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f21_188p1

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Jul 16th, 2020
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  1. Tue Jul 14 10:16:49 2020
  2. Tue Jul 14 10:16:49 2020
  3. Tue Jul 14 10:16:49 2020 Msieve v. 1.53 (SVN 988M)
  4. Tue Jul 14 10:16:49 2020 random seeds: 3a23c6d9 17da8ccd
  5. Tue Jul 14 10:16:49 2020 factoring 198597512519787418971707751679034340185362323955552237609725988408008994509819845432021807869323108269320875858734654797071694336228128855939826321232221483275039377727560592316095740323138396201 (195 digits)
  6. Tue Jul 14 10:16:49 2020 searching for 15-digit factors
  7. Tue Jul 14 10:16:50 2020 commencing number field sieve (195-digit input)
  8. Tue Jul 14 10:16:50 2020 R0: 97453656071460446110921078004886769746621
  9. Tue Jul 14 10:16:50 2020 R1: 1
  10. Tue Jul 14 10:16:50 2020 A0: 1
  11. Tue Jul 14 10:16:50 2020 A1: 0
  12. Tue Jul 14 10:16:50 2020 A2: 0
  13. Tue Jul 14 10:16:50 2020 A3: 0
  14. Tue Jul 14 10:16:50 2020 A4: 0
  15. Tue Jul 14 10:16:50 2020 A5: 0
  16. Tue Jul 14 10:16:50 2020 A6: 441
  17. Tue Jul 14 10:16:50 2020 skew 1.00, size 2.791e-12, alpha 0.009, combined = 2.462e-13 rroots = 0
  18. Tue Jul 14 10:16:50 2020
  19. Tue Jul 14 10:16:50 2020 commencing relation filtering
  20. Tue Jul 14 10:16:50 2020 setting target matrix density to 130.0
  21. Tue Jul 14 10:16:50 2020 estimated available RAM is 32768.0 MB
  22. Tue Jul 14 10:16:50 2020 commencing duplicate removal, pass 1
  23. Tue Jul 14 10:20:55 2020 error -1 reading relation 36361014
  24. Tue Jul 14 10:21:32 2020 error -1 reading relation 41851291
  25. Tue Jul 14 10:21:32 2020 error -1 reading relation 41851292
  26. Tue Jul 14 10:21:32 2020 error -1 reading relation 41851293
  27. Tue Jul 14 10:21:39 2020 error -1 reading relation 42976824
  28. Tue Jul 14 10:21:39 2020 error -1 reading relation 42976825
  29. Tue Jul 14 10:21:39 2020 error -1 reading relation 42976826
  30. Tue Jul 14 10:21:39 2020 error -1 reading relation 42976827
  31. Tue Jul 14 10:21:39 2020 error -1 reading relation 42976828
  32. Tue Jul 14 10:21:47 2020 error -1 reading relation 44154076
  33. Tue Jul 14 10:21:47 2020 error -1 reading relation 44154077
  34. Tue Jul 14 10:21:47 2020 error -5 reading relation 44154078
  35. Tue Jul 14 10:25:06 2020 error -1 reading relation 74080098
  36. Tue Jul 14 10:25:06 2020 error -1 reading relation 74080099
  37. Tue Jul 14 10:26:48 2020 error -1 reading relation 89319108
  38. Tue Jul 14 10:26:48 2020 error -1 reading relation 89319109
  39. Tue Jul 14 10:26:48 2020 error -1 reading relation 89319110
  40. Tue Jul 14 10:27:20 2020 error -1 reading relation 94166502
  41. Tue Jul 14 10:27:20 2020 error -1 reading relation 94166503
  42. Tue Jul 14 10:28:38 2020 error -15 reading relation 105782414
  43. Tue Jul 14 10:30:02 2020 error -1 reading relation 118266314
  44. Tue Jul 14 10:30:02 2020 error -1 reading relation 118266315
  45. Tue Jul 14 10:30:17 2020 error -1 reading relation 120538772
  46. Tue Jul 14 10:31:09 2020 error -1 reading relation 128335067
  47. Tue Jul 14 10:32:08 2020 error -15 reading relation 137123811
  48. Tue Jul 14 10:37:06 2020 error -1 reading relation 181359998
  49. Tue Jul 14 10:38:13 2020 error -15 reading relation 191393394
  50. Tue Jul 14 10:38:14 2020 error -15 reading relation 191595478
  51. Tue Jul 14 10:38:15 2020 error -15 reading relation 191657013
  52. Tue Jul 14 10:38:15 2020 error -15 reading relation 191671407
  53. Tue Jul 14 10:38:40 2020 error -5 reading relation 195409973
  54. Tue Jul 14 10:39:59 2020 skipped 520 relations with b > 2^32
  55. Tue Jul 14 10:39:59 2020 skipped 2 relations with composite factors
  56. Tue Jul 14 10:39:59 2020 found 9386315 hash collisions in 207249272 relations
  57. Tue Jul 14 10:40:12 2020 added 1217939 free relations
  58. Tue Jul 14 10:40:12 2020 commencing duplicate removal, pass 2
  59. Tue Jul 14 10:48:34 2020 found 0 duplicates and 208467211 unique relations
  60. Tue Jul 14 10:48:34 2020 memory use: 522.4 MB
  61. Tue Jul 14 10:48:34 2020 reading ideals above 180551680
  62. Tue Jul 14 10:48:34 2020 commencing singleton removal, initial pass
