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4p3_1449M

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  1. Mon May 13 17:02:24 2019  
  2. Mon May 13 17:02:24 2019  
  3. Mon May 13 17:02:24 2019  Msieve v. 1.53 (SVN 988M)
  4. Mon May 13 17:02:24 2019  random seeds: 99829e2e 3aecf573
  5. Mon May 13 17:02:24 2019  factoring 40229874757602764370986838327133841035152158984344228723626177075313087400545484216210111623257940559275100965418693704943177236861901847280179151406387463979701319688589139129986792282844466854664948879413772761 (212 digits)
  6. Mon May 13 17:02:24 2019  searching for 15-digit factors
  7. Mon May 13 17:02:25 2019  commencing number field sieve (212-digit input)
  8. Mon May 13 17:02:25 2019  R0: -348449144561426154917576131781987977226227
  9. Mon May 13 17:02:25 2019  R1: 14766705728856080112111339729366024192
  10. Mon May 13 17:02:25 2019  A0: -64
  11. Mon May 13 17:02:25 2019  A1: 192
  12. Mon May 13 17:02:25 2019  A2: 96
  13. Mon May 13 17:02:25 2019  A3: -288
  14. Mon May 13 17:02:25 2019  A4: -144
  15. Mon May 13 17:02:25 2019  A5: 54
  16. Mon May 13 17:02:25 2019  A6: 27
  17. Mon May 13 17:02:25 2019  skew 1.15, size 2.360e-12, alpha 0.543, combined = 2.151e-13 rroots = 6
  18. Mon May 13 17:02:25 2019  
  19. Mon May 13 17:02:25 2019  commencing relation filtering
  20. Mon May 13 17:02:25 2019  setting target matrix density to 130.0
  21. Mon May 13 17:02:25 2019  estimated available RAM is 32768.0 MB
  22. Mon May 13 17:02:25 2019  commencing duplicate removal, pass 1
  23. Mon May 13 17:10:26 2019  error -1 reading relation 81325500
  24. [5746 more error lines]
  25. Mon May 13 17:22:23 2019  error -1 reading relation 199944366
  26. Mon May 13 17:22:27 2019  skipped 135 relations with b > 2^32
  27. Mon May 13 17:22:27 2019  skipped 5041 relations with composite factors
  28. Mon May 13 17:22:27 2019  found 8822390 hash collisions in 200714492 relations
  29. Mon May 13 17:22:33 2019  added 2437924 free relations
  30. Mon May 13 17:22:33 2019  commencing duplicate removal, pass 2
  31. Mon May 13 17:23:19 2019  found 0 duplicates and 203152416 unique relations
  32. Mon May 13 17:23:19 2019  memory use: 522.4 MB
  33. Mon May 13 17:23:19 2019  reading ideals above 133890048
  34. Mon May 13 17:23:19 2019  commencing singleton removal, initial pass
  35. Mon May 13 17:38:03 2019  memory use: 5512.0 MB
  36. Mon May 13 17:38:04 2019  reading all ideals from disk
  37. Mon May 13 17:38:06 2019  memory use: 3824.0 MB
  38. Mon May 13 17:38:13 2019  commencing in-memory singleton removal
  39. Mon May 13 17:38:20 2019  begin with 203152416 relations and 163851534 unique ideals
  40. Mon May 13 17:39:40 2019  reduce to 139298250 relations and 94049100 ideals in 13 passes
  41. Mon May 13 17:39:40 2019  max relations containing the same ideal: 42
  42. Mon May 13 17:39:51 2019  reading ideals above 720000
  43. Mon May 13 17:39:51 2019  commencing singleton removal, initial pass
  44. Mon May 13 17:53:27 2019  memory use: 3012.0 MB
  45. Mon May 13 17:53:27 2019  reading all ideals from disk
  46. Mon May 13 17:53:31 2019  memory use: 5520.3 MB
  47. Mon May 13 17:53:42 2019  keeping 108503273 ideals with weight <= 200, target excess is 718338
  48. Mon May 13 17:53:55 2019  commencing in-memory singleton removal
  49. Mon May 13 17:54:04 2019  begin with 139298250 relations and 108503273 unique ideals
  50. Mon May 13 17:54:34 2019  reduce to 139298246 relations and 108503269 ideals in 3 passes
  51. Mon May 13 17:54:34 2019  max relations containing the same ideal: 200
  52. Mon May 13 17:55:24 2019  removing 10293130 relations and 8293130 ideals in 2000000 cliques
  53. Mon May 13 17:55:28 2019  commencing in-memory singleton removal
  54. Mon May 13 17:55:36 2019  begin with 129005116 relations and 108503269 unique ideals
  55. Mon May 13 17:56:59 2019  reduce to 128457834 relations and 99652951 ideals in 9 passes
  56. Mon May 13 17:56:59 2019  max relations containing the same ideal: 196
  57. Mon May 13 17:57:46 2019  removing 7829896 relations and 5829896 ideals in 2000000 cliques
  58. Mon May 13 17:57:48 2019  commencing in-memory singleton removal
  59. Mon May 13 17:57:56 2019  begin with 120627938 relations and 99652951 unique ideals
  60. Mon May 13 17:58:56 2019  reduce to 120264947 relations and 93454267 ideals in 7 passes
  61. Mon May 13 17:58:56 2019  max relations containing the same ideal: 191
  62. Mon May 13 17:59:40 2019  removing 7098648 relations and 5098648 ideals in 2000000 cliques
  63. Mon May 13 17:59:42 2019  commencing in-memory singleton removal
  64. Mon May 13 17:59:50 2019  begin with 113166299 relations and 93454267 unique ideals
  65. Mon May 13 18:00:38 2019  reduce to 112851570 relations and 88035910 ideals in 6 passes
  66. Mon May 13 18:00:38 2019  max relations containing the same ideal: 187
  67. Mon May 13 18:01:19 2019  removing 6709634 relations and 4709634 ideals in 2000000 cliques
