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11^241-9^241 linear algebra log

fivemack Aug 7th, 2019 78 Never
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  1. Tue Jul 16 11:41:43 2019  
  2. Tue Jul 16 11:41:43 2019  
  3. Tue Jul 16 11:41:43 2019  Msieve v. 1.53 (SVN 993)
  4. Tue Jul 16 11:41:43 2019  random seeds: 10d6b155 f91b5a6c
  5. Tue Jul 16 11:41:43 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  6. Tue Jul 16 11:41:45 2019  no P-1/P+1/ECM available, skipping
  7. Tue Jul 16 11:41:45 2019  commencing number field sieve (245-digit input)
  8. Tue Jul 16 11:41:45 2019  R0: 452592555681759518058893560348969204658401
  9. Tue Jul 16 11:41:45 2019  R1: -147808829414345923316083210206383297601
  10. Tue Jul 16 11:41:45 2019  A0: -9
  11. Tue Jul 16 11:41:45 2019  A1: 0
  12. Tue Jul 16 11:41:45 2019  A2: 0
  13. Tue Jul 16 11:41:45 2019  A3: 0
  14. Tue Jul 16 11:41:45 2019  A4: 0
  15. Tue Jul 16 11:41:45 2019  A5: 0
  16. Tue Jul 16 11:41:45 2019  A6: 11
  17. Tue Jul 16 11:41:45 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  18. Tue Jul 16 11:41:45 2019  
  19. Tue Jul 16 11:41:45 2019  commencing relation filtering
  20. Tue Jul 16 11:41:45 2019  setting target matrix density to 70.0
  21. Tue Jul 16 11:41:45 2019  estimated available RAM is 95375.2 MB
  22. Tue Jul 16 11:41:45 2019  commencing duplicate removal, pass 1
  23. Tue Jul 16 12:11:50 2019  skipped 107 relations with b > 2^32
  24. Tue Jul 16 12:11:50 2019  skipped 2 relations with composite factors
  25. Tue Jul 16 12:11:50 2019  found 7920492 hash collisions in 189900655 relations
  26. Tue Jul 16 12:12:09 2019  added 1218212 free relations
  27. Tue Jul 16 12:12:09 2019  commencing duplicate removal, pass 2
  28. Tue Jul 16 12:13:14 2019  found 0 duplicates and 191118867 unique relations
  29. Tue Jul 16 12:13:14 2019  memory use: 522.4 MB
  30. Tue Jul 16 12:13:14 2019  reading ideals above 720000
  31. Tue Jul 16 12:13:14 2019  commencing singleton removal, initial pass
  32. Tue Jul 16 12:45:12 2019  memory use: 5512.0 MB
  33. Tue Jul 16 12:45:12 2019  reading all ideals from disk
  34. Tue Jul 16 12:45:18 2019  memory use: 7660.3 MB
  35. Tue Jul 16 12:45:44 2019  keeping 178527471 ideals with weight <= 200, target excess is 964500
  36. Tue Jul 16 12:46:14 2019  commencing in-memory singleton removal
  37. Tue Jul 16 12:46:35 2019  begin with 191118867 relations and 178527471 unique ideals
  38. Tue Jul 16 12:50:36 2019  reduce to 124652133 relations and 105360598 ideals in 17 passes
  39. Tue Jul 16 12:50:36 2019  max relations containing the same ideal: 159
  40. Tue Jul 16 12:51:53 2019  removing 11589390 relations and 9589390 ideals in 2000000 cliques
  41. Tue Jul 16 12:51:57 2019  commencing in-memory singleton removal
  42. Tue Jul 16 12:52:09 2019  begin with 113062743 relations and 105360598 unique ideals
  43. Tue Jul 16 12:53:53 2019  reduce to 112169292 relations and 94858945 ideals in 9 passes
  44. Tue Jul 16 12:53:53 2019  max relations containing the same ideal: 149
  45. Tue Jul 16 12:55:02 2019  removing 8863820 relations and 6863820 ideals in 2000000 cliques
  46. Tue Jul 16 12:55:07 2019  commencing in-memory singleton removal
  47. Tue Jul 16 12:55:17 2019  begin with 103305472 relations and 94858945 unique ideals
  48. Tue Jul 16 12:56:30 2019  reduce to 102722978 relations and 87401672 ideals in 7 passes
  49. Tue Jul 16 12:56:30 2019  max relations containing the same ideal: 142
  50. Tue Jul 16 12:57:34 2019  removing 8028073 relations and 6028073 ideals in 2000000 cliques
  51. Tue Jul 16 12:57:38 2019  commencing in-memory singleton removal
  52. Tue Jul 16 12:57:48 2019  begin with 94694905 relations and 87401672 unique ideals
  53. Tue Jul 16 12:58:54 2019  reduce to 94179245 relations and 80848450 ideals in 7 passes
  54. Tue Jul 16 12:58:54 2019  max relations containing the same ideal: 133
  55. Tue Jul 16 12:59:54 2019  removing 7608203 relations and 5608203 ideals in 2000000 cliques
  56. Tue Jul 16 12:59:58 2019  commencing in-memory singleton removal
  57. Tue Jul 16 13:00:06 2019  begin with 86571042 relations and 80848450 unique ideals
  58. Tue Jul 16 13:01:06 2019  reduce to 86080209 relations and 74739818 ideals in 7 passes
  59. Tue Jul 16 13:01:06 2019  max relations containing the same ideal: 126
  60. Tue Jul 16 13:01:59 2019  removing 7348037 relations and 5348037 ideals in 2000000 cliques
  61. Tue Jul 16 13:02:03 2019  commencing in-memory singleton removal
  62. Tue Jul 16 13:02:10 2019  begin with 78732172 relations and 74739818 unique ideals
  63. Tue Jul 16 13:03:11 2019  reduce to 78248201 relations and 68897600 ideals in 8 passes
  64. Tue Jul 16 13:03:11 2019  max relations containing the same ideal: 119
  65. Tue Jul 16 13:04:00 2019  removing 7172537 relations and 5172537 ideals in 2000000 cliques
  66. Tue Jul 16 13:04:03 2019  commencing in-memory singleton removal
  67. Tue Jul 16 13:04:10 2019  begin with 71075664 relations and 68897600 unique ideals
  68. Tue Jul 16 13:04:57 2019  reduce to 70581820 relations and 63219961 ideals in 7 passes
  69. Tue Jul 16 13:04:57 2019  max relations containing the same ideal: 111
  70. Tue Jul 16 13:05:41 2019  removing 7053906 relations and 5053906 ideals in 2000000 cliques
  71. Tue Jul 16 13:05:44 2019  commencing in-memory singleton removal
  72. Tue Jul 16 13:05:50 2019  begin with 63527914 relations and 63219961 unique ideals
  73. Tue Jul 16 13:06:32 2019  reduce to 63009815 relations and 57635059 ideals in 7 passes
  74. Tue Jul 16 13:06:32 2019  max relations containing the same ideal: 102
  75. Tue Jul 16 13:07:12 2019  removing 6975677 relations and 4975677 ideals in 2000000 cliques
  76. Tue Jul 16 13:07:15 2019  commencing in-memory singleton removal
  77. Tue Jul 16 13:07:20 2019  begin with 56034138 relations and 57635059 unique ideals
  78. Tue Jul 16 13:07:56 2019  reduce to 55471413 relations and 52081101 ideals in 7 passes
  79. Tue Jul 16 13:07:56 2019  max relations containing the same ideal: 98
  80. Tue Jul 16 13:08:32 2019  removing 6939757 relations and 4939757 ideals in 2000000 cliques
  81. Tue Jul 16 13:08:35 2019  commencing in-memory singleton removal
  82. Tue Jul 16 13:08:39 2019  begin with 48531656 relations and 52081101 unique ideals
  83. Tue Jul 16 13:09:19 2019  reduce to 47887559 relations and 46477456 ideals in 9 passes
  84. Tue Jul 16 13:09:19 2019  max relations containing the same ideal: 85
  85. Tue Jul 16 13:09:50 2019  removing 1468872 relations and 1177590 ideals in 291282 cliques
  86. Tue Jul 16 13:09:51 2019  commencing in-memory singleton removal
  87. Tue Jul 16 13:09:56 2019  begin with 46418687 relations and 46477456 unique ideals
  88. Tue Jul 16 13:10:21 2019  reduce to 46388194 relations and 45269235 ideals in 6 passes
  89. Tue Jul 16 13:10:21 2019  max relations containing the same ideal: 83
  90. Tue Jul 16 13:10:59 2019  relations with 0 large ideals: 36056
  91. Tue Jul 16 13:10:59 2019  relations with 1 large ideals: 20721
  92. Tue Jul 16 13:10:59 2019  relations with 2 large ideals: 245040
  93. Tue Jul 16 13:10:59 2019  relations with 3 large ideals: 1493716
  94. Tue Jul 16 13:10:59 2019  relations with 4 large ideals: 4967809
  95. Tue Jul 16 13:10:59 2019  relations with 5 large ideals: 9914125
  96. Tue Jul 16 13:10:59 2019  relations with 6 large ideals: 12419077
  97. Tue Jul 16 13:10:59 2019  relations with 7+ large ideals: 17291650
  98. Tue Jul 16 13:10:59 2019  commencing 2-way merge
  99. Tue Jul 16 13:11:35 2019  reduce to 31056240 relation sets and 29937281 unique ideals
  100. Tue Jul 16 13:11:35 2019  commencing full merge
  101. Tue Jul 16 13:21:49 2019  memory use: 3556.7 MB
  102. Tue Jul 16 13:21:53 2019  found 16719511 cycles, need 16565481
  103. Tue Jul 16 13:22:01 2019  weight of 16565481 cycles is about 1159877888 (70.02/cycle)
  104. Tue Jul 16 13:22:01 2019  distribution of cycle lengths:
  105. Tue Jul 16 13:22:01 2019  1 relations: 1836808
  106. Tue Jul 16 13:22:01 2019  2 relations: 2070127
  107. Tue Jul 16 13:22:01 2019  3 relations: 2151646
  108. Tue Jul 16 13:22:01 2019  4 relations: 1993037
  109. Tue Jul 16 13:22:01 2019  5 relations: 1828158
  110. Tue Jul 16 13:22:01 2019  6 relations: 1594198
  111. Tue Jul 16 13:22:01 2019  7 relations: 1350370
  112. Tue Jul 16 13:22:01 2019  8 relations: 1090603
  113. Tue Jul 16 13:22:01 2019  9 relations: 842653
  114. Tue Jul 16 13:22:01 2019  10+ relations: 1807881
  115. Tue Jul 16 13:22:01 2019  heaviest cycle: 18 relations
  116. Tue Jul 16 13:22:10 2019  commencing cycle optimization
  117. Tue Jul 16 13:22:36 2019  start with 85595873 relations