  63. Tue Jul 14 11:05:59 2020 memory use: 3012.0 MB
  64. Tue Jul 14 11:06:00 2020 reading all ideals from disk
  65. Tue Jul 14 11:07:24 2020 memory use: 3625.1 MB
  66. Tue Jul 14 11:07:31 2020 commencing in-memory singleton removal
  67. Tue Jul 14 11:07:39 2020 begin with 208467211 relations and 163323491 unique ideals
  68. Tue Jul 14 11:09:13 2020 reduce to 149514095 relations and 99405062 ideals in 13 passes
  69. Tue Jul 14 11:09:13 2020 max relations containing the same ideal: 42
  70. Tue Jul 14 11:09:31 2020 reading ideals above 720000
  71. Tue Jul 14 11:09:31 2020 commencing singleton removal, initial pass
  72. Tue Jul 14 11:26:47 2020 memory use: 3012.0 MB
  73. Tue Jul 14 11:26:48 2020 reading all ideals from disk
  74. Tue Jul 14 11:29:05 2020 memory use: 5939.4 MB
  75. Tue Jul 14 11:29:18 2020 keeping 118772176 ideals with weight <= 200, target excess is 744401
  76. Tue Jul 14 11:29:34 2020 commencing in-memory singleton removal
  77. Tue Jul 14 11:29:45 2020 begin with 149514095 relations and 118772176 unique ideals
  78. Tue Jul 14 11:31:11 2020 reduce to 149512159 relations and 118770240 ideals in 7 passes
  79. Tue Jul 14 11:31:11 2020 max relations containing the same ideal: 200
  80. Tue Jul 14 11:32:10 2020 removing 10367288 relations and 8367288 ideals in 2000000 cliques
  81. Tue Jul 14 11:32:14 2020 commencing in-memory singleton removal
  82. Tue Jul 14 11:32:24 2020 begin with 139144871 relations and 118770240 unique ideals
  83. Tue Jul 14 11:33:55 2020 reduce to 138550540 relations and 109797985 ideals in 8 passes
  84. Tue Jul 14 11:33:55 2020 max relations containing the same ideal: 197
  85. Tue Jul 14 11:34:51 2020 removing 7986751 relations and 5986751 ideals in 2000000 cliques
  86. Tue Jul 14 11:34:54 2020 commencing in-memory singleton removal
  87. Tue Jul 14 11:35:03 2020 begin with 130563789 relations and 109797985 unique ideals
  88. Tue Jul 14 11:36:27 2020 reduce to 130166497 relations and 103407903 ideals in 8 passes
  89. Tue Jul 14 11:36:27 2020 max relations containing the same ideal: 193
  90. Tue Jul 14 11:37:20 2020 removing 7280286 relations and 5280286 ideals in 2000000 cliques
  91. Tue Jul 14 11:37:24 2020 commencing in-memory singleton removal
  92. Tue Jul 14 11:37:33 2020 begin with 122886211 relations and 103407903 unique ideals
  93. Tue Jul 14 11:38:52 2020 reduce to 122538494 relations and 97774579 ideals in 8 passes
  94. Tue Jul 14 11:38:52 2020 max relations containing the same ideal: 188
  95. Tue Jul 14 11:39:41 2020 removing 6923672 relations and 4923672 ideals in 2000000 cliques
  96. Tue Jul 14 11:39:44 2020 commencing in-memory singleton removal
  97. Tue Jul 14 11:39:52 2020 begin with 115614822 relations and 97774579 unique ideals
  98. Tue Jul 14 11:40:58 2020 reduce to 115290830 relations and 92521716 ideals in 7 passes
  99. Tue Jul 14 11:40:58 2020 max relations containing the same ideal: 179
  100. Tue Jul 14 11:41:45 2020 removing 6704553 relations and 4704553 ideals in 2000000 cliques
  101. Tue Jul 14 11:41:48 2020 commencing in-memory singleton removal
  102. Tue Jul 14 11:41:56 2020 begin with 108586277 relations and 92521716 unique ideals
  103. Tue Jul 14 11:42:48 2020 reduce to 108270653 relations and 87496400 ideals in 6 passes
  104. Tue Jul 14 11:42:48 2020 max relations containing the same ideal: 175
  105. Tue Jul 14 11:43:33 2020 removing 6557913 relations and 4557913 ideals in 2000000 cliques
  106. Tue Jul 14 11:43:35 2020 commencing in-memory singleton removal
  107. Tue Jul 14 11:43:42 2020 begin with 101712740 relations and 87496400 unique ideals
  108. Tue Jul 14 11:44:30 2020 reduce to 101396965 relations and 82617278 ideals in 6 passes
  109. Tue Jul 14 11:44:30 2020 max relations containing the same ideal: 171
  110. Tue Jul 14 11:45:12 2020 removing 6459377 relations and 4459377 ideals in 2000000 cliques
  111. Tue Jul 14 11:45:15 2020 commencing in-memory singleton removal
  112. Tue Jul 14 11:45:22 2020 begin with 94937588 relations and 82617278 unique ideals
  113. Tue Jul 14 11:46:15 2020 reduce to 94619029 relations and 77833664 ideals in 7 passes
  114. Tue Jul 14 11:46:15 2020 max relations containing the same ideal: 164