  68. Mon May 13 18:01:21 2019  commencing in-memory singleton removal
  69. Mon May 13 18:01:28 2019  begin with 106141936 relations and 88035910 unique ideals
  70. Mon May 13 18:02:20 2019  reduce to 105853221 relations and 83032878 ideals in 7 passes
  71. Mon May 13 18:02:20 2019  max relations containing the same ideal: 178
  72. Mon May 13 18:02:59 2019  removing 6459285 relations and 4459285 ideals in 2000000 cliques
  73. Mon May 13 18:03:01 2019  commencing in-memory singleton removal
  74. Mon May 13 18:03:08 2019  begin with 99393936 relations and 83032878 unique ideals
  75. Mon May 13 18:03:56 2019  reduce to 99120066 relations and 78294988 ideals in 7 passes
  76. Mon May 13 18:03:56 2019  max relations containing the same ideal: 172
  77. Mon May 13 18:04:33 2019  removing 6279654 relations and 4279654 ideals in 2000000 cliques
  78. Mon May 13 18:04:35 2019  commencing in-memory singleton removal
  79. Mon May 13 18:04:41 2019  begin with 92840412 relations and 78294988 unique ideals
  80. Mon May 13 18:05:20 2019  reduce to 92574739 relations and 73744861 ideals in 6 passes
  81. Mon May 13 18:05:20 2019  max relations containing the same ideal: 162
  82. Mon May 13 18:05:54 2019  removing 6141682 relations and 4141682 ideals in 2000000 cliques
  83. Mon May 13 18:05:56 2019  commencing in-memory singleton removal
  84. Mon May 13 18:06:02 2019  begin with 86433057 relations and 73744861 unique ideals
  85. Mon May 13 18:06:38 2019  reduce to 86168477 relations and 69333591 ideals in 6 passes
  86. Mon May 13 18:06:38 2019  max relations containing the same ideal: 157
  87. Mon May 13 18:07:10 2019  removing 6033883 relations and 4033883 ideals in 2000000 cliques
  88. Mon May 13 18:07:12 2019  commencing in-memory singleton removal
  89. Mon May 13 18:07:17 2019  begin with 80134594 relations and 69333591 unique ideals
  90. Mon May 13 18:07:50 2019  reduce to 79867415 relations and 65027156 ideals in 6 passes
  91. Mon May 13 18:07:50 2019  max relations containing the same ideal: 150
  92. Mon May 13 18:08:20 2019  removing 5943952 relations and 3943952 ideals in 2000000 cliques
  93. Mon May 13 18:08:22 2019  commencing in-memory singleton removal
  94. Mon May 13 18:08:27 2019  begin with 73923463 relations and 65027156 unique ideals
  95. Mon May 13 18:08:57 2019  reduce to 73649465 relations and 60803174 ideals in 6 passes
  96. Mon May 13 18:08:57 2019  max relations containing the same ideal: 142
  97. Mon May 13 18:09:24 2019  removing 5875267 relations and 3875267 ideals in 2000000 cliques
  98. Mon May 13 18:09:26 2019  commencing in-memory singleton removal
  99. Mon May 13 18:09:31 2019  begin with 67774198 relations and 60803174 unique ideals
  100. Mon May 13 18:09:58 2019  reduce to 67491530 relations and 56638542 ideals in 6 passes
  101. Mon May 13 18:09:58 2019  max relations containing the same ideal: 134
  102. Mon May 13 18:10:23 2019  removing 5821803 relations and 3821803 ideals in 2000000 cliques
  103. Mon May 13 18:10:25 2019  commencing in-memory singleton removal
  104. Mon May 13 18:10:29 2019  begin with 61669727 relations and 56638542 unique ideals
  105. Mon May 13 18:10:59 2019  reduce to 61368491 relations and 52507816 ideals in 7 passes
  106. Mon May 13 18:10:59 2019  max relations containing the same ideal: 125
  107. Mon May 13 18:11:21 2019  removing 5782650 relations and 3782650 ideals in 2000000 cliques
  108. Mon May 13 18:11:23 2019  commencing in-memory singleton removal
  109. Mon May 13 18:11:27 2019  begin with 55585841 relations and 52507816 unique ideals
  110. Mon May 13 18:11:53 2019  reduce to 55255386 relations and 48385520 ideals in 7 passes
  111. Mon May 13 18:11:53 2019  max relations containing the same ideal: 113
  112. Mon May 13 18:12:13 2019  removing 5770012 relations and 3770012 ideals in 2000000 cliques
  113. Mon May 13 18:12:15 2019  commencing in-memory singleton removal
  114. Mon May 13 18:12:18 2019  begin with 49485374 relations and 48385520 unique ideals
  115. Mon May 13 18:12:38 2019  reduce to 49114341 relations and 44233062 ideals in 6 passes
  116. Mon May 13 18:12:38 2019  max relations containing the same ideal: 105
  117. Mon May 13 18:12:56 2019  removing 5781796 relations and 3781796 ideals in 2000000 cliques
  118. Mon May 13 18:12:58 2019  commencing in-memory singleton removal
  119. Mon May 13 18:13:01 2019  begin with 43332545 relations and 44233062 unique ideals
  120. Mon May 13 18:13:24 2019  reduce to 42896801 relations and 40000369 ideals in 8 passes
  121. Mon May 13 18:13:24 2019  max relations containing the same ideal: 96
  122. Mon May 13 18:13:40 2019  removing 5841559 relations and 3841559 ideals in 2000000 cliques
  123. Mon May 13 18:13:42 2019  commencing in-memory singleton removal
  124. Mon May 13 18:13:44 2019  begin with 37055242 relations and 40000369 unique ideals
