations and 204813522 ideals in 8 passes
  722. Wed Dec 12 09:20:42 2018  max relations containing the same ideal: 200
  723. Wed Dec 12 09:22:50 2018  removing 14245480 relations and 12245480 ideals in 2000000 cliques
  724. Wed Dec 12 09:22:54 2018  commencing in-memory singleton removal
  725. Wed Dec 12 09:23:18 2018  begin with 224422716 relations and 204813522 unique ideals
  726. Wed Dec 12 09:26:51 2018  reduce to 223714882 relations and 191851803 ideals in 9 passes
  727. Wed Dec 12 09:26:51 2018  max relations containing the same ideal: 198
  728. Wed Dec 12 09:28:51 2018  removing 10742584 relations and 8742584 ideals in 2000000 cliques
  729. Wed Dec 12 09:28:56 2018  commencing in-memory singleton removal
  730. Wed Dec 12 09:29:18 2018  begin with 212972298 relations and 191851803 unique ideals
  731. Wed Dec 12 09:32:17 2018  reduce to 212528748 relations and 182661250 ideals in 8 passes
  732. Wed Dec 12 09:32:17 2018  max relations containing the same ideal: 195
  733. Wed Dec 12 09:34:12 2018  removing 9658099 relations and 7658099 ideals in 2000000 cliques
  734. Wed Dec 12 09:34:16 2018  commencing in-memory singleton removal
  735. Wed Dec 12 09:34:37 2018  begin with 202870649 relations and 182661250 unique ideals
  736. Wed Dec 12 09:37:06 2018  reduce to 202489374 relations and 174618274 ideals in 7 passes
  737. Wed Dec 12 09:37:06 2018  max relations containing the same ideal: 189
  738. Wed Dec 12 09:38:56 2018  removing 9073861 relations and 7073861 ideals in 2000000 cliques
  739. Wed Dec 12 09:39:00 2018  commencing in-memory singleton removal
  740. Wed Dec 12 09:39:20 2018  begin with 193415513 relations and 174618274 unique ideals
  741. Wed Dec 12 09:41:41 2018  reduce to 193063343 relations and 167188871 ideals in 7 passes
  742. Wed Dec 12 09:41:41 2018  max relations containing the same ideal: 185
  743. Wed Dec 12 09:43:27 2018  removing 8705723 relations and 6705723 ideals in 2000000 cliques
  744. Wed Dec 12 09:43:30 2018  commencing in-memory singleton removal
  745. Wed Dec 12 09:43:49 2018  begin with 184357620 relations and 167188871 unique ideals
  746. Wed Dec 12 09:46:23 2018  reduce to 184018920 relations and 160141129 ideals in 8 passes
  747. Wed Dec 12 09:46:23 2018  max relations containing the same ideal: 179
  748. Wed Dec 12 09:48:03 2018  removing 8451352 relations and 6451352 ideals in 2000000 cliques
  749. Wed Dec 12 09:48:07 2018  commencing in-memory singleton removal
  750. Wed Dec 12 09:48:25 2018  begin with 175567568 relations and 160141129 unique ideals
  751. Wed Dec 12 09:50:32 2018  reduce to 175235839 relations and 153354649 ideals in 7 passes
  752. Wed Dec 12 09:50:32 2018  max relations containing the same ideal: 175
  753. Wed Dec 12 09:52:09 2018  removing 8271325 relations and 6271325 ideals in 2000000 cliques
  754. Wed Dec 12 09:52:12 2018  commencing in-memory singleton removal
  755. Wed Dec 12 09:52:29 2018  begin with 166964514 relations and 153354649 unique ideals
  756. Wed Dec 12 09:54:47 2018  reduce to 166633364 relations and 146748690 ideals in 8 passes
  757. Wed Dec 12 09:54:47 2018  max relations containing the same ideal: 169
  758. Wed Dec 12 09:56:19 2018  removing 8143657 relations and 6143657 ideals in 2000000 cliques
  759. Wed Dec 12 09:56:22 2018  commencing in-memory singleton removal
  760. Wed Dec 12 09:56:39 2018  begin with 158489707 relations and 146748690 unique ideals
  761. Wed Dec 12 09:58:18 2018  reduce to 158154376 relations and 140266073 ideals in 6 passes
  762. Wed Dec 12 09:58:18 2018  max relations containing the same ideal: 161
  763. Wed Dec 12 09:59:46 2018  removing 8052262 relations and 6052262 ideals in 2000000 cliques
  764. Wed Dec 12 09:59:49 2018  commencing in-memory singleton removal
  765. Wed Dec 12 10:00:04 2018  begin with 150102114 relations and 140266073 unique ideals
  766. Wed Dec 12 10:02:07 2018  reduce to 149759721 relations and 133867543 ideals in 8 passes
  767. Wed Dec 12 10:02:07 2018  max relations containing the same ideal: 157
  768. Wed Dec 12 10:03:31 2018  removing 7992683 relations and 5992683 ideals in 2000000 cliques
  769. Wed Dec 12 10:03:34 2018  commencing in-memory singleton removal
  770. Wed Dec 12 10:03:48 2018  begin with 141767038 relations and 133867543 unique ideals
  771. Wed Dec 12 10:05:30 2018  reduce to 141415110 relations and 127518754 ideals in 7 passes
  772. Wed Dec 12 10:05:30 2018  max relations containing the same ideal: 151
  773. Wed Dec 12 10:06:49 2018  removing 7959344 relations and 5959344 ideals in 2000000 cliques
  774. Wed Dec 12 10:06:52 2018  commencing in-memory singleton removal
  775. Wed Dec 12 10:07:05 2018  begin with 133455766 relations and 127518754 unique ideals
  776. Wed Dec 12 10:08:53 2018  reduce to 133088475 relations and 121187477 ideals in 8 passes
  777. Wed Dec 12 10:08:53 2018  max relations containing the same ideal: 144
  778. Wed Dec 12 10:10:09 2018  removing 7947956 relations and 5947956 ideals in 2000000 cliques
  779. Wed Dec 12 10:10:11 2018  commencing in-memory singleton removal
  780. Wed Dec 12 10:10:24 2018  begin with 125140519 relations and 121187477 unique ideals
