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12p5_266 linear algebra log

fivemack Mar 14th, 2019 63 Never
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  1. Tue Mar 12 23:38:14 2019  
  2. Tue Mar 12 23:38:14 2019  
  3. Tue Mar 12 23:38:14 2019  Msieve v. 1.53 (SVN 993)
  4. Tue Mar 12 23:38:14 2019  random seeds: 04108082 d173b094
  5. Tue Mar 12 23:38:14 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  6. Tue Mar 12 23:38:15 2019  no P-1/P+1/ECM available, skipping
  7. Tue Mar 12 23:38:15 2019  commencing number field sieve (181-digit input)
  8. Tue Mar 12 23:38:15 2019  R0: 102067469997853225734913580209377959215104
  9. Tue Mar 12 23:38:15 2019  R1: -363797880709171295166015625
  10. Tue Mar 12 23:38:15 2019  A0: 1
  11. Tue Mar 12 23:38:15 2019  A1: -1
  12. Tue Mar 12 23:38:15 2019  A2: 1
  13. Tue Mar 12 23:38:15 2019  A3: -1
  14. Tue Mar 12 23:38:15 2019  A4: 1
  15. Tue Mar 12 23:38:15 2019  A5: -1
  16. Tue Mar 12 23:38:15 2019  A6: 1
  17. Tue Mar 12 23:38:15 2019  skew 1.00, size 3.733e-12, alpha 2.428, combined = 3.090e-13 rroots = 0
  18. Tue Mar 12 23:38:15 2019  
  19. Tue Mar 12 23:38:15 2019  commencing relation filtering
  20. Tue Mar 12 23:38:15 2019  setting target matrix density to 70.0
  21. Tue Mar 12 23:38:15 2019  estimated available RAM is 32094.0 MB
  22. Tue Mar 12 23:38:15 2019  commencing duplicate removal, pass 1
  23.   5073 errors
  24. Wed Mar 13 00:01:22 2019  skipped 4409 relations with composite factors
  25. Wed Mar 13 00:01:22 2019  found 9458119 hash collisions in 208007075 relations
  26. Wed Mar 13 00:01:29 2019  added 2438534 free relations
  27. Wed Mar 13 00:01:29 2019  commencing duplicate removal, pass 2
  28. Wed Mar 13 00:02:13 2019  found 0 duplicates and 210445609 unique relations
  29. Wed Mar 13 00:02:13 2019  memory use: 522.4 MB
  30. Wed Mar 13 00:02:13 2019  reading ideals above 152633344
  31. Wed Mar 13 00:02:13 2019  commencing singleton removal, initial pass
  32. Wed Mar 13 00:19:47 2019  memory use: 3012.0 MB
  33. Wed Mar 13 00:19:47 2019  reading all ideals from disk
  34. Wed Mar 13 00:19:50 2019  memory use: 3706.8 MB
  35. Wed Mar 13 00:19:59 2019  commencing in-memory singleton removal
  36. Wed Mar 13 00:20:08 2019  begin with 210445609 relations and 162759223 unique ideals
  37. Wed Mar 13 00:21:38 2019  reduce to 148340642 relations and 95172032 ideals in 13 passes
  38. Wed Mar 13 00:21:38 2019  max relations containing the same ideal: 60
  39. Wed Mar 13 00:21:46 2019  reading ideals above 720000
  40. Wed Mar 13 00:21:46 2019  commencing singleton removal, initial pass
  41. Wed Mar 13 00:37:39 2019  memory use: 3012.0 MB
  42. Wed Mar 13 00:37:39 2019  reading all ideals from disk
  43. Wed Mar 13 00:37:56 2019  memory use: 5839.8 MB
  44. Wed Mar 13 00:38:15 2019  keeping 111579328 ideals with weight <= 200, target excess is 760242
  45. Wed Mar 13 00:38:36 2019  commencing in-memory singleton removal
  46. Wed Mar 13 00:38:51 2019  begin with 148340642 relations and 111579328 unique ideals
  47. Wed Mar 13 00:40:23 2019  reduce to 148340390 relations and 111579076 ideals in 6 passes
  48. Wed Mar 13 00:40:23 2019  max relations containing the same ideal: 200
  49. Wed Mar 13 00:41:33 2019  removing 9871735 relations and 7871735 ideals in 2000000 cliques
  50. Wed Mar 13 00:41:37 2019  commencing in-memory singleton removal
  51. Wed Mar 13 00:41:49 2019  begin with 138468655 relations and 111579076 unique ideals
  52. Wed Mar 13 00:43:43 2019  reduce to 137982717 relations and 103212956 ideals in 9 passes
  53. Wed Mar 13 00:43:43 2019  max relations containing the same ideal: 198
  54. Wed Mar 13 00:44:42 2019  removing 7537228 relations and 5537228 ideals in 2000000 cliques
  55. Wed Mar 13 00:44:46 2019  commencing in-memory singleton removal
  56. Wed Mar 13 00:44:57 2019  begin with 130445489 relations and 103212956 unique ideals
  57. Wed Mar 13 00:46:20 2019  reduce to 130121085 relations and 97346444 ideals in 7 passes
  58. Wed Mar 13 00:46:20 2019  max relations containing the same ideal: 192
  59. Wed Mar 13 00:47:16 2019  removing 6856970 relations and 4856970 ideals in 2000000 cliques
  60. Wed Mar 13 00:47:19 2019  commencing in-memory singleton removal
  61. Wed Mar 13 00:47:28 2019  begin with 123264115 relations and 97346444 unique ideals
  62. Wed Mar 13 00:48:27 2019  reduce to 122984018 relations and 92205258 ideals in 6 passes
  63. Wed Mar 13 00:48:27 2019  max relations containing the same ideal: 186
  64. Wed Mar 13 00:49:15 2019  removing 6501364 relations and 4501364 ideals in 2000000 cliques
  65. Wed Mar 13 00:49:18 2019  commencing in-memory singleton removal
  66. Wed Mar 13 00:49:27 2019  begin with 116482654 relations and 92205258 unique ideals
  67. Wed Mar 13 00:50:31 2019  reduce to 116225175 relations and 87442529 ideals in 7 passes
  68. Wed Mar 13 00:50:31 2019  max relations containing the same ideal: 179
  69. Wed Mar 13 00:51:16 2019  removing 6272210 relations and 4272210 ideals in 2000000 cliques
  70. Wed Mar 13 00:51:19 2019  commencing in-memory singleton removal
  71. Wed Mar 13 00:51:27 2019  begin with 109952965 relations and 87442529 unique ideals
  72. Wed Mar 13 00:52:18 2019  reduce to 109709814 relations and 82923255 ideals in 6 passes
  73. Wed Mar 13 00:52:18 2019  max relations containing the same ideal: 174
  74. Wed Mar 13 00:53:01 2019  removing 6111596 relations and 4111596 ideals in 2000000 cliques
  75. Wed Mar 13 00:53:04 2019  commencing in-memory singleton removal
  76. Wed Mar 13 00:53:11 2019  begin with 103598218 relations and 82923255 unique ideals
  77. Wed Mar 13 00:53:58 2019  reduce to 103361157 relations and 78570752 ideals in 6 passes
  78. Wed Mar 13 00:53:58 2019  max relations containing the same ideal: 170
  79. Wed Mar 13 00:54:36 2019  removing 5989827 relations and 3989827 ideals in 2000000 cliques
  80. Wed Mar 13 00:54:39 2019  commencing in-memory singleton removal
  81. Wed Mar 13 00:54:45 2019  begin with 97371330 relations and 78570752 unique ideals
  82. Wed Mar 13 00:55:26 2019  reduce to 97137733 relations and 74343160 ideals in 6 passes
  83. Wed Mar 13 00:55:26 2019  max relations containing the same ideal: 162
  84. Wed Mar 13 00:56:02 2019  removing 5892570 relations and 3892570 ideals in 2000000 cliques
  85. Wed Mar 13 00:56:04 2019  commencing in-memory singleton removal
  86. Wed Mar 13 00:56:10 2019  begin with 91245163 relations and 74343160 unique ideals
  87. Wed Mar 13 00:56:48 2019  reduce to 91011795 relations and 70212769 ideals in 6 passes
  88. Wed Mar 13 00:56:48 2019  max relations containing the same ideal: 154
  89. Wed Mar 13 00:57:22 2019  removing 5814800 relations and 3814800 ideals in 2000000 cliques
  90. Wed Mar 13 00:57:24 2019  commencing in-memory singleton removal
  91. Wed Mar 13 00:57:29 2019  begin with 85196995 relations and 70212769 unique ideals
  92. Wed Mar 13 00:58:10 2019  reduce to 84959736 relations and 66156155 ideals in 7 passes
  93. Wed Mar 13 00:58:10 2019  max relations containing the same ideal: 148
  94. Wed Mar 13 00:58:41 2019  removing 5749471 relations and 3749471 ideals in 2000000 cliques
  95. Wed Mar 13 00:58:43 2019  commencing in-memory singleton removal
  96. Wed Mar 13 00:58:48 2019  begin with 79210265 relations and 66156155 unique ideals
  97. Wed Mar 13 00:59:25 2019  reduce to 78969458 relations and 62160763 ideals in 7 passes
  98. Wed Mar 13 00:59:25 2019  max relations containing the same ideal: 143
  99. Wed Mar 13 00:59:54 2019  removing 5699878 relations and 3699878 ideals in 2000000 cliques
  100. Wed Mar 13 00:59:56 2019  commencing in-memory singleton removal
  101. Wed Mar 13 01:00:00 2019  begin with 73269580 relations and 62160763 unique ideals
  102. Wed Mar 13 01:00:29 2019  reduce to 73021263 relations and 58206964 ideals in 6 passes
  103. Wed Mar 13 01:00:29 2019  max relations containing the same ideal: 135
  104. Wed Mar 13 01:00:56 2019  removing 5656916 relations and 3656916 ideals in 2000000 cliques
  105. Wed Mar 13 01:00:58 2019  commencing in-memory singleton removal
  106. Wed Mar 13 01:01:02 2019  begin with 67364347 relations and 58206964 unique ideals
  107. Wed Mar 13 01:01:33 2019  reduce to 67106019 relations and 54285527 ideals in 7 passes
  108. Wed Mar 13 01:01:33 2019  max relations containing the same ideal: 129
  109. Wed Mar 13 01:01:57 2019  removing 5622294 relations and 3622294 ideals in 2000000 cliques
  110. Wed Mar 13 01:01:59 2019  commencing in-memory singleton removal
  111. Wed Mar 13 01:02:03 2019  begin with 61483725 relations and 54285527 unique ideals
  112. Wed Mar 13 01:02:26 2019  reduce to 61210910 relations and 50383247 ideals in 6 passes
  113. Wed Mar 13 01:02:26 2019  max relations containing the same ideal: 121
  114. Wed Mar 13 01:02:48 2019  removing 5593474 relations and 3593474 ideals in 2000000 cliques
  115. Wed Mar 13 01:02:50 2019  commencing in-memory singleton removal
  116. Wed Mar 13 01:02:53 2019  begin with 55617436 relations and 50383247 unique ideals
  117. Wed Mar 13 01:03:14 2019  reduce to 55323668 relations and 46487769 ideals in 6 passes