  115. Tue Jul 14 11:46:55 2020 removing 6390841 relations and 4390841 ideals in 2000000 cliques
  116. Tue Jul 14 11:46:57 2020 commencing in-memory singleton removal
  117. Tue Jul 14 11:47:03 2020 begin with 88228188 relations and 77833664 unique ideals
  118. Tue Jul 14 11:47:52 2020 reduce to 87901136 relations and 73109582 ideals in 7 passes
  119. Tue Jul 14 11:47:52 2020 max relations containing the same ideal: 154
  120. Tue Jul 14 11:48:29 2020 removing 6346924 relations and 4346924 ideals in 2000000 cliques
  121. Tue Jul 14 11:48:31 2020 commencing in-memory singleton removal
  122. Tue Jul 14 11:48:37 2020 begin with 81554212 relations and 73109582 unique ideals
  123. Tue Jul 14 11:49:21 2020 reduce to 81212050 relations and 68413674 ideals in 7 passes
  124. Tue Jul 14 11:49:21 2020 max relations containing the same ideal: 144
  125. Tue Jul 14 11:49:56 2020 removing 6322693 relations and 4322693 ideals in 2000000 cliques
  126. Tue Jul 14 11:49:59 2020 commencing in-memory singleton removal
  127. Tue Jul 14 11:50:04 2020 begin with 74889357 relations and 68413674 unique ideals
  128. Tue Jul 14 11:50:45 2020 reduce to 74529796 relations and 63723630 ideals in 7 passes
  129. Tue Jul 14 11:50:45 2020 max relations containing the same ideal: 137
  130. Tue Jul 14 11:51:17 2020 removing 6320347 relations and 4320347 ideals in 2000000 cliques
  131. Tue Jul 14 11:51:20 2020 commencing in-memory singleton removal
  132. Tue Jul 14 11:51:25 2020 begin with 68209449 relations and 63723630 unique ideals
  133. Tue Jul 14 11:52:02 2020 reduce to 67822734 relations and 59007422 ideals in 7 passes
  134. Tue Jul 14 11:52:02 2020 max relations containing the same ideal: 128
  135. Tue Jul 14 11:52:30 2020 removing 6327863 relations and 4327863 ideals in 2000000 cliques
  136. Tue Jul 14 11:52:33 2020 commencing in-memory singleton removal
  137. Tue Jul 14 11:52:37 2020 begin with 61494871 relations and 59007422 unique ideals
  138. Tue Jul 14 11:53:10 2020 reduce to 61073435 relations and 54247490 ideals in 7 passes
  139. Tue Jul 14 11:53:10 2020 max relations containing the same ideal: 118
  140. Tue Jul 14 11:53:36 2020 removing 6354865 relations and 4354865 ideals in 2000000 cliques
  141. Tue Jul 14 11:53:38 2020 commencing in-memory singleton removal
  142. Tue Jul 14 11:53:42 2020 begin with 54718570 relations and 54247490 unique ideals
  143. Tue Jul 14 11:54:10 2020 reduce to 54245818 relations and 49406590 ideals in 7 passes
  144. Tue Jul 14 11:54:10 2020 max relations containing the same ideal: 112
  145. Tue Jul 14 11:54:33 2020 removing 6403594 relations and 4403594 ideals in 2000000 cliques
  146. Tue Jul 14 11:54:35 2020 commencing in-memory singleton removal
  147. Tue Jul 14 11:54:38 2020 begin with 47842224 relations and 49406590 unique ideals
  148. Tue Jul 14 11:55:07 2020 reduce to 47299723 relations and 44443391 ideals in 8 passes
  149. Tue Jul 14 11:55:07 2020 max relations containing the same ideal: 97
  150. Tue Jul 14 11:55:27 2020 removing 6459796 relations and 4466970 ideals in 1992826 cliques
  151. Tue Jul 14 11:55:29 2020 commencing in-memory singleton removal
  152. Tue Jul 14 11:55:32 2020 begin with 40839927 relations and 44443391 unique ideals
  153. Tue Jul 14 11:55:56 2020 reduce to 40189060 relations and 39302189 ideals in 8 passes
  154. Tue Jul 14 11:55:56 2020 max relations containing the same ideal: 88
  155. Tue Jul 14 11:56:13 2020 removing 161991 relations and 138626 ideals in 23365 cliques
  156. Tue Jul 14 11:56:14 2020 commencing in-memory singleton removal
  157. Tue Jul 14 11:56:16 2020 begin with 40027069 relations and 39302189 unique ideals
  158. Tue Jul 14 11:56:28 2020 reduce to 40026614 relations and 39163108 ideals in 4 passes
  159. Tue Jul 14 11:56:28 2020 max relations containing the same ideal: 88
  160. Tue Jul 14 11:56:34 2020 relations with 0 large ideals: 28384
  161. Tue Jul 14 11:56:34 2020 relations with 1 large ideals: 10404
  162. Tue Jul 14 11:56:34 2020 relations with 2 large ideals: 149536
  163. Tue Jul 14 11:56:34 2020 relations with 3 large ideals: 1000337
  164. Tue Jul 14 11:56:34 2020 relations with 4 large ideals: 3625558