  781. Wed Dec 12 10:11:53 2018  reduce to 124752493 relations and 114846395 ideals in 7 passes
  782. Wed Dec 12 10:11:53 2018  max relations containing the same ideal: 139
  783. Wed Dec 12 10:13:03 2018  removing 7948012 relations and 5948012 ideals in 2000000 cliques
  784. Wed Dec 12 10:13:06 2018  commencing in-memory singleton removal
  785. Wed Dec 12 10:13:18 2018  begin with 116804481 relations and 114846395 unique ideals
  786. Wed Dec 12 10:14:52 2018  reduce to 116392578 relations and 108480602 ideals in 8 passes
  787. Wed Dec 12 10:14:52 2018  max relations containing the same ideal: 133
  788. Wed Dec 12 10:15:58 2018  removing 7968700 relations and 5968700 ideals in 2000000 cliques
  789. Wed Dec 12 10:16:01 2018  commencing in-memory singleton removal
  790. Wed Dec 12 10:16:12 2018  begin with 108423878 relations and 108480602 unique ideals
  791. Wed Dec 12 10:17:38 2018  reduce to 107982809 relations and 102064325 ideals in 8 passes
  792. Wed Dec 12 10:17:38 2018  max relations containing the same ideal: 125
  793. Wed Dec 12 10:18:40 2018  removing 8010996 relations and 6010996 ideals in 2000000 cliques
  794. Wed Dec 12 10:18:42 2018  commencing in-memory singleton removal
  795. Wed Dec 12 10:18:52 2018  begin with 99971813 relations and 102064325 unique ideals
  796. Wed Dec 12 10:20:02 2018  reduce to 99493281 relations and 95567116 ideals in 7 passes
  797. Wed Dec 12 10:20:02 2018  max relations containing the same ideal: 116
  798. Wed Dec 12 10:20:59 2018  removing 8070919 relations and 6070919 ideals in 2000000 cliques
  799. Wed Dec 12 10:21:01 2018  commencing in-memory singleton removal
  800. Wed Dec 12 10:21:10 2018  begin with 91422362 relations and 95567116 unique ideals
  801. Wed Dec 12 10:22:22 2018  reduce to 90895514 relations and 88960095 ideals in 8 passes
  802. Wed Dec 12 10:22:22 2018  max relations containing the same ideal: 111
  803. Wed Dec 12 10:23:15 2018  removing 2623089 relations and 2129936 ideals in 493153 cliques
  804. Wed Dec 12 10:23:16 2018  commencing in-memory singleton removal
  805. Wed Dec 12 10:23:25 2018  begin with 88272425 relations and 88960095 unique ideals
  806. Wed Dec 12 10:24:17 2018  reduce to 88219128 relations and 86776594 ideals in 6 passes
  807. Wed Dec 12 10:24:17 2018  max relations containing the same ideal: 110
  808. Wed Dec 12 10:25:18 2018  relations with 0 large ideals: 46338
  809. Wed Dec 12 10:25:18 2018  relations with 1 large ideals: 11919
  810. Wed Dec 12 10:25:18 2018  relations with 2 large ideals: 180008
  811. Wed Dec 12 10:25:18 2018  relations with 3 large ideals: 1344282
  812. Wed Dec 12 10:25:18 2018  relations with 4 large ideals: 5545743
  813. Wed Dec 12 10:25:18 2018  relations with 5 large ideals: 13860655
  814. Wed Dec 12 10:25:18 2018  relations with 6 large ideals: 21942501
  815. Wed Dec 12 10:25:18 2018  relations with 7+ large ideals: 45287682
  816. Wed Dec 12 10:25:18 2018  commencing 2-way merge
  817. Wed Dec 12 10:26:23 2018  reduce to 57100680 relation sets and 55658146 unique ideals
  818. Wed Dec 12 10:26:23 2018  commencing full merge
  819. Wed Dec 12 11:11:46 2018  memory use: 2573.5 MB
  820. Wed Dec 12 11:11:46 2018  found 190707 cycles, need 12065032
  821. Wed Dec 12 11:11:46 2018  too few cycles, matrix probably cannot build
  822. Wed Dec 12 11:11:47 2018  
  823. Wed Dec 12 11:11:47 2018  
  824. Wed Dec 12 11:11:47 2018  Msieve v. 1.53 (SVN 993)
  825. Wed Dec 12 11:11:47 2018  random seeds: 0391c530 7a134953
  826. Wed Dec 12 11:11:47 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  827. Wed Dec 12 11:11:48 2018  no P-1/P+1/ECM available, skipping
  828. Wed Dec 12 11:11:48 2018  commencing number field sieve (267-digit input)
  829. Wed Dec 12 11:11:48 2018  R0: 267998461123333843822313649147610645572765121
  830. Wed Dec 12 11:11:48 2018  R1: -1
  831. Wed Dec 12 11:11:48 2018  A0: -1
  832. Wed Dec 12 11:11:48 2018  A1: 0
  833. Wed Dec 12 11:11:48 2018  A2: 0
  834. Wed Dec 12 11:11:48 2018  A3: 0
  835. Wed Dec 12 11:11:48 2018  A4: 0
  836. Wed Dec 12 11:11:48 2018  A5: 0
  837. Wed Dec 12 11:11:48 2018  A6: 5039
  838. Wed Dec 12 11:11:48 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  839. Wed Dec 12 11:11:48 2018  
  840. Wed Dec 12 11:11:48 2018  commencing relation filtering
  841. Wed Dec 12 11:11:48 2018  setting target matrix density to 122.0
  842. Wed Dec 12 11:11:48 2018  estimated available RAM is 64123.6 MB
  843. Wed Dec 12 11:11:48 2018  commencing duplicate removal, pass 1
  844.   1547 errors
  845. Wed Dec 12 11:54:46 2018  skipped 1260 relations with composite factors
  846. Wed Dec 12 11:54:46 2018  found 28019610 hash collisions in 366703302 relations
  847. Wed Dec 12 11:54:56 2018  commencing duplicate removal, pass 2
  848. Wed Dec 12 11:56:48 2018  found 4 duplicates and 366703298 unique relations
  849. Wed Dec 12 11:56:48 2018  memory use: 1321.5 MB
  850. Wed Dec 12 11:56:48 2018  reading ideals above 309919744
  851. Wed Dec 12 11:56:48 2018  commencing singleton removal, initial pass
  852. Wed Dec 12 12:27:18 2018  memory use: 6024.0 MB
  853. Wed Dec 12 12:27:19 2018  reading all ideals from disk