  118. Wed Mar 13 01:03:14 2019  max relations containing the same ideal: 111
  119. Wed Mar 13 01:03:34 2019  removing 5573953 relations and 3573953 ideals in 2000000 cliques
  120. Wed Mar 13 01:03:36 2019  commencing in-memory singleton removal
  121. Wed Mar 13 01:03:39 2019  begin with 49749715 relations and 46487769 unique ideals
  122. Wed Mar 13 01:03:57 2019  reduce to 49426235 relations and 42580442 ideals in 6 passes
  123. Wed Mar 13 01:03:57 2019  max relations containing the same ideal: 103
  124. Wed Mar 13 01:04:15 2019  removing 5570874 relations and 3570874 ideals in 2000000 cliques
  125. Wed Mar 13 01:04:16 2019  commencing in-memory singleton removal
  126. Wed Mar 13 01:04:19 2019  begin with 43855361 relations and 42580442 unique ideals
  127. Wed Mar 13 01:04:35 2019  reduce to 43488476 relations and 38629977 ideals in 6 passes
  128. Wed Mar 13 01:04:35 2019  max relations containing the same ideal: 95
  129. Wed Mar 13 01:04:50 2019  removing 5588253 relations and 3588253 ideals in 2000000 cliques
  130. Wed Mar 13 01:04:52 2019  commencing in-memory singleton removal
  131. Wed Mar 13 01:04:54 2019  begin with 37900223 relations and 38629977 unique ideals
  132. Wed Mar 13 01:05:10 2019  reduce to 37461228 relations and 34585712 ideals in 7 passes
  133. Wed Mar 13 01:05:10 2019  max relations containing the same ideal: 86
  134. Wed Mar 13 01:05:24 2019  removing 5637183 relations and 3643548 ideals in 1993635 cliques
  135. Wed Mar 13 01:05:25 2019  commencing in-memory singleton removal
  136. Wed Mar 13 01:05:27 2019  begin with 31824045 relations and 34585712 unique ideals
  137. Wed Mar 13 01:05:40 2019  reduce to 31261762 relations and 30354975 ideals in 7 passes
  138. Wed Mar 13 01:05:40 2019  max relations containing the same ideal: 74
  139. Wed Mar 13 01:05:51 2019  removing 144439 relations and 119533 ideals in 24906 cliques
  140. Wed Mar 13 01:05:52 2019  commencing in-memory singleton removal
  141. Wed Mar 13 01:05:54 2019  begin with 31117323 relations and 30354975 unique ideals
  142. Wed Mar 13 01:06:05 2019  reduce to 31116718 relations and 30234836 ideals in 6 passes
  143. Wed Mar 13 01:06:05 2019  max relations containing the same ideal: 74
  144. Wed Mar 13 01:06:10 2019  relations with 0 large ideals: 58076
  145. Wed Mar 13 01:06:10 2019  relations with 1 large ideals: 16274
  146. Wed Mar 13 01:06:10 2019  relations with 2 large ideals: 185613
  147. Wed Mar 13 01:06:10 2019  relations with 3 large ideals: 1109667
  148. Wed Mar 13 01:06:10 2019  relations with 4 large ideals: 3566322
  149. Wed Mar 13 01:06:10 2019  relations with 5 large ideals: 6818907
  150. Wed Mar 13 01:06:10 2019  relations with 6 large ideals: 8155076
  151. Wed Mar 13 01:06:10 2019  relations with 7+ large ideals: 11206783
  152. Wed Mar 13 01:06:10 2019  commencing 2-way merge
  153. Wed Mar 13 01:06:24 2019  reduce to 21757528 relation sets and 20875646 unique ideals
  154. Wed Mar 13 01:06:24 2019  commencing full merge
  155. Wed Mar 13 01:10:24 2019  memory use: 2557.7 MB
  156. Wed Mar 13 01:10:26 2019  found 11582928 cycles, need 11461846
  157. Wed Mar 13 01:10:29 2019  weight of 11461846 cycles is about 802408567 (70.01/cycle)
  158. Wed Mar 13 01:10:29 2019  distribution of cycle lengths:
  159. Wed Mar 13 01:10:29 2019  1 relations: 1056409
  160. Wed Mar 13 01:10:29 2019  2 relations: 1316769
  161. Wed Mar 13 01:10:29 2019  3 relations: 1458612
  162. Wed Mar 13 01:10:29 2019  4 relations: 1449294
  163. Wed Mar 13 01:10:29 2019  5 relations: 1369658
  164. Wed Mar 13 01:10:29 2019  6 relations: 1198161
  165. Wed Mar 13 01:10:29 2019  7 relations: 991356
  166. Wed Mar 13 01:10:29 2019  8 relations: 774829
  167. Wed Mar 13 01:10:29 2019  9 relations: 581870
  168. Wed Mar 13 01:10:29 2019  10+ relations: 1264888
  169. Wed Mar 13 01:10:29 2019  heaviest cycle: 20 relations
  170. Wed Mar 13 01:10:32 2019  commencing cycle optimization
  171. Wed Mar 13 01:10:45 2019  start with 60964671 relations
  172. Wed Mar 13 01:11:51 2019  pruned 1845015 relations
  173. Wed Mar 13 01:11:52 2019  memory use: 1927.9 MB
  174. Wed Mar 13 01:11:52 2019  distribution of cycle lengths:
  175. Wed Mar 13 01:11:52 2019  1 relations: 1056409
  176. Wed Mar 13 01:11:52 2019  2 relations: 1344360
  177. Wed Mar 13 01:11:52 2019  3 relations: 1516134
  178. Wed Mar 13 01:11:52 2019  4 relations: 1499543
  179. Wed Mar 13 01:11:52 2019  5 relations: 1421954
  180. Wed Mar 13 01:11:52 2019  6 relations: 1229323
  181. Wed Mar 13 01:11:52 2019  7 relations: 1005871
  182. Wed Mar 13 01:11:52 2019  8 relations: 765135
  183. Wed Mar 13 01:11:52 2019  9 relations: 559105
  184. Wed Mar 13 01:11:52 2019  10+ relations: 1064012
  185. Wed Mar 13 01:11:52 2019  heaviest cycle: 20 relations
  186. Wed Mar 13 01:12:04 2019  RelProcTime: 5629
  187. Wed Mar 13 01:12:09 2019  elapsed time 01:33:55
  188. Wed Mar 13 01:12:09 2019  
  189. Wed Mar 13 01:12:09 2019  
  190. Wed Mar 13 01:12:09 2019  Msieve v. 1.53 (SVN 993)
  191. Wed Mar 13 01:12:09 2019  random seeds: fbb4347a be3ec08a
  192. Wed Mar 13 01:12:09 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  193. Wed Mar 13 01:12:10 2019  no P-1/P+1/ECM available, skipping
  194. Wed Mar 13 01:12:10 2019  commencing number field sieve (181-digit input)
  195. Wed Mar 13 01:12:10 2019  R0: 102067469997853225734913580209377959215104
  196. Wed Mar 13 01:12:10 2019  R1: -363797880709171295166015625
  197. Wed Mar 13 01:12:10 2019  A0: 1
  198. Wed Mar 13 01:12:10 2019  A1: -1
  199. Wed Mar 13 01:12:10 2019  A2: 1
  200. Wed Mar 13 01:12:10 2019  A3: -1
  201. Wed Mar 13 01:12:10 2019  A4: 1
  202. Wed Mar 13 01:12:10 2019  A5: -1
  203. Wed Mar 13 01:12:10 2019  A6: 1
  204. Wed Mar 13 01:12:10 2019  skew 1.00, size 3.733e-12, alpha 2.428, combined = 3.090e-13 rroots = 0
  205. Wed Mar 13 01:12:10 2019  
  206. Wed Mar 13 01:12:10 2019  commencing relation filtering
  207. Wed Mar 13 01:12:10 2019  setting target matrix density to 134.0
  208. Wed Mar 13 01:12:10 2019  estimated available RAM is 32094.0 MB
  209. Wed Mar 13 01:12:10 2019  commencing duplicate removal, pass 1
  210.   5073 errors
  211. Wed Mar 13 01:36:28 2019  skipped 4409 relations with composite factors
  212. Wed Mar 13 01:36:28 2019  found 9672713 hash collisions in 210445609 relations
  213. Wed Mar 13 01:36:28 2019  commencing duplicate removal, pass 2
  214. Wed Mar 13 01:37:11 2019  found 0 duplicates and 210445609 unique relations
  215. Wed Mar 13 01:37:11 2019  memory use: 522.4 MB
  216. Wed Mar 13 01:37:11 2019  reading ideals above 152633344
  217. Wed Mar 13 01:37:11 2019  commencing singleton removal, initial pass
  218. Wed Mar 13 01:54:45 2019  memory use: 3012.0 MB
  219. Wed Mar 13 01:54:45 2019  reading all ideals from disk
  220. Wed Mar 13 01:54:48 2019  memory use: 3706.8 MB
  221. Wed Mar 13 01:54:57 2019  commencing in-memory singleton removal
  222. Wed Mar 13 01:55:06 2019  begin with 210445609 relations and 162759223 unique ideals
  223. Wed Mar 13 01:56:37 2019  reduce to 148340642 relations and 95172032 ideals in 13 passes
  224. Wed Mar 13 01:56:37 2019  max relations containing the same ideal: 60
  225. Wed Mar 13 01:56:45 2019  reading ideals above 720000
  226. Wed Mar 13 01:56:45 2019  commencing singleton removal, initial pass
  227. Wed Mar 13 02:12:42 2019  memory use: 3012.0 MB
  228. Wed Mar 13 02:12:42 2019  reading all ideals from disk
  229. Wed Mar 13 02:12:59 2019  memory use: 5839.8 MB
  230. Wed Mar 13 02:13:18 2019  keeping 111579328 ideals with weight <= 200, target excess is 760242
  231. Wed Mar 13 02:13:38 2019  commencing in-memory singleton removal
  232. Wed Mar 13 02:13:54 2019  begin with 148340642 relations and 111579328 unique ideals
  233. Wed Mar 13 02:15:25 2019  reduce to 148340390 relations and 111579076 ideals in 6 passes
  234. Wed Mar 13 02:15:25 2019  max relations containing the same ideal: 200
  235. Wed Mar 13 02:16:36 2019  removing 9871735 relations and 7871735 ideals in 2000000 cliques
  236. Wed Mar 13 02:16:39 2019  commencing in-memory singleton removal
  237. Wed Mar 13 02:16:52 2019  begin with 138468655 relations and 111579076 unique ideals
  238. Wed Mar 13 02:18:46 2019  reduce to 137982717 relations and 103212956 ideals in 9 passes
  239. Wed Mar 13 02:18:46 2019  max relations containing the same ideal: 198
  240. Wed Mar 13 02:19:45 2019  removing 7537228 relations and 5537228 ideals in 2000000 cliques
  241. Wed Mar 13 02:19:48 2019  commencing in-memory singleton removal
  242. Wed Mar 13 02:20:00 2019  begin with 130445489 relations and 103212956 unique ideals
  243. Wed Mar 13 02:21:23 2019  reduce to 130121085 relations and 97346444 ideals in 7 passes
  244. Wed Mar 13 02:21:23 2019  max relations containing the same ideal: 192
  245. Wed Mar 13 02:22:19 2019  removing 6856970 relations and 4856970 ideals in 2000000 cliques
  246. Wed Mar 13 02:22:22 2019  commencing in-memory singleton removal
  247. Wed Mar 13 02:22:33 2019  begin with 123264115 relations and 97346444 unique ideals
  248. Wed Mar 13 02:23:39 2019  reduce to 122984018 relations and 92205258 ideals in 6 passes