  125. Mon May 13 18:14:03 2019  reduce to 36507566 relations and 35589304 ideals in 8 passes
  126. Mon May 13 18:14:03 2019  max relations containing the same ideal: 85
  127. Mon May 13 18:14:17 2019  removing 427592 relations and 342603 ideals in 84989 cliques
  128. Mon May 13 18:14:18 2019  commencing in-memory singleton removal
  129. Mon May 13 18:14:20 2019  begin with 36079974 relations and 35589304 unique ideals
  130. Mon May 13 18:14:32 2019  reduce to 36075760 relations and 35242473 ideals in 5 passes
  131. Mon May 13 18:14:32 2019  max relations containing the same ideal: 85
  132. Mon May 13 18:14:37 2019  relations with 0 large ideals: 55037
  133. Mon May 13 18:14:37 2019  relations with 1 large ideals: 12800
  134. Mon May 13 18:14:37 2019  relations with 2 large ideals: 151449
  135. Mon May 13 18:14:37 2019  relations with 3 large ideals: 973982
  136. Mon May 13 18:14:37 2019  relations with 4 large ideals: 3406630
  137. Mon May 13 18:14:37 2019  relations with 5 large ideals: 7138308
  138. Mon May 13 18:14:37 2019  relations with 6 large ideals: 9404429
  139. Mon May 13 18:14:37 2019  relations with 7+ large ideals: 14933125
  140. Mon May 13 18:14:37 2019  commencing 2-way merge
  141. Mon May 13 18:14:56 2019  reduce to 25212551 relation sets and 24379264 unique ideals
  142. Mon May 13 18:14:56 2019  commencing full merge
  143. Mon May 13 18:31:44 2019  memory use: 1129.9 MB
  144. Mon May 13 18:31:44 2019  found 107175 cycles, need 5394260
  145. Mon May 13 18:31:44 2019  too few cycles, matrix probably cannot build
  146. Mon May 13 20:30:30 2019  
  147. Mon May 13 20:30:30 2019  
  148. Mon May 13 20:30:30 2019  Msieve v. 1.53 (SVN 988M)
  149. Mon May 13 20:30:30 2019  random seeds: d4d224a8 d26b13eb
  150. Mon May 13 20:30:30 2019  factoring 40229874757602764370986838327133841035152158984344228723626177075313087400545484216210111623257940559275100965418693704943177236861901847280179151406387463979701319688589139129986792282844466854664948879413772761 (212 digits)
  151. Mon May 13 20:30:32 2019  searching for 15-digit factors
  152. Mon May 13 20:30:33 2019  commencing number field sieve (212-digit input)
  153. Mon May 13 20:30:33 2019  R0: -348449144561426154917576131781987977226227
  154. Mon May 13 20:30:33 2019  R1: 14766705728856080112111339729366024192
  155. Mon May 13 20:30:33 2019  A0: -64
  156. Mon May 13 20:30:33 2019  A1: 192
  157. Mon May 13 20:30:33 2019  A2: 96
  158. Mon May 13 20:30:33 2019  A3: -288
  159. Mon May 13 20:30:33 2019  A4: -144
  160. Mon May 13 20:30:33 2019  A5: 54
  161. Mon May 13 20:30:33 2019  A6: 27
  162. Mon May 13 20:30:33 2019  skew 1.15, size 2.360e-12, alpha 0.543, combined = 2.151e-13 rroots = 6
  163. Mon May 13 20:30:33 2019  
  164. Mon May 13 20:30:33 2019  commencing relation filtering
  165. Mon May 13 20:30:33 2019  setting target matrix density to 124.0
  166. Mon May 13 20:30:33 2019  estimated available RAM is 32768.0 MB
  167. Mon May 13 20:30:33 2019  commencing duplicate removal, pass 1
  168. Mon May 13 20:38:33 2019  error -1 reading relation 81325500
  169. [5746 more error lines]
  170. Mon May 13 20:50:27 2019  error -1 reading relation 199944366
  171. Mon May 13 20:50:57 2019  skipped 135 relations with b > 2^32
  172. Mon May 13 20:50:57 2019  skipped 5041 relations with composite factors
  173. Mon May 13 20:50:57 2019  found 9030484 hash collisions in 203152416 relations
  174. Mon May 13 20:50:57 2019  commencing duplicate removal, pass 2
  175. Mon May 13 20:51:44 2019  found 0 duplicates and 203152416 unique relations
  176. Mon May 13 20:51:44 2019  memory use: 522.4 MB
  177. Mon May 13 20:51:44 2019  reading ideals above 133890048
  178. Mon May 13 20:51:44 2019  commencing singleton removal, initial pass
  179. Mon May 13 21:06:30 2019  memory use: 5512.0 MB
  180. Mon May 13 21:06:31 2019  reading all ideals from disk
  181. Mon May 13 21:06:33 2019  memory use: 3824.0 MB
  182. Mon May 13 21:06:40 2019  commencing in-memory singleton removal
  183. Mon May 13 21:06:47 2019  begin with 203152416 relations and 163851534 unique ideals
  184. Mon May 13 21:08:11 2019  reduce to 139298250 relations and 94049100 ideals in 13 passes
  185. Mon May 13 21:08:11 2019  max relations containing the same ideal: 42
  186. Mon May 13 21:08:22 2019  reading ideals above 720000
  187. Mon May 13 21:08:23 2019  commencing singleton removal, initial pass
  188. Mon May 13 21:22:05 2019  memory use: 3012.0 MB
  189. Mon May 13 21:22:06 2019  reading all ideals from disk
  190. Mon May 13 21:22:09 2019  memory use: 5520.3 MB
  191. Mon May 13 21:22:21 2019  keeping 108503273 ideals with weight <= 200, target excess is 718338
  192. Mon May 13 21:22:35 2019  commencing in-memory singleton removal
  193. Mon May 13 21:22:44 2019  begin with 139298250 relations and 108503273 unique ideals
  194. Mon May 13 21:23:16 2019  reduce to 139298246 relations and 108503269 ideals in 3 passes
