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  1. Tue Feb  6 19:32:14 2018  
  2. Tue Feb  6 19:32:14 2018  
  3. Tue Feb  6 19:32:14 2018  Msieve v. 1.53 (SVN 993)
  4. Tue Feb  6 19:32:14 2018  random seeds: 9a1dab17 c16e2131
  5. Tue Feb  6 19:32:14 2018  factoring 740843158145301885144302881400144094232016853507800146020350775678879645627210752290390002049774689499251299832421765821192074503814835353656625471932492520824197470260249654306215852161 (186 digits)
  6. Tue Feb  6 19:32:15 2018  no P-1/P+1/ECM available, skipping
  7. Tue Feb  6 19:32:15 2018  commencing number field sieve (186-digit input)
  8. Tue Feb  6 19:32:15 2018  R0: -497151789567376997149143157791438833
  9. Tue Feb  6 19:32:15 2018  R1: 22967515538473979
  10. Tue Feb  6 19:32:15 2018  A0: -22911240941755714959913869256229501947811760
  11. Tue Feb  6 19:32:15 2018  A1: 119134339073502996833480053728564485472
  12. Tue Feb  6 19:32:15 2018  A2: 8345068005889382004040151134428
  13. Tue Feb  6 19:32:15 2018  A3: -110222429503683528885454
  14. Tue Feb  6 19:32:15 2018  A4: -3617884251179875
  15. Tue Feb  6 19:32:15 2018  A5: 24393900
  16. Tue Feb  6 19:32:15 2018  skew 45211792.87, size 3.265e-18, alpha -8.485, combined = 3.566e-14 rroots = 5
  17. Tue Feb  6 19:32:15 2018  
  18. Tue Feb  6 19:32:15 2018  commencing relation filtering
  19. Tue Feb  6 19:32:15 2018  setting target matrix density to 70.0
  20. Tue Feb  6 19:32:15 2018  estimated available RAM is 15931.0 MB
  21. Tue Feb  6 19:32:15 2018  commencing duplicate removal, pass 1
  22.  5538 errors
  23. Tue Feb  6 20:44:43 2018  skipped 1976 relations with composite factors
  24. Tue Feb  6 20:44:43 2018  found 105892871 hash collisions in 467362556 relations
  25. Tue Feb  6 20:45:12 2018  added 122062 free relations
  26. Tue Feb  6 20:45:12 2018  commencing duplicate removal, pass 2
  27. Tue Feb  6 20:50:54 2018  found 98316030 duplicates and 369168588 unique relations
  28. Tue Feb  6 20:50:54 2018  memory use: 2387.0 MB
  29. Tue Feb  6 20:50:54 2018  reading ideals above 299958272
  30. Tue Feb  6 20:50:54 2018  commencing singleton removal, initial pass
  31. Tue Feb  6 21:36:53 2018  memory use: 6024.0 MB
  32. Tue Feb  6 21:36:53 2018  reading all ideals from disk
  33. Tue Feb  6 21:37:12 2018  memory use: 6200.5 MB
  34. Tue Feb  6 21:38:12 2018  commencing in-memory singleton removal
  35. Tue Feb  6 21:39:12 2018  begin with 369168588 relations and 304346558 unique ideals
  36. Tue Feb  6 21:47:41 2018  reduce to 237245775 relations and 158758971 ideals in 13 passes
  37. Tue Feb  6 21:47:41 2018  max relations containing the same ideal: 41
  38. Tue Feb  6 21:48:20 2018  reading ideals above 720000
  39. Tue Feb  6 21:48:20 2018  commencing singleton removal, initial pass
  40. Tue Feb  6 22:30:45 2018  memory use: 5512.0 MB
  41. Tue Feb  6 22:30:46 2018  reading large ideals from disk
  42. Tue Feb  6 22:33:45 2018  keeping 170731428 ideals with weight <= 20, target excess is 20524957
  43. Tue Feb  6 22:36:56 2018  memory use: 5286.7 MB
  44. Tue Feb  6 22:36:56 2018  commencing in-memory singleton removal
  45. Tue Feb  6 22:37:11 2018  begin with 237245775 relations and 170731428 unique ideals
  46. Tue Feb  6 22:39:34 2018  reduce to 237204746 relations and 170690399 ideals in 9 passes
  47. Tue Feb  6 22:39:34 2018  max relations containing the same ideal: 20
  48. Tue Feb  6 22:41:20 2018  removing 12301018 relations and 10301018 ideals in 2000000 cliques
  49. Tue Feb  6 22:41:25 2018  commencing in-memory singleton removal
  50. Tue Feb  6 22:41:39 2018  begin with 224903728 relations and 170690399 unique ideals
  51. Tue Feb  6 22:43:55 2018  reduce to 224382618 relations and 159862484 ideals in 9 passes
  52. Tue Feb  6 22:43:55 2018  max relations containing the same ideal: 20
  53. Tue Feb  6 22:45:36 2018  removing 9187547 relations and 7187547 ideals in 2000000 cliques
  54. Tue Feb  6 22:45:42 2018  commencing in-memory singleton removal
  55. Tue Feb  6 22:45:55 2018  begin with 215195071 relations and 159862484 unique ideals
  56. Tue Feb  6 22:47:35 2018  reduce to 214855243 relations and 152331750 ideals in 7 passes
  57. Tue Feb  6 22:47:35 2018  max relations containing the same ideal: 20
  58. Tue Feb  6 22:49:11 2018  removing 8236310 relations and 6236310 ideals in 2000000 cliques
  59. Tue Feb  6 22:49:17 2018  commencing in-memory singleton removal
  60. Tue Feb  6 22:49:30 2018  begin with 206618933 relations and 152331750 unique ideals
  61. Tue Feb  6 22:51:08 2018  reduce to 206326408 relations and 145800099 ideals in 7 passes
  62. Tue Feb  6 22:51:08 2018  max relations containing the same ideal: 20
  63. Tue Feb  6 22:52:40 2018  removing 7722828 relations and 5722828 ideals in 2000000 cliques
  64. Tue Feb  6 22:52:45 2018  commencing in-memory singleton removal
  65. Tue Feb  6 22:52:56 2018  begin with 198603580 relations and 145800099 unique ideals
  66. Tue Feb  6 22:54:39 2018  reduce to 198333227 relations and 139804376 ideals in 8 passes
  67. Tue Feb  6 22:54:39 2018  max relations containing the same ideal: 20
  68. Tue Feb  6 22:56:08 2018  removing 7390346 relations and 5390346 ideals in 2000000 cliques
  69. Tue Feb  6 22:56:13 2018  commencing in-memory singleton removal
  70. Tue Feb  6 22:56:25 2018  begin with 190942881 relations and 139804376 unique ideals
  71. Tue Feb  6 22:58:04 2018  reduce to 190683462 relations and 134152026 ideals in 8 passes
  72. Tue Feb  6 22:58:04 2018  max relations containing the same ideal: 20
  73. Tue Feb  6 22:59:30 2018  removing 7195372 relations and 5195372 ideals in 2000000 cliques
  74. Tue Feb  6 22:59:35 2018  commencing in-memory singleton removal
  75. Tue Feb  6 22:59:46 2018  begin with 183488090 relations and 134152026 unique ideals
  76. Tue Feb  6 23:01:09 2018  reduce to 183235462 relations and 128701435 ideals in 7 passes
  77. Tue Feb  6 23:01:09 2018  max relations containing the same ideal: 20
  78. Tue Feb  6 23:02:32 2018  removing 7016607 relations and 5016607 ideals in 2000000 cliques
  79. Tue Feb  6 23:02:36 2018  commencing in-memory singleton removal
  80. Tue Feb  6 23:02:47 2018  begin with 176218855 relations and 128701435 unique ideals
  81. Tue Feb  6 23:04:07 2018  reduce to 175976238 relations and 123439676 ideals in 7 passes
  82. Tue Feb  6 23:04:07 2018  max relations containing the same ideal: 20
  83. Tue Feb  6 23:05:27 2018  removing 6873731 relations and 4873731 ideals in 2000000 cliques
  84. Tue Feb  6 23:05:31 2018  commencing in-memory singleton removal