  854. Wed Dec 12 12:27:21 2018  memory use: 6550.2 MB
  855. Wed Dec 12 12:27:38 2018  commencing in-memory singleton removal
  856. Wed Dec 12 12:27:54 2018  begin with 366703298 relations and 313315481 unique ideals
  857. Wed Dec 12 12:31:33 2018  reduce to 238673864 relations and 172543587 ideals in 16 passes
  858. Wed Dec 12 12:31:33 2018  max relations containing the same ideal: 34
  859. Wed Dec 12 12:31:45 2018  reading ideals above 720000
  860. Wed Dec 12 12:31:46 2018  commencing singleton removal, initial pass
  861. Wed Dec 12 12:59:54 2018  memory use: 5512.0 MB
  862. Wed Dec 12 12:59:55 2018  reading all ideals from disk
  863. Wed Dec 12 12:59:58 2018  memory use: 10171.5 MB
  864. Wed Dec 12 13:00:30 2018  keeping 204819190 ideals with weight <= 200, target excess is 1243332
  865. Wed Dec 12 13:01:03 2018  commencing in-memory singleton removal
  866. Wed Dec 12 13:01:28 2018  begin with 238673864 relations and 204819190 unique ideals
  867. Wed Dec 12 13:04:44 2018  reduce to 238668196 relations and 204813522 ideals in 8 passes
  868. Wed Dec 12 13:04:44 2018  max relations containing the same ideal: 200
  869. Wed Dec 12 13:06:50 2018  removing 14245480 relations and 12245480 ideals in 2000000 cliques
  870. Wed Dec 12 13:06:55 2018  commencing in-memory singleton removal
  871. Wed Dec 12 13:07:19 2018  begin with 224422716 relations and 204813522 unique ideals
  872. Wed Dec 12 13:10:47 2018  reduce to 223714882 relations and 191851803 ideals in 9 passes
  873. Wed Dec 12 13:10:47 2018  max relations containing the same ideal: 198
  874. Wed Dec 12 13:12:46 2018  removing 10742584 relations and 8742584 ideals in 2000000 cliques
  875. Wed Dec 12 13:12:51 2018  commencing in-memory singleton removal
  876. Wed Dec 12 13:13:13 2018  begin with 212972298 relations and 191851803 unique ideals
  877. Wed Dec 12 13:16:08 2018  reduce to 212528748 relations and 182661250 ideals in 8 passes
  878. Wed Dec 12 13:16:08 2018  max relations containing the same ideal: 195
  879. Wed Dec 12 13:18:02 2018  removing 9658099 relations and 7658099 ideals in 2000000 cliques
  880. Wed Dec 12 13:18:06 2018  commencing in-memory singleton removal
  881. Wed Dec 12 13:18:27 2018  begin with 202870649 relations and 182661250 unique ideals
  882. Wed Dec 12 13:20:52 2018  reduce to 202489374 relations and 174618274 ideals in 7 passes
  883. Wed Dec 12 13:20:52 2018  max relations containing the same ideal: 189
  884. Wed Dec 12 13:22:41 2018  removing 9073861 relations and 7073861 ideals in 2000000 cliques
  885. Wed Dec 12 13:22:45 2018  commencing in-memory singleton removal
  886. Wed Dec 12 13:23:05 2018  begin with 193415513 relations and 174618274 unique ideals
  887. Wed Dec 12 13:25:23 2018  reduce to 193063343 relations and 167188871 ideals in 7 passes
  888. Wed Dec 12 13:25:23 2018  max relations containing the same ideal: 185
  889. Wed Dec 12 13:27:07 2018  removing 8705723 relations and 6705723 ideals in 2000000 cliques
  890. Wed Dec 12 13:27:11 2018  commencing in-memory singleton removal
  891. Wed Dec 12 13:27:30 2018  begin with 184357620 relations and 167188871 unique ideals
  892. Wed Dec 12 13:29:59 2018  reduce to 184018920 relations and 160141129 ideals in 8 passes
  893. Wed Dec 12 13:29:59 2018  max relations containing the same ideal: 179
  894. Wed Dec 12 13:31:39 2018  removing 8451352 relations and 6451352 ideals in 2000000 cliques
  895. Wed Dec 12 13:31:43 2018  commencing in-memory singleton removal
  896. Wed Dec 12 13:32:01 2018  begin with 175567568 relations and 160141129 unique ideals
  897. Wed Dec 12 13:34:05 2018  reduce to 175235839 relations and 153354649 ideals in 7 passes
  898. Wed Dec 12 13:34:05 2018  max relations containing the same ideal: 175
  899. Wed Dec 12 13:35:41 2018  removing 8271325 relations and 6271325 ideals in 2000000 cliques
  900. Wed Dec 12 13:35:45 2018  commencing in-memory singleton removal
  901. Wed Dec 12 13:36:02 2018  begin with 166964514 relations and 153354649 unique ideals
  902. Wed Dec 12 13:38:16 2018  reduce to 166633364 relations and 146748690 ideals in 8 passes
  903. Wed Dec 12 13:38:16 2018  max relations containing the same ideal: 169
  904. Wed Dec 12 13:39:47 2018  removing 8143657 relations and 6143657 ideals in 2000000 cliques
  905. Wed Dec 12 13:39:51 2018  commencing in-memory singleton removal
  906. Wed Dec 12 13:40:07 2018  begin with 158489707 relations and 146748690 unique ideals
  907. Wed Dec 12 13:41:43 2018  reduce to 158154376 relations and 140266073 ideals in 6 passes
  908. Wed Dec 12 13:41:43 2018  max relations containing the same ideal: 161
  909. Wed Dec 12 13:43:10 2018  removing 8052262 relations and 6052262 ideals in 2000000 cliques
  910. Wed Dec 12 13:43:13 2018  commencing in-memory singleton removal
  911. Wed Dec 12 13:43:28 2018  begin with 150102114 relations and 140266073 unique ideals
  912. Wed Dec 12 13:45:28 2018  reduce to 149759721 relations and 133867543 ideals in 8 passes
  913. Wed Dec 12 13:45:28 2018  max relations containing the same ideal: 157
  914. Wed Dec 12 13:46:51 2018  removing 7992683 relations and 5992683 ideals in 2000000 cliques
  915. Wed Dec 12 13:46:54 2018  commencing in-memory singleton removal