  118. Tue Jul 16 13:25:07 2019  pruned 2209577 relations
  119. Tue Jul 16 13:25:08 2019  memory use: 2804.5 MB
  120. Tue Jul 16 13:25:08 2019  distribution of cycle lengths:
  121. Tue Jul 16 13:25:08 2019  1 relations: 1836808
  122. Tue Jul 16 13:25:08 2019  2 relations: 2115262
  123. Tue Jul 16 13:25:08 2019  3 relations: 2230777
  124. Tue Jul 16 13:25:08 2019  4 relations: 2048774
  125. Tue Jul 16 13:25:08 2019  5 relations: 1881000
  126. Tue Jul 16 13:25:08 2019  6 relations: 1622124
  127. Tue Jul 16 13:25:08 2019  7 relations: 1363685
  128. Tue Jul 16 13:25:08 2019  8 relations: 1079659
  129. Tue Jul 16 13:25:08 2019  9 relations: 817816
  130. Tue Jul 16 13:25:08 2019  10+ relations: 1569576
  131. Tue Jul 16 13:25:08 2019  heaviest cycle: 18 relations
  132. Tue Jul 16 13:25:41 2019  RelProcTime: 6236
  133. Tue Jul 16 13:25:51 2019  elapsed time 01:44:08
  134. Tue Jul 16 13:25:52 2019  
  135. Tue Jul 16 13:25:52 2019  
  136. Tue Jul 16 13:25:52 2019  Msieve v. 1.53 (SVN 993)
  137. Tue Jul 16 13:25:52 2019  random seeds: 06867839 14dc9787
  138. Tue Jul 16 13:25:52 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  139. Tue Jul 16 13:25:53 2019  no P-1/P+1/ECM available, skipping
  140. Tue Jul 16 13:25:53 2019  commencing number field sieve (245-digit input)
  141. Tue Jul 16 13:25:53 2019  R0: 452592555681759518058893560348969204658401
  142. Tue Jul 16 13:25:53 2019  R1: -147808829414345923316083210206383297601
  143. Tue Jul 16 13:25:53 2019  A0: -9
  144. Tue Jul 16 13:25:53 2019  A1: 0
  145. Tue Jul 16 13:25:53 2019  A2: 0
  146. Tue Jul 16 13:25:53 2019  A3: 0
  147. Tue Jul 16 13:25:53 2019  A4: 0
  148. Tue Jul 16 13:25:53 2019  A5: 0
  149. Tue Jul 16 13:25:53 2019  A6: 11
  150. Tue Jul 16 13:25:53 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  151. Tue Jul 16 13:25:53 2019  
  152. Tue Jul 16 13:25:53 2019  commencing relation filtering
  153. Tue Jul 16 13:25:53 2019  setting target matrix density to 134.0
  154. Tue Jul 16 13:25:53 2019  estimated available RAM is 95375.2 MB
  155. Tue Jul 16 13:25:53 2019  commencing duplicate removal, pass 1
  156. Tue Jul 16 13:54:32 2019  skipped 107 relations with b > 2^32
  157. Tue Jul 16 13:54:32 2019  skipped 2 relations with composite factors
  158. Tue Jul 16 13:54:32 2019  found 8019466 hash collisions in 191118867 relations
  159. Tue Jul 16 13:54:45 2019  commencing duplicate removal, pass 2
  160. Tue Jul 16 13:55:41 2019  found 0 duplicates and 191118867 unique relations
  161. Tue Jul 16 13:55:41 2019  memory use: 522.4 MB
  162. Tue Jul 16 13:55:41 2019  reading ideals above 720000
  163. Tue Jul 16 13:55:41 2019  commencing singleton removal, initial pass
  164. Tue Jul 16 14:23:40 2019  memory use: 5512.0 MB
  165. Tue Jul 16 14:23:40 2019  reading all ideals from disk
  166. Tue Jul 16 14:23:45 2019  memory use: 7660.3 MB
  167. Tue Jul 16 14:24:11 2019  keeping 178527471 ideals with weight <= 200, target excess is 964500
  168. Tue Jul 16 14:24:40 2019  commencing in-memory singleton removal
  169. Tue Jul 16 14:24:59 2019  begin with 191118867 relations and 178527471 unique ideals
  170. Tue Jul 16 14:28:50 2019  reduce to 124652133 relations and 105360598 ideals in 17 passes
  171. Tue Jul 16 14:28:50 2019  max relations containing the same ideal: 159
  172. Tue Jul 16 14:30:03 2019  removing 11589390 relations and 9589390 ideals in 2000000 cliques
  173. Tue Jul 16 14:30:08 2019  commencing in-memory singleton removal
  174. Tue Jul 16 14:30:20 2019  begin with 113062743 relations and 105360598 unique ideals
  175. Tue Jul 16 14:32:01 2019  reduce to 112169292 relations and 94858945 ideals in 9 passes
  176. Tue Jul 16 14:32:01 2019  max relations containing the same ideal: 149
  177. Tue Jul 16 14:33:08 2019  removing 8863820 relations and 6863820 ideals in 2000000 cliques
  178. Tue Jul 16 14:33:12 2019  commencing in-memory singleton removal
  179. Tue Jul 16 14:33:22 2019  begin with 103305472 relations and 94858945 unique ideals
  180. Tue Jul 16 14:34:33 2019  reduce to 102722978 relations and 87401672 ideals in 7 passes
  181. Tue Jul 16 14:34:33 2019  max relations containing the same ideal: 142
  182. Tue Jul 16 14:35:35 2019  removing 8028073 relations and 6028073 ideals in 2000000 cliques
  183. Tue Jul 16 14:35:39 2019  commencing in-memory singleton removal
  184. Tue Jul 16 14:35:48 2019  begin with 94694905 relations and 87401672 unique ideals
  185. Tue Jul 16 14:36:53 2019  reduce to 94179245 relations and 80848450 ideals in 7 passes
  186. Tue Jul 16 14:36:53 2019  max relations containing the same ideal: 133
  187. Tue Jul 16 14:37:50 2019  removing 7608203 relations and 5608203 ideals in 2000000 cliques
  188. Tue Jul 16 14:37:54 2019  commencing in-memory singleton removal
  189. Tue Jul 16 14:38:02 2019  begin with 86571042 relations and 80848450 unique ideals
  190. Tue Jul 16 14:39:01 2019  reduce to 86080209 relations and 74739818 ideals in 7 passes
  191. Tue Jul 16 14:39:01 2019  max relations containing the same ideal: 126
  192. Tue Jul 16 14:39:54 2019  removing 7348037 relations and 5348037 ideals in 2000000 cliques
  193. Tue Jul 16 14:39:57 2019  commencing in-memory singleton removal
  194. Tue Jul 16 14:40:05 2019  begin with 78732172 relations and 74739818 unique ideals
  195. Tue Jul 16 14:41:05 2019  reduce to 78248201 relations and 68897600 ideals in 8 passes
  196. Tue Jul 16 14:41:05 2019  max relations containing the same ideal: 119
  197. Tue Jul 16 14:41:53 2019  removing 7172537 relations and 5172537 ideals in 2000000 cliques
  198. Tue Jul 16 14:41:56 2019  commencing in-memory singleton removal
  199. Tue Jul 16 14:42:03 2019  begin with 71075664 relations and 68897600 unique ideals
  200. Tue Jul 16 14:42:50 2019  reduce to 70581820 relations and 63219961 ideals in 7 passes
  201. Tue Jul 16 14:42:50 2019  max relations containing the same ideal: 111
  202. Tue Jul 16 14:43:34 2019  removing 7053906 relations and 5053906 ideals in 2000000 cliques
  203. Tue Jul 16 14:43:37 2019  commencing in-memory singleton removal
  204. Tue Jul 16 14:43:43 2019  begin with 63527914 relations and 63219961 unique ideals
  205. Tue Jul 16 14:44:24 2019  reduce to 63009815 relations and 57635059 ideals in 7 passes
  206. Tue Jul 16 14:44:24 2019  max relations containing the same ideal: 102
  207. Tue Jul 16 14:45:04 2019  removing 6975677 relations and 4975677 ideals in 2000000 cliques
  208. Tue Jul 16 14:45:06 2019  commencing in-memory singleton removal
  209. Tue Jul 16 14:45:12 2019  begin with 56034138 relations and 57635059 unique ideals
  210. Tue Jul 16 14:45:48 2019  reduce to 55471413 relations and 52081101 ideals in 7 passes
  211. Tue Jul 16 14:45:48 2019  max relations containing the same ideal: 98
  212. Tue Jul 16 14:46:23 2019  removing 6939757 relations and 4939757 ideals in 2000000 cliques
  213. Tue Jul 16 14:46:26 2019  commencing in-memory singleton removal
  214. Tue Jul 16 14:46:31 2019  begin with 48531656 relations and 52081101 unique ideals
  215. Tue Jul 16 14:47:10 2019  reduce to 47887559 relations and 46477456 ideals in 9 passes
  216. Tue Jul 16 14:47:10 2019  max relations containing the same ideal: 85
  217. Tue Jul 16 14:47:41 2019  removing 1468872 relations and 1177590 ideals in 291282 cliques
  218. Tue Jul 16 14:47:42 2019  commencing in-memory singleton removal
  219. Tue Jul 16 14:47:47 2019  begin with 46418687 relations and 46477456 unique ideals
  220. Tue Jul 16 14:48:12 2019  reduce to 46388194 relations and 45269235 ideals in 6 passes
  221. Tue Jul 16 14:48:12 2019  max relations containing the same ideal: 83
  222. Tue Jul 16 14:48:50 2019  relations with 0 large ideals: 36056
  223. Tue Jul 16 14:48:50 2019  relations with 1 large ideals: 20721
  224. Tue Jul 16 14:48:50 2019  relations with 2 large ideals: 245040
  225. Tue Jul 16 14:48:50 2019  relations with 3 large ideals: 1493716
  226. Tue Jul 16 14:48:50 2019  relations with 4 large ideals: 4967809
  227. Tue Jul 16 14:48:50 2019  relations with 5 large ideals: 9914125
  228. Tue Jul 16 14:48:50 2019  relations with 6 large ideals: 12419077
  229. Tue Jul 16 14:48:50 2019  relations with 7+ large ideals: 17291650
  230. Tue Jul 16 14:48:50 2019  commencing 2-way merge
  231. Tue Jul 16 14:49:25 2019  reduce to 31056240 relation sets and 29937281 unique ideals
  232. Tue Jul 16 14:49:25 2019  commencing full merge
  233. Tue Jul 16 15:20:54 2019  memory use: 1389.6 MB
  234. Tue Jul 16 15:20:54 2019  found 106489 cycles, need 6723020
  235. Tue Jul 16 15:20:54 2019  too few cycles, matrix probably cannot build