  85. Tue Feb  6 23:05:41 2018  begin with 169102507 relations and 123439676 unique ideals
  86. Tue Feb  6 23:07:05 2018  reduce to 168850649 relations and 118311301 ideals in 8 passes
  87. Tue Feb  6 23:07:05 2018  max relations containing the same ideal: 20
  88. Tue Feb  6 23:08:22 2018  removing 6838285 relations and 4838285 ideals in 2000000 cliques
  89. Tue Feb  6 23:08:27 2018  commencing in-memory singleton removal
  90. Tue Feb  6 23:08:36 2018  begin with 162012364 relations and 118311301 unique ideals
  91. Tue Feb  6 23:09:46 2018  reduce to 161771723 relations and 113229592 ideals in 7 passes
  92. Tue Feb  6 23:09:46 2018  max relations containing the same ideal: 20
  93. Tue Feb  6 23:11:00 2018  removing 6708268 relations and 4708268 ideals in 2000000 cliques
  94. Tue Feb  6 23:11:05 2018  commencing in-memory singleton removal
  95. Tue Feb  6 23:11:14 2018  begin with 155063455 relations and 113229592 unique ideals
  96. Tue Feb  6 23:12:21 2018  reduce to 154811131 relations and 108265956 ideals in 7 passes
  97. Tue Feb  6 23:12:21 2018  max relations containing the same ideal: 20
  98. Tue Feb  6 23:13:32 2018  removing 6600001 relations and 4600001 ideals in 2000000 cliques
  99. Tue Feb  6 23:13:36 2018  commencing in-memory singleton removal
  100. Tue Feb  6 23:13:45 2018  begin with 148211130 relations and 108265956 unique ideals
  101. Tue Feb  6 23:14:41 2018  reduce to 147945740 relations and 103397077 ideals in 6 passes
  102. Tue Feb  6 23:14:41 2018  max relations containing the same ideal: 20
  103. Tue Feb  6 23:15:49 2018  removing 6650877 relations and 4650877 ideals in 2000000 cliques
  104. Tue Feb  6 23:15:52 2018  commencing in-memory singleton removal
  105. Tue Feb  6 23:16:00 2018  begin with 141294863 relations and 103397077 unique ideals
  106. Tue Feb  6 23:17:01 2018  reduce to 141035461 relations and 98483290 ideals in 7 passes
  107. Tue Feb  6 23:17:01 2018  max relations containing the same ideal: 20
  108. Tue Feb  6 23:18:07 2018  removing 6591699 relations and 4591699 ideals in 2000000 cliques
  109. Tue Feb  6 23:18:11 2018  commencing in-memory singleton removal
  110. Tue Feb  6 23:18:18 2018  begin with 134443762 relations and 98483290 unique ideals
  111. Tue Feb  6 23:19:16 2018  reduce to 134174708 relations and 93618719 ideals in 7 passes
  112. Tue Feb  6 23:19:16 2018  max relations containing the same ideal: 20
  113. Tue Feb  6 23:20:19 2018  removing 6541755 relations and 4541755 ideals in 2000000 cliques
  114. Tue Feb  6 23:20:23 2018  commencing in-memory singleton removal
  115. Tue Feb  6 23:20:29 2018  begin with 127632953 relations and 93618719 unique ideals
  116. Tue Feb  6 23:21:23 2018  reduce to 127344694 relations and 88784469 ideals in 7 passes
  117. Tue Feb  6 23:21:23 2018  max relations containing the same ideal: 20
  118. Tue Feb  6 23:22:23 2018  removing 6500792 relations and 4500792 ideals in 2000000 cliques
  119. Tue Feb  6 23:22:27 2018  commencing in-memory singleton removal
  120. Tue Feb  6 23:22:33 2018  begin with 120843902 relations and 88784469 unique ideals
  121. Tue Feb  6 23:23:24 2018  reduce to 120539934 relations and 83974995 ideals in 7 passes
  122. Tue Feb  6 23:23:24 2018  max relations containing the same ideal: 20
  123. Tue Feb  6 23:24:19 2018  removing 6544076 relations and 4544076 ideals in 2000000 cliques
  124. Tue Feb  6 23:24:22 2018  commencing in-memory singleton removal
  125. Tue Feb  6 23:24:28 2018  begin with 113995858 relations and 83974995 unique ideals
  126. Tue Feb  6 23:25:23 2018  reduce to 113685562 relations and 79115551 ideals in 8 passes
  127. Tue Feb  6 23:25:23 2018  max relations containing the same ideal: 20
  128. Tue Feb  6 23:26:10 2018  removing 6590793 relations and 4590793 ideals in 2000000 cliques
  129. Tue Feb  6 23:26:14 2018  commencing in-memory singleton removal
  130. Tue Feb  6 23:26:20 2018  begin with 107094769 relations and 79115551 unique ideals
  131. Tue Feb  6 23:27:09 2018  reduce to 106776932 relations and 74201480 ideals in 8 passes
  132. Tue Feb  6 23:27:09 2018  max relations containing the same ideal: 19
  133. Tue Feb  6 23:27:54 2018  removing 6525346 relations and 4525346 ideals in 2000000 cliques
  134. Tue Feb  6 23:27:57 2018  commencing in-memory singleton removal
  135. Tue Feb  6 23:28:02 2018  begin with 100251586 relations and 74201480 unique ideals
  136. Tue Feb  6 23:28:49 2018  reduce to 99907380 relations and 69325678 ideals in 8 passes
  137. Tue Feb  6 23:28:49 2018  max relations containing the same ideal: 19
  138. Tue Feb  6 23:29:31 2018  removing 6529507 relations and 4529507 ideals in 2000000 cliques
  139. Tue Feb  6 23:29:34 2018  commencing in-memory singleton removal
  140. Tue Feb  6 23:29:39 2018  begin with 93377873 relations and 69325678 unique ideals
  141. Tue Feb  6 23:30:26 2018  reduce to 92964941 relations and 64375163 ideals in 9 passes
  142. Tue Feb  6 23:30:26 2018  max relations containing the same ideal: 19
  143. Tue Feb  6 23:31:04 2018  removing 6550032 relations and 4550032 ideals in 2000000 cliques
  144. Tue Feb  6 23:31:07 2018  commencing in-memory singleton removal
  145. Tue Feb  6 23:31:11 2018  begin with 86414909 relations and 64375163 unique ideals
  146. Tue Feb  6 23:31:48 2018  reduce to 85969356 relations and 59370023 ideals in 8 passes
  147. Tue Feb  6 23:31:48 2018  max relations containing the same ideal: 19
  148. Tue Feb  6 23:32:24 2018  removing 6670121 relations and 4670121 ideals in 2000000 cliques
  149. Tue Feb  6 23:32:27 2018  commencing in-memory singleton removal
  150. Tue Feb  6 23:32:31 2018  begin with 79299235 relations and 59370023 unique ideals
  151. Tue Feb  6 23:33:09 2018  reduce to 78834430 relations and 54224359 ideals in 9 passes
  152. Tue Feb  6 23:33:09 2018  max relations containing the same ideal: 18
  153. Tue Feb  6 23:33:42 2018  removing 2870692 relations and 2069572 ideals in 801120 cliques
  154. Tue Feb  6 23:33:44 2018  commencing in-memory singleton removal
  155. Tue Feb  6 23:33:48 2018  begin with 75963738 relations and 54224359 unique ideals
  156. Tue Feb  6 23:34:21 2018  reduce to 75842475 relations and 52032060 ideals in 8 passes
  157. Tue Feb  6 23:34:21 2018  max relations containing the same ideal: 18
  158. Tue Feb  6 23:34:56 2018  relations with 0 large ideals: 4422479
  159. Tue Feb  6 23:34:56 2018  relations with 1 large ideals: 19686749
  160. Tue Feb  6 23:34:56 2018  relations with 2 large ideals: 29709077