  165. Tue Jul 14 11:56:34 2020 relations with 5 large ideals: 7856460
  166. Tue Jul 14 11:56:34 2020 relations with 6 large ideals: 10657157
  167. Tue Jul 14 11:56:34 2020 relations with 7+ large ideals: 16698778
  168. Tue Jul 14 11:56:34 2020 commencing 2-way merge
  169. Tue Jul 14 11:56:58 2020 reduce to 26823997 relation sets and 25960491 unique ideals
  170. Tue Jul 14 11:56:58 2020 commencing full merge
  171. Tue Jul 14 12:17:51 2020 memory use: 1202.8 MB
  172. Tue Jul 14 12:17:51 2020 found 74825 cycles, need 5738601
  173. Tue Jul 14 12:17:51 2020 too few cycles, matrix probably cannot build
  174. Tue Jul 14 12:56:13 2020
  175. Tue Jul 14 12:56:13 2020
  176. Tue Jul 14 12:56:13 2020 Msieve v. 1.53 (SVN 988M)
  177. Tue Jul 14 12:56:13 2020 random seeds: ed6d0736 c7c68dd0
  178. Tue Jul 14 12:56:13 2020 factoring 198597512519787418971707751679034340185362323955552237609725988408008994509819845432021807869323108269320875858734654797071694336228128855939826321232221483275039377727560592316095740323138396201 (195 digits)
  179. Tue Jul 14 12:56:14 2020 searching for 15-digit factors
  180. Tue Jul 14 12:56:15 2020 commencing number field sieve (195-digit input)
  181. Tue Jul 14 12:56:15 2020 R0: 97453656071460446110921078004886769746621
  182. Tue Jul 14 12:56:15 2020 R1: 1
  183. Tue Jul 14 12:56:15 2020 A0: 1
  184. Tue Jul 14 12:56:15 2020 A1: 0
  185. Tue Jul 14 12:56:15 2020 A2: 0
  186. Tue Jul 14 12:56:15 2020 A3: 0
  187. Tue Jul 14 12:56:15 2020 A4: 0
  188. Tue Jul 14 12:56:15 2020 A5: 0
  189. Tue Jul 14 12:56:15 2020 A6: 441
  190. Tue Jul 14 12:56:15 2020 skew 1.00, size 2.791e-12, alpha 0.009, combined = 2.462e-13 rroots = 0
  191. Tue Jul 14 12:56:15 2020
  192. Tue Jul 14 12:56:15 2020 commencing relation filtering
  193. Tue Jul 14 12:56:15 2020 setting target matrix density to 120.0
  194. Tue Jul 14 12:56:15 2020 estimated available RAM is 32768.0 MB
  195. Tue Jul 14 12:56:15 2020 commencing duplicate removal, pass 1
  196. Tue Jul 14 13:00:15 2020 error -1 reading relation 36361014
  197. Tue Jul 14 13:00:51 2020 error -1 reading relation 41851291
  198. Tue Jul 14 13:00:51 2020 error -1 reading relation 41851292
  199. Tue Jul 14 13:00:52 2020 error -1 reading relation 41851293
  200. Tue Jul 14 13:00:59 2020 error -1 reading relation 42976824
  201. Tue Jul 14 13:00:59 2020 error -1 reading relation 42976825
  202. Tue Jul 14 13:00:59 2020 error -1 reading relation 42976826
  203. Tue Jul 14 13:00:59 2020 error -1 reading relation 42976827
  204. Tue Jul 14 13:00:59 2020 error -1 reading relation 42976828
  205. Tue Jul 14 13:01:07 2020 error -1 reading relation 44154076
  206. Tue Jul 14 13:01:07 2020 error -1 reading relation 44154077
  207. Tue Jul 14 13:01:07 2020 error -5 reading relation 44154078
  208. Tue Jul 14 13:04:27 2020 error -1 reading relation 74080098
  209. Tue Jul 14 13:04:27 2020 error -1 reading relation 74080099
  210. Tue Jul 14 13:06:08 2020 error -1 reading relation 89319108
  211. Tue Jul 14 13:06:08 2020 error -1 reading relation 89319109
  212. Tue Jul 14 13:06:08 2020 error -1 reading relation 89319110
  213. Tue Jul 14 13:06:40 2020 error -1 reading relation 94166502
  214. Tue Jul 14 13:06:40 2020 error -1 reading relation 94166503
  215. Tue Jul 14 13:07:58 2020 error -15 reading relation 105782414
  216. Tue Jul 14 13:09:22 2020 error -1 reading relation 118266314
  217. Tue Jul 14 13:09:22 2020 error -1 reading relation 118266315
  218. Tue Jul 14 13:09:37 2020 error -1 reading relation 120538772
  219. Tue Jul 14 13:10:30 2020 error -1 reading relation 128335067
  220. Tue Jul 14 13:11:29 2020 error -15 reading relation 137123811
  221. Tue Jul 14 13:16:26 2020 error -1 reading relation 181359998
  222. Tue Jul 14 13:17:33 2020 error -15 reading relation 191393394
  223. Tue Jul 14 13:17:35 2020 error -15 reading relation 191595478
  224. Tue Jul 14 13:17:35 2020 error -15 reading relation 191657013
  225. Tue Jul 14 13:17:35 2020 error -15 reading relation 191671407
  226. Tue Jul 14 13:18:00 2020 error -5 reading relation 195409973
  227. Tue Jul 14 13:19:37 2020 skipped 520 relations with b > 2^32