  195. Mon May 13 21:23:16 2019  max relations containing the same ideal: 200
  196. Mon May 13 21:24:08 2019  removing 10293130 relations and 8293130 ideals in 2000000 cliques
  197. Mon May 13 21:24:11 2019  commencing in-memory singleton removal
  198. Mon May 13 21:24:20 2019  begin with 129005116 relations and 108503269 unique ideals
  199. Mon May 13 21:25:48 2019  reduce to 128457834 relations and 99652951 ideals in 9 passes
  200. Mon May 13 21:25:48 2019  max relations containing the same ideal: 196
  201. Mon May 13 21:26:36 2019  removing 7829896 relations and 5829896 ideals in 2000000 cliques
  202. Mon May 13 21:26:39 2019  commencing in-memory singleton removal
  203. Mon May 13 21:26:47 2019  begin with 120627938 relations and 99652951 unique ideals
  204. Mon May 13 21:27:50 2019  reduce to 120264947 relations and 93454267 ideals in 7 passes
  205. Mon May 13 21:27:50 2019  max relations containing the same ideal: 191
  206. Mon May 13 21:28:35 2019  removing 7098648 relations and 5098648 ideals in 2000000 cliques
  207. Mon May 13 21:28:38 2019  commencing in-memory singleton removal
  208. Mon May 13 21:28:46 2019  begin with 113166299 relations and 93454267 unique ideals
  209. Mon May 13 21:29:37 2019  reduce to 112851570 relations and 88035910 ideals in 6 passes
  210. Mon May 13 21:29:37 2019  max relations containing the same ideal: 187
  211. Mon May 13 21:30:19 2019  removing 6709634 relations and 4709634 ideals in 2000000 cliques
  212. Mon May 13 21:30:22 2019  commencing in-memory singleton removal
  213. Mon May 13 21:30:29 2019  begin with 106141936 relations and 88035910 unique ideals
  214. Mon May 13 21:31:25 2019  reduce to 105853221 relations and 83032878 ideals in 7 passes
  215. Mon May 13 21:31:25 2019  max relations containing the same ideal: 178
  216. Mon May 13 21:32:05 2019  removing 6459285 relations and 4459285 ideals in 2000000 cliques
  217. Mon May 13 21:32:07 2019  commencing in-memory singleton removal
  218. Mon May 13 21:32:14 2019  begin with 99393936 relations and 83032878 unique ideals
  219. Mon May 13 21:33:06 2019  reduce to 99120066 relations and 78294988 ideals in 7 passes
  220. Mon May 13 21:33:06 2019  max relations containing the same ideal: 172
  221. Mon May 13 21:33:43 2019  removing 6279654 relations and 4279654 ideals in 2000000 cliques
  222. Mon May 13 21:33:46 2019  commencing in-memory singleton removal
  223. Mon May 13 21:33:52 2019  begin with 92840412 relations and 78294988 unique ideals
  224. Mon May 13 21:34:33 2019  reduce to 92574739 relations and 73744861 ideals in 6 passes
  225. Mon May 13 21:34:33 2019  max relations containing the same ideal: 162
  226. Mon May 13 21:35:09 2019  removing 6141682 relations and 4141682 ideals in 2000000 cliques
  227. Mon May 13 21:35:11 2019  commencing in-memory singleton removal
  228. Mon May 13 21:35:17 2019  begin with 86433057 relations and 73744861 unique ideals
  229. Mon May 13 21:35:54 2019  reduce to 86168477 relations and 69333591 ideals in 6 passes
  230. Mon May 13 21:35:54 2019  max relations containing the same ideal: 157
  231. Mon May 13 21:36:27 2019  removing 6033883 relations and 4033883 ideals in 2000000 cliques
  232. Mon May 13 21:36:30 2019  commencing in-memory singleton removal
  233. Mon May 13 21:36:35 2019  begin with 80134594 relations and 69333591 unique ideals
  234. Mon May 13 21:37:10 2019  reduce to 79867415 relations and 65027156 ideals in 6 passes
  235. Mon May 13 21:37:10 2019  max relations containing the same ideal: 150
  236. Mon May 13 21:37:40 2019  removing 5943952 relations and 3943952 ideals in 2000000 cliques
  237. Mon May 13 21:37:43 2019  commencing in-memory singleton removal
  238. Mon May 13 21:37:47 2019  begin with 73923463 relations and 65027156 unique ideals
  239. Mon May 13 21:38:20 2019  reduce to 73649465 relations and 60803174 ideals in 6 passes
  240. Mon May 13 21:38:20 2019  max relations containing the same ideal: 142
  241. Mon May 13 21:38:48 2019  removing 5875267 relations and 3875267 ideals in 2000000 cliques
  242. Mon May 13 21:38:50 2019  commencing in-memory singleton removal
  243. Mon May 13 21:38:54 2019  begin with 67774198 relations and 60803174 unique ideals
  244. Mon May 13 21:39:24 2019  reduce to 67491530 relations and 56638542 ideals in 6 passes
  245. Mon May 13 21:39:24 2019  max relations containing the same ideal: 134
  246. Mon May 13 21:39:49 2019  removing 5821803 relations and 3821803 ideals in 2000000 cliques
  247. Mon May 13 21:39:51 2019  commencing in-memory singleton removal
  248. Mon May 13 21:39:55 2019  begin with 61669727 relations and 56638542 unique ideals
  249. Mon May 13 21:40:26 2019  reduce to 61368491 relations and 52507816 ideals in 7 passes
  250. Mon May 13 21:40:26 2019  max relations containing the same ideal: 125
  251. Mon May 13 21:40:50 2019  removing 5782650 relations and 3782650 ideals in 2000000 cliques