  161. Tue Feb  6 23:34:56 2018  relations with 3 large ideals: 17456169
  162. Tue Feb  6 23:34:56 2018  relations with 4 large ideals: 4126310
  163. Tue Feb  6 23:34:56 2018  relations with 5 large ideals: 418684
  164. Tue Feb  6 23:34:56 2018  relations with 6 large ideals: 22308
  165. Tue Feb  6 23:34:56 2018  relations with 7+ large ideals: 699
  166. Tue Feb  6 23:34:56 2018  commencing 2-way merge
  167. Tue Feb  6 23:35:34 2018  reduce to 45558669 relation sets and 21748254 unique ideals
  168. Tue Feb  6 23:35:34 2018  commencing full merge
  169. Tue Feb  6 23:39:58 2018  memory use: 2170.5 MB
  170. Tue Feb  6 23:40:06 2018  found 25011631 cycles, need 21748454
  171. Tue Feb  6 23:40:13 2018  weight of 21748454 cycles is about 1692489374 (77.82/cycle)
  172. Tue Feb  6 23:40:15 2018  distribution of cycle lengths:
  173. Tue Feb  6 23:40:15 2018  1 relations: 4449485
  174. Tue Feb  6 23:40:15 2018  2 relations: 2261619
  175. Tue Feb  6 23:40:15 2018  3 relations: 1932511
  176. Tue Feb  6 23:40:15 2018  4 relations: 1802570
  177. Tue Feb  6 23:40:15 2018  5 relations: 1775281
  178. Tue Feb  6 23:40:15 2018  6 relations: 1700696
  179. Tue Feb  6 23:40:15 2018  7 relations: 1626506
  180. Tue Feb  6 23:40:15 2018  8 relations: 1510669
  181. Tue Feb  6 23:40:15 2018  9 relations: 1365468
  182. Tue Feb  6 23:40:15 2018  10+ relations: 3323649
  183. Tue Feb  6 23:40:15 2018  heaviest cycle: 15 relations
  184. Tue Feb  6 23:40:16 2018  commencing cycle optimization
  185. Tue Feb  6 23:41:03 2018  start with 113679178 relations
  186. Tue Feb  6 23:44:00 2018  pruned 5569334 relations
  187. Tue Feb  6 23:44:01 2018  memory use: 3674.6 MB
  188. Tue Feb  6 23:44:01 2018  distribution of cycle lengths:
  189. Tue Feb  6 23:44:01 2018  1 relations: 4449485
  190. Tue Feb  6 23:44:01 2018  2 relations: 2354158
  191. Tue Feb  6 23:44:01 2018  3 relations: 2060167
  192. Tue Feb  6 23:44:01 2018  4 relations: 1934460
  193. Tue Feb  6 23:44:01 2018  5 relations: 1928000
  194. Tue Feb  6 23:44:01 2018  6 relations: 1842294
  195. Tue Feb  6 23:44:01 2018  7 relations: 1745379
  196. Tue Feb  6 23:44:01 2018  8 relations: 1569537
  197. Tue Feb  6 23:44:01 2018  9 relations: 1349844
  198. Tue Feb  6 23:44:01 2018  10+ relations: 2515130
  199. Tue Feb  6 23:44:01 2018  heaviest cycle: 15 relations
  200. Tue Feb  6 23:44:52 2018  RelProcTime: 15157
  201. Tue Feb  6 23:45:08 2018  elapsed time 04:12:54
  202. Tue Feb  6 23:45:09 2018  
  203. Tue Feb  6 23:45:09 2018  
  204. Tue Feb  6 23:45:09 2018  Msieve v. 1.53 (SVN 993)
  205. Tue Feb  6 23:45:09 2018  random seeds: 79443b2d 2ffead34
  206. Tue Feb  6 23:45:09 2018  factoring 740843158145301885144302881400144094232016853507800146020350775678879645627210752290390002049774689499251299832421765821192074503814835353656625471932492520824197470260249654306215852161 (186 digits)
  207. Tue Feb  6 23:45:10 2018  no P-1/P+1/ECM available, skipping
  208. Tue Feb  6 23:45:10 2018  commencing number field sieve (186-digit input)
  209. Tue Feb  6 23:45:10 2018  R0: -497151789567376997149143157791438833
  210. Tue Feb  6 23:45:10 2018  R1: 22967515538473979
  211. Tue Feb  6 23:45:10 2018  A0: -22911240941755714959913869256229501947811760
  212. Tue Feb  6 23:45:10 2018  A1: 119134339073502996833480053728564485472
  213. Tue Feb  6 23:45:10 2018  A2: 8345068005889382004040151134428
  214. Tue Feb  6 23:45:10 2018  A3: -110222429503683528885454
  215. Tue Feb  6 23:45:10 2018  A4: -3617884251179875
  216. Tue Feb  6 23:45:10 2018  A5: 24393900
  217. Tue Feb  6 23:45:10 2018  skew 45211792.87, size 3.265e-18, alpha -8.485, combined = 3.566e-14 rroots = 5
  218. Tue Feb  6 23:45:10 2018  
  219. Tue Feb  6 23:45:10 2018  commencing relation filtering
  220. Tue Feb  6 23:45:10 2018  setting target matrix density to 134.0
  221. Tue Feb  6 23:45:10 2018  estimated available RAM is 15931.0 MB
  222. Tue Feb  6 23:45:10 2018  commencing duplicate removal, pass 1
  223.  5538 errors
  224. Wed Feb  7 00:58:12 2018  skipped 1976 relations with composite factors
  225. Wed Feb  7 00:58:12 2018  found 105907316 hash collisions in 467484618 relations
  226. Wed Feb  7 00:58:41 2018  commencing duplicate removal, pass 2
  227. Wed Feb  7 01:04:20 2018  found 98316030 duplicates and 369168588 unique relations
  228. Wed Feb  7 01:04:20 2018  memory use: 2387.0 MB
  229. Wed Feb  7 01:04:20 2018  reading ideals above 299958272
  230. Wed Feb  7 01:04:20 2018  commencing singleton removal, initial pass
  231. Wed Feb  7 01:52:45 2018  memory use: 6024.0 MB
  232. Wed Feb  7 01:52:45 2018  reading all ideals from disk
  233. Wed Feb  7 01:53:05 2018  memory use: 6200.5 MB
  234. Wed Feb  7 01:54:02 2018  commencing in-memory singleton removal
  235. Wed Feb  7 01:55:02 2018  begin with 369168588 relations and 304346558 unique ideals
  236. Wed Feb  7 02:03:31 2018  reduce to 237245775 relations and 158758971 ideals in 13 passes
  237. Wed Feb  7 02:03:31 2018  max relations containing the same ideal: 41
  238. Wed Feb  7 02:04:08 2018  reading ideals above 720000
  239. Wed Feb  7 02:04:09 2018  commencing singleton removal, initial pass
  240. Wed Feb  7 02:49:37 2018  memory use: 5512.0 MB
  241. Wed Feb  7 02:49:37 2018  reading large ideals from disk
  242. Wed Feb  7 02:52:46 2018  keeping 170731428 ideals with weight <= 20, target excess is 20524957
  243. Wed Feb  7 02:56:01 2018  memory use: 5286.7 MB
  244. Wed Feb  7 02:56:01 2018  commencing in-memory singleton removal
  245. Wed Feb  7 02:56:18 2018  begin with 237245775 relations and 170731428 unique ideals
  246. Wed Feb  7 02:59:00 2018  reduce to 237204746 relations and 170690399 ideals in 9 passes
  247. Wed Feb  7 02:59:00 2018  max relations containing the same ideal: 20
  248. Wed Feb  7 03:00:53 2018  removing 12301018 relations and 10301018 ideals in 2000000 cliques
  249. Wed Feb  7 03:00:58 2018  commencing in-memory singleton removal
  250. Wed Feb  7 03:01:12 2018  begin with 224903728 relations and 170690399 unique ideals
  251. Wed Feb  7 03:03:27 2018  reduce to 224382618 relations and 159862484 ideals in 9 passes
  252. Wed Feb  7 03:03:27 2018  max relations containing the same ideal: 20
  253. Wed Feb  7 03:05:08 2018  removing 9187547 relations and 7187547 ideals in 2000000 cliques
  254. Wed Feb  7 03:05:13 2018  commencing in-memory singleton removal
  255. Wed Feb  7 03:05:26 2018  begin with 215195071 relations and 159862484 unique ideals