  249. Wed Mar 13 02:23:39 2019  max relations containing the same ideal: 186
  250. Wed Mar 13 02:24:32 2019  removing 6501364 relations and 4501364 ideals in 2000000 cliques
  251. Wed Mar 13 02:24:35 2019  commencing in-memory singleton removal
  252. Wed Mar 13 02:24:45 2019  begin with 116482654 relations and 92205258 unique ideals
  253. Wed Mar 13 02:25:58 2019  reduce to 116225175 relations and 87442529 ideals in 7 passes
  254. Wed Mar 13 02:25:58 2019  max relations containing the same ideal: 179
  255. Wed Mar 13 02:26:48 2019  removing 6272210 relations and 4272210 ideals in 2000000 cliques
  256. Wed Mar 13 02:26:51 2019  commencing in-memory singleton removal
  257. Wed Mar 13 02:27:00 2019  begin with 109952965 relations and 87442529 unique ideals
  258. Wed Mar 13 02:27:58 2019  reduce to 109709814 relations and 82923255 ideals in 6 passes
  259. Wed Mar 13 02:27:58 2019  max relations containing the same ideal: 174
  260. Wed Mar 13 02:28:46 2019  removing 6111596 relations and 4111596 ideals in 2000000 cliques
  261. Wed Mar 13 02:28:49 2019  commencing in-memory singleton removal
  262. Wed Mar 13 02:28:57 2019  begin with 103598218 relations and 82923255 unique ideals
  263. Wed Mar 13 02:29:50 2019  reduce to 103361157 relations and 78570752 ideals in 6 passes
  264. Wed Mar 13 02:29:50 2019  max relations containing the same ideal: 170
  265. Wed Mar 13 02:30:33 2019  removing 5989827 relations and 3989827 ideals in 2000000 cliques
  266. Wed Mar 13 02:30:35 2019  commencing in-memory singleton removal
  267. Wed Mar 13 02:30:43 2019  begin with 97371330 relations and 78570752 unique ideals
  268. Wed Mar 13 02:31:32 2019  reduce to 97137733 relations and 74343160 ideals in 6 passes
  269. Wed Mar 13 02:31:32 2019  max relations containing the same ideal: 162
  270. Wed Mar 13 02:32:12 2019  removing 5892570 relations and 3892570 ideals in 2000000 cliques
  271. Wed Mar 13 02:32:15 2019  commencing in-memory singleton removal
  272. Wed Mar 13 02:32:22 2019  begin with 91245163 relations and 74343160 unique ideals
  273. Wed Mar 13 02:33:08 2019  reduce to 91011795 relations and 70212769 ideals in 6 passes
  274. Wed Mar 13 02:33:08 2019  max relations containing the same ideal: 154
  275. Wed Mar 13 02:33:45 2019  removing 5814800 relations and 3814800 ideals in 2000000 cliques
  276. Wed Mar 13 02:33:48 2019  commencing in-memory singleton removal
  277. Wed Mar 13 02:33:54 2019  begin with 85196995 relations and 70212769 unique ideals
  278. Wed Mar 13 02:34:42 2019  reduce to 84959736 relations and 66156155 ideals in 7 passes
  279. Wed Mar 13 02:34:42 2019  max relations containing the same ideal: 148
  280. Wed Mar 13 02:35:17 2019  removing 5749471 relations and 3749471 ideals in 2000000 cliques
  281. Wed Mar 13 02:35:19 2019  commencing in-memory singleton removal
  282. Wed Mar 13 02:35:25 2019  begin with 79210265 relations and 66156155 unique ideals
  283. Wed Mar 13 02:36:07 2019  reduce to 78969458 relations and 62160763 ideals in 7 passes
  284. Wed Mar 13 02:36:07 2019  max relations containing the same ideal: 143
  285. Wed Mar 13 02:36:39 2019  removing 5699878 relations and 3699878 ideals in 2000000 cliques
  286. Wed Mar 13 02:36:41 2019  commencing in-memory singleton removal
  287. Wed Mar 13 02:36:46 2019  begin with 73269580 relations and 62160763 unique ideals
  288. Wed Mar 13 02:37:20 2019  reduce to 73021263 relations and 58206964 ideals in 6 passes
  289. Wed Mar 13 02:37:20 2019  max relations containing the same ideal: 135
  290. Wed Mar 13 02:37:49 2019  removing 5656916 relations and 3656916 ideals in 2000000 cliques
  291. Wed Mar 13 02:37:51 2019  commencing in-memory singleton removal
  292. Wed Mar 13 02:37:56 2019  begin with 67364347 relations and 58206964 unique ideals
  293. Wed Mar 13 02:38:31 2019  reduce to 67106019 relations and 54285527 ideals in 7 passes
  294. Wed Mar 13 02:38:31 2019  max relations containing the same ideal: 129
  295. Wed Mar 13 02:38:57 2019  removing 5622294 relations and 3622294 ideals in 2000000 cliques
  296. Wed Mar 13 02:38:59 2019  commencing in-memory singleton removal
  297. Wed Mar 13 02:39:04 2019  begin with 61483725 relations and 54285527 unique ideals
  298. Wed Mar 13 02:39:31 2019  reduce to 61210910 relations and 50383247 ideals in 6 passes
  299. Wed Mar 13 02:39:31 2019  max relations containing the same ideal: 121
  300. Wed Mar 13 02:39:55 2019  removing 5593474 relations and 3593474 ideals in 2000000 cliques
  301. Wed Mar 13 02:39:57 2019  commencing in-memory singleton removal
  302. Wed Mar 13 02:40:00 2019  begin with 55617436 relations and 50383247 unique ideals
  303. Wed Mar 13 02:40:21 2019  reduce to 55323668 relations and 46487769 ideals in 6 passes
  304. Wed Mar 13 02:40:21 2019  max relations containing the same ideal: 111
  305. Wed Mar 13 02:40:41 2019  removing 5573953 relations and 3573953 ideals in 2000000 cliques
  306. Wed Mar 13 02:40:43 2019  commencing in-memory singleton removal
  307. Wed Mar 13 02:40:46 2019  begin with 49749715 relations and 46487769 unique ideals
  308. Wed Mar 13 02:41:04 2019  reduce to 49426235 relations and 42580442 ideals in 6 passes
  309. Wed Mar 13 02:41:04 2019  max relations containing the same ideal: 103
  310. Wed Mar 13 02:41:21 2019  removing 5570874 relations and 3570874 ideals in 2000000 cliques
  311. Wed Mar 13 02:41:23 2019  commencing in-memory singleton removal
  312. Wed Mar 13 02:41:26 2019  begin with 43855361 relations and 42580442 unique ideals
  313. Wed Mar 13 02:41:42 2019  reduce to 43488476 relations and 38629977 ideals in 6 passes
  314. Wed Mar 13 02:41:42 2019  max relations containing the same ideal: 95
  315. Wed Mar 13 02:41:57 2019  removing 5588253 relations and 3588253 ideals in 2000000 cliques
  316. Wed Mar 13 02:41:59 2019  commencing in-memory singleton removal
  317. Wed Mar 13 02:42:01 2019  begin with 37900223 relations and 38629977 unique ideals
  318. Wed Mar 13 02:42:17 2019  reduce to 37461228 relations and 34585712 ideals in 7 passes
  319. Wed Mar 13 02:42:17 2019  max relations containing the same ideal: 86
  320. Wed Mar 13 02:42:30 2019  removing 5637183 relations and 3643548 ideals in 1993635 cliques
  321. Wed Mar 13 02:42:32 2019  commencing in-memory singleton removal
  322. Wed Mar 13 02:42:34 2019  begin with 31824045 relations and 34585712 unique ideals
  323. Wed Mar 13 02:42:47 2019  reduce to 31261762 relations and 30354975 ideals in 7 passes
  324. Wed Mar 13 02:42:47 2019  max relations containing the same ideal: 74
  325. Wed Mar 13 02:42:58 2019  removing 144439 relations and 119533 ideals in 24906 cliques
  326. Wed Mar 13 02:42:59 2019  commencing in-memory singleton removal
  327. Wed Mar 13 02:43:01 2019  begin with 31117323 relations and 30354975 unique ideals
  328. Wed Mar 13 02:43:12 2019  reduce to 31116718 relations and 30234836 ideals in 6 passes
  329. Wed Mar 13 02:43:12 2019  max relations containing the same ideal: 74
  330. Wed Mar 13 02:43:17 2019  relations with 0 large ideals: 58076
  331. Wed Mar 13 02:43:17 2019  relations with 1 large ideals: 16274
  332. Wed Mar 13 02:43:17 2019  relations with 2 large ideals: 185613
  333. Wed Mar 13 02:43:17 2019  relations with 3 large ideals: 1109667
  334. Wed Mar 13 02:43:17 2019  relations with 4 large ideals: 3566322
  335. Wed Mar 13 02:43:17 2019  relations with 5 large ideals: 6818907
  336. Wed Mar 13 02:43:17 2019  relations with 6 large ideals: 8155076
  337. Wed Mar 13 02:43:17 2019  relations with 7+ large ideals: 11206783
  338. Wed Mar 13 02:43:17 2019  commencing 2-way merge
  339. Wed Mar 13 02:43:30 2019  reduce to 21757528 relation sets and 20875646 unique ideals
  340. Wed Mar 13 02:43:30 2019  commencing full merge
  341. Wed Mar 13 02:56:05 2019  memory use: 970.2 MB
  342. Wed Mar 13 02:56:05 2019  found 95952 cycles, need 4736942
  343. Wed Mar 13 02:56:05 2019  too few cycles, matrix probably cannot build
  344. Wed Mar 13 02:56:06 2019  
  345. Wed Mar 13 02:56:06 2019  
  346. Wed Mar 13 02:56:06 2019  Msieve v. 1.53 (SVN 993)
  347. Wed Mar 13 02:56:06 2019  random seeds: b2fd9644 113eff7e
  348. Wed Mar 13 02:56:06 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  349. Wed Mar 13 02:56:06 2019  no P-1/P+1/ECM available, skipping
  350. Wed Mar 13 02:56:06 2019  commencing number field sieve (181-digit input)
  351. Wed Mar 13 02:56:06 2019  R0: 102067469997853225734913580209377959215104
  352. Wed Mar 13 02:56:06 2019  R1: -363797880709171295166015625
  353. Wed Mar 13 02:56:06 2019  A0: 1
  354. Wed Mar 13 02:56:06 2019  A1: -1
  355. Wed Mar 13 02:56:06 2019  A2: 1
  356. Wed Mar 13 02:56:06 2019  A3: -1
  357. Wed Mar 13 02:56:06 2019  A4: 1
  358. Wed Mar 13 02:56:06 2019  A5: -1
  359. Wed Mar 13 02:56:06 2019  A6: 1
  360. Wed Mar 13 02:56:06 2019  skew 1.00, size 3.733e-12, alpha 2.428, combined = 3.090e-13 rroots = 0
  361. Wed Mar 13 02:56:06 2019  
  362. Wed Mar 13 02:56:06 2019  commencing relation filtering
  363. Wed Mar 13 02:56:06 2019  setting target matrix density to 102.0