  228. Tue Jul 14 13:19:37 2020 skipped 2 relations with composite factors
  229. Tue Jul 14 13:19:37 2020 found 9492930 hash collisions in 208467211 relations
  230. Tue Jul 14 13:19:46 2020 commencing duplicate removal, pass 2
  231. Tue Jul 14 13:28:09 2020 found 0 duplicates and 208467211 unique relations
  232. Tue Jul 14 13:28:09 2020 memory use: 522.4 MB
  233. Tue Jul 14 13:28:09 2020 reading ideals above 180551680
  234. Tue Jul 14 13:28:09 2020 commencing singleton removal, initial pass
  235. Tue Jul 14 13:45:33 2020 memory use: 3012.0 MB
  236. Tue Jul 14 13:45:34 2020 reading all ideals from disk
  237. Tue Jul 14 13:46:58 2020 memory use: 3625.1 MB
  238. Tue Jul 14 13:47:06 2020 commencing in-memory singleton removal
  239. Tue Jul 14 13:47:13 2020 begin with 208467211 relations and 163323491 unique ideals
  240. Tue Jul 14 13:48:45 2020 reduce to 149514095 relations and 99405062 ideals in 13 passes
  241. Tue Jul 14 13:48:45 2020 max relations containing the same ideal: 42
  242. Tue Jul 14 13:49:03 2020 reading ideals above 720000
  243. Tue Jul 14 13:49:03 2020 commencing singleton removal, initial pass
  244. Tue Jul 14 14:06:23 2020 memory use: 3012.0 MB
  245. Tue Jul 14 14:06:23 2020 reading all ideals from disk
  246. Tue Jul 14 14:08:40 2020 memory use: 5939.4 MB
  247. Tue Jul 14 14:08:54 2020 keeping 118772176 ideals with weight <= 200, target excess is 744401
  248. Tue Jul 14 14:09:09 2020 commencing in-memory singleton removal
  249. Tue Jul 14 14:09:20 2020 begin with 149514095 relations and 118772176 unique ideals
  250. Tue Jul 14 14:10:47 2020 reduce to 149512159 relations and 118770240 ideals in 7 passes
  251. Tue Jul 14 14:10:47 2020 max relations containing the same ideal: 200
  252. Tue Jul 14 14:11:46 2020 removing 10367288 relations and 8367288 ideals in 2000000 cliques
  253. Tue Jul 14 14:11:50 2020 commencing in-memory singleton removal
  254. Tue Jul 14 14:12:00 2020 begin with 139144871 relations and 118770240 unique ideals
  255. Tue Jul 14 14:13:30 2020 reduce to 138550540 relations and 109797985 ideals in 8 passes
  256. Tue Jul 14 14:13:30 2020 max relations containing the same ideal: 197
  257. Tue Jul 14 14:14:24 2020 removing 7986751 relations and 5986751 ideals in 2000000 cliques
  258. Tue Jul 14 14:14:28 2020 commencing in-memory singleton removal
  259. Tue Jul 14 14:14:37 2020 begin with 130563789 relations and 109797985 unique ideals
  260. Tue Jul 14 14:16:03 2020 reduce to 130166497 relations and 103407903 ideals in 8 passes
  261. Tue Jul 14 14:16:03 2020 max relations containing the same ideal: 193
  262. Tue Jul 14 14:16:56 2020 removing 7280286 relations and 5280286 ideals in 2000000 cliques
  263. Tue Jul 14 14:17:00 2020 commencing in-memory singleton removal
  264. Tue Jul 14 14:17:09 2020 begin with 122886211 relations and 103407903 unique ideals
  265. Tue Jul 14 14:18:28 2020 reduce to 122538494 relations and 97774579 ideals in 8 passes
  266. Tue Jul 14 14:18:28 2020 max relations containing the same ideal: 188
  267. Tue Jul 14 14:19:18 2020 removing 6923672 relations and 4923672 ideals in 2000000 cliques
  268. Tue Jul 14 14:19:21 2020 commencing in-memory singleton removal
  269. Tue Jul 14 14:19:29 2020 begin with 115614822 relations and 97774579 unique ideals
  270. Tue Jul 14 14:20:33 2020 reduce to 115290830 relations and 92521716 ideals in 7 passes
  271. Tue Jul 14 14:20:33 2020 max relations containing the same ideal: 179
  272. Tue Jul 14 14:21:19 2020 removing 6704553 relations and 4704553 ideals in 2000000 cliques
  273. Tue Jul 14 14:21:22 2020 commencing in-memory singleton removal
  274. Tue Jul 14 14:21:29 2020 begin with 108586277 relations and 92521716 unique ideals
  275. Tue Jul 14 14:22:21 2020 reduce to 108270653 relations and 87496400 ideals in 6 passes
  276. Tue Jul 14 14:22:21 2020 max relations containing the same ideal: 175
  277. Tue Jul 14 14:23:06 2020 removing 6557913 relations and 4557913 ideals in 2000000 cliques
  278. Tue Jul 14 14:23:09 2020 commencing in-memory singleton removal
  279. Tue Jul 14 14:23:16 2020 begin with 101712740 relations and 87496400 unique ideals
  280. Tue Jul 14 14:24:05 2020 reduce to 101396965 relations and 82617278 ideals in 6 passes