  256. Wed Feb  7 03:07:07 2018  reduce to 214855243 relations and 152331750 ideals in 7 passes
  257. Wed Feb  7 03:07:07 2018  max relations containing the same ideal: 20
  258. Wed Feb  7 03:08:44 2018  removing 8236310 relations and 6236310 ideals in 2000000 cliques
  259. Wed Feb  7 03:08:49 2018  commencing in-memory singleton removal
  260. Wed Feb  7 03:09:02 2018  begin with 206618933 relations and 152331750 unique ideals
  261. Wed Feb  7 03:10:37 2018  reduce to 206326408 relations and 145800099 ideals in 7 passes
  262. Wed Feb  7 03:10:37 2018  max relations containing the same ideal: 20
  263. Wed Feb  7 03:12:11 2018  removing 7722828 relations and 5722828 ideals in 2000000 cliques
  264. Wed Feb  7 03:12:16 2018  commencing in-memory singleton removal
  265. Wed Feb  7 03:12:28 2018  begin with 198603580 relations and 145800099 unique ideals
  266. Wed Feb  7 03:14:13 2018  reduce to 198333227 relations and 139804376 ideals in 8 passes
  267. Wed Feb  7 03:14:13 2018  max relations containing the same ideal: 20
  268. Wed Feb  7 03:15:44 2018  removing 7390346 relations and 5390346 ideals in 2000000 cliques
  269. Wed Feb  7 03:15:49 2018  commencing in-memory singleton removal
  270. Wed Feb  7 03:16:00 2018  begin with 190942881 relations and 139804376 unique ideals
  271. Wed Feb  7 03:17:42 2018  reduce to 190683462 relations and 134152026 ideals in 8 passes
  272. Wed Feb  7 03:17:42 2018  max relations containing the same ideal: 20
  273. Wed Feb  7 03:19:04 2018  removing 7195372 relations and 5195372 ideals in 2000000 cliques
  274. Wed Feb  7 03:19:09 2018  commencing in-memory singleton removal
  275. Wed Feb  7 03:19:19 2018  begin with 183488090 relations and 134152026 unique ideals
  276. Wed Feb  7 03:20:42 2018  reduce to 183235462 relations and 128701435 ideals in 7 passes
  277. Wed Feb  7 03:20:42 2018  max relations containing the same ideal: 20
  278. Wed Feb  7 03:22:02 2018  removing 7016607 relations and 5016607 ideals in 2000000 cliques
  279. Wed Feb  7 03:22:07 2018  commencing in-memory singleton removal
  280. Wed Feb  7 03:22:18 2018  begin with 176218855 relations and 128701435 unique ideals
  281. Wed Feb  7 03:23:37 2018  reduce to 175976238 relations and 123439676 ideals in 7 passes
  282. Wed Feb  7 03:23:37 2018  max relations containing the same ideal: 20
  283. Wed Feb  7 03:24:55 2018  removing 6873731 relations and 4873731 ideals in 2000000 cliques
  284. Wed Feb  7 03:24:59 2018  commencing in-memory singleton removal
  285. Wed Feb  7 03:25:09 2018  begin with 169102507 relations and 123439676 unique ideals
  286. Wed Feb  7 03:26:35 2018  reduce to 168850649 relations and 118311301 ideals in 8 passes
  287. Wed Feb  7 03:26:35 2018  max relations containing the same ideal: 20
  288. Wed Feb  7 03:27:51 2018  removing 6838285 relations and 4838285 ideals in 2000000 cliques
  289. Wed Feb  7 03:27:55 2018  commencing in-memory singleton removal
  290. Wed Feb  7 03:28:04 2018  begin with 162012364 relations and 118311301 unique ideals
  291. Wed Feb  7 03:29:16 2018  reduce to 161771723 relations and 113229592 ideals in 7 passes
  292. Wed Feb  7 03:29:16 2018  max relations containing the same ideal: 20
  293. Wed Feb  7 03:30:28 2018  removing 6708268 relations and 4708268 ideals in 2000000 cliques
  294. Wed Feb  7 03:30:33 2018  commencing in-memory singleton removal
  295. Wed Feb  7 03:30:42 2018  begin with 155063455 relations and 113229592 unique ideals
  296. Wed Feb  7 03:31:50 2018  reduce to 154811131 relations and 108265956 ideals in 7 passes
  297. Wed Feb  7 03:31:50 2018  max relations containing the same ideal: 20
  298. Wed Feb  7 03:32:59 2018  removing 6600001 relations and 4600001 ideals in 2000000 cliques
  299. Wed Feb  7 03:33:03 2018  commencing in-memory singleton removal
  300. Wed Feb  7 03:33:12 2018  begin with 148211130 relations and 108265956 unique ideals
  301. Wed Feb  7 03:34:07 2018  reduce to 147945740 relations and 103397077 ideals in 6 passes
  302. Wed Feb  7 03:34:07 2018  max relations containing the same ideal: 20
  303. Wed Feb  7 03:35:15 2018  removing 6650877 relations and 4650877 ideals in 2000000 cliques
  304. Wed Feb  7 03:35:19 2018  commencing in-memory singleton removal
  305. Wed Feb  7 03:35:26 2018  begin with 141294863 relations and 103397077 unique ideals
  306. Wed Feb  7 03:36:27 2018  reduce to 141035461 relations and 98483290 ideals in 7 passes
  307. Wed Feb  7 03:36:27 2018  max relations containing the same ideal: 20
  308. Wed Feb  7 03:37:32 2018  removing 6591699 relations and 4591699 ideals in 2000000 cliques
  309. Wed Feb  7 03:37:36 2018  commencing in-memory singleton removal
  310. Wed Feb  7 03:37:44 2018  begin with 134443762 relations and 98483290 unique ideals
  311. Wed Feb  7 03:38:42 2018  reduce to 134174708 relations and 93618719 ideals in 7 passes
  312. Wed Feb  7 03:38:42 2018  max relations containing the same ideal: 20
  313. Wed Feb  7 03:39:44 2018  removing 6541755 relations and 4541755 ideals in 2000000 cliques
  314. Wed Feb  7 03:39:47 2018  commencing in-memory singleton removal
  315. Wed Feb  7 03:39:54 2018  begin with 127632953 relations and 93618719 unique ideals
  316. Wed Feb  7 03:40:47 2018  reduce to 127344694 relations and 88784469 ideals in 7 passes
  317. Wed Feb  7 03:40:47 2018  max relations containing the same ideal: 20
  318. Wed Feb  7 03:41:46 2018  removing 6500792 relations and 4500792 ideals in 2000000 cliques
  319. Wed Feb  7 03:41:49 2018  commencing in-memory singleton removal
  320. Wed Feb  7 03:41:56 2018  begin with 120843902 relations and 88784469 unique ideals
  321. Wed Feb  7 03:42:47 2018  reduce to 120539934 relations and 83974995 ideals in 7 passes
  322. Wed Feb  7 03:42:47 2018  max relations containing the same ideal: 20
  323. Wed Feb  7 03:43:42 2018  removing 6544076 relations and 4544076 ideals in 2000000 cliques
  324. Wed Feb  7 03:43:45 2018  commencing in-memory singleton removal
  325. Wed Feb  7 03:43:51 2018  begin with 113995858 relations and 83974995 unique ideals
  326. Wed Feb  7 03:44:47 2018  reduce to 113685562 relations and 79115551 ideals in 8 passes
  327. Wed Feb  7 03:44:47 2018  max relations containing the same ideal: 20
  328. Wed Feb  7 03:45:34 2018  removing 6590793 relations and 4590793 ideals in 2000000 cliques
  329. Wed Feb  7 03:45:38 2018  commencing in-memory singleton removal
  330. Wed Feb  7 03:45:43 2018  begin with 107094769 relations and 79115551 unique ideals