  364. Wed Mar 13 02:56:06 2019  estimated available RAM is 32094.0 MB
  365. Wed Mar 13 02:56:06 2019  commencing duplicate removal, pass 1
  366.   5073 errors
  367. Wed Mar 13 03:19:49 2019  skipped 4409 relations with composite factors
  368. Wed Mar 13 03:19:49 2019  found 9672713 hash collisions in 210445609 relations
  369. Wed Mar 13 03:19:49 2019  commencing duplicate removal, pass 2
  370. Wed Mar 13 03:20:32 2019  found 0 duplicates and 210445609 unique relations
  371. Wed Mar 13 03:20:32 2019  memory use: 522.4 MB
  372. Wed Mar 13 03:20:32 2019  reading ideals above 152633344
  373. Wed Mar 13 03:20:32 2019  commencing singleton removal, initial pass
  374. Wed Mar 13 03:38:04 2019  memory use: 3012.0 MB
  375. Wed Mar 13 03:38:04 2019  reading all ideals from disk
  376. Wed Mar 13 03:38:08 2019  memory use: 3706.8 MB
  377. Wed Mar 13 03:38:17 2019  commencing in-memory singleton removal
  378. Wed Mar 13 03:38:26 2019  begin with 210445609 relations and 162759223 unique ideals
  379. Wed Mar 13 03:39:56 2019  reduce to 148340642 relations and 95172032 ideals in 13 passes
  380. Wed Mar 13 03:39:56 2019  max relations containing the same ideal: 60
  381. Wed Mar 13 03:40:04 2019  reading ideals above 720000
  382. Wed Mar 13 03:40:04 2019  commencing singleton removal, initial pass
  383. Wed Mar 13 03:56:02 2019  memory use: 3012.0 MB
  384. Wed Mar 13 03:56:02 2019  reading all ideals from disk
  385. Wed Mar 13 03:56:18 2019  memory use: 5839.8 MB
  386. Wed Mar 13 03:56:37 2019  keeping 111579328 ideals with weight <= 200, target excess is 760242
  387. Wed Mar 13 03:56:57 2019  commencing in-memory singleton removal
  388. Wed Mar 13 03:57:13 2019  begin with 148340642 relations and 111579328 unique ideals
  389. Wed Mar 13 03:58:45 2019  reduce to 148340390 relations and 111579076 ideals in 6 passes
  390. Wed Mar 13 03:58:45 2019  max relations containing the same ideal: 200
  391. Wed Mar 13 03:59:56 2019  removing 9871735 relations and 7871735 ideals in 2000000 cliques
  392. Wed Mar 13 03:59:59 2019  commencing in-memory singleton removal
  393. Wed Mar 13 04:00:11 2019  begin with 138468655 relations and 111579076 unique ideals
  394. Wed Mar 13 04:02:05 2019  reduce to 137982717 relations and 103212956 ideals in 9 passes
  395. Wed Mar 13 04:02:05 2019  max relations containing the same ideal: 198
  396. Wed Mar 13 04:03:04 2019  removing 7537228 relations and 5537228 ideals in 2000000 cliques
  397. Wed Mar 13 04:03:07 2019  commencing in-memory singleton removal
  398. Wed Mar 13 04:03:19 2019  begin with 130445489 relations and 103212956 unique ideals
  399. Wed Mar 13 04:04:41 2019  reduce to 130121085 relations and 97346444 ideals in 7 passes
  400. Wed Mar 13 04:04:41 2019  max relations containing the same ideal: 192
  401. Wed Mar 13 04:05:37 2019  removing 6856970 relations and 4856970 ideals in 2000000 cliques
  402. Wed Mar 13 04:05:40 2019  commencing in-memory singleton removal
  403. Wed Mar 13 04:05:51 2019  begin with 123264115 relations and 97346444 unique ideals
  404. Wed Mar 13 04:06:58 2019  reduce to 122984018 relations and 92205258 ideals in 6 passes
  405. Wed Mar 13 04:06:58 2019  max relations containing the same ideal: 186
  406. Wed Mar 13 04:07:51 2019  removing 6501364 relations and 4501364 ideals in 2000000 cliques
  407. Wed Mar 13 04:07:54 2019  commencing in-memory singleton removal
  408. Wed Mar 13 04:08:04 2019  begin with 116482654 relations and 92205258 unique ideals
  409. Wed Mar 13 04:09:16 2019  reduce to 116225175 relations and 87442529 ideals in 7 passes
  410. Wed Mar 13 04:09:16 2019  max relations containing the same ideal: 179
  411. Wed Mar 13 04:10:06 2019  removing 6272210 relations and 4272210 ideals in 2000000 cliques
  412. Wed Mar 13 04:10:09 2019  commencing in-memory singleton removal
  413. Wed Mar 13 04:10:18 2019  begin with 109952965 relations and 87442529 unique ideals
  414. Wed Mar 13 04:11:16 2019  reduce to 109709814 relations and 82923255 ideals in 6 passes
  415. Wed Mar 13 04:11:16 2019  max relations containing the same ideal: 174
  416. Wed Mar 13 04:12:03 2019  removing 6111596 relations and 4111596 ideals in 2000000 cliques
  417. Wed Mar 13 04:12:06 2019  commencing in-memory singleton removal
  418. Wed Mar 13 04:12:14 2019  begin with 103598218 relations and 82923255 unique ideals
  419. Wed Mar 13 04:13:08 2019  reduce to 103361157 relations and 78570752 ideals in 6 passes
  420. Wed Mar 13 04:13:08 2019  max relations containing the same ideal: 170
  421. Wed Mar 13 04:13:52 2019  removing 5989827 relations and 3989827 ideals in 2000000 cliques
  422. Wed Mar 13 04:13:55 2019  commencing in-memory singleton removal
  423. Wed Mar 13 04:14:03 2019  begin with 97371330 relations and 78570752 unique ideals
  424. Wed Mar 13 04:14:53 2019  reduce to 97137733 relations and 74343160 ideals in 6 passes
  425. Wed Mar 13 04:14:53 2019  max relations containing the same ideal: 162
  426. Wed Mar 13 04:15:34 2019  removing 5892570 relations and 3892570 ideals in 2000000 cliques
  427. Wed Mar 13 04:15:37 2019  commencing in-memory singleton removal
  428. Wed Mar 13 04:15:44 2019  begin with 91245163 relations and 74343160 unique ideals
  429. Wed Mar 13 04:16:27 2019  reduce to 91011795 relations and 70212769 ideals in 6 passes
  430. Wed Mar 13 04:16:27 2019  max relations containing the same ideal: 154
  431. Wed Mar 13 04:17:04 2019  removing 5814800 relations and 3814800 ideals in 2000000 cliques
  432. Wed Mar 13 04:17:06 2019  commencing in-memory singleton removal
  433. Wed Mar 13 04:17:13 2019  begin with 85196995 relations and 70212769 unique ideals
  434. Wed Mar 13 04:18:01 2019  reduce to 84959736 relations and 66156155 ideals in 7 passes
  435. Wed Mar 13 04:18:01 2019  max relations containing the same ideal: 148
  436. Wed Mar 13 04:18:35 2019  removing 5749471 relations and 3749471 ideals in 2000000 cliques
  437. Wed Mar 13 04:18:38 2019  commencing in-memory singleton removal
  438. Wed Mar 13 04:18:44 2019  begin with 79210265 relations and 66156155 unique ideals
  439. Wed Mar 13 04:19:28 2019  reduce to 78969458 relations and 62160763 ideals in 7 passes
  440. Wed Mar 13 04:19:28 2019  max relations containing the same ideal: 143
  441. Wed Mar 13 04:20:00 2019  removing 5699878 relations and 3699878 ideals in 2000000 cliques
  442. Wed Mar 13 04:20:02 2019  commencing in-memory singleton removal
  443. Wed Mar 13 04:20:07 2019  begin with 73269580 relations and 62160763 unique ideals
  444. Wed Mar 13 04:20:41 2019  reduce to 73021263 relations and 58206964 ideals in 6 passes
  445. Wed Mar 13 04:20:41 2019  max relations containing the same ideal: 135
  446. Wed Mar 13 04:21:09 2019  removing 5656916 relations and 3656916 ideals in 2000000 cliques
  447. Wed Mar 13 04:21:11 2019  commencing in-memory singleton removal
  448. Wed Mar 13 04:21:16 2019  begin with 67364347 relations and 58206964 unique ideals
  449. Wed Mar 13 04:21:51 2019  reduce to 67106019 relations and 54285527 ideals in 7 passes
  450. Wed Mar 13 04:21:51 2019  max relations containing the same ideal: 129
  451. Wed Mar 13 04:22:17 2019  removing 5622294 relations and 3622294 ideals in 2000000 cliques
  452. Wed Mar 13 04:22:19 2019  commencing in-memory singleton removal
  453. Wed Mar 13 04:22:23 2019  begin with 61483725 relations and 54285527 unique ideals
  454. Wed Mar 13 04:22:51 2019  reduce to 61210910 relations and 50383247 ideals in 6 passes
  455. Wed Mar 13 04:22:51 2019  max relations containing the same ideal: 121
  456. Wed Mar 13 04:23:14 2019  removing 5593474 relations and 3593474 ideals in 2000000 cliques
  457. Wed Mar 13 04:23:16 2019  commencing in-memory singleton removal
  458. Wed Mar 13 04:23:20 2019  begin with 55617436 relations and 50383247 unique ideals
  459. Wed Mar 13 04:23:43 2019  reduce to 55323668 relations and 46487769 ideals in 6 passes
  460. Wed Mar 13 04:23:43 2019  max relations containing the same ideal: 111
  461. Wed Mar 13 04:24:03 2019  removing 5573953 relations and 3573953 ideals in 2000000 cliques
  462. Wed Mar 13 04:24:05 2019  commencing in-memory singleton removal
  463. Wed Mar 13 04:24:08 2019  begin with 49749715 relations and 46487769 unique ideals
  464. Wed Mar 13 04:24:26 2019  reduce to 49426235 relations and 42580442 ideals in 6 passes
  465. Wed Mar 13 04:24:26 2019  max relations containing the same ideal: 103
  466. Wed Mar 13 04:24:44 2019  removing 5570874 relations and 3570874 ideals in 2000000 cliques
  467. Wed Mar 13 04:24:45 2019  commencing in-memory singleton removal
  468. Wed Mar 13 04:24:48 2019  begin with 43855361 relations and 42580442 unique ideals
  469. Wed Mar 13 04:25:04 2019  reduce to 43488476 relations and 38629977 ideals in 6 passes
  470. Wed Mar 13 04:25:04 2019  max relations containing the same ideal: 95
  471. Wed Mar 13 04:25:19 2019  removing 5588253 relations and 3588253 ideals in 2000000 cliques
  472. Wed Mar 13 04:25:21 2019  commencing in-memory singleton removal
  473. Wed Mar 13 04:25:23 2019  begin with 37900223 relations and 38629977 unique ideals