  281. Tue Jul 14 14:24:05 2020 max relations containing the same ideal: 171
  282. Tue Jul 14 14:24:47 2020 removing 6459377 relations and 4459377 ideals in 2000000 cliques
  283. Tue Jul 14 14:24:50 2020 commencing in-memory singleton removal
  284. Tue Jul 14 14:24:57 2020 begin with 94937588 relations and 82617278 unique ideals
  285. Tue Jul 14 14:25:50 2020 reduce to 94619029 relations and 77833664 ideals in 7 passes
  286. Tue Jul 14 14:25:50 2020 max relations containing the same ideal: 164
  287. Tue Jul 14 14:26:30 2020 removing 6390841 relations and 4390841 ideals in 2000000 cliques
  288. Tue Jul 14 14:26:33 2020 commencing in-memory singleton removal
  289. Tue Jul 14 14:26:39 2020 begin with 88228188 relations and 77833664 unique ideals
  290. Tue Jul 14 14:27:28 2020 reduce to 87901136 relations and 73109582 ideals in 7 passes
  291. Tue Jul 14 14:27:28 2020 max relations containing the same ideal: 154
  292. Tue Jul 14 14:28:06 2020 removing 6346924 relations and 4346924 ideals in 2000000 cliques
  293. Tue Jul 14 14:28:08 2020 commencing in-memory singleton removal
  294. Tue Jul 14 14:28:14 2020 begin with 81554212 relations and 73109582 unique ideals
  295. Tue Jul 14 14:28:58 2020 reduce to 81212050 relations and 68413674 ideals in 7 passes
  296. Tue Jul 14 14:28:58 2020 max relations containing the same ideal: 144
  297. Tue Jul 14 14:29:31 2020 removing 6322693 relations and 4322693 ideals in 2000000 cliques
  298. Tue Jul 14 14:29:33 2020 commencing in-memory singleton removal
  299. Tue Jul 14 14:29:38 2020 begin with 74889357 relations and 68413674 unique ideals
  300. Tue Jul 14 14:30:18 2020 reduce to 74529796 relations and 63723630 ideals in 7 passes
  301. Tue Jul 14 14:30:18 2020 max relations containing the same ideal: 137
  302. Tue Jul 14 14:30:49 2020 removing 6320347 relations and 4320347 ideals in 2000000 cliques
  303. Tue Jul 14 14:30:52 2020 commencing in-memory singleton removal
  304. Tue Jul 14 14:30:56 2020 begin with 68209449 relations and 63723630 unique ideals
  305. Tue Jul 14 14:31:33 2020 reduce to 67822734 relations and 59007422 ideals in 7 passes
  306. Tue Jul 14 14:31:33 2020 max relations containing the same ideal: 128
  307. Tue Jul 14 14:32:03 2020 removing 6327863 relations and 4327863 ideals in 2000000 cliques
  308. Tue Jul 14 14:32:05 2020 commencing in-memory singleton removal
  309. Tue Jul 14 14:32:09 2020 begin with 61494871 relations and 59007422 unique ideals
  310. Tue Jul 14 14:32:42 2020 reduce to 61073435 relations and 54247490 ideals in 7 passes
  311. Tue Jul 14 14:32:42 2020 max relations containing the same ideal: 118
  312. Tue Jul 14 14:33:09 2020 removing 6354865 relations and 4354865 ideals in 2000000 cliques
  313. Tue Jul 14 14:33:12 2020 commencing in-memory singleton removal
  314. Tue Jul 14 14:33:15 2020 begin with 54718570 relations and 54247490 unique ideals
  315. Tue Jul 14 14:33:44 2020 reduce to 54245818 relations and 49406590 ideals in 7 passes
  316. Tue Jul 14 14:33:44 2020 max relations containing the same ideal: 112
  317. Tue Jul 14 14:34:08 2020 removing 6403594 relations and 4403594 ideals in 2000000 cliques
  318. Tue Jul 14 14:34:10 2020 commencing in-memory singleton removal
  319. Tue Jul 14 14:34:13 2020 begin with 47842224 relations and 49406590 unique ideals
  320. Tue Jul 14 14:34:42 2020 reduce to 47299723 relations and 44443391 ideals in 8 passes
  321. Tue Jul 14 14:34:42 2020 max relations containing the same ideal: 97
  322. Tue Jul 14 14:35:03 2020 removing 6459796 relations and 4466970 ideals in 1992826 cliques
  323. Tue Jul 14 14:35:06 2020 commencing in-memory singleton removal
  324. Tue Jul 14 14:35:08 2020 begin with 40839927 relations and 44443391 unique ideals
  325. Tue Jul 14 14:35:32 2020 reduce to 40189060 relations and 39302189 ideals in 8 passes
  326. Tue Jul 14 14:35:32 2020 max relations containing the same ideal: 88
  327. Tue Jul 14 14:35:50 2020 removing 161991 relations and 138626 ideals in 23365 cliques
  328. Tue Jul 14 14:35:51 2020 commencing in-memory singleton removal
  329. Tue Jul 14 14:35:54 2020 begin with 40027069 relations and 39302189 unique ideals