  236. Tue Jul 16 15:20:54 2019  
  237. Tue Jul 16 15:20:54 2019  
  238. Tue Jul 16 15:20:54 2019  Msieve v. 1.53 (SVN 993)
  239. Tue Jul 16 15:20:54 2019  random seeds: 027279ab f57a616d
  240. Tue Jul 16 15:20:54 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  241. Tue Jul 16 15:20:56 2019  no P-1/P+1/ECM available, skipping
  242. Tue Jul 16 15:20:56 2019  commencing number field sieve (245-digit input)
  243. Tue Jul 16 15:20:56 2019  R0: 452592555681759518058893560348969204658401
  244. Tue Jul 16 15:20:56 2019  R1: -147808829414345923316083210206383297601
  245. Tue Jul 16 15:20:56 2019  A0: -9
  246. Tue Jul 16 15:20:56 2019  A1: 0
  247. Tue Jul 16 15:20:56 2019  A2: 0
  248. Tue Jul 16 15:20:56 2019  A3: 0
  249. Tue Jul 16 15:20:56 2019  A4: 0
  250. Tue Jul 16 15:20:56 2019  A5: 0
  251. Tue Jul 16 15:20:56 2019  A6: 11
  252. Tue Jul 16 15:20:56 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  253. Tue Jul 16 15:20:56 2019  
  254. Tue Jul 16 15:20:56 2019  commencing relation filtering
  255. Tue Jul 16 15:20:56 2019  setting target matrix density to 102.0
  256. Tue Jul 16 15:20:56 2019  estimated available RAM is 95375.2 MB
  257. Tue Jul 16 15:20:56 2019  commencing duplicate removal, pass 1
  258. Tue Jul 16 15:49:02 2019  skipped 107 relations with b > 2^32
  259. Tue Jul 16 15:49:02 2019  skipped 2 relations with composite factors
  260. Tue Jul 16 15:49:02 2019  found 8019466 hash collisions in 191118867 relations
  261. Tue Jul 16 15:49:15 2019  commencing duplicate removal, pass 2
  262. Tue Jul 16 15:50:11 2019  found 0 duplicates and 191118867 unique relations
  263. Tue Jul 16 15:50:11 2019  memory use: 522.4 MB
  264. Tue Jul 16 15:50:11 2019  reading ideals above 720000
  265. Tue Jul 16 15:50:11 2019  commencing singleton removal, initial pass
  266. Tue Jul 16 16:18:12 2019  memory use: 5512.0 MB
  267. Tue Jul 16 16:18:12 2019  reading all ideals from disk
  268. Tue Jul 16 16:18:18 2019  memory use: 7660.3 MB
  269. Tue Jul 16 16:18:52 2019  keeping 178527471 ideals with weight <= 200, target excess is 964500
  270. Tue Jul 16 16:19:21 2019  commencing in-memory singleton removal
  271. Tue Jul 16 16:19:40 2019  begin with 191118867 relations and 178527471 unique ideals
  272. Tue Jul 16 16:23:31 2019  reduce to 124652133 relations and 105360598 ideals in 17 passes
  273. Tue Jul 16 16:23:31 2019  max relations containing the same ideal: 159
  274. Tue Jul 16 16:24:45 2019  removing 11589390 relations and 9589390 ideals in 2000000 cliques
  275. Tue Jul 16 16:24:49 2019  commencing in-memory singleton removal
  276. Tue Jul 16 16:25:01 2019  begin with 113062743 relations and 105360598 unique ideals
  277. Tue Jul 16 16:26:42 2019  reduce to 112169292 relations and 94858945 ideals in 9 passes
  278. Tue Jul 16 16:26:42 2019  max relations containing the same ideal: 149
  279. Tue Jul 16 16:27:48 2019  removing 8863820 relations and 6863820 ideals in 2000000 cliques
  280. Tue Jul 16 16:27:53 2019  commencing in-memory singleton removal
  281. Tue Jul 16 16:28:03 2019  begin with 103305472 relations and 94858945 unique ideals
  282. Tue Jul 16 16:29:14 2019  reduce to 102722978 relations and 87401672 ideals in 7 passes
  283. Tue Jul 16 16:29:14 2019  max relations containing the same ideal: 142
  284. Tue Jul 16 16:30:16 2019  removing 8028073 relations and 6028073 ideals in 2000000 cliques
  285. Tue Jul 16 16:30:20 2019  commencing in-memory singleton removal
  286. Tue Jul 16 16:30:29 2019  begin with 94694905 relations and 87401672 unique ideals
  287. Tue Jul 16 16:31:34 2019  reduce to 94179245 relations and 80848450 ideals in 7 passes
  288. Tue Jul 16 16:31:34 2019  max relations containing the same ideal: 133
  289. Tue Jul 16 16:32:31 2019  removing 7608203 relations and 5608203 ideals in 2000000 cliques
  290. Tue Jul 16 16:32:34 2019  commencing in-memory singleton removal
  291. Tue Jul 16 16:32:43 2019  begin with 86571042 relations and 80848450 unique ideals
  292. Tue Jul 16 16:33:41 2019  reduce to 86080209 relations and 74739818 ideals in 7 passes
  293. Tue Jul 16 16:33:41 2019  max relations containing the same ideal: 126
  294. Tue Jul 16 16:34:34 2019  removing 7348037 relations and 5348037 ideals in 2000000 cliques
  295. Tue Jul 16 16:34:38 2019  commencing in-memory singleton removal
  296. Tue Jul 16 16:34:45 2019  begin with 78732172 relations and 74739818 unique ideals
  297. Tue Jul 16 16:35:45 2019  reduce to 78248201 relations and 68897600 ideals in 8 passes
  298. Tue Jul 16 16:35:45 2019  max relations containing the same ideal: 119
  299. Tue Jul 16 16:36:34 2019  removing 7172537 relations and 5172537 ideals in 2000000 cliques
  300. Tue Jul 16 16:36:37 2019  commencing in-memory singleton removal
  301. Tue Jul 16 16:36:44 2019  begin with 71075664 relations and 68897600 unique ideals
  302. Tue Jul 16 16:37:31 2019  reduce to 70581820 relations and 63219961 ideals in 7 passes
  303. Tue Jul 16 16:37:31 2019  max relations containing the same ideal: 111
  304. Tue Jul 16 16:38:15 2019  removing 7053906 relations and 5053906 ideals in 2000000 cliques
  305. Tue Jul 16 16:38:18 2019  commencing in-memory singleton removal
  306. Tue Jul 16 16:38:24 2019  begin with 63527914 relations and 63219961 unique ideals
  307. Tue Jul 16 16:39:05 2019  reduce to 63009815 relations and 57635059 ideals in 7 passes
  308. Tue Jul 16 16:39:05 2019  max relations containing the same ideal: 102
  309. Tue Jul 16 16:39:45 2019  removing 6975677 relations and 4975677 ideals in 2000000 cliques
  310. Tue Jul 16 16:39:48 2019  commencing in-memory singleton removal
  311. Tue Jul 16 16:39:53 2019  begin with 56034138 relations and 57635059 unique ideals
  312. Tue Jul 16 16:40:30 2019  reduce to 55471413 relations and 52081101 ideals in 7 passes
  313. Tue Jul 16 16:40:30 2019  max relations containing the same ideal: 98
  314. Tue Jul 16 16:41:05 2019  removing 6939757 relations and 4939757 ideals in 2000000 cliques
  315. Tue Jul 16 16:41:08 2019  commencing in-memory singleton removal
  316. Tue Jul 16 16:41:12 2019  begin with 48531656 relations and 52081101 unique ideals
  317. Tue Jul 16 16:41:52 2019  reduce to 47887559 relations and 46477456 ideals in 9 passes
  318. Tue Jul 16 16:41:52 2019  max relations containing the same ideal: 85
  319. Tue Jul 16 16:42:22 2019  removing 1468872 relations and 1177590 ideals in 291282 cliques
  320. Tue Jul 16 16:42:24 2019  commencing in-memory singleton removal
  321. Tue Jul 16 16:42:28 2019  begin with 46418687 relations and 46477456 unique ideals
  322. Tue Jul 16 16:42:54 2019  reduce to 46388194 relations and 45269235 ideals in 6 passes
  323. Tue Jul 16 16:42:54 2019  max relations containing the same ideal: 83
  324. Tue Jul 16 16:43:31 2019  relations with 0 large ideals: 36056
  325. Tue Jul 16 16:43:31 2019  relations with 1 large ideals: 20721
  326. Tue Jul 16 16:43:31 2019  relations with 2 large ideals: 245040
  327. Tue Jul 16 16:43:31 2019  relations with 3 large ideals: 1493716
  328. Tue Jul 16 16:43:31 2019  relations with 4 large ideals: 4967809
  329. Tue Jul 16 16:43:31 2019  relations with 5 large ideals: 9914125
  330. Tue Jul 16 16:43:31 2019  relations with 6 large ideals: 12419077
  331. Tue Jul 16 16:43:31 2019  relations with 7+ large ideals: 17291650
  332. Tue Jul 16 16:43:31 2019  commencing 2-way merge
  333. Tue Jul 16 16:44:07 2019  reduce to 31056240 relation sets and 29937281 unique ideals
  334. Tue Jul 16 16:44:07 2019  commencing full merge
  335. Tue Jul 16 16:58:30 2019  memory use: 3755.0 MB
  336. Tue Jul 16 16:58:34 2019  found 14654235 cycles, need 14521481
  337. Tue Jul 16 16:58:41 2019  weight of 14521481 cycles is about 1481585201 (102.03/cycle)
  338. Tue Jul 16 16:58:41 2019  distribution of cycle lengths:
  339. Tue Jul 16 16:58:41 2019  1 relations: 818883
  340. Tue Jul 16 16:58:41 2019  2 relations: 1111746
  341. Tue Jul 16 16:58:41 2019  3 relations: 1271316
  342. Tue Jul 16 16:58:41 2019  4 relations: 1279513
  343. Tue Jul 16 16:58:41 2019  5 relations: 1266140
  344. Tue Jul 16 16:58:41 2019  6 relations: 1211213
  345. Tue Jul 16 16:58:41 2019  7 relations: 1142932
  346. Tue Jul 16 16:58:41 2019  8 relations: 1052284
  347. Tue Jul 16 16:58:41 2019  9 relations: 948760
  348. Tue Jul 16 16:58:41 2019  10+ relations: 4418694
  349. Tue Jul 16 16:58:41 2019  heaviest cycle: 27 relations
  350. Tue Jul 16 16:58:49 2019  commencing cycle optimization
  351. Tue Jul 16 16:59:18 2019  start with 109384818 relations
  352. Tue Jul 16 17:04:14 2019  pruned 4371465 relations
  353. Tue Jul 16 17:04:14 2019  memory use: 3057.6 MB