  474. Wed Mar 13 04:25:39 2019  reduce to 37461228 relations and 34585712 ideals in 7 passes
  475. Wed Mar 13 04:25:39 2019  max relations containing the same ideal: 86
  476. Wed Mar 13 04:25:52 2019  removing 5637183 relations and 3643548 ideals in 1993635 cliques
  477. Wed Mar 13 04:25:54 2019  commencing in-memory singleton removal
  478. Wed Mar 13 04:25:56 2019  begin with 31824045 relations and 34585712 unique ideals
  479. Wed Mar 13 04:26:09 2019  reduce to 31261762 relations and 30354975 ideals in 7 passes
  480. Wed Mar 13 04:26:09 2019  max relations containing the same ideal: 74
  481. Wed Mar 13 04:26:20 2019  removing 144439 relations and 119533 ideals in 24906 cliques
  482. Wed Mar 13 04:26:21 2019  commencing in-memory singleton removal
  483. Wed Mar 13 04:26:23 2019  begin with 31117323 relations and 30354975 unique ideals
  484. Wed Mar 13 04:26:34 2019  reduce to 31116718 relations and 30234836 ideals in 6 passes
  485. Wed Mar 13 04:26:34 2019  max relations containing the same ideal: 74
  486. Wed Mar 13 04:26:39 2019  relations with 0 large ideals: 58076
  487. Wed Mar 13 04:26:39 2019  relations with 1 large ideals: 16274
  488. Wed Mar 13 04:26:39 2019  relations with 2 large ideals: 185613
  489. Wed Mar 13 04:26:39 2019  relations with 3 large ideals: 1109667
  490. Wed Mar 13 04:26:39 2019  relations with 4 large ideals: 3566322
  491. Wed Mar 13 04:26:39 2019  relations with 5 large ideals: 6818907
  492. Wed Mar 13 04:26:39 2019  relations with 6 large ideals: 8155076
  493. Wed Mar 13 04:26:39 2019  relations with 7+ large ideals: 11206783
  494. Wed Mar 13 04:26:39 2019  commencing 2-way merge
  495. Wed Mar 13 04:26:53 2019  reduce to 21757528 relation sets and 20875646 unique ideals
  496. Wed Mar 13 04:26:53 2019  commencing full merge
  497. Wed Mar 13 04:32:46 2019  memory use: 2711.4 MB
  498. Wed Mar 13 04:32:48 2019  found 10186359 cycles, need 10095846
  499. Wed Mar 13 04:32:51 2019  weight of 10095846 cycles is about 1030216947 (102.04/cycle)
  500. Wed Mar 13 04:32:51 2019  distribution of cycle lengths:
  501. Wed Mar 13 04:32:51 2019  1 relations: 467188
  502. Wed Mar 13 04:32:51 2019  2 relations: 662732
  503. Wed Mar 13 04:32:51 2019  3 relations: 806225
  504. Wed Mar 13 04:32:51 2019  4 relations: 863482
  505. Wed Mar 13 04:32:51 2019  5 relations: 896989
  506. Wed Mar 13 04:32:51 2019  6 relations: 888423
  507. Wed Mar 13 04:32:51 2019  7 relations: 848998
  508. Wed Mar 13 04:32:51 2019  8 relations: 781243
  509. Wed Mar 13 04:32:51 2019  9 relations: 699700
  510. Wed Mar 13 04:32:51 2019  10+ relations: 3180866
  511. Wed Mar 13 04:32:51 2019  heaviest cycle: 28 relations
  512. Wed Mar 13 04:32:54 2019  commencing cycle optimization
  513. Wed Mar 13 04:33:09 2019  start with 78717391 relations
  514. Wed Mar 13 04:35:20 2019  pruned 3671877 relations
  515. Wed Mar 13 04:35:21 2019  memory use: 2110.0 MB
  516. Wed Mar 13 04:35:21 2019  distribution of cycle lengths:
  517. Wed Mar 13 04:35:21 2019  1 relations: 467188
  518. Wed Mar 13 04:35:21 2019  2 relations: 679175
  519. Wed Mar 13 04:35:21 2019  3 relations: 842604
  520. Wed Mar 13 04:35:21 2019  4 relations: 903087
  521. Wed Mar 13 04:35:21 2019  5 relations: 948179
  522. Wed Mar 13 04:35:21 2019  6 relations: 936115
  523. Wed Mar 13 04:35:21 2019  7 relations: 896107
  524. Wed Mar 13 04:35:21 2019  8 relations: 816400
  525. Wed Mar 13 04:35:21 2019  9 relations: 725804
  526. Wed Mar 13 04:35:21 2019  10+ relations: 2881187
  527. Wed Mar 13 04:35:21 2019  heaviest cycle: 28 relations
  528. Wed Mar 13 04:35:38 2019  RelProcTime: 5972
  529. Wed Mar 13 04:35:38 2019  elapsed time 01:39:32
  530. Wed Mar 13 04:35:38 2019  
  531. Wed Mar 13 04:35:38 2019  
  532. Wed Mar 13 04:35:38 2019  Msieve v. 1.53 (SVN 993)
  533. Wed Mar 13 04:35:38 2019  random seeds: f81e8236 e7294a1c
  534. Wed Mar 13 04:35:38 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  535. Wed Mar 13 04:35:39 2019  no P-1/P+1/ECM available, skipping
  536. Wed Mar 13 04:35:39 2019  commencing number field sieve (181-digit input)
  537. Wed Mar 13 04:35:39 2019  R0: 102067469997853225734913580209377959215104
  538. Wed Mar 13 04:35:39 2019  R1: -363797880709171295166015625
  539. Wed Mar 13 04:35:39 2019  A0: 1
  540. Wed Mar 13 04:35:39 2019  A1: -1
  541. Wed Mar 13 04:35:39 2019  A2: 1
  542. Wed Mar 13 04:35:39 2019  A3: -1
  543. Wed Mar 13 04:35:39 2019  A4: 1
  544. Wed Mar 13 04:35:39 2019  A5: -1
  545. Wed Mar 13 04:35:39 2019  A6: 1
  546. Wed Mar 13 04:35:39 2019  skew 1.00, size 3.733e-12, alpha 2.428, combined = 3.090e-13 rroots = 0
  547. Wed Mar 13 04:35:39 2019  
  548. Wed Mar 13 04:35:39 2019  commencing relation filtering
  549. Wed Mar 13 04:35:39 2019  setting target matrix density to 118.0
  550. Wed Mar 13 04:35:39 2019  estimated available RAM is 32094.0 MB
  551. Wed Mar 13 04:35:39 2019  commencing duplicate removal, pass 1
  552.   5073 errors
  553. Wed Mar 13 04:59:24 2019  skipped 4409 relations with composite factors
  554. Wed Mar 13 04:59:24 2019  found 9672713 hash collisions in 210445609 relations
  555. Wed Mar 13 04:59:24 2019  commencing duplicate removal, pass 2
  556. Wed Mar 13 05:00:08 2019  found 0 duplicates and 210445609 unique relations
  557. Wed Mar 13 05:00:08 2019  memory use: 522.4 MB
  558. Wed Mar 13 05:00:08 2019  reading ideals above 152633344
  559. Wed Mar 13 05:00:08 2019  commencing singleton removal, initial pass
  560. Wed Mar 13 05:17:37 2019  memory use: 3012.0 MB
  561. Wed Mar 13 05:17:37 2019  reading all ideals from disk
  562. Wed Mar 13 05:17:41 2019  memory use: 3706.8 MB
  563. Wed Mar 13 05:17:50 2019  commencing in-memory singleton removal
  564. Wed Mar 13 05:17:59 2019  begin with 210445609 relations and 162759223 unique ideals
  565. Wed Mar 13 05:19:29 2019  reduce to 148340642 relations and 95172032 ideals in 13 passes
  566. Wed Mar 13 05:19:29 2019  max relations containing the same ideal: 60
  567. Wed Mar 13 05:19:37 2019  reading ideals above 720000
  568. Wed Mar 13 05:19:37 2019  commencing singleton removal, initial pass
  569. Wed Mar 13 05:35:30 2019  memory use: 3012.0 MB
  570. Wed Mar 13 05:35:30 2019  reading all ideals from disk
  571. Wed Mar 13 05:35:47 2019  memory use: 5839.8 MB
  572. Wed Mar 13 05:36:06 2019  keeping 111579328 ideals with weight <= 200, target excess is 760242
  573. Wed Mar 13 05:36:27 2019  commencing in-memory singleton removal
  574. Wed Mar 13 05:36:42 2019  begin with 148340642 relations and 111579328 unique ideals
  575. Wed Mar 13 05:38:13 2019  reduce to 148340390 relations and 111579076 ideals in 6 passes
  576. Wed Mar 13 05:38:13 2019  max relations containing the same ideal: 200
  577. Wed Mar 13 05:39:24 2019  removing 9871735 relations and 7871735 ideals in 2000000 cliques
  578. Wed Mar 13 05:39:28 2019  commencing in-memory singleton removal
  579. Wed Mar 13 05:39:40 2019  begin with 138468655 relations and 111579076 unique ideals
  580. Wed Mar 13 05:41:34 2019  reduce to 137982717 relations and 103212956 ideals in 9 passes
  581. Wed Mar 13 05:41:34 2019  max relations containing the same ideal: 198
  582. Wed Mar 13 05:42:33 2019  removing 7537228 relations and 5537228 ideals in 2000000 cliques
  583. Wed Mar 13 05:42:36 2019  commencing in-memory singleton removal
  584. Wed Mar 13 05:42:47 2019  begin with 130445489 relations and 103212956 unique ideals
  585. Wed Mar 13 05:44:09 2019  reduce to 130121085 relations and 97346444 ideals in 7 passes
  586. Wed Mar 13 05:44:09 2019  max relations containing the same ideal: 192
  587. Wed Mar 13 05:45:05 2019  removing 6856970 relations and 4856970 ideals in 2000000 cliques
  588. Wed Mar 13 05:45:08 2019  commencing in-memory singleton removal
  589. Wed Mar 13 05:45:19 2019  begin with 123264115 relations and 97346444 unique ideals
  590. Wed Mar 13 05:46:24 2019  reduce to 122984018 relations and 92205258 ideals in 6 passes
  591. Wed Mar 13 05:46:24 2019  max relations containing the same ideal: 186
  592. Wed Mar 13 05:47:17 2019  removing 6501364 relations and 4501364 ideals in 2000000 cliques
  593. Wed Mar 13 05:47:20 2019  commencing in-memory singleton removal
  594. Wed Mar 13 05:47:30 2019  begin with 116482654 relations and 92205258 unique ideals
  595. Wed Mar 13 05:48:43 2019  reduce to 116225175 relations and 87442529 ideals in 7 passes
  596. Wed Mar 13 05:48:43 2019  max relations containing the same ideal: 179
  597. Wed Mar 13 05:49:33 2019  removing 6272210 relations and 4272210 ideals in 2000000 cliques
  598. Wed Mar 13 05:49:36 2019  commencing in-memory singleton removal
  599. Wed Mar 13 05:49:44 2019  begin with 109952965 relations and 87442529 unique ideals
  600. Wed Mar 13 05:50:39 2019  reduce to 109709814 relations and 82923255 ideals in 6 passes
  601. Wed Mar 13 05:50:39 2019  max relations containing the same ideal: 174
  602. Wed Mar 13 05:51:24 2019  removing 6111596 relations and 4111596 ideals in 2000000 cliques
  603. Wed Mar 13 05:51:26 2019  commencing in-memory singleton removal
  604. Wed Mar 13 05:51:34 2019  begin with 103598218 relations and 82923255 unique ideals