  330. Tue Jul 14 14:36:06 2020 reduce to 40026614 relations and 39163108 ideals in 4 passes
  331. Tue Jul 14 14:36:06 2020 max relations containing the same ideal: 88
  332. Tue Jul 14 14:36:12 2020 relations with 0 large ideals: 28384
  333. Tue Jul 14 14:36:12 2020 relations with 1 large ideals: 10404
  334. Tue Jul 14 14:36:12 2020 relations with 2 large ideals: 149536
  335. Tue Jul 14 14:36:12 2020 relations with 3 large ideals: 1000337
  336. Tue Jul 14 14:36:12 2020 relations with 4 large ideals: 3625558
  337. Tue Jul 14 14:36:12 2020 relations with 5 large ideals: 7856460
  338. Tue Jul 14 14:36:12 2020 relations with 6 large ideals: 10657157
  339. Tue Jul 14 14:36:12 2020 relations with 7+ large ideals: 16698778
  340. Tue Jul 14 14:36:12 2020 commencing 2-way merge
  341. Tue Jul 14 14:36:35 2020 reduce to 26823997 relation sets and 25960491 unique ideals
  342. Tue Jul 14 14:36:35 2020 commencing full merge
  343. Tue Jul 14 14:47:49 2020 memory use: 3375.2 MB
  344. Tue Jul 14 14:47:56 2020 found 11923225 cycles, need 11912691
  345. Tue Jul 14 14:47:57 2020 weight of 11912691 cycles is about 1430134263 (120.05/cycle)
  346. Tue Jul 14 14:47:57 2020 distribution of cycle lengths:
  347. Tue Jul 14 14:47:57 2020 1 relations: 505874
  348. Tue Jul 14 14:47:57 2020 2 relations: 709604
  349. Tue Jul 14 14:47:57 2020 3 relations: 830743
  350. Tue Jul 14 14:47:57 2020 4 relations: 859097
  351. Tue Jul 14 14:47:57 2020 5 relations: 884175
  352. Tue Jul 14 14:47:57 2020 6 relations: 874429
  353. Tue Jul 14 14:47:57 2020 7 relations: 858110
  354. Tue Jul 14 14:47:57 2020 8 relations: 817446
  355. Tue Jul 14 14:47:57 2020 9 relations: 768604
  356. Tue Jul 14 14:47:57 2020 10+ relations: 4804609
  357. Tue Jul 14 14:47:57 2020 heaviest cycle: 28 relations
  358. Tue Jul 14 14:48:04 2020 commencing cycle optimization
  359. Tue Jul 14 14:48:35 2020 start with 107000633 relations
  360. Tue Jul 14 14:54:12 2020 pruned 5189833 relations
  361. Tue Jul 14 14:54:13 2020 memory use: 2763.2 MB
  362. Tue Jul 14 14:54:13 2020 distribution of cycle lengths:
  363. Tue Jul 14 14:54:13 2020 1 relations: 505874
  364. Tue Jul 14 14:54:13 2020 2 relations: 727851
  365. Tue Jul 14 14:54:13 2020 3 relations: 867153
  366. Tue Jul 14 14:54:13 2020 4 relations: 896992
  367. Tue Jul 14 14:54:13 2020 5 relations: 931304
  368. Tue Jul 14 14:54:13 2020 6 relations: 918714
  369. Tue Jul 14 14:54:13 2020 7 relations: 904609
  370. Tue Jul 14 14:54:13 2020 8 relations: 859087
  371. Tue Jul 14 14:54:13 2020 9 relations: 806567
  372. Tue Jul 14 14:54:13 2020 10+ relations: 4494540
  373. Tue Jul 14 14:54:13 2020 heaviest cycle: 28 relations
  374. Tue Jul 14 14:54:55 2020 RelProcTime: 7120
  375. Tue Jul 14 14:54:55 2020
  376. Tue Jul 14 14:54:55 2020 commencing linear algebra
  377. Tue Jul 14 14:54:57 2020 read 11912691 cycles
  378. Tue Jul 14 14:55:25 2020 cycles contain 39563549 unique relations
  379. Tue Jul 14 15:03:54 2020 read 39563549 relations
  380. Tue Jul 14 15:05:33 2020 using 20 quadratic characters above 4294917295
  381. Tue Jul 14 15:08:05 2020 building initial matrix
  382. Tue Jul 14 15:16:41 2020 memory use: 5089.8 MB
  383. Tue Jul 14 15:18:59 2020 read 11912691 cycles
  384. Tue Jul 14 15:19:01 2020 matrix is 11912514 x 11912691 (5569.6 MB) with weight 1610088747 (135.16/col)
  385. Tue Jul 14 15:19:01 2020 sparse part has weight 1329005707 (111.56/col)
  386. Tue Jul 14 15:21:16 2020 filtering completed in 2 passes
  387. Tue Jul 14 15:21:18 2020 matrix is 11912409 x 11912586 (5569.6 MB) with weight 1610084824 (135.16/col)
  388. Tue Jul 14 15:21:18 2020 sparse part has weight 1329004301 (111.56/col)
  389. Tue Jul 14 15:23:58 2020 matrix starts at (0, 0)
  390. Tue Jul 14 15:23:59 2020 matrix is 11912409 x 11912586 (5569.6 MB) with weight 1610084824 (135.16/col)
  391. Tue Jul 14 15:23:59 2020 sparse part has weight 1329004301 (111.56/col)
  392. Tue Jul 14 15:24:00 2020 saving the first 48 matrix rows for later
  393. Tue Jul 14 15:24:01 2020 matrix includes 64 packed rows
  394. Tue Jul 14 15:24:02 2020 matrix is 11912361 x 11912586 (5362.3 MB) with weight 1384526660 (116.22/col)