  331. Wed Feb  7 03:46:34 2018  reduce to 106776932 relations and 74201480 ideals in 8 passes
  332. Wed Feb  7 03:46:34 2018  max relations containing the same ideal: 19
  333. Wed Feb  7 03:47:20 2018  removing 6525346 relations and 4525346 ideals in 2000000 cliques
  334. Wed Feb  7 03:47:23 2018  commencing in-memory singleton removal
  335. Wed Feb  7 03:47:28 2018  begin with 100251586 relations and 74201480 unique ideals
  336. Wed Feb  7 03:48:15 2018  reduce to 99907380 relations and 69325678 ideals in 8 passes
  337. Wed Feb  7 03:48:15 2018  max relations containing the same ideal: 19
  338. Wed Feb  7 03:48:56 2018  removing 6529507 relations and 4529507 ideals in 2000000 cliques
  339. Wed Feb  7 03:48:59 2018  commencing in-memory singleton removal
  340. Wed Feb  7 03:49:03 2018  begin with 93377873 relations and 69325678 unique ideals
  341. Wed Feb  7 03:49:52 2018  reduce to 92964941 relations and 64375163 ideals in 9 passes
  342. Wed Feb  7 03:49:52 2018  max relations containing the same ideal: 19
  343. Wed Feb  7 03:50:31 2018  removing 6550032 relations and 4550032 ideals in 2000000 cliques
  344. Wed Feb  7 03:50:34 2018  commencing in-memory singleton removal
  345. Wed Feb  7 03:50:38 2018  begin with 86414909 relations and 64375163 unique ideals
  346. Wed Feb  7 03:51:17 2018  reduce to 85969356 relations and 59370023 ideals in 8 passes
  347. Wed Feb  7 03:51:17 2018  max relations containing the same ideal: 19
  348. Wed Feb  7 03:51:53 2018  removing 6670121 relations and 4670121 ideals in 2000000 cliques
  349. Wed Feb  7 03:51:56 2018  commencing in-memory singleton removal
  350. Wed Feb  7 03:52:00 2018  begin with 79299235 relations and 59370023 unique ideals
  351. Wed Feb  7 03:52:42 2018  reduce to 78834430 relations and 54224359 ideals in 9 passes
  352. Wed Feb  7 03:52:42 2018  max relations containing the same ideal: 18
  353. Wed Feb  7 03:53:14 2018  removing 2870692 relations and 2069572 ideals in 801120 cliques
  354. Wed Feb  7 03:53:16 2018  commencing in-memory singleton removal
  355. Wed Feb  7 03:53:20 2018  begin with 75963738 relations and 54224359 unique ideals
  356. Wed Feb  7 03:53:52 2018  reduce to 75842475 relations and 52032060 ideals in 8 passes
  357. Wed Feb  7 03:53:52 2018  max relations containing the same ideal: 18
  358. Wed Feb  7 03:54:27 2018  relations with 0 large ideals: 4422479
  359. Wed Feb  7 03:54:27 2018  relations with 1 large ideals: 19686749
  360. Wed Feb  7 03:54:27 2018  relations with 2 large ideals: 29709077
  361. Wed Feb  7 03:54:27 2018  relations with 3 large ideals: 17456169
  362. Wed Feb  7 03:54:27 2018  relations with 4 large ideals: 4126310
  363. Wed Feb  7 03:54:27 2018  relations with 5 large ideals: 418684
  364. Wed Feb  7 03:54:27 2018  relations with 6 large ideals: 22308
  365. Wed Feb  7 03:54:27 2018  relations with 7+ large ideals: 699
  366. Wed Feb  7 03:54:27 2018  commencing 2-way merge
  367. Wed Feb  7 03:55:05 2018  reduce to 45558669 relation sets and 21748254 unique ideals
  368. Wed Feb  7 03:55:05 2018  commencing full merge
  369. Wed Feb  7 04:00:11 2018  memory use: 2101.1 MB
  370. Wed Feb  7 04:00:18 2018  found 23563671 cycles, need 20770157
  371. Wed Feb  7 04:00:26 2018  weight of 20770157 cycles is about 2050390099 (98.72/cycle)
  372. Wed Feb  7 04:00:27 2018  distribution of cycle lengths:
  373. Wed Feb  7 04:00:27 2018  1 relations: 4422610
  374. Wed Feb  7 04:00:27 2018  2 relations: 1990410
  375. Wed Feb  7 04:00:27 2018  3 relations: 1476432
  376. Wed Feb  7 04:00:27 2018  4 relations: 1279905
  377. Wed Feb  7 04:00:27 2018  5 relations: 1210230
  378. Wed Feb  7 04:00:27 2018  6 relations: 1155664
  379. Wed Feb  7 04:00:27 2018  7 relations: 1122079
  380. Wed Feb  7 04:00:27 2018  8 relations: 1079798
  381. Wed Feb  7 04:00:27 2018  9 relations: 1035790
  382. Wed Feb  7 04:00:27 2018  10+ relations: 5997239
  383. Wed Feb  7 04:00:27 2018  heaviest cycle: 21 relations
  384. Wed Feb  7 04:00:28 2018  commencing cycle optimization
  385. Wed Feb  7 04:01:22 2018  start with 135465562 relations
  386. Wed Feb  7 04:05:51 2018  pruned 11059995 relations
  387. Wed Feb  7 04:05:52 2018  memory use: 3860.8 MB
  388. Wed Feb  7 04:05:52 2018  distribution of cycle lengths:
  389. Wed Feb  7 04:05:52 2018  1 relations: 4422610
  390. Wed Feb  7 04:05:52 2018  2 relations: 2067710
  391. Wed Feb  7 04:05:52 2018  3 relations: 1575291
  392. Wed Feb  7 04:05:52 2018  4 relations: 1390197
  393. Wed Feb  7 04:05:52 2018  5 relations: 1347137
  394. Wed Feb  7 04:05:52 2018  6 relations: 1308575
  395. Wed Feb  7 04:05:52 2018  7 relations: 1286571
  396. Wed Feb  7 04:05:52 2018  8 relations: 1236332
  397. Wed Feb  7 04:05:52 2018  9 relations: 1175399
  398. Wed Feb  7 04:05:52 2018  10+ relations: 4960335
  399. Wed Feb  7 04:05:52 2018  heaviest cycle: 20 relations
  400. Wed Feb  7 04:06:49 2018  RelProcTime: 15699
  401. Wed Feb  7 04:07:05 2018  elapsed time 04:21:56
  402. Wed Feb  7 04:07:05 2018  
  403. Wed Feb  7 04:07:05 2018  
  404. Wed Feb  7 04:07:05 2018  Msieve v. 1.53 (SVN 993)
  405. Wed Feb  7 04:07:05 2018  random seeds: fcecb937 4fcdee63
  406. Wed Feb  7 04:07:05 2018  factoring 740843158145301885144302881400144094232016853507800146020350775678879645627210752290390002049774689499251299832421765821192074503814835353656625471932492520824197470260249654306215852161 (186 digits)
  407. Wed Feb  7 04:07:06 2018  no P-1/P+1/ECM available, skipping
  408. Wed Feb  7 04:07:06 2018  commencing number field sieve (186-digit input)
  409. Wed Feb  7 04:07:06 2018  R0: -497151789567376997149143157791438833
  410. Wed Feb  7 04:07:06 2018  R1: 22967515538473979
  411. Wed Feb  7 04:07:06 2018  A0: -22911240941755714959913869256229501947811760
  412. Wed Feb  7 04:07:06 2018  A1: 119134339073502996833480053728564485472
  413. Wed Feb  7 04:07:06 2018  A2: 8345068005889382004040151134428
  414. Wed Feb  7 04:07:06 2018  A3: -110222429503683528885454
  415. Wed Feb  7 04:07:06 2018  A4: -3617884251179875
  416. Wed Feb  7 04:07:06 2018  A5: 24393900
  417. Wed Feb  7 04:07:06 2018  skew 45211792.87, size 3.265e-18, alpha -8.485, combined = 3.566e-14 rroots = 5
  418. Wed Feb  7 04:07:06 2018  
  419. Wed Feb  7 04:07:06 2018  commencing relation filtering
  420. Wed Feb  7 04:07:06 2018  setting target matrix density to 198.0
  421. Wed Feb  7 04:07:06 2018  estimated available RAM is 15931.0 MB
  422. Wed Feb  7 04:07:06 2018  commencing duplicate removal, pass 1
  423.  5538 errors