  916. Wed Dec 12 13:47:09 2018  begin with 141767038 relations and 133867543 unique ideals
  917. Wed Dec 12 13:48:47 2018  reduce to 141415110 relations and 127518754 ideals in 7 passes
  918. Wed Dec 12 13:48:47 2018  max relations containing the same ideal: 151
  919. Wed Dec 12 13:50:07 2018  removing 7959344 relations and 5959344 ideals in 2000000 cliques
  920. Wed Dec 12 13:50:10 2018  commencing in-memory singleton removal
  921. Wed Dec 12 13:50:23 2018  begin with 133455766 relations and 127518754 unique ideals
  922. Wed Dec 12 13:52:09 2018  reduce to 133088475 relations and 121187477 ideals in 8 passes
  923. Wed Dec 12 13:52:09 2018  max relations containing the same ideal: 144
  924. Wed Dec 12 13:53:23 2018  removing 7947956 relations and 5947956 ideals in 2000000 cliques
  925. Wed Dec 12 13:53:26 2018  commencing in-memory singleton removal
  926. Wed Dec 12 13:53:39 2018  begin with 125140519 relations and 121187477 unique ideals
  927. Wed Dec 12 13:55:05 2018  reduce to 124752493 relations and 114846395 ideals in 7 passes
  928. Wed Dec 12 13:55:05 2018  max relations containing the same ideal: 139
  929. Wed Dec 12 13:56:15 2018  removing 7948012 relations and 5948012 ideals in 2000000 cliques
  930. Wed Dec 12 13:56:18 2018  commencing in-memory singleton removal
  931. Wed Dec 12 13:56:29 2018  begin with 116804481 relations and 114846395 unique ideals
  932. Wed Dec 12 13:58:01 2018  reduce to 116392578 relations and 108480602 ideals in 8 passes
  933. Wed Dec 12 13:58:01 2018  max relations containing the same ideal: 133
  934. Wed Dec 12 13:59:07 2018  removing 7968700 relations and 5968700 ideals in 2000000 cliques
  935. Wed Dec 12 13:59:09 2018  commencing in-memory singleton removal
  936. Wed Dec 12 13:59:20 2018  begin with 108423878 relations and 108480602 unique ideals
  937. Wed Dec 12 14:00:44 2018  reduce to 107982809 relations and 102064325 ideals in 8 passes
  938. Wed Dec 12 14:00:44 2018  max relations containing the same ideal: 125
  939. Wed Dec 12 14:01:46 2018  removing 8010996 relations and 6010996 ideals in 2000000 cliques
  940. Wed Dec 12 14:01:48 2018  commencing in-memory singleton removal
  941. Wed Dec 12 14:01:58 2018  begin with 99971813 relations and 102064325 unique ideals
  942. Wed Dec 12 14:03:06 2018  reduce to 99493281 relations and 95567116 ideals in 7 passes
  943. Wed Dec 12 14:03:06 2018  max relations containing the same ideal: 116
  944. Wed Dec 12 14:04:03 2018  removing 8070919 relations and 6070919 ideals in 2000000 cliques
  945. Wed Dec 12 14:04:05 2018  commencing in-memory singleton removal
  946. Wed Dec 12 14:04:14 2018  begin with 91422362 relations and 95567116 unique ideals
  947. Wed Dec 12 14:05:24 2018  reduce to 90895514 relations and 88960095 ideals in 8 passes
  948. Wed Dec 12 14:05:24 2018  max relations containing the same ideal: 111
  949. Wed Dec 12 14:06:16 2018  removing 2623089 relations and 2129936 ideals in 493153 cliques
  950. Wed Dec 12 14:06:18 2018  commencing in-memory singleton removal
  951. Wed Dec 12 14:06:27 2018  begin with 88272425 relations and 88960095 unique ideals
  952. Wed Dec 12 14:07:17 2018  reduce to 88219128 relations and 86776594 ideals in 6 passes
  953. Wed Dec 12 14:07:17 2018  max relations containing the same ideal: 110
  954. Wed Dec 12 14:08:19 2018  relations with 0 large ideals: 46338
  955. Wed Dec 12 14:08:19 2018  relations with 1 large ideals: 11919
  956. Wed Dec 12 14:08:19 2018  relations with 2 large ideals: 180008
  957. Wed Dec 12 14:08:19 2018  relations with 3 large ideals: 1344282
  958. Wed Dec 12 14:08:19 2018  relations with 4 large ideals: 5545743
  959. Wed Dec 12 14:08:19 2018  relations with 5 large ideals: 13860655
  960. Wed Dec 12 14:08:19 2018  relations with 6 large ideals: 21942501
  961. Wed Dec 12 14:08:19 2018  relations with 7+ large ideals: 45287682
  962. Wed Dec 12 14:08:19 2018  commencing 2-way merge
  963. Wed Dec 12 14:09:22 2018  reduce to 57100680 relation sets and 55658146 unique ideals
  964. Wed Dec 12 14:09:22 2018  commencing full merge
  965. Wed Dec 12 14:32:03 2018  memory use: 7282.1 MB
  966. Wed Dec 12 14:32:08 2018  found 25552696 cycles, need 25512346
  967. Wed Dec 12 14:32:16 2018  weight of 25512346 cycles is about 3113277379 (122.03/cycle)
  968. Wed Dec 12 14:32:16 2018  distribution of cycle lengths:
  969. Wed Dec 12 14:32:16 2018  1 relations: 1500558
  970. Wed Dec 12 14:32:16 2018  2 relations: 1764105
  971. Wed Dec 12 14:32:16 2018  3 relations: 1895531
  972. Wed Dec 12 14:32:16 2018  4 relations: 1878966
  973. Wed Dec 12 14:32:16 2018  5 relations: 1856834
  974. Wed Dec 12 14:32:16 2018  6 relations: 1793434
  975. Wed Dec 12 14:32:16 2018  7 relations: 1721911
  976. Wed Dec 12 14:32:16 2018  8 relations: 1631287
  977. Wed Dec 12 14:32:16 2018  9 relations: 1534044
  978. Wed Dec 12 14:32:16 2018  10+ relations: 9935676
  979. Wed Dec 12 14:32:16 2018  heaviest cycle: 28 relations
  980. Wed Dec 12 14:32:23 2018  commencing cycle optimization
  981. Wed Dec 12 14:33:13 2018  start with 221855025 relations
  982. Wed Dec 12 14:41:28 2018  pruned 9505631 relations