  605. Wed Mar 13 05:52:25 2019  reduce to 103361157 relations and 78570752 ideals in 6 passes
  606. Wed Mar 13 05:52:25 2019  max relations containing the same ideal: 170
  607. Wed Mar 13 05:53:07 2019  removing 5989827 relations and 3989827 ideals in 2000000 cliques
  608. Wed Mar 13 05:53:09 2019  commencing in-memory singleton removal
  609. Wed Mar 13 05:53:17 2019  begin with 97371330 relations and 78570752 unique ideals
  610. Wed Mar 13 05:54:04 2019  reduce to 97137733 relations and 74343160 ideals in 6 passes
  611. Wed Mar 13 05:54:04 2019  max relations containing the same ideal: 162
  612. Wed Mar 13 05:54:43 2019  removing 5892570 relations and 3892570 ideals in 2000000 cliques
  613. Wed Mar 13 05:54:46 2019  commencing in-memory singleton removal
  614. Wed Mar 13 05:54:52 2019  begin with 91245163 relations and 74343160 unique ideals
  615. Wed Mar 13 05:55:34 2019  reduce to 91011795 relations and 70212769 ideals in 6 passes
  616. Wed Mar 13 05:55:34 2019  max relations containing the same ideal: 154
  617. Wed Mar 13 05:56:10 2019  removing 5814800 relations and 3814800 ideals in 2000000 cliques
  618. Wed Mar 13 05:56:12 2019  commencing in-memory singleton removal
  619. Wed Mar 13 05:56:19 2019  begin with 85196995 relations and 70212769 unique ideals
  620. Wed Mar 13 05:57:04 2019  reduce to 84959736 relations and 66156155 ideals in 7 passes
  621. Wed Mar 13 05:57:04 2019  max relations containing the same ideal: 148
  622. Wed Mar 13 05:57:37 2019  removing 5749471 relations and 3749471 ideals in 2000000 cliques
  623. Wed Mar 13 05:57:40 2019  commencing in-memory singleton removal
  624. Wed Mar 13 05:57:45 2019  begin with 79210265 relations and 66156155 unique ideals
  625. Wed Mar 13 05:58:27 2019  reduce to 78969458 relations and 62160763 ideals in 7 passes
  626. Wed Mar 13 05:58:27 2019  max relations containing the same ideal: 143
  627. Wed Mar 13 05:58:58 2019  removing 5699878 relations and 3699878 ideals in 2000000 cliques
  628. Wed Mar 13 05:59:00 2019  commencing in-memory singleton removal
  629. Wed Mar 13 05:59:05 2019  begin with 73269580 relations and 62160763 unique ideals
  630. Wed Mar 13 05:59:38 2019  reduce to 73021263 relations and 58206964 ideals in 6 passes
  631. Wed Mar 13 05:59:38 2019  max relations containing the same ideal: 135
  632. Wed Mar 13 06:00:07 2019  removing 5656916 relations and 3656916 ideals in 2000000 cliques
  633. Wed Mar 13 06:00:09 2019  commencing in-memory singleton removal
  634. Wed Mar 13 06:00:13 2019  begin with 67364347 relations and 58206964 unique ideals
  635. Wed Mar 13 06:00:47 2019  reduce to 67106019 relations and 54285527 ideals in 7 passes
  636. Wed Mar 13 06:00:47 2019  max relations containing the same ideal: 129
  637. Wed Mar 13 06:01:12 2019  removing 5622294 relations and 3622294 ideals in 2000000 cliques
  638. Wed Mar 13 06:01:14 2019  commencing in-memory singleton removal
  639. Wed Mar 13 06:01:18 2019  begin with 61483725 relations and 54285527 unique ideals
  640. Wed Mar 13 06:01:43 2019  reduce to 61210910 relations and 50383247 ideals in 6 passes
  641. Wed Mar 13 06:01:43 2019  max relations containing the same ideal: 121
  642. Wed Mar 13 06:02:06 2019  removing 5593474 relations and 3593474 ideals in 2000000 cliques
  643. Wed Mar 13 06:02:08 2019  commencing in-memory singleton removal
  644. Wed Mar 13 06:02:12 2019  begin with 55617436 relations and 50383247 unique ideals
  645. Wed Mar 13 06:02:35 2019  reduce to 55323668 relations and 46487769 ideals in 6 passes
  646. Wed Mar 13 06:02:35 2019  max relations containing the same ideal: 111
  647. Wed Mar 13 06:02:55 2019  removing 5573953 relations and 3573953 ideals in 2000000 cliques
  648. Wed Mar 13 06:02:57 2019  commencing in-memory singleton removal
  649. Wed Mar 13 06:03:00 2019  begin with 49749715 relations and 46487769 unique ideals
  650. Wed Mar 13 06:03:18 2019  reduce to 49426235 relations and 42580442 ideals in 6 passes
  651. Wed Mar 13 06:03:18 2019  max relations containing the same ideal: 103
  652. Wed Mar 13 06:03:36 2019  removing 5570874 relations and 3570874 ideals in 2000000 cliques
  653. Wed Mar 13 06:03:38 2019  commencing in-memory singleton removal
  654. Wed Mar 13 06:03:40 2019  begin with 43855361 relations and 42580442 unique ideals
  655. Wed Mar 13 06:03:56 2019  reduce to 43488476 relations and 38629977 ideals in 6 passes
  656. Wed Mar 13 06:03:56 2019  max relations containing the same ideal: 95
  657. Wed Mar 13 06:04:12 2019  removing 5588253 relations and 3588253 ideals in 2000000 cliques
  658. Wed Mar 13 06:04:13 2019  commencing in-memory singleton removal
  659. Wed Mar 13 06:04:16 2019  begin with 37900223 relations and 38629977 unique ideals
  660. Wed Mar 13 06:04:32 2019  reduce to 37461228 relations and 34585712 ideals in 7 passes
  661. Wed Mar 13 06:04:32 2019  max relations containing the same ideal: 86
  662. Wed Mar 13 06:04:45 2019  removing 5637183 relations and 3643548 ideals in 1993635 cliques
  663. Wed Mar 13 06:04:47 2019  commencing in-memory singleton removal
  664. Wed Mar 13 06:04:48 2019  begin with 31824045 relations and 34585712 unique ideals
  665. Wed Mar 13 06:05:02 2019  reduce to 31261762 relations and 30354975 ideals in 7 passes
  666. Wed Mar 13 06:05:02 2019  max relations containing the same ideal: 74
  667. Wed Mar 13 06:05:13 2019  removing 144439 relations and 119533 ideals in 24906 cliques
  668. Wed Mar 13 06:05:14 2019  commencing in-memory singleton removal
  669. Wed Mar 13 06:05:15 2019  begin with 31117323 relations and 30354975 unique ideals
  670. Wed Mar 13 06:05:27 2019  reduce to 31116718 relations and 30234836 ideals in 6 passes
  671. Wed Mar 13 06:05:27 2019  max relations containing the same ideal: 74
  672. Wed Mar 13 06:05:32 2019  relations with 0 large ideals: 58076
  673. Wed Mar 13 06:05:32 2019  relations with 1 large ideals: 16274
  674. Wed Mar 13 06:05:32 2019  relations with 2 large ideals: 185613
  675. Wed Mar 13 06:05:32 2019  relations with 3 large ideals: 1109667
  676. Wed Mar 13 06:05:32 2019  relations with 4 large ideals: 3566322
  677. Wed Mar 13 06:05:32 2019  relations with 5 large ideals: 6818907
  678. Wed Mar 13 06:05:32 2019  relations with 6 large ideals: 8155076
  679. Wed Mar 13 06:05:32 2019  relations with 7+ large ideals: 11206783
  680. Wed Mar 13 06:05:32 2019  commencing 2-way merge
  681. Wed Mar 13 06:05:45 2019  reduce to 21757528 relation sets and 20875646 unique ideals
  682. Wed Mar 13 06:05:45 2019  commencing full merge
  683. Wed Mar 13 06:12:30 2019  memory use: 2753.3 MB
  684. Wed Mar 13 06:12:32 2019  found 9690550 cycles, need 9659846
  685. Wed Mar 13 06:12:35 2019  weight of 9659846 cycles is about 1140360882 (118.05/cycle)
  686. Wed Mar 13 06:12:35 2019  distribution of cycle lengths:
  687. Wed Mar 13 06:12:35 2019  1 relations: 348105
  688. Wed Mar 13 06:12:35 2019  2 relations: 502377
  689. Wed Mar 13 06:12:35 2019  3 relations: 632433
  690. Wed Mar 13 06:12:35 2019  4 relations: 692379
  691. Wed Mar 13 06:12:35 2019  5 relations: 734120
  692. Wed Mar 13 06:12:35 2019  6 relations: 744735
  693. Wed Mar 13 06:12:35 2019  7 relations: 737127
  694. Wed Mar 13 06:12:35 2019  8 relations: 704673
  695. Wed Mar 13 06:12:35 2019  9 relations: 657711
  696. Wed Mar 13 06:12:35 2019  10+ relations: 3906186
  697. Wed Mar 13 06:12:35 2019  heaviest cycle: 28 relations
  698. Wed Mar 13 06:12:37 2019  commencing cycle optimization
  699. Wed Mar 13 06:12:54 2019  start with 87129505 relations
  700. Wed Mar 13 06:15:46 2019  pruned 4671255 relations
  701. Wed Mar 13 06:15:46 2019  memory use: 2191.5 MB
  702. Wed Mar 13 06:15:46 2019  distribution of cycle lengths:
  703. Wed Mar 13 06:15:46 2019  1 relations: 348105
  704. Wed Mar 13 06:15:46 2019  2 relations: 515372
  705. Wed Mar 13 06:15:46 2019  3 relations: 661241
  706. Wed Mar 13 06:15:46 2019  4 relations: 725480
  707. Wed Mar 13 06:15:46 2019  5 relations: 778735
  708. Wed Mar 13 06:15:46 2019  6 relations: 790050
  709. Wed Mar 13 06:15:46 2019  7 relations: 786347
  710. Wed Mar 13 06:15:46 2019  8 relations: 746320
  711. Wed Mar 13 06:15:46 2019  9 relations: 695357
  712. Wed Mar 13 06:15:46 2019  10+ relations: 3612839
  713. Wed Mar 13 06:15:46 2019  heaviest cycle: 28 relations
  714. Wed Mar 13 06:15:59 2019  RelProcTime: 6020
  715. Wed Mar 13 06:16:03 2019  elapsed time 01:40:25
  716. Wed Mar 13 06:16:03 2019  
  717. Wed Mar 13 06:16:03 2019  
  718. Wed Mar 13 06:16:03 2019  Msieve v. 1.53 (SVN 993)
  719. Wed Mar 13 06:16:03 2019  random seeds: a9a980a6 a67a56c8
  720. Wed Mar 13 06:16:03 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  721. Wed Mar 13 06:16:04 2019  no P-1/P+1/ECM available, skipping
  722. Wed Mar 13 06:16:04 2019  commencing number field sieve (181-digit input)
  723. Wed Mar 13 06:16:04 2019  R0: 102067469997853225734913580209377959215104
  724. Wed Mar 13 06:16:04 2019  R1: -363797880709171295166015625
  725. Wed Mar 13 06:16:04 2019  A0: 1
  726. Wed Mar 13 06:16:04 2019  A1: -1
  727. Wed Mar 13 06:16:04 2019  A2: 1
  728. Wed Mar 13 06:16:04 2019  A3: -1