  252. Mon May 13 21:40:52 2019  commencing in-memory singleton removal
  253. Mon May 13 21:40:56 2019  begin with 55585841 relations and 52507816 unique ideals
  254. Mon May 13 21:41:23 2019  reduce to 55255386 relations and 48385520 ideals in 7 passes
  255. Mon May 13 21:41:23 2019  max relations containing the same ideal: 113
  256. Mon May 13 21:41:45 2019  removing 5770012 relations and 3770012 ideals in 2000000 cliques
  257. Mon May 13 21:41:46 2019  commencing in-memory singleton removal
  258. Mon May 13 21:41:50 2019  begin with 49485374 relations and 48385520 unique ideals
  259. Mon May 13 21:42:11 2019  reduce to 49114341 relations and 44233062 ideals in 6 passes
  260. Mon May 13 21:42:11 2019  max relations containing the same ideal: 105
  261. Mon May 13 21:42:30 2019  removing 5781796 relations and 3781796 ideals in 2000000 cliques
  262. Mon May 13 21:42:31 2019  commencing in-memory singleton removal
  263. Mon May 13 21:42:34 2019  begin with 43332545 relations and 44233062 unique ideals
  264. Mon May 13 21:42:58 2019  reduce to 42896801 relations and 40000369 ideals in 8 passes
  265. Mon May 13 21:42:58 2019  max relations containing the same ideal: 96
  266. Mon May 13 21:43:15 2019  removing 5841559 relations and 3841559 ideals in 2000000 cliques
  267. Mon May 13 21:43:16 2019  commencing in-memory singleton removal
  268. Mon May 13 21:43:19 2019  begin with 37055242 relations and 40000369 unique ideals
  269. Mon May 13 21:43:39 2019  reduce to 36507566 relations and 35589304 ideals in 8 passes
  270. Mon May 13 21:43:39 2019  max relations containing the same ideal: 85
  271. Mon May 13 21:43:53 2019  removing 427592 relations and 342603 ideals in 84989 cliques
  272. Mon May 13 21:43:54 2019  commencing in-memory singleton removal
  273. Mon May 13 21:43:57 2019  begin with 36079974 relations and 35589304 unique ideals
  274. Mon May 13 21:44:09 2019  reduce to 36075760 relations and 35242473 ideals in 5 passes
  275. Mon May 13 21:44:09 2019  max relations containing the same ideal: 85
  276. Mon May 13 21:44:14 2019  relations with 0 large ideals: 55037
  277. Mon May 13 21:44:14 2019  relations with 1 large ideals: 12800
  278. Mon May 13 21:44:14 2019  relations with 2 large ideals: 151449
  279. Mon May 13 21:44:14 2019  relations with 3 large ideals: 973982
  280. Mon May 13 21:44:14 2019  relations with 4 large ideals: 3406630
  281. Mon May 13 21:44:14 2019  relations with 5 large ideals: 7138308
  282. Mon May 13 21:44:14 2019  relations with 6 large ideals: 9404429
  283. Mon May 13 21:44:14 2019  relations with 7+ large ideals: 14933125
  284. Mon May 13 21:44:14 2019  commencing 2-way merge
  285. Mon May 13 21:44:34 2019  reduce to 25212551 relation sets and 24379264 unique ideals
  286. Mon May 13 21:44:34 2019  commencing full merge
  287. Mon May 13 22:01:37 2019  memory use: 1129.9 MB
  288. Mon May 13 22:01:37 2019  found 107175 cycles, need 5394260
  289. Mon May 13 22:01:37 2019  too few cycles, matrix probably cannot build
  290. Mon May 13 22:31:52 2019  
  291. Mon May 13 22:31:52 2019  
  292. Mon May 13 22:31:52 2019  Msieve v. 1.53 (SVN 988M)
  293. Mon May 13 22:31:52 2019  random seeds: 6576e7c5 fb561e89
  294. Mon May 13 22:31:52 2019  factoring 40229874757602764370986838327133841035152158984344228723626177075313087400545484216210111623257940559275100965418693704943177236861901847280179151406387463979701319688589139129986792282844466854664948879413772761 (212 digits)
  295. Mon May 13 22:31:53 2019  searching for 15-digit factors
  296. Mon May 13 22:31:54 2019  commencing number field sieve (212-digit input)
  297. Mon May 13 22:31:54 2019  R0: -348449144561426154917576131781987977226227
  298. Mon May 13 22:31:54 2019  R1: 14766705728856080112111339729366024192
  299. Mon May 13 22:31:54 2019  A0: -64
  300. Mon May 13 22:31:54 2019  A1: 192
  301. Mon May 13 22:31:54 2019  A2: 96
  302. Mon May 13 22:31:54 2019  A3: -288
  303. Mon May 13 22:31:54 2019  A4: -144
  304. Mon May 13 22:31:54 2019  A5: 54
  305. Mon May 13 22:31:54 2019  A6: 27
  306. Mon May 13 22:31:54 2019  skew 1.15, size 2.360e-12, alpha 0.543, combined = 2.151e-13 rroots = 6
  307. Mon May 13 22:31:54 2019  
  308. Mon May 13 22:31:54 2019  commencing relation filtering
  309. Mon May 13 22:31:54 2019  setting target matrix density to 120.0
  310. Mon May 13 22:31:54 2019  estimated available RAM is 32768.0 MB
  311. Mon May 13 22:31:54 2019  commencing duplicate removal, pass 1
  312. Mon May 13 22:39:55 2019  error -1 reading relation 81325500
  313. [5746 more error lines]
  314. Mon May 13 22:51:49 2019  error -1 reading relation 199944366
  315. Mon May 13 22:52:19 2019  skipped 135 relations with b > 2^32
  316. Mon May 13 22:52:19 2019  skipped 5041 relations with composite factors
  317. Mon May 13 22:52:19 2019  found 9030484 hash collisions in 203152416 relations
  318. Mon May 13 22:52:19 2019  commencing duplicate removal, pass 2