  354. Tue Jul 16 17:04:14 2019  distribution of cycle lengths:
  355. Tue Jul 16 17:04:14 2019  1 relations: 818883
  356. Tue Jul 16 17:04:14 2019  2 relations: 1141172
  357. Tue Jul 16 17:04:14 2019  3 relations: 1327787
  358. Tue Jul 16 17:04:14 2019  4 relations: 1331298
  359. Tue Jul 16 17:04:14 2019  5 relations: 1326882
  360. Tue Jul 16 17:04:14 2019  6 relations: 1260901
  361. Tue Jul 16 17:04:14 2019  7 relations: 1189851
  362. Tue Jul 16 17:04:14 2019  8 relations: 1086445
  363. Tue Jul 16 17:04:14 2019  9 relations: 974702
  364. Tue Jul 16 17:04:14 2019  10+ relations: 4063560
  365. Tue Jul 16 17:04:14 2019  heaviest cycle: 26 relations
  366. Tue Jul 16 17:04:58 2019  RelProcTime: 6242
  367. Tue Jul 16 17:04:58 2019  elapsed time 01:44:04
  368. Tue Jul 16 17:04:58 2019  
  369. Tue Jul 16 17:04:58 2019  
  370. Tue Jul 16 17:04:58 2019  Msieve v. 1.53 (SVN 993)
  371. Tue Jul 16 17:04:58 2019  random seeds: 5d58ae96 52cc2436
  372. Tue Jul 16 17:04:58 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  373. Tue Jul 16 17:05:00 2019  no P-1/P+1/ECM available, skipping
  374. Tue Jul 16 17:05:00 2019  commencing number field sieve (245-digit input)
  375. Tue Jul 16 17:05:00 2019  R0: 452592555681759518058893560348969204658401
  376. Tue Jul 16 17:05:00 2019  R1: -147808829414345923316083210206383297601
  377. Tue Jul 16 17:05:00 2019  A0: -9
  378. Tue Jul 16 17:05:00 2019  A1: 0
  379. Tue Jul 16 17:05:00 2019  A2: 0
  380. Tue Jul 16 17:05:00 2019  A3: 0
  381. Tue Jul 16 17:05:00 2019  A4: 0
  382. Tue Jul 16 17:05:00 2019  A5: 0
  383. Tue Jul 16 17:05:00 2019  A6: 11
  384. Tue Jul 16 17:05:00 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  385. Tue Jul 16 17:05:00 2019  
  386. Tue Jul 16 17:05:00 2019  commencing relation filtering
  387. Tue Jul 16 17:05:00 2019  setting target matrix density to 118.0
  388. Tue Jul 16 17:05:00 2019  estimated available RAM is 95375.2 MB
  389. Tue Jul 16 17:05:00 2019  commencing duplicate removal, pass 1
  390. Tue Jul 16 17:33:04 2019  skipped 107 relations with b > 2^32
  391. Tue Jul 16 17:33:04 2019  skipped 2 relations with composite factors
  392. Tue Jul 16 17:33:04 2019  found 8019466 hash collisions in 191118867 relations
  393. Tue Jul 16 17:33:17 2019  commencing duplicate removal, pass 2
  394. Tue Jul 16 17:34:13 2019  found 0 duplicates and 191118867 unique relations
  395. Tue Jul 16 17:34:13 2019  memory use: 522.4 MB
  396. Tue Jul 16 17:34:13 2019  reading ideals above 720000
  397. Tue Jul 16 17:34:13 2019  commencing singleton removal, initial pass
  398. Tue Jul 16 18:02:14 2019  memory use: 5512.0 MB
  399. Tue Jul 16 18:02:14 2019  reading all ideals from disk
  400. Tue Jul 16 18:02:19 2019  memory use: 7660.3 MB
  401. Tue Jul 16 18:02:45 2019  keeping 178527471 ideals with weight <= 200, target excess is 964500
  402. Tue Jul 16 18:03:13 2019  commencing in-memory singleton removal
  403. Tue Jul 16 18:03:33 2019  begin with 191118867 relations and 178527471 unique ideals
  404. Tue Jul 16 18:07:26 2019  reduce to 124652133 relations and 105360598 ideals in 17 passes
  405. Tue Jul 16 18:07:26 2019  max relations containing the same ideal: 159
  406. Tue Jul 16 18:08:39 2019  removing 11589390 relations and 9589390 ideals in 2000000 cliques
  407. Tue Jul 16 18:08:44 2019  commencing in-memory singleton removal
  408. Tue Jul 16 18:08:56 2019  begin with 113062743 relations and 105360598 unique ideals
  409. Tue Jul 16 18:10:37 2019  reduce to 112169292 relations and 94858945 ideals in 9 passes
  410. Tue Jul 16 18:10:37 2019  max relations containing the same ideal: 149
  411. Tue Jul 16 18:11:44 2019  removing 8863820 relations and 6863820 ideals in 2000000 cliques
  412. Tue Jul 16 18:11:48 2019  commencing in-memory singleton removal
  413. Tue Jul 16 18:11:58 2019  begin with 103305472 relations and 94858945 unique ideals
  414. Tue Jul 16 18:13:10 2019  reduce to 102722978 relations and 87401672 ideals in 7 passes
  415. Tue Jul 16 18:13:10 2019  max relations containing the same ideal: 142
  416. Tue Jul 16 18:14:12 2019  removing 8028073 relations and 6028073 ideals in 2000000 cliques
  417. Tue Jul 16 18:14:15 2019  commencing in-memory singleton removal
  418. Tue Jul 16 18:14:25 2019  begin with 94694905 relations and 87401672 unique ideals
  419. Tue Jul 16 18:15:30 2019  reduce to 94179245 relations and 80848450 ideals in 7 passes
  420. Tue Jul 16 18:15:30 2019  max relations containing the same ideal: 133
  421. Tue Jul 16 18:16:27 2019  removing 7608203 relations and 5608203 ideals in 2000000 cliques
  422. Tue Jul 16 18:16:31 2019  commencing in-memory singleton removal
  423. Tue Jul 16 18:16:39 2019  begin with 86571042 relations and 80848450 unique ideals
  424. Tue Jul 16 18:17:38 2019  reduce to 86080209 relations and 74739818 ideals in 7 passes
  425. Tue Jul 16 18:17:38 2019  max relations containing the same ideal: 126
  426. Tue Jul 16 18:18:31 2019  removing 7348037 relations and 5348037 ideals in 2000000 cliques
  427. Tue Jul 16 18:18:34 2019  commencing in-memory singleton removal
  428. Tue Jul 16 18:18:42 2019  begin with 78732172 relations and 74739818 unique ideals
  429. Tue Jul 16 18:19:42 2019  reduce to 78248201 relations and 68897600 ideals in 8 passes
  430. Tue Jul 16 18:19:42 2019  max relations containing the same ideal: 119
  431. Tue Jul 16 18:20:31 2019  removing 7172537 relations and 5172537 ideals in 2000000 cliques
  432. Tue Jul 16 18:20:34 2019  commencing in-memory singleton removal
  433. Tue Jul 16 18:20:41 2019  begin with 71075664 relations and 68897600 unique ideals
  434. Tue Jul 16 18:21:28 2019  reduce to 70581820 relations and 63219961 ideals in 7 passes
  435. Tue Jul 16 18:21:28 2019  max relations containing the same ideal: 111
  436. Tue Jul 16 18:22:12 2019  removing 7053906 relations and 5053906 ideals in 2000000 cliques
  437. Tue Jul 16 18:22:15 2019  commencing in-memory singleton removal
  438. Tue Jul 16 18:22:22 2019  begin with 63527914 relations and 63219961 unique ideals
  439. Tue Jul 16 18:23:03 2019  reduce to 63009815 relations and 57635059 ideals in 7 passes
  440. Tue Jul 16 18:23:03 2019  max relations containing the same ideal: 102
  441. Tue Jul 16 18:23:43 2019  removing 6975677 relations and 4975677 ideals in 2000000 cliques
  442. Tue Jul 16 18:23:46 2019  commencing in-memory singleton removal
  443. Tue Jul 16 18:23:51 2019  begin with 56034138 relations and 57635059 unique ideals
  444. Tue Jul 16 18:24:28 2019  reduce to 55471413 relations and 52081101 ideals in 7 passes
  445. Tue Jul 16 18:24:28 2019  max relations containing the same ideal: 98
  446. Tue Jul 16 18:25:03 2019  removing 6939757 relations and 4939757 ideals in 2000000 cliques
  447. Tue Jul 16 18:25:06 2019  commencing in-memory singleton removal
  448. Tue Jul 16 18:25:11 2019  begin with 48531656 relations and 52081101 unique ideals
  449. Tue Jul 16 18:25:50 2019  reduce to 47887559 relations and 46477456 ideals in 9 passes
  450. Tue Jul 16 18:25:50 2019  max relations containing the same ideal: 85
  451. Tue Jul 16 18:26:21 2019  removing 1468872 relations and 1177590 ideals in 291282 cliques
  452. Tue Jul 16 18:26:23 2019  commencing in-memory singleton removal
  453. Tue Jul 16 18:26:27 2019  begin with 46418687 relations and 46477456 unique ideals
  454. Tue Jul 16 18:26:53 2019  reduce to 46388194 relations and 45269235 ideals in 6 passes
  455. Tue Jul 16 18:26:53 2019  max relations containing the same ideal: 83
  456. Tue Jul 16 18:27:31 2019  relations with 0 large ideals: 36056
  457. Tue Jul 16 18:27:31 2019  relations with 1 large ideals: 20721
  458. Tue Jul 16 18:27:31 2019  relations with 2 large ideals: 245040
  459. Tue Jul 16 18:27:31 2019  relations with 3 large ideals: 1493716
  460. Tue Jul 16 18:27:31 2019  relations with 4 large ideals: 4967809
  461. Tue Jul 16 18:27:31 2019  relations with 5 large ideals: 9914125
  462. Tue Jul 16 18:27:31 2019  relations with 6 large ideals: 12419077
  463. Tue Jul 16 18:27:31 2019  relations with 7+ large ideals: 17291650
  464. Tue Jul 16 18:27:31 2019  commencing 2-way merge
  465. Tue Jul 16 18:28:06 2019  reduce to 31056240 relation sets and 29937281 unique ideals
  466. Tue Jul 16 18:28:06 2019  commencing full merge
  467. Tue Jul 16 18:44:33 2019  memory use: 3823.4 MB
  468. Tue Jul 16 18:44:37 2019  found 13940780 cycles, need 13867481
  469. Tue Jul 16 18:44:44 2019  weight of 13867481 cycles is about 1636883978 (118.04/cycle)
  470. Tue Jul 16 18:44:44 2019  distribution of cycle lengths:
  471. Tue Jul 16 18:44:44 2019  1 relations: 606682