  729. Wed Mar 13 06:16:04 2019  A4: 1
  730. Wed Mar 13 06:16:04 2019  A5: -1
  731. Wed Mar 13 06:16:04 2019  A6: 1
  732. Wed Mar 13 06:16:04 2019  skew 1.00, size 3.733e-12, alpha 2.428, combined = 3.090e-13 rroots = 0
  733. Wed Mar 13 06:16:04 2019  
  734. Wed Mar 13 06:16:04 2019  commencing relation filtering
  735. Wed Mar 13 06:16:04 2019  setting target matrix density to 126.0
  736. Wed Mar 13 06:16:04 2019  estimated available RAM is 32094.0 MB
  737. Wed Mar 13 06:16:04 2019  commencing duplicate removal, pass 1
  738.   5073 errors
  739. Wed Mar 13 06:39:53 2019  skipped 4409 relations with composite factors
  740. Wed Mar 13 06:39:53 2019  found 9672713 hash collisions in 210445609 relations
  741. Wed Mar 13 06:39:53 2019  commencing duplicate removal, pass 2
  742. Wed Mar 13 06:40:37 2019  found 0 duplicates and 210445609 unique relations
  743. Wed Mar 13 06:40:37 2019  memory use: 522.4 MB
  744. Wed Mar 13 06:40:37 2019  reading ideals above 152633344
  745. Wed Mar 13 06:40:37 2019  commencing singleton removal, initial pass
  746. Wed Mar 13 06:58:10 2019  memory use: 3012.0 MB
  747. Wed Mar 13 06:58:10 2019  reading all ideals from disk
  748. Wed Mar 13 06:58:13 2019  memory use: 3706.8 MB
  749. Wed Mar 13 06:58:23 2019  commencing in-memory singleton removal
  750. Wed Mar 13 06:58:31 2019  begin with 210445609 relations and 162759223 unique ideals
  751. Wed Mar 13 07:00:02 2019  reduce to 148340642 relations and 95172032 ideals in 13 passes
  752. Wed Mar 13 07:00:02 2019  max relations containing the same ideal: 60
  753. Wed Mar 13 07:00:10 2019  reading ideals above 720000
  754. Wed Mar 13 07:00:10 2019  commencing singleton removal, initial pass
  755. Wed Mar 13 07:16:00 2019  memory use: 3012.0 MB
  756. Wed Mar 13 07:16:00 2019  reading all ideals from disk
  757. Wed Mar 13 07:16:18 2019  memory use: 5839.8 MB
  758. Wed Mar 13 07:16:37 2019  keeping 111579328 ideals with weight <= 200, target excess is 760242
  759. Wed Mar 13 07:16:57 2019  commencing in-memory singleton removal
  760. Wed Mar 13 07:17:12 2019  begin with 148340642 relations and 111579328 unique ideals
  761. Wed Mar 13 07:18:43 2019  reduce to 148340390 relations and 111579076 ideals in 6 passes
  762. Wed Mar 13 07:18:43 2019  max relations containing the same ideal: 200
  763. Wed Mar 13 07:19:53 2019  removing 9871735 relations and 7871735 ideals in 2000000 cliques
  764. Wed Mar 13 07:19:56 2019  commencing in-memory singleton removal
  765. Wed Mar 13 07:20:08 2019  begin with 138468655 relations and 111579076 unique ideals
  766. Wed Mar 13 07:22:00 2019  reduce to 137982717 relations and 103212956 ideals in 9 passes
  767. Wed Mar 13 07:22:00 2019  max relations containing the same ideal: 198
  768. Wed Mar 13 07:22:59 2019  removing 7537228 relations and 5537228 ideals in 2000000 cliques
  769. Wed Mar 13 07:23:02 2019  commencing in-memory singleton removal
  770. Wed Mar 13 07:23:13 2019  begin with 130445489 relations and 103212956 unique ideals
  771. Wed Mar 13 07:24:31 2019  reduce to 130121085 relations and 97346444 ideals in 7 passes
  772. Wed Mar 13 07:24:31 2019  max relations containing the same ideal: 192
  773. Wed Mar 13 07:25:25 2019  removing 6856970 relations and 4856970 ideals in 2000000 cliques
  774. Wed Mar 13 07:25:28 2019  commencing in-memory singleton removal
  775. Wed Mar 13 07:25:38 2019  begin with 123264115 relations and 97346444 unique ideals
  776. Wed Mar 13 07:26:41 2019  reduce to 122984018 relations and 92205258 ideals in 6 passes
  777. Wed Mar 13 07:26:41 2019  max relations containing the same ideal: 186
  778. Wed Mar 13 07:27:32 2019  removing 6501364 relations and 4501364 ideals in 2000000 cliques
  779. Wed Mar 13 07:27:35 2019  commencing in-memory singleton removal
  780. Wed Mar 13 07:27:44 2019  begin with 116482654 relations and 92205258 unique ideals
  781. Wed Mar 13 07:28:53 2019  reduce to 116225175 relations and 87442529 ideals in 7 passes
  782. Wed Mar 13 07:28:53 2019  max relations containing the same ideal: 179
  783. Wed Mar 13 07:29:41 2019  removing 6272210 relations and 4272210 ideals in 2000000 cliques
  784. Wed Mar 13 07:29:44 2019  commencing in-memory singleton removal
  785. Wed Mar 13 07:29:53 2019  begin with 109952965 relations and 87442529 unique ideals
  786. Wed Mar 13 07:30:46 2019  reduce to 109709814 relations and 82923255 ideals in 6 passes
  787. Wed Mar 13 07:30:46 2019  max relations containing the same ideal: 174
  788. Wed Mar 13 07:31:30 2019  removing 6111596 relations and 4111596 ideals in 2000000 cliques
  789. Wed Mar 13 07:31:33 2019  commencing in-memory singleton removal
  790. Wed Mar 13 07:31:41 2019  begin with 103598218 relations and 82923255 unique ideals
  791. Wed Mar 13 07:32:30 2019  reduce to 103361157 relations and 78570752 ideals in 6 passes
  792. Wed Mar 13 07:32:30 2019  max relations containing the same ideal: 170
  793. Wed Mar 13 07:33:12 2019  removing 5989827 relations and 3989827 ideals in 2000000 cliques
  794. Wed Mar 13 07:33:15 2019  commencing in-memory singleton removal
  795. Wed Mar 13 07:33:22 2019  begin with 97371330 relations and 78570752 unique ideals
  796. Wed Mar 13 07:34:08 2019  reduce to 97137733 relations and 74343160 ideals in 6 passes
  797. Wed Mar 13 07:34:08 2019  max relations containing the same ideal: 162
  798. Wed Mar 13 07:34:47 2019  removing 5892570 relations and 3892570 ideals in 2000000 cliques
  799. Wed Mar 13 07:34:50 2019  commencing in-memory singleton removal
  800. Wed Mar 13 07:34:56 2019  begin with 91245163 relations and 74343160 unique ideals
  801. Wed Mar 13 07:35:35 2019  reduce to 91011795 relations and 70212769 ideals in 6 passes
  802. Wed Mar 13 07:35:35 2019  max relations containing the same ideal: 154
  803. Wed Mar 13 07:36:10 2019  removing 5814800 relations and 3814800 ideals in 2000000 cliques
  804. Wed Mar 13 07:36:12 2019  commencing in-memory singleton removal
  805. Wed Mar 13 07:36:18 2019  begin with 85196995 relations and 70212769 unique ideals
  806. Wed Mar 13 07:37:01 2019  reduce to 84959736 relations and 66156155 ideals in 7 passes
  807. Wed Mar 13 07:37:01 2019  max relations containing the same ideal: 148
  808. Wed Mar 13 07:37:33 2019  removing 5749471 relations and 3749471 ideals in 2000000 cliques
  809. Wed Mar 13 07:37:35 2019  commencing in-memory singleton removal
  810. Wed Mar 13 07:37:40 2019  begin with 79210265 relations and 66156155 unique ideals
  811. Wed Mar 13 07:38:20 2019  reduce to 78969458 relations and 62160763 ideals in 7 passes
  812. Wed Mar 13 07:38:20 2019  max relations containing the same ideal: 143
  813. Wed Mar 13 07:38:50 2019  removing 5699878 relations and 3699878 ideals in 2000000 cliques
  814. Wed Mar 13 07:38:52 2019  commencing in-memory singleton removal
  815. Wed Mar 13 07:38:56 2019  begin with 73269580 relations and 62160763 unique ideals
  816. Wed Mar 13 07:39:26 2019  reduce to 73021263 relations and 58206964 ideals in 6 passes
  817. Wed Mar 13 07:39:26 2019  max relations containing the same ideal: 135
  818. Wed Mar 13 07:39:53 2019  removing 5656916 relations and 3656916 ideals in 2000000 cliques
  819. Wed Mar 13 07:39:55 2019  commencing in-memory singleton removal
  820. Wed Mar 13 07:39:59 2019  begin with 67364347 relations and 58206964 unique ideals
  821. Wed Mar 13 07:40:31 2019  reduce to 67106019 relations and 54285527 ideals in 7 passes
  822. Wed Mar 13 07:40:31 2019  max relations containing the same ideal: 129
  823. Wed Mar 13 07:40:56 2019  removing 5622294 relations and 3622294 ideals in 2000000 cliques
  824. Wed Mar 13 07:40:58 2019  commencing in-memory singleton removal
  825. Wed Mar 13 07:41:01 2019  begin with 61483725 relations and 54285527 unique ideals
  826. Wed Mar 13 07:41:26 2019  reduce to 61210910 relations and 50383247 ideals in 6 passes
  827. Wed Mar 13 07:41:26 2019  max relations containing the same ideal: 121
  828. Wed Mar 13 07:41:49 2019  removing 5593474 relations and 3593474 ideals in 2000000 cliques
  829. Wed Mar 13 07:41:50 2019  commencing in-memory singleton removal
  830. Wed Mar 13 07:41:54 2019  begin with 55617436 relations and 50383247 unique ideals
  831. Wed Mar 13 07:42:16 2019  reduce to 55323668 relations and 46487769 ideals in 6 passes
  832. Wed Mar 13 07:42:16 2019  max relations containing the same ideal: 111
  833. Wed Mar 13 07:42:36 2019  removing 5573953 relations and 3573953 ideals in 2000000 cliques
  834. Wed Mar 13 07:42:38 2019  commencing in-memory singleton removal
  835. Wed Mar 13 07:42:41 2019  begin with 49749715 relations and 46487769 unique ideals
  836. Wed Mar 13 07:43:00 2019  reduce to 49426235 relations and 42580442 ideals in 6 passes
  837. Wed Mar 13 07:43:00 2019  max relations containing the same ideal: 103
  838. Wed Mar 13 07:43:17 2019  removing 5570874 relations and 3570874 ideals in 2000000 cliques
  839. Wed Mar 13 07:43:19 2019  commencing in-memory singleton removal
  840. Wed Mar 13 07:43:21 2019  begin with 43855361 relations and 42580442 unique ideals
  841. Wed Mar 13 07:43:38 2019  reduce to 43488476 relations and 38629977 ideals in 6 passes