  983. Wed Dec 12 14:41:28 2018  memory use: 5933.7 MB
  984. Wed Dec 12 14:41:28 2018  distribution of cycle lengths:
  985. Wed Dec 12 14:41:28 2018  1 relations: 1500558
  986. Wed Dec 12 14:41:28 2018  2 relations: 1807804
  987. Wed Dec 12 14:41:28 2018  3 relations: 1974621
  988. Wed Dec 12 14:41:28 2018  4 relations: 1953885
  989. Wed Dec 12 14:41:28 2018  5 relations: 1942373
  990. Wed Dec 12 14:41:28 2018  6 relations: 1868656
  991. Wed Dec 12 14:41:28 2018  7 relations: 1800094
  992. Wed Dec 12 14:41:28 2018  8 relations: 1696477
  993. Wed Dec 12 14:41:28 2018  9 relations: 1591060
  994. Wed Dec 12 14:41:28 2018  10+ relations: 9376818
  995. Wed Dec 12 14:41:28 2018  heaviest cycle: 28 relations
  996. Wed Dec 12 14:42:18 2018  RelProcTime: 12630
  997. Wed Dec 12 14:42:28 2018  elapsed time 03:30:41
  998. Wed Dec 12 14:42:29 2018  
  999. Wed Dec 12 14:42:29 2018  
  1000. Wed Dec 12 14:42:29 2018  Msieve v. 1.53 (SVN 993)
  1001. Wed Dec 12 14:42:29 2018  random seeds: 88f2757c 1b193acc
  1002. Wed Dec 12 14:42:29 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  1003. Wed Dec 12 14:42:30 2018  no P-1/P+1/ECM available, skipping
  1004. Wed Dec 12 14:42:30 2018  commencing number field sieve (267-digit input)
  1005. Wed Dec 12 14:42:30 2018  R0: 267998461123333843822313649147610645572765121
  1006. Wed Dec 12 14:42:30 2018  R1: -1
  1007. Wed Dec 12 14:42:30 2018  A0: -1
  1008. Wed Dec 12 14:42:30 2018  A1: 0
  1009. Wed Dec 12 14:42:30 2018  A2: 0
  1010. Wed Dec 12 14:42:30 2018  A3: 0
  1011. Wed Dec 12 14:42:30 2018  A4: 0
  1012. Wed Dec 12 14:42:30 2018  A5: 0
  1013. Wed Dec 12 14:42:30 2018  A6: 5039
  1014. Wed Dec 12 14:42:30 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  1015. Wed Dec 12 14:42:30 2018  
  1016. Wed Dec 12 14:42:30 2018  commencing relation filtering
  1017. Wed Dec 12 14:42:30 2018  setting target matrix density to 124.0
  1018. Wed Dec 12 14:42:30 2018  estimated available RAM is 64123.6 MB
  1019. Wed Dec 12 14:42:30 2018  commencing duplicate removal, pass 1
  1020.   1547 errors
  1021. Wed Dec 12 15:25:40 2018  skipped 1260 relations with composite factors
  1022. Wed Dec 12 15:25:40 2018  found 28019610 hash collisions in 366703302 relations
  1023. Wed Dec 12 15:25:49 2018  commencing duplicate removal, pass 2
  1024. Wed Dec 12 15:27:41 2018  found 4 duplicates and 366703298 unique relations
  1025. Wed Dec 12 15:27:41 2018  memory use: 1321.5 MB
  1026. Wed Dec 12 15:27:41 2018  reading ideals above 309919744
  1027. Wed Dec 12 15:27:41 2018  commencing singleton removal, initial pass
  1028. Wed Dec 12 15:58:10 2018  memory use: 6024.0 MB
  1029. Wed Dec 12 15:58:10 2018  reading all ideals from disk
  1030. Wed Dec 12 15:58:13 2018  memory use: 6550.2 MB
  1031. Wed Dec 12 15:58:28 2018  commencing in-memory singleton removal
  1032. Wed Dec 12 15:58:43 2018  begin with 366703298 relations and 313315481 unique ideals
  1033. Wed Dec 12 16:01:57 2018  reduce to 238673864 relations and 172543587 ideals in 16 passes
  1034. Wed Dec 12 16:01:57 2018  max relations containing the same ideal: 34
  1035. Wed Dec 12 16:02:08 2018  reading ideals above 720000
  1036. Wed Dec 12 16:02:09 2018  commencing singleton removal, initial pass
  1037. Wed Dec 12 16:30:21 2018  memory use: 5512.0 MB
  1038. Wed Dec 12 16:30:22 2018  reading all ideals from disk
  1039. Wed Dec 12 16:30:26 2018  memory use: 10171.5 MB
  1040. Wed Dec 12 16:30:58 2018  keeping 204819190 ideals with weight <= 200, target excess is 1243332
  1041. Wed Dec 12 16:31:30 2018  commencing in-memory singleton removal
  1042. Wed Dec 12 16:31:56 2018  begin with 238673864 relations and 204819190 unique ideals
  1043. Wed Dec 12 16:35:13 2018  reduce to 238668196 relations and 204813522 ideals in 8 passes
  1044. Wed Dec 12 16:35:13 2018  max relations containing the same ideal: 200
  1045. Wed Dec 12 16:37:20 2018  removing 14245480 relations and 12245480 ideals in 2000000 cliques
  1046. Wed Dec 12 16:37:25 2018  commencing in-memory singleton removal
  1047. Wed Dec 12 16:37:49 2018  begin with 224422716 relations and 204813522 unique ideals
  1048. Wed Dec 12 16:41:19 2018  reduce to 223714882 relations and 191851803 ideals in 9 passes
  1049. Wed Dec 12 16:41:19 2018  max relations containing the same ideal: 198
  1050. Wed Dec 12 16:43:19 2018  removing 10742584 relations and 8742584 ideals in 2000000 cliques
  1051. Wed Dec 12 16:43:23 2018  commencing in-memory singleton removal
  1052. Wed Dec 12 16:43:46 2018  begin with 212972298 relations and 191851803 unique ideals
  1053. Wed Dec 12 16:46:42 2018  reduce to 212528748 relations and 182661250 ideals in 8 passes
  1054. Wed Dec 12 16:46:42 2018  max relations containing the same ideal: 195
  1055. Wed Dec 12 16:48:38 2018  removing 9658099 relations and 7658099 ideals in 2000000 cliques
  1056. Wed Dec 12 16:48:42 2018  commencing in-memory singleton removal
  1057. Wed Dec 12 16:49:03 2018  begin with 202870649 relations and 182661250 unique ideals
  1058. Wed Dec 12 16:51:30 2018  reduce to 202489374 relations and 174618274 ideals in 7 passes
  1059. Wed Dec 12 16:51:30 2018  max relations containing the same ideal: 189