  472. Tue Jul 16 18:44:44 2019  2 relations: 868301
  473. Tue Jul 16 18:44:44 2019  3 relations: 1018250
  474. Tue Jul 16 18:44:44 2019  4 relations: 1047498
  475. Tue Jul 16 18:44:44 2019  5 relations: 1063511
  476. Tue Jul 16 18:44:44 2019  6 relations: 1034758
  477. Tue Jul 16 18:44:44 2019  7 relations: 1006253
  478. Tue Jul 16 18:44:44 2019  8 relations: 948162
  479. Tue Jul 16 18:44:44 2019  9 relations: 886797
  480. Tue Jul 16 18:44:44 2019  10+ relations: 5387269
  481. Tue Jul 16 18:44:44 2019  heaviest cycle: 28 relations
  482. Tue Jul 16 18:44:49 2019  commencing cycle optimization
  483. Tue Jul 16 18:45:24 2019  start with 120737856 relations
  484. Tue Jul 16 18:52:00 2019  pruned 5543812 relations
  485. Tue Jul 16 18:52:00 2019  memory use: 3170.4 MB
  486. Tue Jul 16 18:52:00 2019  distribution of cycle lengths:
  487. Tue Jul 16 18:52:00 2019  1 relations: 606682
  488. Tue Jul 16 18:52:00 2019  2 relations: 892048
  489. Tue Jul 16 18:52:00 2019  3 relations: 1064975
  490. Tue Jul 16 18:52:00 2019  4 relations: 1093771
  491. Tue Jul 16 18:52:00 2019  5 relations: 1118295
  492. Tue Jul 16 18:52:00 2019  6 relations: 1085357
  493. Tue Jul 16 18:52:00 2019  7 relations: 1056252
  494. Tue Jul 16 18:52:00 2019  8 relations: 990508
  495. Tue Jul 16 18:52:00 2019  9 relations: 924547
  496. Tue Jul 16 18:52:00 2019  10+ relations: 5035046
  497. Tue Jul 16 18:52:00 2019  heaviest cycle: 28 relations
  498. Tue Jul 16 18:52:44 2019  RelProcTime: 6464
  499. Tue Jul 16 18:52:44 2019  elapsed time 01:47:46
  500. Tue Jul 16 18:52:45 2019  
  501. Tue Jul 16 18:52:45 2019  
  502. Tue Jul 16 18:52:45 2019  Msieve v. 1.53 (SVN 993)
  503. Tue Jul 16 18:52:45 2019  random seeds: 8d507138 2126b3a7
  504. Tue Jul 16 18:52:45 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  505. Tue Jul 16 18:52:46 2019  no P-1/P+1/ECM available, skipping
  506. Tue Jul 16 18:52:46 2019  commencing number field sieve (245-digit input)
  507. Tue Jul 16 18:52:46 2019  R0: 452592555681759518058893560348969204658401
  508. Tue Jul 16 18:52:46 2019  R1: -147808829414345923316083210206383297601
  509. Tue Jul 16 18:52:46 2019  A0: -9
  510. Tue Jul 16 18:52:46 2019  A1: 0
  511. Tue Jul 16 18:52:46 2019  A2: 0
  512. Tue Jul 16 18:52:46 2019  A3: 0
  513. Tue Jul 16 18:52:46 2019  A4: 0
  514. Tue Jul 16 18:52:46 2019  A5: 0
  515. Tue Jul 16 18:52:46 2019  A6: 11
  516. Tue Jul 16 18:52:46 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  517. Tue Jul 16 18:52:46 2019  
  518. Tue Jul 16 18:52:46 2019  commencing relation filtering
  519. Tue Jul 16 18:52:46 2019  setting target matrix density to 126.0
  520. Tue Jul 16 18:52:46 2019  estimated available RAM is 95375.2 MB
  521. Tue Jul 16 18:52:46 2019  commencing duplicate removal, pass 1
  522. Tue Jul 16 19:21:19 2019  skipped 107 relations with b > 2^32
  523. Tue Jul 16 19:21:19 2019  skipped 2 relations with composite factors
  524. Tue Jul 16 19:21:19 2019  found 8019466 hash collisions in 191118867 relations
  525. Tue Jul 16 19:21:32 2019  commencing duplicate removal, pass 2
  526. Tue Jul 16 19:22:31 2019  found 0 duplicates and 191118867 unique relations
  527. Tue Jul 16 19:22:31 2019  memory use: 522.4 MB
  528. Tue Jul 16 19:22:31 2019  reading ideals above 720000
  529. Tue Jul 16 19:22:31 2019  commencing singleton removal, initial pass
  530. Tue Jul 16 19:56:59 2019  memory use: 5512.0 MB
  531. Tue Jul 16 19:57:00 2019  reading all ideals from disk
  532. Tue Jul 16 19:57:06 2019  memory use: 7660.3 MB
  533. Tue Jul 16 19:57:40 2019  keeping 178527471 ideals with weight <= 200, target excess is 964500
  534. Tue Jul 16 19:58:18 2019  commencing in-memory singleton removal
  535. Tue Jul 16 19:58:38 2019  begin with 191118867 relations and 178527471 unique ideals
  536. Tue Jul 16 20:02:39 2019  reduce to 124652133 relations and 105360598 ideals in 17 passes
  537. Tue Jul 16 20:02:39 2019  max relations containing the same ideal: 159
  538. Tue Jul 16 20:04:04 2019  removing 11589390 relations and 9589390 ideals in 2000000 cliques
  539. Tue Jul 16 20:04:09 2019  commencing in-memory singleton removal
  540. Tue Jul 16 20:04:20 2019  begin with 113062743 relations and 105360598 unique ideals
  541. Tue Jul 16 20:06:01 2019  reduce to 112169292 relations and 94858945 ideals in 9 passes
  542. Tue Jul 16 20:06:01 2019  max relations containing the same ideal: 149
  543. Tue Jul 16 20:07:11 2019  removing 8863820 relations and 6863820 ideals in 2000000 cliques
  544. Tue Jul 16 20:07:15 2019  commencing in-memory singleton removal
  545. Tue Jul 16 20:07:25 2019  begin with 103305472 relations and 94858945 unique ideals
  546. Tue Jul 16 20:08:36 2019  reduce to 102722978 relations and 87401672 ideals in 7 passes
  547. Tue Jul 16 20:08:36 2019  max relations containing the same ideal: 142
  548. Tue Jul 16 20:09:41 2019  removing 8028073 relations and 6028073 ideals in 2000000 cliques
  549. Tue Jul 16 20:09:44 2019  commencing in-memory singleton removal
  550. Tue Jul 16 20:09:54 2019  begin with 94694905 relations and 87401672 unique ideals
  551. Tue Jul 16 20:10:58 2019  reduce to 94179245 relations and 80848450 ideals in 7 passes
  552. Tue Jul 16 20:10:58 2019  max relations containing the same ideal: 133
  553. Tue Jul 16 20:11:59 2019  removing 7608203 relations and 5608203 ideals in 2000000 cliques
  554. Tue Jul 16 20:12:03 2019  commencing in-memory singleton removal
  555. Tue Jul 16 20:12:11 2019  begin with 86571042 relations and 80848450 unique ideals
  556. Tue Jul 16 20:13:09 2019  reduce to 86080209 relations and 74739818 ideals in 7 passes
  557. Tue Jul 16 20:13:09 2019  max relations containing the same ideal: 126
  558. Tue Jul 16 20:14:02 2019  removing 7348037 relations and 5348037 ideals in 2000000 cliques
  559. Tue Jul 16 20:14:05 2019  commencing in-memory singleton removal
  560. Tue Jul 16 20:14:13 2019  begin with 78732172 relations and 74739818 unique ideals
  561. Tue Jul 16 20:15:12 2019  reduce to 78248201 relations and 68897600 ideals in 8 passes
  562. Tue Jul 16 20:15:12 2019  max relations containing the same ideal: 119
  563. Tue Jul 16 20:16:04 2019  removing 7172537 relations and 5172537 ideals in 2000000 cliques
  564. Tue Jul 16 20:16:07 2019  commencing in-memory singleton removal
  565. Tue Jul 16 20:16:13 2019  begin with 71075664 relations and 68897600 unique ideals
  566. Tue Jul 16 20:17:00 2019  reduce to 70581820 relations and 63219961 ideals in 7 passes
  567. Tue Jul 16 20:17:00 2019  max relations containing the same ideal: 111
  568. Tue Jul 16 20:17:44 2019  removing 7053906 relations and 5053906 ideals in 2000000 cliques
  569. Tue Jul 16 20:17:47 2019  commencing in-memory singleton removal
  570. Tue Jul 16 20:17:53 2019  begin with 63527914 relations and 63219961 unique ideals
  571. Tue Jul 16 20:18:34 2019  reduce to 63009815 relations and 57635059 ideals in 7 passes
  572. Tue Jul 16 20:18:34 2019  max relations containing the same ideal: 102
  573. Tue Jul 16 20:19:14 2019  removing 6975677 relations and 4975677 ideals in 2000000 cliques
  574. Tue Jul 16 20:19:17 2019  commencing in-memory singleton removal
  575. Tue Jul 16 20:19:22 2019  begin with 56034138 relations and 57635059 unique ideals
  576. Tue Jul 16 20:19:58 2019  reduce to 55471413 relations and 52081101 ideals in 7 passes
  577. Tue Jul 16 20:19:58 2019  max relations containing the same ideal: 98
  578. Tue Jul 16 20:20:33 2019  removing 6939757 relations and 4939757 ideals in 2000000 cliques
  579. Tue Jul 16 20:20:36 2019  commencing in-memory singleton removal
  580. Tue Jul 16 20:20:41 2019  begin with 48531656 relations and 52081101 unique ideals
  581. Tue Jul 16 20:21:20 2019  reduce to 47887559 relations and 46477456 ideals in 9 passes
  582. Tue Jul 16 20:21:20 2019  max relations containing the same ideal: 85
  583. Tue Jul 16 20:21:52 2019  removing 1468872 relations and 1177590 ideals in 291282 cliques
  584. Tue Jul 16 20:21:54 2019  commencing in-memory singleton removal
  585. Tue Jul 16 20:21:58 2019  begin with 46418687 relations and 46477456 unique ideals
  586. Tue Jul 16 20:22:23 2019  reduce to 46388194 relations and 45269235 ideals in 6 passes
  587. Tue Jul 16 20:22:23 2019  max relations containing the same ideal: 83
  588. Tue Jul 16 20:23:03 2019  relations with 0 large ideals: 36056
  589. Tue Jul 16 20:23:03 2019  relations with 1 large ideals: 20721
  590. Tue Jul 16 20:23:03 2019  relations with 2 large ideals: 245040
  591. Tue Jul 16 20:23:03 2019  relations with 3 large ideals: 1493716
  592. Tue Jul 16 20:23:03 2019  relations with 4 large ideals: 4967809