  319. Mon May 13 22:53:05 2019  found 0 duplicates and 203152416 unique relations
  320. Mon May 13 22:53:05 2019  memory use: 522.4 MB
  321. Mon May 13 22:53:05 2019  reading ideals above 133890048
  322. Mon May 13 22:53:05 2019  commencing singleton removal, initial pass
  323. Mon May 13 23:07:51 2019  memory use: 5512.0 MB
  324. Mon May 13 23:07:51 2019  reading all ideals from disk
  325. Mon May 13 23:07:53 2019  memory use: 3824.0 MB
  326. Mon May 13 23:08:00 2019  commencing in-memory singleton removal
  327. Mon May 13 23:08:07 2019  begin with 203152416 relations and 163851534 unique ideals
  328. Mon May 13 23:09:31 2019  reduce to 139298250 relations and 94049100 ideals in 13 passes
  329. Mon May 13 23:09:31 2019  max relations containing the same ideal: 42
  330. Mon May 13 23:09:43 2019  reading ideals above 720000
  331. Mon May 13 23:09:43 2019  commencing singleton removal, initial pass
  332. Mon May 13 23:23:26 2019  memory use: 3012.0 MB
  333. Mon May 13 23:23:26 2019  reading all ideals from disk
  334. Mon May 13 23:23:30 2019  memory use: 5520.3 MB
  335. Mon May 13 23:23:42 2019  keeping 108503273 ideals with weight <= 200, target excess is 718338
  336. Mon May 13 23:23:55 2019  commencing in-memory singleton removal
  337. Mon May 13 23:24:05 2019  begin with 139298250 relations and 108503273 unique ideals
  338. Mon May 13 23:24:37 2019  reduce to 139298246 relations and 108503269 ideals in 3 passes
  339. Mon May 13 23:24:37 2019  max relations containing the same ideal: 200
  340. Mon May 13 23:25:28 2019  removing 10293130 relations and 8293130 ideals in 2000000 cliques
  341. Mon May 13 23:25:32 2019  commencing in-memory singleton removal
  342. Mon May 13 23:25:41 2019  begin with 129005116 relations and 108503269 unique ideals
  343. Mon May 13 23:27:08 2019  reduce to 128457834 relations and 99652951 ideals in 9 passes
  344. Mon May 13 23:27:08 2019  max relations containing the same ideal: 196
  345. Mon May 13 23:27:57 2019  removing 7829896 relations and 5829896 ideals in 2000000 cliques
  346. Mon May 13 23:28:00 2019  commencing in-memory singleton removal
  347. Mon May 13 23:28:08 2019  begin with 120627938 relations and 99652951 unique ideals
  348. Mon May 13 23:29:11 2019  reduce to 120264947 relations and 93454267 ideals in 7 passes
  349. Mon May 13 23:29:11 2019  max relations containing the same ideal: 191
  350. Mon May 13 23:29:57 2019  removing 7098648 relations and 5098648 ideals in 2000000 cliques
  351. Mon May 13 23:29:59 2019  commencing in-memory singleton removal
  352. Mon May 13 23:30:07 2019  begin with 113166299 relations and 93454267 unique ideals
  353. Mon May 13 23:30:58 2019  reduce to 112851570 relations and 88035910 ideals in 6 passes
  354. Mon May 13 23:30:58 2019  max relations containing the same ideal: 187
  355. Mon May 13 23:31:40 2019  removing 6709634 relations and 4709634 ideals in 2000000 cliques
  356. Mon May 13 23:31:43 2019  commencing in-memory singleton removal
  357. Mon May 13 23:31:50 2019  begin with 106141936 relations and 88035910 unique ideals
  358. Mon May 13 23:32:46 2019  reduce to 105853221 relations and 83032878 ideals in 7 passes
  359. Mon May 13 23:32:46 2019  max relations containing the same ideal: 178
  360. Mon May 13 23:33:26 2019  removing 6459285 relations and 4459285 ideals in 2000000 cliques
  361. Mon May 13 23:33:28 2019  commencing in-memory singleton removal
  362. Mon May 13 23:33:35 2019  begin with 99393936 relations and 83032878 unique ideals
  363. Mon May 13 23:34:27 2019  reduce to 99120066 relations and 78294988 ideals in 7 passes
  364. Mon May 13 23:34:27 2019  max relations containing the same ideal: 172
  365. Mon May 13 23:35:04 2019  removing 6279654 relations and 4279654 ideals in 2000000 cliques
  366. Mon May 13 23:35:06 2019  commencing in-memory singleton removal
  367. Mon May 13 23:35:13 2019  begin with 92840412 relations and 78294988 unique ideals
  368. Mon May 13 23:35:54 2019  reduce to 92574739 relations and 73744861 ideals in 6 passes
  369. Mon May 13 23:35:54 2019  max relations containing the same ideal: 162
  370. Mon May 13 23:36:29 2019  removing 6141682 relations and 4141682 ideals in 2000000 cliques
  371. Mon May 13 23:36:31 2019  commencing in-memory singleton removal
  372. Mon May 13 23:36:37 2019  begin with 86433057 relations and 73744861 unique ideals
  373. Mon May 13 23:37:15 2019  reduce to 86168477 relations and 69333591 ideals in 6 passes
  374. Mon May 13 23:37:15 2019  max relations containing the same ideal: 157
  375. Mon May 13 23:37:48 2019  removing 6033883 relations and 4033883 ideals in 2000000 cliques
  376. Mon May 13 23:37:50 2019  commencing in-memory singleton removal
  377. Mon May 13 23:37:56 2019  begin with 80134594 relations and 69333591 unique ideals
  378. Mon May 13 23:38:31 2019  reduce to 79867415 relations and 65027156 ideals in 6 passes