  424. Wed Feb  7 05:18:46 2018  skipped 1976 relations with composite factors
  425. Wed Feb  7 05:18:46 2018  found 105907316 hash collisions in 467484618 relations
  426. Wed Feb  7 05:19:15 2018  commencing duplicate removal, pass 2
  427. Wed Feb  7 05:24:53 2018  found 98316030 duplicates and 369168588 unique relations
  428. Wed Feb  7 05:24:53 2018  memory use: 2387.0 MB
  429. Wed Feb  7 05:24:53 2018  reading ideals above 299958272
  430. Wed Feb  7 05:24:53 2018  commencing singleton removal, initial pass
  431. Wed Feb  7 06:10:26 2018  memory use: 6024.0 MB
  432. Wed Feb  7 06:10:26 2018  reading all ideals from disk
  433. Wed Feb  7 06:10:45 2018  memory use: 6200.5 MB
  434. Wed Feb  7 06:11:45 2018  commencing in-memory singleton removal
  435. Wed Feb  7 06:12:45 2018  begin with 369168588 relations and 304346558 unique ideals
  436. Wed Feb  7 06:21:10 2018  reduce to 237245775 relations and 158758971 ideals in 13 passes
  437. Wed Feb  7 06:21:10 2018  max relations containing the same ideal: 41
  438. Wed Feb  7 06:21:47 2018  reading ideals above 720000
  439. Wed Feb  7 06:21:47 2018  commencing singleton removal, initial pass
  440. Wed Feb  7 07:04:52 2018  memory use: 5512.0 MB
  441. Wed Feb  7 07:04:53 2018  reading large ideals from disk
  442. Wed Feb  7 07:07:58 2018  keeping 170731428 ideals with weight <= 20, target excess is 20524957
  443. Wed Feb  7 07:11:08 2018  memory use: 5286.7 MB
  444. Wed Feb  7 07:11:08 2018  commencing in-memory singleton removal
  445. Wed Feb  7 07:11:23 2018  begin with 237245775 relations and 170731428 unique ideals
  446. Wed Feb  7 07:13:48 2018  reduce to 237204746 relations and 170690399 ideals in 9 passes
  447. Wed Feb  7 07:13:48 2018  max relations containing the same ideal: 20
  448. Wed Feb  7 07:15:33 2018  removing 12301018 relations and 10301018 ideals in 2000000 cliques
  449. Wed Feb  7 07:15:38 2018  commencing in-memory singleton removal
  450. Wed Feb  7 07:15:53 2018  begin with 224903728 relations and 170690399 unique ideals
  451. Wed Feb  7 07:18:08 2018  reduce to 224382618 relations and 159862484 ideals in 9 passes
  452. Wed Feb  7 07:18:08 2018  max relations containing the same ideal: 20
  453. Wed Feb  7 07:19:45 2018  removing 9187547 relations and 7187547 ideals in 2000000 cliques
  454. Wed Feb  7 07:19:51 2018  commencing in-memory singleton removal
  455. Wed Feb  7 07:20:04 2018  begin with 215195071 relations and 159862484 unique ideals
  456. Wed Feb  7 07:21:43 2018  reduce to 214855243 relations and 152331750 ideals in 7 passes
  457. Wed Feb  7 07:21:43 2018  max relations containing the same ideal: 20
  458. Wed Feb  7 07:23:16 2018  removing 8236310 relations and 6236310 ideals in 2000000 cliques
  459. Wed Feb  7 07:23:21 2018  commencing in-memory singleton removal
  460. Wed Feb  7 07:23:34 2018  begin with 206618933 relations and 152331750 unique ideals
  461. Wed Feb  7 07:25:12 2018  reduce to 206326408 relations and 145800099 ideals in 7 passes
  462. Wed Feb  7 07:25:12 2018  max relations containing the same ideal: 20
  463. Wed Feb  7 07:26:42 2018  removing 7722828 relations and 5722828 ideals in 2000000 cliques
  464. Wed Feb  7 07:26:47 2018  commencing in-memory singleton removal
  465. Wed Feb  7 07:26:59 2018  begin with 198603580 relations and 145800099 unique ideals
  466. Wed Feb  7 07:28:43 2018  reduce to 198333227 relations and 139804376 ideals in 8 passes
  467. Wed Feb  7 07:28:43 2018  max relations containing the same ideal: 20
  468. Wed Feb  7 07:30:09 2018  removing 7390346 relations and 5390346 ideals in 2000000 cliques
  469. Wed Feb  7 07:30:14 2018  commencing in-memory singleton removal
  470. Wed Feb  7 07:30:25 2018  begin with 190942881 relations and 139804376 unique ideals
  471. Wed Feb  7 07:32:05 2018  reduce to 190683462 relations and 134152026 ideals in 8 passes
  472. Wed Feb  7 07:32:05 2018  max relations containing the same ideal: 20
  473. Wed Feb  7 07:33:29 2018  removing 7195372 relations and 5195372 ideals in 2000000 cliques
  474. Wed Feb  7 07:33:33 2018  commencing in-memory singleton removal
  475. Wed Feb  7 07:33:44 2018  begin with 183488090 relations and 134152026 unique ideals
  476. Wed Feb  7 07:35:09 2018  reduce to 183235462 relations and 128701435 ideals in 7 passes
  477. Wed Feb  7 07:35:09 2018  max relations containing the same ideal: 20
  478. Wed Feb  7 07:36:29 2018  removing 7016607 relations and 5016607 ideals in 2000000 cliques
  479. Wed Feb  7 07:36:34 2018  commencing in-memory singleton removal
  480. Wed Feb  7 07:36:44 2018  begin with 176218855 relations and 128701435 unique ideals
  481. Wed Feb  7 07:38:07 2018  reduce to 175976238 relations and 123439676 ideals in 7 passes
  482. Wed Feb  7 07:38:07 2018  max relations containing the same ideal: 20
  483. Wed Feb  7 07:39:24 2018  removing 6873731 relations and 4873731 ideals in 2000000 cliques
  484. Wed Feb  7 07:39:28 2018  commencing in-memory singleton removal
  485. Wed Feb  7 07:39:38 2018  begin with 169102507 relations and 123439676 unique ideals
  486. Wed Feb  7 07:41:04 2018  reduce to 168850649 relations and 118311301 ideals in 8 passes
  487. Wed Feb  7 07:41:04 2018  max relations containing the same ideal: 20
  488. Wed Feb  7 07:42:20 2018  removing 6838285 relations and 4838285 ideals in 2000000 cliques
  489. Wed Feb  7 07:42:25 2018  commencing in-memory singleton removal
  490. Wed Feb  7 07:42:34 2018  begin with 162012364 relations and 118311301 unique ideals
  491. Wed Feb  7 07:43:49 2018  reduce to 161771723 relations and 113229592 ideals in 7 passes
  492. Wed Feb  7 07:43:49 2018  max relations containing the same ideal: 20
  493. Wed Feb  7 07:45:01 2018  removing 6708268 relations and 4708268 ideals in 2000000 cliques
  494. Wed Feb  7 07:45:05 2018  commencing in-memory singleton removal
  495. Wed Feb  7 07:45:14 2018  begin with 155063455 relations and 113229592 unique ideals
  496. Wed Feb  7 07:46:21 2018  reduce to 154811131 relations and 108265956 ideals in 7 passes
  497. Wed Feb  7 07:46:21 2018  max relations containing the same ideal: 20
  498. Wed Feb  7 07:47:31 2018  removing 6600001 relations and 4600001 ideals in 2000000 cliques
  499. Wed Feb  7 07:47:35 2018  commencing in-memory singleton removal
  500. Wed Feb  7 07:47:43 2018  begin with 148211130 relations and 108265956 unique ideals
  501. Wed Feb  7 07:48:40 2018  reduce to 147945740 relations and 103397077 ideals in 6 passes
  502. Wed Feb  7 07:48:40 2018  max relations containing the same ideal: 20