  593. Tue Jul 16 20:23:03 2019  relations with 5 large ideals: 9914125
  594. Tue Jul 16 20:23:03 2019  relations with 6 large ideals: 12419077
  595. Tue Jul 16 20:23:03 2019  relations with 7+ large ideals: 17291650
  596. Tue Jul 16 20:23:03 2019  commencing 2-way merge
  597. Tue Jul 16 20:23:40 2019  reduce to 31056240 relation sets and 29937281 unique ideals
  598. Tue Jul 16 20:23:40 2019  commencing full merge
  599. Tue Jul 16 20:41:49 2019  memory use: 3843.5 MB
  600. Tue Jul 16 20:41:53 2019  found 13615666 cycles, need 13593481
  601. Tue Jul 16 20:42:00 2019  weight of 13593481 cycles is about 1713609203 (126.06/cycle)
  602. Tue Jul 16 20:42:00 2019  distribution of cycle lengths:
  603. Tue Jul 16 20:42:00 2019  1 relations: 529619
  604. Tue Jul 16 20:42:00 2019  2 relations: 771332
  605. Tue Jul 16 20:42:00 2019  3 relations: 918888
  606. Tue Jul 16 20:42:00 2019  4 relations: 957338
  607. Tue Jul 16 20:42:00 2019  5 relations: 976102
  608. Tue Jul 16 20:42:00 2019  6 relations: 962897
  609. Tue Jul 16 20:42:00 2019  7 relations: 943415
  610. Tue Jul 16 20:42:00 2019  8 relations: 899877
  611. Tue Jul 16 20:42:00 2019  9 relations: 849019
  612. Tue Jul 16 20:42:00 2019  10+ relations: 5784994
  613. Tue Jul 16 20:42:00 2019  heaviest cycle: 28 relations
  614. Tue Jul 16 20:42:06 2019  commencing cycle optimization
  615. Tue Jul 16 20:42:39 2019  start with 126240907 relations
  616. Tue Jul 16 20:50:27 2019  pruned 6136235 relations
  617. Tue Jul 16 20:50:27 2019  memory use: 3224.4 MB
  618. Tue Jul 16 20:50:27 2019  distribution of cycle lengths:
  619. Tue Jul 16 20:50:27 2019  1 relations: 529619
  620. Tue Jul 16 20:50:27 2019  2 relations: 792799
  621. Tue Jul 16 20:50:27 2019  3 relations: 961370
  622. Tue Jul 16 20:50:27 2019  4 relations: 1000951
  623. Tue Jul 16 20:50:27 2019  5 relations: 1028426
  624. Tue Jul 16 20:50:27 2019  6 relations: 1012449
  625. Tue Jul 16 20:50:27 2019  7 relations: 993904
  626. Tue Jul 16 20:50:27 2019  8 relations: 944028
  627. Tue Jul 16 20:50:27 2019  9 relations: 889659
  628. Tue Jul 16 20:50:27 2019  10+ relations: 5440276
  629. Tue Jul 16 20:50:27 2019  heaviest cycle: 28 relations
  630. Tue Jul 16 20:51:14 2019  RelProcTime: 7108
  631. Tue Jul 16 20:51:14 2019  elapsed time 01:58:29
  632. Tue Jul 16 20:51:15 2019  
  633. Tue Jul 16 20:51:15 2019  
  634. Tue Jul 16 20:51:15 2019  Msieve v. 1.53 (SVN 993)
  635. Tue Jul 16 20:51:15 2019  random seeds: c6561d97 a3d9a888
  636. Tue Jul 16 20:51:15 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  637. Tue Jul 16 20:51:16 2019  no P-1/P+1/ECM available, skipping
  638. Tue Jul 16 20:51:16 2019  commencing number field sieve (245-digit input)
  639. Tue Jul 16 20:51:16 2019  R0: 452592555681759518058893560348969204658401
  640. Tue Jul 16 20:51:16 2019  R1: -147808829414345923316083210206383297601
  641. Tue Jul 16 20:51:16 2019  A0: -9
  642. Tue Jul 16 20:51:16 2019  A1: 0
  643. Tue Jul 16 20:51:16 2019  A2: 0
  644. Tue Jul 16 20:51:16 2019  A3: 0
  645. Tue Jul 16 20:51:16 2019  A4: 0
  646. Tue Jul 16 20:51:16 2019  A5: 0
  647. Tue Jul 16 20:51:16 2019  A6: 11
  648. Tue Jul 16 20:51:16 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  649. Tue Jul 16 20:51:16 2019  
  650. Tue Jul 16 20:51:16 2019  commencing relation filtering
  651. Tue Jul 16 20:51:16 2019  setting target matrix density to 130.0
  652. Tue Jul 16 20:51:16 2019  estimated available RAM is 95375.2 MB
  653. Tue Jul 16 20:51:16 2019  commencing duplicate removal, pass 1
  654. Tue Jul 16 21:19:45 2019  skipped 107 relations with b > 2^32
  655. Tue Jul 16 21:19:45 2019  skipped 2 relations with composite factors
  656. Tue Jul 16 21:19:45 2019  found 8019466 hash collisions in 191118867 relations
  657. Tue Jul 16 21:19:58 2019  commencing duplicate removal, pass 2
  658. Tue Jul 16 21:20:56 2019  found 0 duplicates and 191118867 unique relations
  659. Tue Jul 16 21:20:56 2019  memory use: 522.4 MB
  660. Tue Jul 16 21:20:56 2019  reading ideals above 720000
  661. Tue Jul 16 21:20:56 2019  commencing singleton removal, initial pass
  662. Tue Jul 16 21:51:13 2019  memory use: 5512.0 MB
  663. Tue Jul 16 21:51:13 2019  reading all ideals from disk
  664. Tue Jul 16 21:51:18 2019  memory use: 7660.3 MB
  665. Tue Jul 16 21:51:46 2019  keeping 178527471 ideals with weight <= 200, target excess is 964500
  666. Tue Jul 16 21:52:16 2019  commencing in-memory singleton removal
  667. Tue Jul 16 21:52:36 2019  begin with 191118867 relations and 178527471 unique ideals
  668. Tue Jul 16 21:56:22 2019  reduce to 124652133 relations and 105360598 ideals in 17 passes
  669. Tue Jul 16 21:56:22 2019  max relations containing the same ideal: 159
  670. Tue Jul 16 21:57:36 2019  removing 11589390 relations and 9589390 ideals in 2000000 cliques
  671. Tue Jul 16 21:57:40 2019  commencing in-memory singleton removal
  672. Tue Jul 16 21:57:52 2019  begin with 113062743 relations and 105360598 unique ideals
  673. Tue Jul 16 21:59:32 2019  reduce to 112169292 relations and 94858945 ideals in 9 passes
  674. Tue Jul 16 21:59:32 2019  max relations containing the same ideal: 149
  675. Tue Jul 16 22:00:38 2019  removing 8863820 relations and 6863820 ideals in 2000000 cliques
  676. Tue Jul 16 22:00:42 2019  commencing in-memory singleton removal
  677. Tue Jul 16 22:00:52 2019  begin with 103305472 relations and 94858945 unique ideals
  678. Tue Jul 16 22:02:02 2019  reduce to 102722978 relations and 87401672 ideals in 7 passes
  679. Tue Jul 16 22:02:02 2019  max relations containing the same ideal: 142
  680. Tue Jul 16 22:03:03 2019  removing 8028073 relations and 6028073 ideals in 2000000 cliques
  681. Tue Jul 16 22:03:07 2019  commencing in-memory singleton removal
  682. Tue Jul 16 22:03:16 2019  begin with 94694905 relations and 87401672 unique ideals
  683. Tue Jul 16 22:04:20 2019  reduce to 94179245 relations and 80848450 ideals in 7 passes
  684. Tue Jul 16 22:04:20 2019  max relations containing the same ideal: 133
  685. Tue Jul 16 22:05:16 2019  removing 7608203 relations and 5608203 ideals in 2000000 cliques
  686. Tue Jul 16 22:05:19 2019  commencing in-memory singleton removal
  687. Tue Jul 16 22:05:28 2019  begin with 86571042 relations and 80848450 unique ideals
  688. Tue Jul 16 22:06:25 2019  reduce to 86080209 relations and 74739818 ideals in 7 passes
  689. Tue Jul 16 22:06:25 2019  max relations containing the same ideal: 126
  690. Tue Jul 16 22:07:17 2019  removing 7348037 relations and 5348037 ideals in 2000000 cliques
  691. Tue Jul 16 22:07:20 2019  commencing in-memory singleton removal
  692. Tue Jul 16 22:07:28 2019  begin with 78732172 relations and 74739818 unique ideals
  693. Tue Jul 16 22:08:27 2019  reduce to 78248201 relations and 68897600 ideals in 8 passes
  694. Tue Jul 16 22:08:27 2019  max relations containing the same ideal: 119
  695. Tue Jul 16 22:09:15 2019  removing 7172537 relations and 5172537 ideals in 2000000 cliques
  696. Tue Jul 16 22:09:18 2019  commencing in-memory singleton removal
  697. Tue Jul 16 22:09:25 2019  begin with 71075664 relations and 68897600 unique ideals
  698. Tue Jul 16 22:10:11 2019  reduce to 70581820 relations and 63219961 ideals in 7 passes
  699. Tue Jul 16 22:10:11 2019  max relations containing the same ideal: 111
  700. Tue Jul 16 22:10:54 2019  removing 7053906 relations and 5053906 ideals in 2000000 cliques
  701. Tue Jul 16 22:10:57 2019  commencing in-memory singleton removal
  702. Tue Jul 16 22:11:03 2019  begin with 63527914 relations and 63219961 unique ideals
  703. Tue Jul 16 22:11:44 2019  reduce to 63009815 relations and 57635059 ideals in 7 passes
  704. Tue Jul 16 22:11:44 2019  max relations containing the same ideal: 102
  705. Tue Jul 16 22:12:23 2019  removing 6975677 relations and 4975677 ideals in 2000000 cliques
  706. Tue Jul 16 22:12:26 2019  commencing in-memory singleton removal
  707. Tue Jul 16 22:12:31 2019  begin with 56034138 relations and 57635059 unique ideals
  708. Tue Jul 16 22:13:07 2019  reduce to 55471413 relations and 52081101 ideals in 7 passes
  709. Tue Jul 16 22:13:07 2019  max relations containing the same ideal: 98
  710. Tue Jul 16 22:13:41 2019  removing 6939757 relations and 4939757 ideals in 2000000 cliques
  711. Tue Jul 16 22:13:44 2019  commencing in-memory singleton removal
  712. Tue Jul 16 22:13:48 2019  begin with 48531656 relations and 52081101 unique ideals
  713. Tue Jul 16 22:14:27 2019  reduce to 47887559 relations and 46477456 ideals in 9 passes
  714. Tue Jul 16 22:14:27 2019  max relations containing the same ideal: 85