  379. Mon May 13 23:38:31 2019  max relations containing the same ideal: 150
  380. Mon May 13 23:39:01 2019  removing 5943952 relations and 3943952 ideals in 2000000 cliques
  381. Mon May 13 23:39:04 2019  commencing in-memory singleton removal
  382. Mon May 13 23:39:08 2019  begin with 73923463 relations and 65027156 unique ideals
  383. Mon May 13 23:39:41 2019  reduce to 73649465 relations and 60803174 ideals in 6 passes
  384. Mon May 13 23:39:41 2019  max relations containing the same ideal: 142
  385. Mon May 13 23:40:09 2019  removing 5875267 relations and 3875267 ideals in 2000000 cliques
  386. Mon May 13 23:40:11 2019  commencing in-memory singleton removal
  387. Mon May 13 23:40:15 2019  begin with 67774198 relations and 60803174 unique ideals
  388. Mon May 13 23:40:44 2019  reduce to 67491530 relations and 56638542 ideals in 6 passes
  389. Mon May 13 23:40:44 2019  max relations containing the same ideal: 134
  390. Mon May 13 23:41:10 2019  removing 5821803 relations and 3821803 ideals in 2000000 cliques
  391. Mon May 13 23:41:12 2019  commencing in-memory singleton removal
  392. Mon May 13 23:41:16 2019  begin with 61669727 relations and 56638542 unique ideals
  393. Mon May 13 23:41:47 2019  reduce to 61368491 relations and 52507816 ideals in 7 passes
  394. Mon May 13 23:41:47 2019  max relations containing the same ideal: 125
  395. Mon May 13 23:42:10 2019  removing 5782650 relations and 3782650 ideals in 2000000 cliques
  396. Mon May 13 23:42:12 2019  commencing in-memory singleton removal
  397. Mon May 13 23:42:16 2019  begin with 55585841 relations and 52507816 unique ideals
  398. Mon May 13 23:42:43 2019  reduce to 55255386 relations and 48385520 ideals in 7 passes
  399. Mon May 13 23:42:43 2019  max relations containing the same ideal: 113
  400. Mon May 13 23:43:05 2019  removing 5770012 relations and 3770012 ideals in 2000000 cliques
  401. Mon May 13 23:43:06 2019  commencing in-memory singleton removal
  402. Mon May 13 23:43:10 2019  begin with 49485374 relations and 48385520 unique ideals
  403. Mon May 13 23:43:31 2019  reduce to 49114341 relations and 44233062 ideals in 6 passes
  404. Mon May 13 23:43:31 2019  max relations containing the same ideal: 105
  405. Mon May 13 23:43:50 2019  removing 5781796 relations and 3781796 ideals in 2000000 cliques
  406. Mon May 13 23:43:51 2019  commencing in-memory singleton removal
  407. Mon May 13 23:43:54 2019  begin with 43332545 relations and 44233062 unique ideals
  408. Mon May 13 23:44:18 2019  reduce to 42896801 relations and 40000369 ideals in 8 passes
  409. Mon May 13 23:44:18 2019  max relations containing the same ideal: 96
  410. Mon May 13 23:44:35 2019  removing 5841559 relations and 3841559 ideals in 2000000 cliques
  411. Mon May 13 23:44:37 2019  commencing in-memory singleton removal
  412. Mon May 13 23:44:39 2019  begin with 37055242 relations and 40000369 unique ideals
  413. Mon May 13 23:45:00 2019  reduce to 36507566 relations and 35589304 ideals in 8 passes
  414. Mon May 13 23:45:00 2019  max relations containing the same ideal: 85
  415. Mon May 13 23:45:14 2019  removing 427592 relations and 342603 ideals in 84989 cliques
  416. Mon May 13 23:45:15 2019  commencing in-memory singleton removal
  417. Mon May 13 23:45:17 2019  begin with 36079974 relations and 35589304 unique ideals
  418. Mon May 13 23:45:29 2019  reduce to 36075760 relations and 35242473 ideals in 5 passes
  419. Mon May 13 23:45:29 2019  max relations containing the same ideal: 85
  420. Mon May 13 23:45:34 2019  relations with 0 large ideals: 55037
  421. Mon May 13 23:45:34 2019  relations with 1 large ideals: 12800
  422. Mon May 13 23:45:34 2019  relations with 2 large ideals: 151449
  423. Mon May 13 23:45:34 2019  relations with 3 large ideals: 973982
  424. Mon May 13 23:45:34 2019  relations with 4 large ideals: 3406630
  425. Mon May 13 23:45:34 2019  relations with 5 large ideals: 7138308
  426. Mon May 13 23:45:34 2019  relations with 6 large ideals: 9404429
  427. Mon May 13 23:45:34 2019  relations with 7+ large ideals: 14933125
  428. Mon May 13 23:45:34 2019  commencing 2-way merge
  429. Mon May 13 23:45:54 2019  reduce to 25212551 relation sets and 24379264 unique ideals
  430. Mon May 13 23:45:54 2019  commencing full merge
  431. Mon May 13 23:55:12 2019  memory use: 3219.2 MB
  432. Mon May 13 23:55:17 2019  found 11118079 cycles, need 11099464
  433. Mon May 13 23:55:18 2019  weight of 11099464 cycles is about 1332489940 (120.05/cycle)
  434. Mon May 13 23:55:18 2019  distribution of cycle lengths:
  435. Mon May 13 23:55:18 2019  1 relations: 398963
  436. Mon May 13 23:55:18 2019  2 relations: 565011
  437. Mon May 13 23:55:18 2019  3 relations: 709549
  438. Mon May 13 23:55:18 2019  4 relations: 770758
  439. Mon May 13 23:55:18 2019  5 relations: 816232
  440. Mon May 13 23:55:18 2019  6 relations: 829405
  441. Mon May 13 23:55:18 2019  7 relations: 821623