  503. Wed Feb  7 07:49:48 2018  removing 6650877 relations and 4650877 ideals in 2000000 cliques
  504. Wed Feb  7 07:49:52 2018  commencing in-memory singleton removal
  505. Wed Feb  7 07:50:00 2018  begin with 141294863 relations and 103397077 unique ideals
  506. Wed Feb  7 07:51:02 2018  reduce to 141035461 relations and 98483290 ideals in 7 passes
  507. Wed Feb  7 07:51:02 2018  max relations containing the same ideal: 20
  508. Wed Feb  7 07:52:05 2018  removing 6591699 relations and 4591699 ideals in 2000000 cliques
  509. Wed Feb  7 07:52:09 2018  commencing in-memory singleton removal
  510. Wed Feb  7 07:52:17 2018  begin with 134443762 relations and 98483290 unique ideals
  511. Wed Feb  7 07:53:14 2018  reduce to 134174708 relations and 93618719 ideals in 7 passes
  512. Wed Feb  7 07:53:14 2018  max relations containing the same ideal: 20
  513. Wed Feb  7 07:54:17 2018  removing 6541755 relations and 4541755 ideals in 2000000 cliques
  514. Wed Feb  7 07:54:20 2018  commencing in-memory singleton removal
  515. Wed Feb  7 07:54:27 2018  begin with 127632953 relations and 93618719 unique ideals
  516. Wed Feb  7 07:55:21 2018  reduce to 127344694 relations and 88784469 ideals in 7 passes
  517. Wed Feb  7 07:55:21 2018  max relations containing the same ideal: 20
  518. Wed Feb  7 07:56:22 2018  removing 6500792 relations and 4500792 ideals in 2000000 cliques
  519. Wed Feb  7 07:56:26 2018  commencing in-memory singleton removal
  520. Wed Feb  7 07:56:32 2018  begin with 120843902 relations and 88784469 unique ideals
  521. Wed Feb  7 07:57:24 2018  reduce to 120539934 relations and 83974995 ideals in 7 passes
  522. Wed Feb  7 07:57:24 2018  max relations containing the same ideal: 20
  523. Wed Feb  7 07:58:19 2018  removing 6544076 relations and 4544076 ideals in 2000000 cliques
  524. Wed Feb  7 07:58:22 2018  commencing in-memory singleton removal
  525. Wed Feb  7 07:58:28 2018  begin with 113995858 relations and 83974995 unique ideals
  526. Wed Feb  7 07:59:23 2018  reduce to 113685562 relations and 79115551 ideals in 8 passes
  527. Wed Feb  7 07:59:23 2018  max relations containing the same ideal: 20
  528. Wed Feb  7 08:00:14 2018  removing 6590793 relations and 4590793 ideals in 2000000 cliques
  529. Wed Feb  7 08:00:17 2018  commencing in-memory singleton removal
  530. Wed Feb  7 08:00:23 2018  begin with 107094769 relations and 79115551 unique ideals
  531. Wed Feb  7 08:01:13 2018  reduce to 106776932 relations and 74201480 ideals in 8 passes
  532. Wed Feb  7 08:01:13 2018  max relations containing the same ideal: 19
  533. Wed Feb  7 08:01:59 2018  removing 6525346 relations and 4525346 ideals in 2000000 cliques
  534. Wed Feb  7 08:02:02 2018  commencing in-memory singleton removal
  535. Wed Feb  7 08:02:07 2018  begin with 100251586 relations and 74201480 unique ideals
  536. Wed Feb  7 08:02:53 2018  reduce to 99907380 relations and 69325678 ideals in 8 passes
  537. Wed Feb  7 08:02:53 2018  max relations containing the same ideal: 19
  538. Wed Feb  7 08:03:36 2018  removing 6529507 relations and 4529507 ideals in 2000000 cliques
  539. Wed Feb  7 08:03:39 2018  commencing in-memory singleton removal
  540. Wed Feb  7 08:03:44 2018  begin with 93377873 relations and 69325678 unique ideals
  541. Wed Feb  7 08:04:32 2018  reduce to 92964941 relations and 64375163 ideals in 9 passes
  542. Wed Feb  7 08:04:32 2018  max relations containing the same ideal: 19
  543. Wed Feb  7 08:05:11 2018  removing 6550032 relations and 4550032 ideals in 2000000 cliques
  544. Wed Feb  7 08:05:15 2018  commencing in-memory singleton removal
  545. Wed Feb  7 08:05:19 2018  begin with 86414909 relations and 64375163 unique ideals
  546. Wed Feb  7 08:05:58 2018  reduce to 85969356 relations and 59370023 ideals in 8 passes
  547. Wed Feb  7 08:05:58 2018  max relations containing the same ideal: 19
  548. Wed Feb  7 08:06:33 2018  removing 6670121 relations and 4670121 ideals in 2000000 cliques
  549. Wed Feb  7 08:06:36 2018  commencing in-memory singleton removal
  550. Wed Feb  7 08:06:39 2018  begin with 79299235 relations and 59370023 unique ideals
  551. Wed Feb  7 08:07:20 2018  reduce to 78834430 relations and 54224359 ideals in 9 passes
  552. Wed Feb  7 08:07:20 2018  max relations containing the same ideal: 18
  553. Wed Feb  7 08:07:53 2018  removing 2870692 relations and 2069572 ideals in 801120 cliques
  554. Wed Feb  7 08:07:55 2018  commencing in-memory singleton removal
  555. Wed Feb  7 08:07:59 2018  begin with 75963738 relations and 54224359 unique ideals
  556. Wed Feb  7 08:08:33 2018  reduce to 75842475 relations and 52032060 ideals in 8 passes
  557. Wed Feb  7 08:08:33 2018  max relations containing the same ideal: 18
  558. Wed Feb  7 08:09:07 2018  relations with 0 large ideals: 4422479
  559. Wed Feb  7 08:09:07 2018  relations with 1 large ideals: 19686749
  560. Wed Feb  7 08:09:07 2018  relations with 2 large ideals: 29709077
  561. Wed Feb  7 08:09:07 2018  relations with 3 large ideals: 17456169
  562. Wed Feb  7 08:09:07 2018  relations with 4 large ideals: 4126310
  563. Wed Feb  7 08:09:07 2018  relations with 5 large ideals: 418684
  564. Wed Feb  7 08:09:07 2018  relations with 6 large ideals: 22308
  565. Wed Feb  7 08:09:07 2018  relations with 7+ large ideals: 699
  566. Wed Feb  7 08:09:07 2018  commencing 2-way merge
  567. Wed Feb  7 08:09:45 2018  reduce to 45558669 relation sets and 21748254 unique ideals
  568. Wed Feb  7 08:09:46 2018  commencing full merge
  569. Wed Feb  7 08:14:48 2018  memory use: 2101.1 MB
  570. Wed Feb  7 08:14:55 2018  found 23563671 cycles, need 20770157
  571. Wed Feb  7 08:15:02 2018  weight of 20770157 cycles is about 2050390099 (98.72/cycle)
  572. Wed Feb  7 08:15:04 2018  distribution of cycle lengths:
  573. Wed Feb  7 08:15:04 2018  1 relations: 4422610
  574. Wed Feb  7 08:15:04 2018  2 relations: 1990410
  575. Wed Feb  7 08:15:04 2018  3 relations: 1476432
  576. Wed Feb  7 08:15:04 2018  4 relations: 1279905
  577. Wed Feb  7 08:15:04 2018  5 relations: 1210230
  578. Wed Feb  7 08:15:04 2018  6 relations: 1155664
  579. Wed Feb  7 08:15:04 2018  7 relations: 1122079
  580. Wed Feb  7 08:15:04 2018  8 relations: 1079798
  581. Wed Feb  7 08:15:04 2018  9 relations: 1035790
  582. Wed Feb  7 08:15:04 2018  10+ relations: 5997239
  583. Wed Feb  7 08:15:04 2018  heaviest cycle: 21 relations
  584. Wed Feb  7 08:15:04 2018  commencing cycle optimization
  585. Wed Feb  7 08:15:55 2018  start with 135465562 relations