  715. Tue Jul 16 22:14:57 2019  removing 1468872 relations and 1177590 ideals in 291282 cliques
  716. Tue Jul 16 22:14:59 2019  commencing in-memory singleton removal
  717. Tue Jul 16 22:15:03 2019  begin with 46418687 relations and 46477456 unique ideals
  718. Tue Jul 16 22:15:28 2019  reduce to 46388194 relations and 45269235 ideals in 6 passes
  719. Tue Jul 16 22:15:28 2019  max relations containing the same ideal: 83
  720. Tue Jul 16 22:16:05 2019  relations with 0 large ideals: 36056
  721. Tue Jul 16 22:16:05 2019  relations with 1 large ideals: 20721
  722. Tue Jul 16 22:16:05 2019  relations with 2 large ideals: 245040
  723. Tue Jul 16 22:16:05 2019  relations with 3 large ideals: 1493716
  724. Tue Jul 16 22:16:05 2019  relations with 4 large ideals: 4967809
  725. Tue Jul 16 22:16:05 2019  relations with 5 large ideals: 9914125
  726. Tue Jul 16 22:16:05 2019  relations with 6 large ideals: 12419077
  727. Tue Jul 16 22:16:05 2019  relations with 7+ large ideals: 17291650
  728. Tue Jul 16 22:16:05 2019  commencing 2-way merge
  729. Tue Jul 16 22:16:40 2019  reduce to 31056240 relation sets and 29937281 unique ideals
  730. Tue Jul 16 22:16:40 2019  commencing full merge
  731. Tue Jul 16 22:46:38 2019  memory use: 1389.6 MB
  732. Tue Jul 16 22:46:38 2019  found 106489 cycles, need 6723020
  733. Tue Jul 16 22:46:38 2019  too few cycles, matrix probably cannot build
  734. Tue Jul 16 22:46:39 2019  
  735. Tue Jul 16 22:46:39 2019  
  736. Tue Jul 16 22:46:39 2019  Msieve v. 1.53 (SVN 993)
  737. Tue Jul 16 22:46:39 2019  random seeds: ee877771 a0fa655c
  738. Tue Jul 16 22:46:39 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  739. Tue Jul 16 22:46:40 2019  no P-1/P+1/ECM available, skipping
  740. Tue Jul 16 22:46:40 2019  commencing number field sieve (245-digit input)
  741. Tue Jul 16 22:46:40 2019  R0: 452592555681759518058893560348969204658401
  742. Tue Jul 16 22:46:40 2019  R1: -147808829414345923316083210206383297601
  743. Tue Jul 16 22:46:40 2019  A0: -9
  744. Tue Jul 16 22:46:40 2019  A1: 0
  745. Tue Jul 16 22:46:40 2019  A2: 0
  746. Tue Jul 16 22:46:40 2019  A3: 0
  747. Tue Jul 16 22:46:40 2019  A4: 0
  748. Tue Jul 16 22:46:40 2019  A5: 0
  749. Tue Jul 16 22:46:40 2019  A6: 11
  750. Tue Jul 16 22:46:40 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  751. Tue Jul 16 22:46:40 2019  
  752. Tue Jul 16 22:46:40 2019  commencing relation filtering
  753. Tue Jul 16 22:46:40 2019  setting target matrix density to 128.0
  754. Tue Jul 16 22:46:40 2019  estimated available RAM is 95375.2 MB
  755. Tue Jul 16 22:46:40 2019  commencing duplicate removal, pass 1
  756. Tue Jul 16 23:14:50 2019  skipped 107 relations with b > 2^32
  757. Tue Jul 16 23:14:50 2019  skipped 2 relations with composite factors
  758. Tue Jul 16 23:14:50 2019  found 8019466 hash collisions in 191118867 relations
  759. Tue Jul 16 23:15:03 2019  commencing duplicate removal, pass 2
  760. Tue Jul 16 23:16:02 2019  found 0 duplicates and 191118867 unique relations
  761. Tue Jul 16 23:16:02 2019  memory use: 522.4 MB
  762. Tue Jul 16 23:16:02 2019  reading ideals above 720000
  763. Tue Jul 16 23:16:02 2019  commencing singleton removal, initial pass
  764. Tue Jul 16 23:45:24 2019  memory use: 5512.0 MB
  765. Tue Jul 16 23:45:25 2019  reading all ideals from disk
  766. Tue Jul 16 23:45:30 2019  memory use: 7660.3 MB
  767. Tue Jul 16 23:45:57 2019  keeping 178527471 ideals with weight <= 200, target excess is 964500
  768. Tue Jul 16 23:46:27 2019  commencing in-memory singleton removal
  769. Tue Jul 16 23:46:45 2019  begin with 191118867 relations and 178527471 unique ideals
  770. Tue Jul 16 23:50:23 2019  reduce to 124652133 relations and 105360598 ideals in 17 passes
  771. Tue Jul 16 23:50:23 2019  max relations containing the same ideal: 159
  772. Tue Jul 16 23:51:37 2019  removing 11589390 relations and 9589390 ideals in 2000000 cliques
  773. Tue Jul 16 23:51:41 2019  commencing in-memory singleton removal
  774. Tue Jul 16 23:51:53 2019  begin with 113062743 relations and 105360598 unique ideals
  775. Tue Jul 16 23:53:30 2019  reduce to 112169292 relations and 94858945 ideals in 9 passes
  776. Tue Jul 16 23:53:30 2019  max relations containing the same ideal: 149
  777. Tue Jul 16 23:54:35 2019  removing 8863820 relations and 6863820 ideals in 2000000 cliques
  778. Tue Jul 16 23:54:39 2019  commencing in-memory singleton removal
  779. Tue Jul 16 23:54:49 2019  begin with 103305472 relations and 94858945 unique ideals
  780. Tue Jul 16 23:55:56 2019  reduce to 102722978 relations and 87401672 ideals in 7 passes
  781. Tue Jul 16 23:55:56 2019  max relations containing the same ideal: 142
  782. Tue Jul 16 23:56:58 2019  removing 8028073 relations and 6028073 ideals in 2000000 cliques
  783. Tue Jul 16 23:57:02 2019  commencing in-memory singleton removal
  784. Tue Jul 16 23:57:11 2019  begin with 94694905 relations and 87401672 unique ideals
  785. Tue Jul 16 23:58:12 2019  reduce to 94179245 relations and 80848450 ideals in 7 passes
  786. Tue Jul 16 23:58:12 2019  max relations containing the same ideal: 133
  787. Tue Jul 16 23:59:08 2019  removing 7608203 relations and 5608203 ideals in 2000000 cliques
  788. Tue Jul 16 23:59:11 2019  commencing in-memory singleton removal
  789. Tue Jul 16 23:59:19 2019  begin with 86571042 relations and 80848450 unique ideals
  790. Wed Jul 17 00:00:15 2019  reduce to 86080209 relations and 74739818 ideals in 7 passes
  791. Wed Jul 17 00:00:15 2019  max relations containing the same ideal: 126
  792. Wed Jul 17 00:01:10 2019  removing 7348037 relations and 5348037 ideals in 2000000 cliques
  793. Wed Jul 17 00:01:13 2019  commencing in-memory singleton removal
  794. Wed Jul 17 00:01:21 2019  begin with 78732172 relations and 74739818 unique ideals
  795. Wed Jul 17 00:02:17 2019  reduce to 78248201 relations and 68897600 ideals in 8 passes
  796. Wed Jul 17 00:02:17 2019  max relations containing the same ideal: 119
  797. Wed Jul 17 00:03:06 2019  removing 7172537 relations and 5172537 ideals in 2000000 cliques
  798. Wed Jul 17 00:03:09 2019  commencing in-memory singleton removal
  799. Wed Jul 17 00:03:16 2019  begin with 71075664 relations and 68897600 unique ideals
  800. Wed Jul 17 00:04:00 2019  reduce to 70581820 relations and 63219961 ideals in 7 passes
  801. Wed Jul 17 00:04:00 2019  max relations containing the same ideal: 111
  802. Wed Jul 17 00:04:46 2019  removing 7053906 relations and 5053906 ideals in 2000000 cliques
  803. Wed Jul 17 00:04:49 2019  commencing in-memory singleton removal
  804. Wed Jul 17 00:04:55 2019  begin with 63527914 relations and 63219961 unique ideals
  805. Wed Jul 17 00:05:34 2019  reduce to 63009815 relations and 57635059 ideals in 7 passes
  806. Wed Jul 17 00:05:34 2019  max relations containing the same ideal: 102
  807. Wed Jul 17 00:06:16 2019  removing 6975677 relations and 4975677 ideals in 2000000 cliques
  808. Wed Jul 17 00:06:19 2019  commencing in-memory singleton removal
  809. Wed Jul 17 00:06:24 2019  begin with 56034138 relations and 57635059 unique ideals
  810. Wed Jul 17 00:06:58 2019  reduce to 55471413 relations and 52081101 ideals in 7 passes
  811. Wed Jul 17 00:06:58 2019  max relations containing the same ideal: 98
  812. Wed Jul 17 00:07:36 2019  removing 6939757 relations and 4939757 ideals in 2000000 cliques
  813. Wed Jul 17 00:07:38 2019  commencing in-memory singleton removal
  814. Wed Jul 17 00:07:43 2019  begin with 48531656 relations and 52081101 unique ideals
  815. Wed Jul 17 00:08:20 2019  reduce to 47887559 relations and 46477456 ideals in 9 passes
  816. Wed Jul 17 00:08:20 2019  max relations containing the same ideal: 85
  817. Wed Jul 17 00:08:49 2019  removing 1468872 relations and 1177590 ideals in 291282 cliques
  818. Wed Jul 17 00:08:51 2019  commencing in-memory singleton removal
  819. Wed Jul 17 00:08:55 2019  begin with 46418687 relations and 46477456 unique ideals
  820. Wed Jul 17 00:09:19 2019  reduce to 46388194 relations and 45269235 ideals in 6 passes
  821. Wed Jul 17 00:09:19 2019  max relations containing the same ideal: 83
  822. Wed Jul 17 00:09:54 2019  relations with 0 large ideals: 36056
  823. Wed Jul 17 00:09:54 2019  relations with 1 large ideals: 20721
  824. Wed Jul 17 00:09:54 2019  relations with 2 large ideals: 245040
  825. Wed Jul 17 00:09:54 2019  relations with 3 large ideals: 1493716
  826. Wed Jul 17 00:09:54 2019  relations with 4 large ideals: 4967809
  827. Wed Jul 17 00:09:54 2019  relations with 5 large ideals: 9914125
  828. Wed Jul 17 00:09:54 2019  relations with 6 large ideals: 12419077