  395. Tue Jul 14 15:24:02 2020 sparse part has weight 1286576182 (108.00/col)
  396. Tue Jul 14 15:24:02 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  397. Tue Jul 14 15:25:16 2020 commencing Lanczos iteration (16 threads)
  398. Tue Jul 14 15:25:16 2020 memory use: 4575.4 MB
  399. Tue Jul 14 15:25:35 2020 linear algebra at 0.0%, ETA 39h10m
  400. Tue Jul 14 15:25:42 2020 checkpointing every 300000 dimensions
  401. Tue Jul 14 15:33:06 2020 lanczos halted after 616 iterations (dim = 38950)
  402. Tue Jul 14 15:33:09 2020 BLanczosTime: 2294
  403. Tue Jul 14 15:33:09 2020
  404. Tue Jul 14 15:33:09 2020 commencing square root phase
  405. Tue Jul 14 15:33:09 2020 handling dependencies 1 to 64
  406. Tue Jul 14 15:33:09 2020 reading relations for dependency 1
  407. Tue Jul 14 15:33:09 2020 error: read_cycles can't open dependency file
  408. Tue Jul 14 15:40:16 2020
  409. Tue Jul 14 15:40:16 2020
  410. Tue Jul 14 15:40:16 2020 Msieve v. 1.53 (SVN 988M)
  411. Tue Jul 14 15:40:16 2020 random seeds: 0ec27328 8c3539e0
  412. Tue Jul 14 15:40:16 2020 factoring 198597512519787418971707751679034340185362323955552237609725988408008994509819845432021807869323108269320875858734654797071694336228128855939826321232221483275039377727560592316095740323138396201 (195 digits)
  413. Tue Jul 14 15:40:16 2020 searching for 15-digit factors
  414. Tue Jul 14 15:40:17 2020 commencing number field sieve (195-digit input)
  415. Tue Jul 14 15:40:17 2020 R0: 97453656071460446110921078004886769746621
  416. Tue Jul 14 15:40:17 2020 R1: 1
  417. Tue Jul 14 15:40:17 2020 A0: 1
  418. Tue Jul 14 15:40:17 2020 A1: 0
  419. Tue Jul 14 15:40:17 2020 A2: 0
  420. Tue Jul 14 15:40:17 2020 A3: 0
  421. Tue Jul 14 15:40:17 2020 A4: 0
  422. Tue Jul 14 15:40:17 2020 A5: 0
  423. Tue Jul 14 15:40:17 2020 A6: 441
  424. Tue Jul 14 15:40:17 2020 skew 1.00, size 2.791e-12, alpha 0.009, combined = 2.462e-13 rroots = 0
  425. Tue Jul 14 15:40:17 2020
  426. Tue Jul 14 15:40:17 2020 commencing linear algebra
  427. Tue Jul 14 15:40:41 2020 matrix starts at (0, 0)
  428. Tue Jul 14 15:40:42 2020 matrix is 11912409 x 11912586 (5569.6 MB) with weight 1610084824 (135.16/col)
  429. Tue Jul 14 15:40:42 2020 sparse part has weight 1329004301 (111.56/col)
  430. Tue Jul 14 15:40:42 2020 saving the first 48 matrix rows for later
  431. Tue Jul 14 15:40:43 2020 matrix includes 64 packed rows
  432. Tue Jul 14 15:40:45 2020 matrix is 11912361 x 11912586 (5362.3 MB) with weight 1384526660 (116.22/col)
  433. Tue Jul 14 15:40:45 2020 sparse part has weight 1286576182 (108.00/col)
  434. Tue Jul 14 15:40:45 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  435. Tue Jul 14 15:41:49 2020 commencing Lanczos iteration (16 threads)
  436. Tue Jul 14 15:41:49 2020 memory use: 4575.4 MB
  437. Tue Jul 14 15:41:49 2020 restarting at iteration 616 (dim = 38950)
  438. Tue Jul 14 15:41:59 2020 checkpointing every 390000 dimensions
  439. Tue Jul 14 15:42:02 2020 linear algebra at 0.3%, ETA 28h12m
  440. Wed Jul 15 20:27:12 2020 lanczos halted after 188383 iterations (dim = 11912359)
  441. Wed Jul 15 20:27:23 2020 recovered 40 nontrivial dependencies
  442. Wed Jul 15 20:27:27 2020 BLanczosTime: 103630
  443. Wed Jul 15 20:27:27 2020
  444. Wed Jul 15 20:27:27 2020 commencing square root phase
  445. Wed Jul 15 20:27:27 2020 reading relations for dependency 1
  446. Wed Jul 15 20:27:37 2020 read 5955833 cycles
  447. Wed Jul 15 20:27:50 2020 cycles contain 19783302 unique relations
  448. Wed Jul 15 20:36:26 2020 read 19783302 relations
  449. Wed Jul 15 20:37:44 2020 multiplying 19783302 relations
  450. Wed Jul 15 20:51:18 2020 multiply complete, coefficients have about 655.52 million bits
  451. Wed Jul 15 20:51:20 2020 initial square root is modulo 760411
  452. Wed Jul 15 21:05:11 2020 sqrtTime: 2264
  453. Wed Jul 15 21:05:11 2020 p85 factor: 1141053339188399112342239641207991370688125363608504159522476134656977611427585609049
  454. Wed Jul 15 21:05:11 2020 p111 factor: 174047527577496549677723634570098671421334514299807428213065915009006783813074439466556022995658372020421607249
  455. Wed Jul 15 21:05:11 2020 elapsed time 29:24:55
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