  586. Wed Feb  7 08:20:23 2018  pruned 11059995 relations
  587. Wed Feb  7 08:20:24 2018  memory use: 3860.8 MB
  588. Wed Feb  7 08:20:24 2018  distribution of cycle lengths:
  589. Wed Feb  7 08:20:24 2018  1 relations: 4422610
  590. Wed Feb  7 08:20:24 2018  2 relations: 2067710
  591. Wed Feb  7 08:20:24 2018  3 relations: 1575291
  592. Wed Feb  7 08:20:24 2018  4 relations: 1390197
  593. Wed Feb  7 08:20:24 2018  5 relations: 1347137
  594. Wed Feb  7 08:20:24 2018  6 relations: 1308575
  595. Wed Feb  7 08:20:24 2018  7 relations: 1286571
  596. Wed Feb  7 08:20:24 2018  8 relations: 1236332
  597. Wed Feb  7 08:20:24 2018  9 relations: 1175399
  598. Wed Feb  7 08:20:24 2018  10+ relations: 4960335
  599. Wed Feb  7 08:20:24 2018  heaviest cycle: 20 relations
  600. Wed Feb  7 08:21:20 2018  RelProcTime: 15254
  601. Wed Feb  7 08:21:36 2018  elapsed time 04:14:31
  602. Wed Feb  7 09:06:12 2018  
  603. Wed Feb  7 09:06:12 2018  
  604. Wed Feb  7 09:06:12 2018  Msieve v. 1.53 (SVN 993)
  605. Wed Feb  7 09:06:12 2018  random seeds: 75808774 647622d6
  606. Wed Feb  7 09:06:12 2018  factoring 740843158145301885144302881400144094232016853507800146020350775678879645627210752290390002049774689499251299832421765821192074503814835353656625471932492520824197470260249654306215852161 (186 digits)
  607. Wed Feb  7 09:06:13 2018  no P-1/P+1/ECM available, skipping
  608. Wed Feb  7 09:06:13 2018  commencing number field sieve (186-digit input)
  609. Wed Feb  7 09:06:13 2018  R0: -497151789567376997149143157791438833
  610. Wed Feb  7 09:06:13 2018  R1: 22967515538473979
  611. Wed Feb  7 09:06:13 2018  A0: -22911240941755714959913869256229501947811760
  612. Wed Feb  7 09:06:13 2018  A1: 119134339073502996833480053728564485472
  613. Wed Feb  7 09:06:13 2018  A2: 8345068005889382004040151134428
  614. Wed Feb  7 09:06:13 2018  A3: -110222429503683528885454
  615. Wed Feb  7 09:06:13 2018  A4: -3617884251179875
  616. Wed Feb  7 09:06:13 2018  A5: 24393900
  617. Wed Feb  7 09:06:13 2018  skew 45211792.87, size 3.265e-18, alpha -8.485, combined = 3.566e-14 rroots = 5
  618. Wed Feb  7 09:06:13 2018  
  619. Wed Feb  7 09:06:13 2018  commencing linear algebra
  620. Wed Feb  7 09:06:14 2018  read 20770157 cycles
  621. Wed Feb  7 09:06:40 2018  cycles contain 63137386 unique relations
  622. Wed Feb  7 09:11:02 2018  read 63137386 relations
  623. Wed Feb  7 09:12:19 2018  using 20 quadratic characters above 4294917295
  624. Wed Feb  7 09:15:50 2018  building initial matrix
  625. Wed Feb  7 09:24:36 2018  memory use: 9218.5 MB
  626. Wed Feb  7 09:24:48 2018  read 20770157 cycles
  627. Wed Feb  7 09:24:50 2018  matrix is 20768435 x 20770157 (7801.3 MB) with weight 2423667049 (116.69/col)
  628. Wed Feb  7 09:24:50 2018  sparse part has weight 1795819231 (86.46/col)
  629. Wed Feb  7 09:29:39 2018  filtering completed in 3 passes
  630. Wed Feb  7 09:29:42 2018  matrix is 20724476 x 20724676 (7792.3 MB) with weight 2420612761 (116.80/col)
  631. Wed Feb  7 09:29:42 2018  sparse part has weight 1794011199 (86.56/col)
  632. Wed Feb  7 09:31:18 2018  matrix starts at (0, 0)
  633. Wed Feb  7 09:31:21 2018  matrix is 20724476 x 20724676 (7792.3 MB) with weight 2420612761 (116.80/col)
  634. Wed Feb  7 09:31:21 2018  sparse part has weight 1794011199 (86.56/col)
  635. Wed Feb  7 09:31:21 2018  saving the first 48 matrix rows for later
  636. Wed Feb  7 09:31:23 2018  matrix includes 128 packed rows
  637. Wed Feb  7 09:31:26 2018  matrix is 20724428 x 20724676 (7437.2 MB) with weight 2011902598 (97.08/col)
  638. Wed Feb  7 09:31:26 2018  sparse part has weight 1700908945 (82.07/col)
  639. Wed Feb  7 09:31:26 2018  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  640. Wed Feb  7 09:32:33 2018  commencing Lanczos iteration (4 threads)
  641. Wed Feb  7 09:32:33 2018  memory use: 6369.5 MB
  642. Wed Feb  7 09:34:03 2018  linear algebra at 0.0%, ETA 326h59m
  643. Wed Feb  7 09:34:33 2018  checkpointing every 70000 dimensions
  644. Tue Feb 20 19:48:01 2018  lanczos halted after 327741 iterations (dim = 20724425)
  645. Tue Feb 20 19:48:18 2018  recovered 27 nontrivial dependencies
  646. Tue Feb 20 19:48:19 2018  BLanczosTime: 1161726
  647. Tue Feb 20 19:48:19 2018  elapsed time 322:42:07
  648. Tue Feb 20 19:48:19 2018  
  649. Tue Feb 20 19:48:19 2018  
  650. Tue Feb 20 19:48:19 2018  Msieve v. 1.53 (SVN 993)
  651. Tue Feb 20 19:48:19 2018  random seeds: 87df1fa1 7f4443c8
  652. Tue Feb 20 19:48:19 2018  factoring 740843158145301885144302881400144094232016853507800146020350775678879645627210752290390002049774689499251299832421765821192074503814835353656625471932492520824197470260249654306215852161 (186 digits)
  653. Tue Feb 20 19:48:20 2018  no P-1/P+1/ECM available, skipping
  654. Tue Feb 20 19:48:20 2018  commencing number field sieve (186-digit input)
  655. Tue Feb 20 19:48:20 2018  R0: -497151789567376997149143157791438833
  656. Tue Feb 20 19:48:20 2018  R1: 22967515538473979
  657. Tue Feb 20 19:48:20 2018  A0: -22911240941755714959913869256229501947811760
  658. Tue Feb 20 19:48:20 2018  A1: 119134339073502996833480053728564485472
  659. Tue Feb 20 19:48:20 2018  A2: 8345068005889382004040151134428
  660. Tue Feb 20 19:48:20 2018  A3: -110222429503683528885454
  661. Tue Feb 20 19:48:20 2018  A4: -3617884251179875
  662. Tue Feb 20 19:48:20 2018  A5: 24393900
  663. Tue Feb 20 19:48:20 2018  skew 45211792.87, size 3.265e-18, alpha -8.485, combined = 3.566e-14 rroots = 5
  664. Tue Feb 20 19:48:20 2018  
  665. Tue Feb 20 19:48:20 2018  commencing square root phase
  666. Tue Feb 20 19:48:20 2018  reading relations for dependency 1
  667. Tue Feb 20 19:48:22 2018  read 10363338 cycles
  668. Tue Feb 20 19:48:45 2018  cycles contain 31544858 unique relations
  669. Tue Feb 20 19:52:29 2018  read 31544858 relations
  670. Tue Feb 20 19:56:11 2018  multiplying 31544858 relations
  671. Tue Feb 20 21:02:23 2018  multiply complete, coefficients have about 2036.10 million bits
  672. Tue Feb 20 21:02:40 2018  initial square root is modulo 1359427061
  673. Tue Feb 20 22:17:56 2018  sqrtTime: 8976
  674. Tue Feb 20 22:17:56 2018  p77 factor: 27266708936627427608014275239441080091055064001808754946503114785096128049409
  675. Tue Feb 20 22:17:56 2018  p110 factor: 27170244853060565321721117801947062575312920091429176176798347010555531295933238477560952570986850077113337729
  676. Tue Feb 20 22:17:56 2018  elapsed time 02:29:37
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