  842. Wed Mar 13 07:43:38 2019  max relations containing the same ideal: 95
  843. Wed Mar 13 07:43:53 2019  removing 5588253 relations and 3588253 ideals in 2000000 cliques
  844. Wed Mar 13 07:43:55 2019  commencing in-memory singleton removal
  845. Wed Mar 13 07:43:57 2019  begin with 37900223 relations and 38629977 unique ideals
  846. Wed Mar 13 07:44:13 2019  reduce to 37461228 relations and 34585712 ideals in 7 passes
  847. Wed Mar 13 07:44:13 2019  max relations containing the same ideal: 86
  848. Wed Mar 13 07:44:26 2019  removing 5637183 relations and 3643548 ideals in 1993635 cliques
  849. Wed Mar 13 07:44:28 2019  commencing in-memory singleton removal
  850. Wed Mar 13 07:44:30 2019  begin with 31824045 relations and 34585712 unique ideals
  851. Wed Mar 13 07:44:43 2019  reduce to 31261762 relations and 30354975 ideals in 7 passes
  852. Wed Mar 13 07:44:43 2019  max relations containing the same ideal: 74
  853. Wed Mar 13 07:44:54 2019  removing 144439 relations and 119533 ideals in 24906 cliques
  854. Wed Mar 13 07:44:55 2019  commencing in-memory singleton removal
  855. Wed Mar 13 07:44:57 2019  begin with 31117323 relations and 30354975 unique ideals
  856. Wed Mar 13 07:45:08 2019  reduce to 31116718 relations and 30234836 ideals in 6 passes
  857. Wed Mar 13 07:45:08 2019  max relations containing the same ideal: 74
  858. Wed Mar 13 07:45:13 2019  relations with 0 large ideals: 58076
  859. Wed Mar 13 07:45:13 2019  relations with 1 large ideals: 16274
  860. Wed Mar 13 07:45:13 2019  relations with 2 large ideals: 185613
  861. Wed Mar 13 07:45:13 2019  relations with 3 large ideals: 1109667
  862. Wed Mar 13 07:45:13 2019  relations with 4 large ideals: 3566322
  863. Wed Mar 13 07:45:13 2019  relations with 5 large ideals: 6818907
  864. Wed Mar 13 07:45:13 2019  relations with 6 large ideals: 8155076
  865. Wed Mar 13 07:45:13 2019  relations with 7+ large ideals: 11206783
  866. Wed Mar 13 07:45:13 2019  commencing 2-way merge
  867. Wed Mar 13 07:45:26 2019  reduce to 21757528 relation sets and 20875646 unique ideals
  868. Wed Mar 13 07:45:26 2019  commencing full merge
  869. Wed Mar 13 07:58:05 2019  memory use: 970.2 MB
  870. Wed Mar 13 07:58:05 2019  found 95952 cycles, need 4736942
  871. Wed Mar 13 07:58:05 2019  too few cycles, matrix probably cannot build
  872. Wed Mar 13 07:58:05 2019  
  873. Wed Mar 13 07:58:05 2019  
  874. Wed Mar 13 07:58:05 2019  Msieve v. 1.53 (SVN 993)
  875. Wed Mar 13 07:58:05 2019  random seeds: 601170e1 2302487c
  876. Wed Mar 13 07:58:05 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  877. Wed Mar 13 07:58:06 2019  no P-1/P+1/ECM available, skipping
  878. Wed Mar 13 07:58:06 2019  commencing number field sieve (181-digit input)
  879. Wed Mar 13 07:58:06 2019  R0: 102067469997853225734913580209377959215104
  880. Wed Mar 13 07:58:06 2019  R1: -363797880709171295166015625
  881. Wed Mar 13 07:58:06 2019  A0: 1
  882. Wed Mar 13 07:58:06 2019  A1: -1
  883. Wed Mar 13 07:58:06 2019  A2: 1
  884. Wed Mar 13 07:58:06 2019  A3: -1
  885. Wed Mar 13 07:58:06 2019  A4: 1
  886. Wed Mar 13 07:58:06 2019  A5: -1
  887. Wed Mar 13 07:58:06 2019  A6: 1
  888. Wed Mar 13 07:58:06 2019  skew 1.00, size 3.733e-12, alpha 2.428, combined = 3.090e-13 rroots = 0
  889. Wed Mar 13 07:58:06 2019  
  890. Wed Mar 13 07:58:06 2019  commencing relation filtering
  891. Wed Mar 13 07:58:06 2019  setting target matrix density to 122.0
  892. Wed Mar 13 07:58:06 2019  estimated available RAM is 32094.0 MB
  893. Wed Mar 13 07:58:06 2019  commencing duplicate removal, pass 1
  894.   187 errors
  895. Wed Mar 13 07:58:51 2019  
  896. Wed Mar 13 07:58:51 2019  Msieve v. 1.53 (SVN 993)
  897. Wed Mar 13 07:58:51 2019  random seeds: 37425b85 2550fcb3
  898. Wed Mar 13 07:58:51 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  899. Wed Mar 13 07:59:08 2019  
  900. Wed Mar 13 07:59:08 2019  
  901. Wed Mar 13 07:59:08 2019  Msieve v. 1.54 (SVN 1022M)
  902. Wed Mar 13 07:59:08 2019  random seeds: 9f1aec84 036e6dca
  903. Wed Mar 13 07:59:08 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  904. Wed Mar 13 07:59:09 2019  no P-1/P+1/ECM available, skipping
  905. Wed Mar 13 07:59:09 2019  commencing number field sieve (181-digit input)
  906. Wed Mar 13 07:59:09 2019  R0: 102067469997853225734913580209377959215104
  907. Wed Mar 13 07:59:09 2019  R1: -363797880709171295166015625
  908. Wed Mar 13 07:59:09 2019  A0: 1
  909. Wed Mar 13 07:59:09 2019  A1: -1
  910. Wed Mar 13 07:59:09 2019  A2: 1
  911. Wed Mar 13 07:59:09 2019  A3: -1
  912. Wed Mar 13 07:59:09 2019  A4: 1
  913. Wed Mar 13 07:59:09 2019  A5: -1
  914. Wed Mar 13 07:59:09 2019  A6: 1
  915. Wed Mar 13 07:59:09 2019  skew 1.00, size 3.733e-12, alpha 2.428, combined = 3.090e-13 rroots = 0
  916. Wed Mar 13 07:59:09 2019  
  917. Wed Mar 13 07:59:09 2019  commencing linear algebra
  918. Wed Mar 13 07:59:10 2019  read 9659846 cycles
  919. Wed Mar 13 07:59:25 2019  cycles contain 30710055 unique relations
  920. Wed Mar 13 08:01:58 2019  read 30710055 relations
  921. Wed Mar 13 08:02:38 2019  using 20 quadratic characters above 4294917295
  922. Wed Mar 13 08:04:36 2019  building initial matrix
  923. Wed Mar 13 08:09:59 2019  memory use: 3801.7 MB
  924. Wed Mar 13 08:10:03 2019  read 9659846 cycles
  925. Wed Mar 13 08:10:04 2019  matrix is 9659669 x 9659846 (4434.4 MB) with weight 1261739759 (130.62/col)
  926. Wed Mar 13 08:10:04 2019  sparse part has weight 1056198776 (109.34/col)
  927. Wed Mar 13 08:11:55 2019  filtering completed in 2 passes
  928. Wed Mar 13 08:11:56 2019  matrix is 9659477 x 9659651 (4434.4 MB) with weight 1261733819 (130.62/col)
  929. Wed Mar 13 08:11:56 2019  sparse part has weight 1056197118 (109.34/col)
  930. Wed Mar 13 08:12:25 2019  matrix starts at (0, 0)
  931. Wed Mar 13 08:12:26 2019  matrix is 9659477 x 9659651 (4434.4 MB) with weight 1261733819 (130.62/col)
  932. Wed Mar 13 08:12:26 2019  sparse part has weight 1056197118 (109.34/col)
  933. Wed Mar 13 08:12:26 2019  saving the first 112 matrix rows for later
  934. Wed Mar 13 08:12:28 2019  matrix includes 128 packed rows
  935. Wed Mar 13 08:12:30 2019  matrix is 9659365 x 9659651 (4116.1 MB) with weight 1016385226 (105.22/col)
  936. Wed Mar 13 08:12:30 2019  sparse part has weight 963093174 (99.70/col)
  937. Wed Mar 13 08:12:30 2019  using block size 8192 and superblock size 589824 for processor cache size 12288 kB
  938. Wed Mar 13 08:12:52 2019  commencing Lanczos iteration (6 threads)
  939. Wed Mar 13 08:12:52 2019  memory use: 4554.5 MB
  940. Wed Mar 13 08:13:12 2019  linear algebra at 0.0%, ETA 31h32m
  941. Wed Mar 13 08:13:18 2019  checkpointing every 310000 dimensions
  942. Thu Mar 14 15:38:00 2019  lanczos halted after 75918 iterations (dim = 9659363)
  943. Thu Mar 14 15:38:13 2019  recovered 40 nontrivial dependencies
  944. Thu Mar 14 15:38:13 2019  BLanczosTime: 113944
  945. Thu Mar 14 15:38:13 2019  elapsed time 31:39:05
  946. Thu Mar 14 15:38:13 2019  
  947. Thu Mar 14 15:38:13 2019  
  948. Thu Mar 14 15:38:13 2019  Msieve v. 1.54 (SVN 1022M)
  949. Thu Mar 14 15:38:13 2019  random seeds: ced94557 2e5d932c
  950. Thu Mar 14 15:38:13 2019  factoring 4373772429700032649764324580043434541363701402270042398419951163857891196832547164541359725825071847539620454835844312353362783600459287298970137707850552852750940726191340317742409 (181 digits)
  951. Thu Mar 14 15:38:14 2019  no P-1/P+1/ECM available, skipping
  952. Thu Mar 14 15:38:14 2019  commencing number field sieve (181-digit input)
  953. Thu Mar 14 15:38:14 2019  R0: 102067469997853225734913580209377959215104
  954. Thu Mar 14 15:38:14 2019  R1: -363797880709171295166015625
  955. Thu Mar 14 15:38:14 2019  A0: 1
  956. Thu Mar 14 15:38:14 2019  A1: -1
  957. Thu Mar 14 15:38:14 2019  A2: 1
  958. Thu Mar 14 15:38:14 2019  A3: -1
  959. Thu Mar 14 15:38:14 2019  A4: 1
  960. Thu Mar 14 15:38:14 2019  A5: -1
  961. Thu Mar 14 15:38:14 2019  A6: 1
  962. Thu Mar 14 15:38:14 2019  skew 1.00, size 3.733e-12, alpha 2.428, combined = 3.090e-13 rroots = 0
  963. Thu Mar 14 15:38:14 2019  
  964. Thu Mar 14 15:38:14 2019  commencing square root phase
  965. Thu Mar 14 15:38:14 2019  reading relations for dependency 1
  966. Thu Mar 14 15:38:14 2019  read 4827028 cycles
  967. Thu Mar 14 15:38:22 2019  cycles contain 15350118 unique relations
  968. Thu Mar 14 15:39:49 2019  read 15350118 relations
  969. Thu Mar 14 15:40:39 2019  multiplying 15350118 relations
  970. Thu Mar 14 15:49:36 2019  multiply complete, coefficients have about 384.32 million bits
  971. Thu Mar 14 15:49:37 2019  initial square root is modulo 7868969
  972. Thu Mar 14 15:59:57 2019  sqrtTime: 1303
  973. Thu Mar 14 15:59:57 2019  p81 factor: 274516060083203219359494836898870056808011793985424047218288645263955802530689309
  974. Thu Mar 14 15:59:57 2019  p101 factor: 15932665026499300720632343491204509358144411379590732430555768120244570119049884431605737698446575901
  975. Thu Mar 14 15:59:57 2019  elapsed time 00:21:44
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