  1060. Wed Dec 12 16:53:20 2018  removing 9073861 relations and 7073861 ideals in 2000000 cliques
  1061. Wed Dec 12 16:53:24 2018  commencing in-memory singleton removal
  1062. Wed Dec 12 16:53:44 2018  begin with 193415513 relations and 174618274 unique ideals
  1063. Wed Dec 12 16:56:04 2018  reduce to 193063343 relations and 167188871 ideals in 7 passes
  1064. Wed Dec 12 16:56:04 2018  max relations containing the same ideal: 185
  1065. Wed Dec 12 16:57:49 2018  removing 8705723 relations and 6705723 ideals in 2000000 cliques
  1066. Wed Dec 12 16:57:53 2018  commencing in-memory singleton removal
  1067. Wed Dec 12 16:58:12 2018  begin with 184357620 relations and 167188871 unique ideals
  1068. Wed Dec 12 17:00:43 2018  reduce to 184018920 relations and 160141129 ideals in 8 passes
  1069. Wed Dec 12 17:00:43 2018  max relations containing the same ideal: 179
  1070. Wed Dec 12 17:02:24 2018  removing 8451352 relations and 6451352 ideals in 2000000 cliques
  1071. Wed Dec 12 17:02:28 2018  commencing in-memory singleton removal
  1072. Wed Dec 12 17:02:46 2018  begin with 175567568 relations and 160141129 unique ideals
  1073. Wed Dec 12 17:04:52 2018  reduce to 175235839 relations and 153354649 ideals in 7 passes
  1074. Wed Dec 12 17:04:52 2018  max relations containing the same ideal: 175
  1075. Wed Dec 12 17:06:28 2018  removing 8271325 relations and 6271325 ideals in 2000000 cliques
  1076. Wed Dec 12 17:06:32 2018  commencing in-memory singleton removal
  1077. Wed Dec 12 17:06:49 2018  begin with 166964514 relations and 153354649 unique ideals
  1078. Wed Dec 12 17:09:05 2018  reduce to 166633364 relations and 146748690 ideals in 8 passes
  1079. Wed Dec 12 17:09:05 2018  max relations containing the same ideal: 169
  1080. Wed Dec 12 17:10:37 2018  removing 8143657 relations and 6143657 ideals in 2000000 cliques
  1081. Wed Dec 12 17:10:40 2018  commencing in-memory singleton removal
  1082. Wed Dec 12 17:10:56 2018  begin with 158489707 relations and 146748690 unique ideals
  1083. Wed Dec 12 17:12:33 2018  reduce to 158154376 relations and 140266073 ideals in 6 passes
  1084. Wed Dec 12 17:12:33 2018  max relations containing the same ideal: 161
  1085. Wed Dec 12 17:14:01 2018  removing 8052262 relations and 6052262 ideals in 2000000 cliques
  1086. Wed Dec 12 17:14:04 2018  commencing in-memory singleton removal
  1087. Wed Dec 12 17:14:19 2018  begin with 150102114 relations and 140266073 unique ideals
  1088. Wed Dec 12 17:16:20 2018  reduce to 149759721 relations and 133867543 ideals in 8 passes
  1089. Wed Dec 12 17:16:20 2018  max relations containing the same ideal: 157
  1090. Wed Dec 12 17:17:44 2018  removing 7992683 relations and 5992683 ideals in 2000000 cliques
  1091. Wed Dec 12 17:17:47 2018  commencing in-memory singleton removal
  1092. Wed Dec 12 17:18:02 2018  begin with 141767038 relations and 133867543 unique ideals
  1093. Wed Dec 12 17:19:41 2018  reduce to 141415110 relations and 127518754 ideals in 7 passes
  1094. Wed Dec 12 17:19:41 2018  max relations containing the same ideal: 151
  1095. Wed Dec 12 17:21:01 2018  removing 7959344 relations and 5959344 ideals in 2000000 cliques
  1096. Wed Dec 12 17:21:04 2018  commencing in-memory singleton removal
  1097. Wed Dec 12 17:21:17 2018  begin with 133455766 relations and 127518754 unique ideals
  1098. Wed Dec 12 17:23:04 2018  reduce to 133088475 relations and 121187477 ideals in 8 passes
  1099. Wed Dec 12 17:23:04 2018  max relations containing the same ideal: 144
  1100. Wed Dec 12 17:24:19 2018  removing 7947956 relations and 5947956 ideals in 2000000 cliques
  1101. Wed Dec 12 17:24:22 2018  commencing in-memory singleton removal
  1102. Wed Dec 12 17:24:34 2018  begin with 125140519 relations and 121187477 unique ideals
  1103. Wed Dec 12 17:26:01 2018  reduce to 124752493 relations and 114846395 ideals in 7 passes
  1104. Wed Dec 12 17:26:01 2018  max relations containing the same ideal: 139
  1105. Wed Dec 12 17:27:12 2018  removing 7948012 relations and 5948012 ideals in 2000000 cliques
  1106. Wed Dec 12 17:27:15 2018  commencing in-memory singleton removal
  1107. Wed Dec 12 17:27:27 2018  begin with 116804481 relations and 114846395 unique ideals
  1108. Wed Dec 12 17:28:59 2018  reduce to 116392578 relations and 108480602 ideals in 8 passes
  1109. Wed Dec 12 17:28:59 2018  max relations containing the same ideal: 133
  1110. Wed Dec 12 17:30:05 2018  removing 7968700 relations and 5968700 ideals in 2000000 cliques
  1111. Wed Dec 12 17:30:08 2018  commencing in-memory singleton removal
  1112. Wed Dec 12 17:30:19 2018  begin with 108423878 relations and 108480602 unique ideals
  1113. Wed Dec 12 17:31:44 2018  reduce to 107982809 relations and 102064325 ideals in 8 passes
  1114. Wed Dec 12 17:31:44 2018  max relations containing the same ideal: 125
  1115. Wed Dec 12 17:32:45 2018  removing 8010996 relations and 6010996 ideals in 2000000 cliques
  1116. Wed Dec 12 17:32:48 2018  commencing in-memory singleton removal
  1117. Wed Dec 12 17:32:58 2018  begin with 99971813 relations and 102064325 unique ideals
  1118. Wed Dec 12 17:34:06 2018  reduce to 99493281 relations and 95567116 ideals in 7 passes