  442. Mon May 13 23:55:18 2019  8 relations: 792286
  443. Mon May 13 23:55:18 2019  9 relations: 744786
  444. Mon May 13 23:55:18 2019  10+ relations: 4650851
  445. Mon May 13 23:55:18 2019  heaviest cycle: 28 relations
  446. Mon May 13 23:55:22 2019  commencing cycle optimization
  447. Mon May 13 23:55:48 2019  start with 102148139 relations
  448. Tue May 14 00:00:25 2019  pruned 5421533 relations
  449. Tue May 14 00:00:26 2019  memory use: 2555.3 MB
  450. Tue May 14 00:00:26 2019  distribution of cycle lengths:
  451. Tue May 14 00:00:26 2019  1 relations: 398963
  452. Tue May 14 00:00:26 2019  2 relations: 579609
  453. Tue May 14 00:00:26 2019  3 relations: 740851
  454. Tue May 14 00:00:26 2019  4 relations: 807119
  455. Tue May 14 00:00:26 2019  5 relations: 864636
  456. Tue May 14 00:00:26 2019  6 relations: 877879
  457. Tue May 14 00:00:26 2019  7 relations: 874866
  458. Tue May 14 00:00:26 2019  8 relations: 839987
  459. Tue May 14 00:00:26 2019  9 relations: 788745
  460. Tue May 14 00:00:26 2019  10+ relations: 4326809
  461. Tue May 14 00:00:26 2019  heaviest cycle: 28 relations
  462. Tue May 14 00:00:51 2019  RelProcTime: 5337
  463. Tue May 14 00:00:51 2019  
  464. Tue May 14 00:00:51 2019  commencing linear algebra
  465. Tue May 14 00:00:53 2019  read 11099464 cycles
  466. Tue May 14 00:01:17 2019  cycles contain 35708197 unique relations
  467. Tue May 14 00:03:40 2019  read 35708197 relations
  468. Tue May 14 00:04:56 2019  using 20 quadratic characters above 4294917295
  469. Tue May 14 00:07:01 2019  building initial matrix
  470. Tue May 14 00:13:23 2019  memory use: 4711.7 MB
  471. Tue May 14 00:13:33 2019  read 11099464 cycles
  472. Tue May 14 00:13:35 2019  matrix is 11099287 x 11099464 (5176.6 MB) with weight 1477931797 (133.15/col)
  473. Tue May 14 00:13:35 2019  sparse part has weight 1234926494 (111.26/col)
  474. Tue May 14 00:15:30 2019  filtering completed in 2 passes
  475. Tue May 14 00:15:31 2019  matrix is 11099184 x 11099361 (5176.6 MB) with weight 1477928205 (133.15/col)
  476. Tue May 14 00:15:31 2019  sparse part has weight 1234925117 (111.26/col)
  477. Tue May 14 00:16:08 2019  matrix starts at (0, 0)
  478. Tue May 14 00:16:09 2019  matrix is 11099184 x 11099361 (5176.6 MB) with weight 1477928205 (133.15/col)
  479. Tue May 14 00:16:09 2019  sparse part has weight 1234925117 (111.26/col)
  480. Tue May 14 00:16:09 2019  saving the first 48 matrix rows for later
  481. Tue May 14 00:16:11 2019  matrix includes 64 packed rows
  482. Tue May 14 00:16:12 2019  matrix is 11099136 x 11099361 (4970.9 MB) with weight 1273744899 (114.76/col)
  483. Tue May 14 00:16:12 2019  sparse part has weight 1192105159 (107.40/col)
  484. Tue May 14 00:16:12 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  485. Tue May 14 00:17:05 2019  commencing Lanczos iteration (8 threads)
  486. Tue May 14 00:17:05 2019  memory use: 4252.1 MB
  487. Tue May 14 00:17:28 2019  linear algebra at 0.0%, ETA 42h42m
  488. Tue May 14 00:17:36 2019  checkpointing every 260000 dimensions
  489. Wed May 15 20:34:14 2019  lanczos halted after 175511 iterations (dim = 11099132)
  490. Wed May 15 20:34:26 2019  recovered 32 nontrivial dependencies
  491. Wed May 15 20:34:28 2019  BLanczosTime: 160417
  492. Wed May 15 20:34:28 2019  
  493. Wed May 15 20:34:28 2019  commencing square root phase
  494. Wed May 15 20:34:28 2019  handling dependencies 1 to 64
  495. Wed May 15 20:34:28 2019  reading relations for dependency 1
  496. Wed May 15 20:34:30 2019  read 5545540 cycles
  497. Wed May 15 20:34:41 2019  cycles contain 17844198 unique relations
  498. Wed May 15 20:36:00 2019  read 17844198 relations
  499. Wed May 15 20:37:16 2019  multiplying 17844198 relations
  500. Wed May 15 20:48:29 2019  multiply complete, coefficients have about 537.78 million bits
  501. Wed May 15 20:48:31 2019  initial square root is modulo 66841
  502. Wed May 15 21:00:24 2019  GCD is 1, no factor found
  503. Wed May 15 21:00:24 2019  reading relations for dependency 2
  504. Wed May 15 21:00:26 2019  read 5549477 cycles
  505. Wed May 15 21:00:37 2019  cycles contain 17854244 unique relations
  506. Wed May 15 21:01:53 2019  read 17854244 relations
  507. Wed May 15 21:03:08 2019  multiplying 17854244 relations
  508. Wed May 15 21:14:25 2019  multiply complete, coefficients have about 538.10 million bits
  509. Wed May 15 21:14:27 2019  initial square root is modulo 67261
  510. Wed May 15 21:26:23 2019  sqrtTime: 3115
  511. Wed May 15 21:26:23 2019  p104 factor: 64436931879094263235111700136435764445369108325384483624124517373783654007447081910521557088048709360661
  512. Wed May 15 21:26:23 2019  p108 factor: 624329458036390954785061759479175754959929519432092764178922291593159381284792091023914414817104728161586101
  513. Wed May 15 21:26:23 2019  elapsed time 46:54:31
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