  829. Wed Jul 17 00:09:54 2019  relations with 7+ large ideals: 17291650
  830. Wed Jul 17 00:09:54 2019  commencing 2-way merge
  831. Wed Jul 17 00:10:28 2019  reduce to 31056240 relation sets and 29937281 unique ideals
  832. Wed Jul 17 00:10:28 2019  commencing full merge
  833. Wed Jul 17 00:28:17 2019  memory use: 3846.9 MB
  834. Wed Jul 17 00:28:21 2019  found 13535630 cycles, need 13529481
  835. Wed Jul 17 00:28:28 2019  weight of 13529481 cycles is about 1732535447 (128.06/cycle)
  836. Wed Jul 17 00:28:28 2019  distribution of cycle lengths:
  837. Wed Jul 17 00:28:28 2019  1 relations: 515738
  838. Wed Jul 17 00:28:28 2019  2 relations: 754873
  839. Wed Jul 17 00:28:28 2019  3 relations: 896749
  840. Wed Jul 17 00:28:28 2019  4 relations: 934811
  841. Wed Jul 17 00:28:28 2019  5 relations: 955990
  842. Wed Jul 17 00:28:28 2019  6 relations: 944838
  843. Wed Jul 17 00:28:28 2019  7 relations: 925900
  844. Wed Jul 17 00:28:28 2019  8 relations: 887316
  845. Wed Jul 17 00:28:28 2019  9 relations: 838093
  846. Wed Jul 17 00:28:28 2019  10+ relations: 5875173
  847. Wed Jul 17 00:28:28 2019  heaviest cycle: 28 relations
  848. Wed Jul 17 00:28:33 2019  commencing cycle optimization
  849. Wed Jul 17 00:29:06 2019  start with 127578024 relations
  850. Wed Jul 17 00:36:13 2019  pruned 6276975 relations
  851. Wed Jul 17 00:36:13 2019  memory use: 3237.4 MB
  852. Wed Jul 17 00:36:13 2019  distribution of cycle lengths:
  853. Wed Jul 17 00:36:13 2019  1 relations: 515738
  854. Wed Jul 17 00:36:13 2019  2 relations: 775766
  855. Wed Jul 17 00:36:13 2019  3 relations: 938103
  856. Wed Jul 17 00:36:13 2019  4 relations: 977654
  857. Wed Jul 17 00:36:13 2019  5 relations: 1007276
  858. Wed Jul 17 00:36:13 2019  6 relations: 993866
  859. Wed Jul 17 00:36:13 2019  7 relations: 976208
  860. Wed Jul 17 00:36:13 2019  8 relations: 931518
  861. Wed Jul 17 00:36:13 2019  9 relations: 879735
  862. Wed Jul 17 00:36:13 2019  10+ relations: 5533617
  863. Wed Jul 17 00:36:13 2019  heaviest cycle: 28 relations
  864. Wed Jul 17 00:36:57 2019  RelProcTime: 6617
  865. Wed Jul 17 00:36:57 2019  elapsed time 01:50:18
  866. Sun Jul 21 08:14:58 2019  
  867. Sun Jul 21 08:14:58 2019  
  868. Sun Jul 21 08:14:58 2019  Msieve v. 1.54 (SVN 1022M)
  869. Sun Jul 21 08:14:58 2019  random seeds: f8c710ea fedacf42
  870. Sun Jul 21 08:14:58 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  871. Sun Jul 21 08:14:59 2019  no P-1/P+1/ECM available, skipping
  872. Sun Jul 21 08:14:59 2019  commencing number field sieve (245-digit input)
  873. Sun Jul 21 08:14:59 2019  R0: 452592555681759518058893560348969204658401
  874. Sun Jul 21 08:14:59 2019  R1: -147808829414345923316083210206383297601
  875. Sun Jul 21 08:14:59 2019  A0: -9
  876. Sun Jul 21 08:14:59 2019  A1: 0
  877. Sun Jul 21 08:14:59 2019  A2: 0
  878. Sun Jul 21 08:14:59 2019  A3: 0
  879. Sun Jul 21 08:14:59 2019  A4: 0
  880. Sun Jul 21 08:14:59 2019  A5: 0
  881. Sun Jul 21 08:14:59 2019  A6: 11
  882. Sun Jul 21 08:14:59 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  883. Sun Jul 21 08:14:59 2019  
  884. Sun Jul 21 08:14:59 2019  commencing linear algebra
  885. Sun Jul 21 08:15:00 2019  read 13529481 cycles
  886. Sun Jul 21 08:15:19 2019  cycles contain 45821836 unique relations
  887. Sun Jul 21 08:18:19 2019  read 45821836 relations
  888. Sun Jul 21 08:19:30 2019  using 20 quadratic characters above 4294917295
  889. Sun Jul 21 08:22:09 2019  building initial matrix
  890. Sun Jul 21 08:29:26 2019  memory use: 5829.9 MB
  891. Sun Jul 21 08:29:30 2019  read 13529481 cycles
  892. Sun Jul 21 08:29:32 2019  matrix is 13529304 x 13529481 (6676.1 MB) with weight 1897560607 (140.25/col)
  893. Sun Jul 21 08:29:32 2019  sparse part has weight 1614795147 (119.35/col)
  894. Sun Jul 21 08:32:06 2019  filtering completed in 2 passes
  895. Sun Jul 21 08:32:08 2019  matrix is 13529236 x 13529411 (6676.1 MB) with weight 1897558495 (140.25/col)
  896. Sun Jul 21 08:32:08 2019  sparse part has weight 1614794551 (119.35/col)
  897. Sun Jul 21 08:33:07 2019  matrix starts at (0, 0)
  898. Sun Jul 21 08:33:08 2019  matrix is 13529236 x 13529411 (6676.1 MB) with weight 1897558495 (140.25/col)
  899. Sun Jul 21 08:33:08 2019  sparse part has weight 1614794551 (119.35/col)
  900. Sun Jul 21 08:33:08 2019  saving the first 112 matrix rows for later
  901. Sun Jul 21 08:33:10 2019  matrix includes 128 packed rows
  902. Sun Jul 21 08:33:13 2019  matrix is 13529124 x 13529411 (6190.9 MB) with weight 1545413869 (114.23/col)
  903. Sun Jul 21 08:33:13 2019  sparse part has weight 1460561687 (107.95/col)
  904. Sun Jul 21 08:33:13 2019  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
  905. Sun Jul 21 08:33:41 2019  commencing Lanczos iteration (4 threads)
  906. Sun Jul 21 08:33:41 2019  memory use: 6779.3 MB
  907. Sun Jul 21 08:34:38 2019  linear algebra at 0.0%, ETA 130h30m
  908. Sun Jul 21 08:34:55 2019  checkpointing every 110000 dimensions
  909. Fri Jul 26 15:31:48 2019  lanczos halted after 106333 iterations (dim = 13529123)
  910. Fri Jul 26 15:32:08 2019  recovered 35 nontrivial dependencies
  911. Fri Jul 26 15:32:09 2019  BLanczosTime: 458230
  912. Fri Jul 26 15:32:09 2019  elapsed time 127:17:11
  913. Fri Jul 26 15:32:09 2019  
  914. Fri Jul 26 15:32:09 2019  
  915. Fri Jul 26 15:32:09 2019  Msieve v. 1.54 (SVN 1022M)
  916. Fri Jul 26 15:32:09 2019  random seeds: b7e81849 bf15a524
  917. Fri Jul 26 15:32:09 2019  factoring 13550065231969324766418665170644205505007981027934791571584123097424530705981356538589112343931386173871210371106233602239806630763928094880489111639457676056737524952591130082942833302608408821112713449337119045184695131884188945275237776070053 (245 digits)
  918. Fri Jul 26 15:32:10 2019  no P-1/P+1/ECM available, skipping
  919. Fri Jul 26 15:32:10 2019  commencing number field sieve (245-digit input)
  920. Fri Jul 26 15:32:10 2019  R0: 452592555681759518058893560348969204658401
  921. Fri Jul 26 15:32:10 2019  R1: -147808829414345923316083210206383297601
  922. Fri Jul 26 15:32:10 2019  A0: -9
  923. Fri Jul 26 15:32:10 2019  A1: 0
  924. Fri Jul 26 15:32:10 2019  A2: 0
  925. Fri Jul 26 15:32:10 2019  A3: 0
  926. Fri Jul 26 15:32:10 2019  A4: 0
  927. Fri Jul 26 15:32:10 2019  A5: 0
  928. Fri Jul 26 15:32:10 2019  A6: 11
  929. Fri Jul 26 15:32:10 2019  skew 0.97, size 1.845e-12, alpha 1.515, combined = 1.845e-13 rroots = 2
  930. Fri Jul 26 15:32:10 2019  
  931. Fri Jul 26 15:32:10 2019  commencing square root phase
  932. Fri Jul 26 15:32:10 2019  reading relations for dependency 1
  933. Fri Jul 26 15:32:11 2019  read 6765313 cycles
  934. Fri Jul 26 15:32:20 2019  cycles contain 22908998 unique relations
  935. Fri Jul 26 15:33:43 2019  read 22908998 relations
  936. Fri Jul 26 15:34:49 2019  multiplying 22908998 relations
  937. Fri Jul 26 15:50:16 2019  multiply complete, coefficients have about 655.70 million bits
  938. Fri Jul 26 15:50:18 2019  initial square root is modulo 763237
  939. Fri Jul 26 16:06:14 2019  GCD is 1, no factor found
  940. Fri Jul 26 16:06:14 2019  reading relations for dependency 2
  941. Fri Jul 26 16:06:15 2019  read 6764704 cycles
  942. Fri Jul 26 16:06:24 2019  cycles contain 22910846 unique relations
  943. Fri Jul 26 16:07:47 2019  read 22910846 relations
  944. Fri Jul 26 16:08:59 2019  multiplying 22910846 relations
  945. Fri Jul 26 16:24:29 2019  multiply complete, coefficients have about 655.75 million bits
  946. Fri Jul 26 16:24:31 2019  initial square root is modulo 763957
  947. Fri Jul 26 16:40:25 2019  GCD is N, no factor found
  948. Fri Jul 26 16:40:25 2019  reading relations for dependency 3
  949. Fri Jul 26 16:40:26 2019  read 6764664 cycles
  950. Fri Jul 26 16:40:35 2019  cycles contain 22908528 unique relations
  951. Fri Jul 26 16:41:58 2019  read 22908528 relations
  952. Fri Jul 26 16:43:02 2019  multiplying 22908528 relations
  953. Fri Jul 26 16:58:29 2019  multiply complete, coefficients have about 655.68 million bits
  954. Fri Jul 26 16:58:31 2019  initial square root is modulo 763027
  955. Fri Jul 26 17:14:23 2019  sqrtTime: 6133
  956. Fri Jul 26 17:14:23 2019  p111 factor: 859037938234911913785492216783720762349124072422062147206590600827689729320234375053685329998946500684966340461
  957. Fri Jul 26 17:14:23 2019  p134 factor: 15773535287406518948050238261381403452269955601554525009188523508707453214035770223318227641781582501653016275158597619348410721512473
  958. Fri Jul 26 17:14:23 2019  elapsed time 01:42:14
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