  1119. Wed Dec 12 17:34:06 2018  max relations containing the same ideal: 116
  1120. Wed Dec 12 17:35:03 2018  removing 8070919 relations and 6070919 ideals in 2000000 cliques
  1121. Wed Dec 12 17:35:06 2018  commencing in-memory singleton removal
  1122. Wed Dec 12 17:35:15 2018  begin with 91422362 relations and 95567116 unique ideals
  1123. Wed Dec 12 17:36:26 2018  reduce to 90895514 relations and 88960095 ideals in 8 passes
  1124. Wed Dec 12 17:36:26 2018  max relations containing the same ideal: 111
  1125. Wed Dec 12 17:37:18 2018  removing 2623089 relations and 2129936 ideals in 493153 cliques
  1126. Wed Dec 12 17:37:20 2018  commencing in-memory singleton removal
  1127. Wed Dec 12 17:37:28 2018  begin with 88272425 relations and 88960095 unique ideals
  1128. Wed Dec 12 17:38:19 2018  reduce to 88219128 relations and 86776594 ideals in 6 passes
  1129. Wed Dec 12 17:38:19 2018  max relations containing the same ideal: 110
  1130. Wed Dec 12 17:39:21 2018  relations with 0 large ideals: 46338
  1131. Wed Dec 12 17:39:21 2018  relations with 1 large ideals: 11919
  1132. Wed Dec 12 17:39:21 2018  relations with 2 large ideals: 180008
  1133. Wed Dec 12 17:39:21 2018  relations with 3 large ideals: 1344282
  1134. Wed Dec 12 17:39:21 2018  relations with 4 large ideals: 5545743
  1135. Wed Dec 12 17:39:21 2018  relations with 5 large ideals: 13860655
  1136. Wed Dec 12 17:39:21 2018  relations with 6 large ideals: 21942501
  1137. Wed Dec 12 17:39:21 2018  relations with 7+ large ideals: 45287682
  1138. Wed Dec 12 17:39:21 2018  commencing 2-way merge
  1139. Wed Dec 12 17:40:26 2018  reduce to 57100680 relation sets and 55658146 unique ideals
  1140. Wed Dec 12 17:40:26 2018  commencing full merge
  1141. Wed Dec 12 18:03:31 2018  memory use: 7294.3 MB
  1142. Wed Dec 12 18:03:36 2018  found 25403609 cycles, need 25384346
  1143. Wed Dec 12 18:03:43 2018  weight of 25384346 cycles is about 3148225092 (124.02/cycle)
  1144. Wed Dec 12 18:03:43 2018  distribution of cycle lengths:
  1145. Wed Dec 12 18:03:43 2018  1 relations: 1457891
  1146. Wed Dec 12 18:03:43 2018  2 relations: 1713592
  1147. Wed Dec 12 18:03:43 2018  3 relations: 1856586
  1148. Wed Dec 12 18:03:43 2018  4 relations: 1840750
  1149. Wed Dec 12 18:03:43 2018  5 relations: 1826119
  1150. Wed Dec 12 18:03:43 2018  6 relations: 1759702
  1151. Wed Dec 12 18:03:43 2018  7 relations: 1698613
  1152. Wed Dec 12 18:03:43 2018  8 relations: 1608785
  1153. Wed Dec 12 18:03:43 2018  9 relations: 1517720
  1154. Wed Dec 12 18:03:43 2018  10+ relations: 10104588
  1155. Wed Dec 12 18:03:43 2018  heaviest cycle: 28 relations
  1156. Wed Dec 12 18:03:50 2018  commencing cycle optimization
  1157. Wed Dec 12 18:04:43 2018  start with 224262460 relations
  1158. Wed Dec 12 18:13:09 2018  pruned 9752066 relations
  1159. Wed Dec 12 18:13:09 2018  memory use: 5957.7 MB
  1160. Wed Dec 12 18:13:09 2018  distribution of cycle lengths:
  1161. Wed Dec 12 18:13:09 2018  1 relations: 1457891
  1162. Wed Dec 12 18:13:09 2018  2 relations: 1756444
  1163. Wed Dec 12 18:13:09 2018  3 relations: 1934117
  1164. Wed Dec 12 18:13:09 2018  4 relations: 1914887
  1165. Wed Dec 12 18:13:09 2018  5 relations: 1910799
  1166. Wed Dec 12 18:13:09 2018  6 relations: 1835264
  1167. Wed Dec 12 18:13:09 2018  7 relations: 1776539
  1168. Wed Dec 12 18:13:09 2018  8 relations: 1674757
  1169. Wed Dec 12 18:13:09 2018  9 relations: 1576324
  1170. Wed Dec 12 18:13:09 2018  10+ relations: 9547324
  1171. Wed Dec 12 18:13:09 2018  heaviest cycle: 28 relations
  1172. Wed Dec 12 18:14:00 2018  RelProcTime: 12690
  1173. Wed Dec 12 18:14:10 2018  elapsed time 03:31:41
  1174. Thu Dec 13 22:11:28 2018  
  1175. Thu Dec 13 22:11:28 2018  
  1176. Thu Dec 13 22:11:28 2018  Msieve v. 1.54 (SVN 1022M)
  1177. Thu Dec 13 22:11:28 2018  random seeds: f60c203a 19ee2497
  1178. Thu Dec 13 22:11:28 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  1179. Thu Dec 13 22:11:29 2018  no P-1/P+1/ECM available, skipping
  1180. Thu Dec 13 22:11:29 2018  commencing number field sieve (267-digit input)
  1181. Thu Dec 13 22:11:29 2018  R0: 267998461123333843822313649147610645572765121
  1182. Thu Dec 13 22:11:29 2018  R1: -1
  1183. Thu Dec 13 22:11:29 2018  A0: -1
  1184. Thu Dec 13 22:11:29 2018  A1: 0
  1185. Thu Dec 13 22:11:29 2018  A2: 0
  1186. Thu Dec 13 22:11:29 2018  A3: 0
  1187. Thu Dec 13 22:11:29 2018  A4: 0
  1188. Thu Dec 13 22:11:29 2018  A5: 0
  1189. Thu Dec 13 22:11:29 2018  A6: 5039
  1190. Thu Dec 13 22:11:29 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  1191. Thu Dec 13 22:11:29 2018  
  1192. Thu Dec 13 22:11:29 2018  commencing linear algebra
  1193. Thu Dec 13 22:11:32 2018  read 25384346 cycles
  1194. Thu Dec 13 22:12:29 2018  cycles contain 87426626 unique relations
  1195. Thu Dec 13 22:18:41 2018  read 87426626 relations
  1196. Thu Dec 13 22:21:36 2018  using 20 quadratic characters above 4294917295
  1197. Thu Dec 13 22:27:54 2018  building initial matrix
  1198. Thu Dec 13 22:46:22 2018  memory use: 11345.0 MB
  1199. Thu Dec 13 22:46:35 2018  read 25384346 cycles
  1200. Thu Dec 13 22:46:39 2018  matrix is 25384169 x 25384346 (12289.8 MB) with weight 3534996801 (139.26/col)
  1201. Thu Dec 13 22:46:39 2018  sparse part has weight 2942459909 (115.92/col)
  1202. Thu Dec 13 22:51:47 2018  filtering completed in 2 passes
  1203. Thu Dec 13 22:51:52 2018  matrix is 25383956 x 25384128 (12289.7 MB) with weight 3534989344 (139.26/col)
  1204. Thu Dec 13 22:51:52 2018  sparse part has weight 2942457812 (115.92/col)
  1205. Thu Dec 13 22:53:00 2018  matrix starts at (0, 0)
  1206. Thu Dec 13 22:53:04 2018  matrix is 25383956 x 25384128 (12289.7 MB) with weight 3534989344 (139.26/col)
  1207. Thu Dec 13 22:53:04 2018  sparse part has weight 2942457812 (115.92/col)
  1208. Thu Dec 13 22:53:04 2018  saving the first 240 matrix rows for later
  1209. Thu Dec 13 22:53:10 2018  matrix includes 256 packed rows
  1210. Thu Dec 13 22:53:18 2018  matrix is 25383716 x 25384128 (11360.5 MB) with weight 2704002941 (106.52/col)
  1211. Thu Dec 13 22:53:18 2018  sparse part has weight 2571939080 (101.32/col)
  1212. Thu Dec 13 22:53:18 2018  using block size 8192 and superblock size 473088 for processor cache size 19712 kB
  1213. Thu Dec 13 22:54:16 2018  commencing Lanczos iteration (14 threads)
  1214. Thu Dec 13 22:54:16 2018  memory use: 15562.1 MB
  1215. Thu Dec 13 22:54:56 2018  linear algebra at 0.0%, ETA 151h40m
  1216. Thu Dec 13 22:55:06 2018  checkpointing every 180000 dimensions
  1217. Thu Dec 20 01:48:44 2018  lanczos halted after 99453 iterations (dim = 25383716)
  1218. Thu Dec 20 01:50:06 2018  recovered 39 nontrivial dependencies
  1219. Thu Dec 20 01:50:09 2018  BLanczosTime: 531520
  1220. Thu Dec 20 01:50:09 2018  elapsed time 147:38:41
  1221. Thu Dec 20 01:50:09 2018  
  1222. Thu Dec 20 01:50:09 2018  
  1223. Thu Dec 20 01:50:09 2018  Msieve v. 1.54 (SVN 1022M)
  1224. Thu Dec 20 01:50:09 2018  random seeds: 4a798ece 7d532177
  1225. Thu Dec 20 01:50:09 2018  factoring 370578310340182650925597894096489492405238154392626587142699411352335326934686506745300578287661225117594768514219268811410645016482255916982419635809249253655096305319894937453168256773675988388453614757304530138800919307508286254422205328431242271129848806373092161 (267 digits)
  1226. Thu Dec 20 01:50:10 2018  no P-1/P+1/ECM available, skipping
  1227. Thu Dec 20 01:50:10 2018  commencing number field sieve (267-digit input)
  1228. Thu Dec 20 01:50:10 2018  R0: 267998461123333843822313649147610645572765121
  1229. Thu Dec 20 01:50:10 2018  R1: -1
  1230. Thu Dec 20 01:50:10 2018  A0: -1
  1231. Thu Dec 20 01:50:10 2018  A1: 0
  1232. Thu Dec 20 01:50:10 2018  A2: 0
  1233. Thu Dec 20 01:50:10 2018  A3: 0
  1234. Thu Dec 20 01:50:10 2018  A4: 0
  1235. Thu Dec 20 01:50:10 2018  A5: 0
  1236. Thu Dec 20 01:50:10 2018  A6: 5039
  1237. Thu Dec 20 01:50:10 2018  skew 0.24, size 1.524e-13, alpha 1.201, combined = 2.891e-14 rroots = 2
  1238. Thu Dec 20 01:50:10 2018  
  1239. Thu Dec 20 01:50:10 2018  commencing square root phase
  1240. Thu Dec 20 01:50:10 2018  reading relations for dependency 1
  1241. Thu Dec 20 01:50:12 2018  read 12692354 cycles
  1242. Thu Dec 20 01:50:40 2018  cycles contain 43720054 unique relations
  1243. Thu Dec 20 01:53:56 2018  read 43720054 relations
  1244. Thu Dec 20 01:57:27 2018  multiplying 43720054 relations
  1245. Thu Dec 20 02:35:28 2018  multiply complete, coefficients have about 1648.59 million bits
  1246. Thu Dec 20 02:35:31 2018  initial square root is modulo 24838381
  1247. Thu Dec 20 03:15:12 2018  GCD is N, no factor found
  1248. Thu Dec 20 03:15:12 2018  reading relations for dependency 2
  1249. Thu Dec 20 03:15:14 2018  read 12694019 cycles
  1250. Thu Dec 20 03:15:40 2018  cycles contain 43715624 unique relations
  1251. Thu Dec 20 03:18:50 2018  read 43715624 relations
  1252. Thu Dec 20 03:22:21 2018  multiplying 43715624 relations
  1253. Thu Dec 20 04:00:27 2018  multiply complete, coefficients have about 1648.43 million bits
  1254. Thu Dec 20 04:00:30 2018  initial square root is modulo 24797467
  1255. Thu Dec 20 04:39:51 2018  found factor: 20053882495885784345674750052933475924857668614431355963762764026282631
  1256. Thu Dec 20 04:39:51 2018  reading relations for dependency 3
  1257. Thu Dec 20 04:39:53 2018  read 12692534 cycles
  1258. Thu Dec 20 04:40:19 2018  cycles contain 43703236 unique relations
  1259. Thu Dec 20 04:43:29 2018  read 43703236 relations
  1260. Thu Dec 20 04:47:00 2018  multiplying 43703236 relations
  1261. Thu Dec 20 05:25:20 2018  multiply complete, coefficients have about 1647.96 million bits
  1262. Thu Dec 20 05:25:23 2018  initial square root is modulo 24676921
  1263. Thu Dec 20 06:04:46 2018  sqrtTime: 15276
  1264. Thu Dec 20 06:04:46 2018  p71 factor: 20053882495885784345674750052933475924857668614431355963762764026282631
  1265. Thu Dec 20 06:04:46 2018  p80 factor: 91103441492973369500334775256951724098155980467477580956345591982274679892569183
  1266. Thu Dec 20 06:04:46 2018  p117 factor: 202836798815734208960835393388441000650910050237709972994172229972380207457398369544572746718675248714254223293572457
  1267. Thu Dec 20 06:04:46 2018  elapsed time 04:14:37
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