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28051_53m1

a guest Dec 1st, 2018 133 Never
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  1. Thu Nov 29 04:20:28 2018  
  2. Thu Nov 29 04:20:28 2018  Msieve v. 1.54 (SVN 1025)
  3. Thu Nov 29 04:20:28 2018  random seeds: 22f69d6e 6dfefab5
  4. Thu Nov 29 04:20:28 2018  factoring 1964850846213427570725573830781619110817487853359166420265659666059804506017677719878365119488677847445509141551525133730707024033260173550042027665567734219751740827590654964951993828309240135652838306792562851337810590107058392953 (232 digits)
  5. Thu Nov 29 04:20:29 2018  searching for 15-digit factors
  6. Thu Nov 29 04:20:30 2018  commencing number field sieve (232-digit input)
  7. Thu Nov 29 04:20:30 2018  R0: 10753135878746888741493157318231538142451
  8. Thu Nov 29 04:20:30 2018  R1: -1
  9. Thu Nov 29 04:20:30 2018  A0: -28051
  10. Thu Nov 29 04:20:30 2018  A1: 0
  11. Thu Nov 29 04:20:30 2018  A2: 0
  12. Thu Nov 29 04:20:30 2018  A3: 0
  13. Thu Nov 29 04:20:30 2018  A4: 0
  14. Thu Nov 29 04:20:30 2018  A5: 0
  15. Thu Nov 29 04:20:30 2018  A6: 1
  16. Thu Nov 29 04:20:30 2018  skew 5.51, size 5.597e-12, alpha -0.582, combined = 4.221e-13 rroots = 2
  17. Thu Nov 29 04:20:30 2018  
  18. Thu Nov 29 04:20:30 2018  commencing relation filtering
  19. Thu Nov 29 04:20:30 2018  setting target matrix density to 136.0
  20. Thu Nov 29 04:20:30 2018  estimated available RAM is 15984.7 MB
  21. Thu Nov 29 04:20:30 2018  commencing duplicate removal, pass 1
  22. Thu Nov 29 04:22:56 2018  error -15 reading relation 22139293
  23. Thu Nov 29 04:22:56 2018  error -11 reading relation 22140077
  24. Thu Nov 29 04:22:56 2018  error -1 reading relation 22143093
  25. Thu Nov 29 04:22:56 2018  error -11 reading relation 22143924
  26. Thu Nov 29 04:22:56 2018  error -11 reading relation 22144648
  27. Thu Nov 29 04:22:56 2018  error -1 reading relation 22144902
  28. Thu Nov 29 04:22:56 2018  error -6 reading relation 22144970
  29. Thu Nov 29 04:24:22 2018  error -15 reading relation 35223188
  30. Thu Nov 29 04:31:12 2018  error -15 reading relation 96507890
  31. Thu Nov 29 04:42:28 2018  error -15 reading relation 196660851
  32. Thu Nov 29 04:44:30 2018  skipped 4 relations with b > 2^32
  33. Thu Nov 29 04:44:30 2018  skipped 11 relations with composite factors
  34. Thu Nov 29 04:44:30 2018  found 9966488 hash collisions in 213813951 relations
  35. Thu Nov 29 04:44:41 2018  commencing duplicate removal, pass 2
  36. Thu Nov 29 04:45:32 2018  found 0 duplicates and 213813951 unique relations
  37. Thu Nov 29 04:45:32 2018  memory use: 522.4 MB
  38. Thu Nov 29 04:45:32 2018  reading ideals above 149880832
  39. Thu Nov 29 04:45:32 2018  commencing singleton removal, initial pass
  40. Thu Nov 29 05:02:55 2018  memory use: 3012.0 MB
  41. Thu Nov 29 05:02:55 2018  reading all ideals from disk
  42. Thu Nov 29 05:03:01 2018  memory use: 3557.3 MB
  43. Thu Nov 29 05:03:08 2018  commencing in-memory singleton removal
  44. Thu Nov 29 05:03:15 2018  begin with 213813951 relations and 162219380 unique ideals
  45. Thu Nov 29 05:04:27 2018  reduce to 151763791 relations and 94768083 ideals in 12 passes
  46. Thu Nov 29 05:04:27 2018  max relations containing the same ideal: 61
  47. Thu Nov 29 05:04:33 2018  reading ideals above 720000
  48. Thu Nov 29 05:04:33 2018  commencing singleton removal, initial pass
  49. Thu Nov 29 05:20:24 2018  memory use: 3012.0 MB
  50. Thu Nov 29 05:20:24 2018  reading all ideals from disk
  51. Thu Nov 29 05:20:37 2018  memory use: 5870.9 MB
  52. Thu Nov 29 05:20:52 2018  keeping 110869928 ideals with weight <= 200, target excess is 772957
  53. Thu Nov 29 05:21:08 2018  commencing in-memory singleton removal
  54. Thu Nov 29 05:21:19 2018  begin with 151763791 relations and 110869928 unique ideals
  55. Thu Nov 29 05:22:27 2018  reduce to 151762785 relations and 110868922 ideals in 6 passes
  56. Thu Nov 29 05:22:27 2018  max relations containing the same ideal: 200
  57. Thu Nov 29 05:23:20 2018  removing 9572017 relations and 7572017 ideals in 2000000 cliques
  58. Thu Nov 29 05:23:23 2018  commencing in-memory singleton removal
  59. Thu Nov 29 05:23:34 2018  begin with 142190768 relations and 110868922 unique ideals
  60. Thu Nov 29 05:24:59 2018  reduce to 141737210 relations and 102835655 ideals in 8 passes
  61. Thu Nov 29 05:24:59 2018  max relations containing the same ideal: 198
  62. Thu Nov 29 05:25:48 2018  removing 7319214 relations and 5319214 ideals in 2000000 cliques
  63. Thu Nov 29 05:25:51 2018  commencing in-memory singleton removal
  64. Thu Nov 29 05:26:01 2018  begin with 134417996 relations and 102835655 unique ideals
  65. Thu Nov 29 05:27:11 2018  reduce to 134112754 relations and 97206766 ideals in 7 passes
  66. Thu Nov 29 05:27:11 2018  max relations containing the same ideal: 194
  67. Thu Nov 29 05:27:58 2018  removing 6672203 relations and 4672203 ideals in 2000000 cliques
  68. Thu Nov 29 05:28:01 2018  commencing in-memory singleton removal
  69. Thu Nov 29 05:28:10 2018  begin with 127440551 relations and 97206766 unique ideals
  70. Thu Nov 29 05:29:15 2018  reduce to 127177914 relations and 92267992 ideals in 7 passes
  71. Thu Nov 29 05:29:15 2018  max relations containing the same ideal: 188
  72. Thu Nov 29 05:30:00 2018  removing 6336756 relations and 4336756 ideals in 2000000 cliques
  73. Thu Nov 29 05:30:02 2018  commencing in-memory singleton removal
  74. Thu Nov 29 05:30:11 2018  begin with 120841158 relations and 92267992 unique ideals
  75. Thu Nov 29 05:31:13 2018  reduce to 120602488 relations and 87688984 ideals in 7 passes
  76. Thu Nov 29 05:31:13 2018  max relations containing the same ideal: 183
  77. Thu Nov 29 05:31:55 2018  removing 6122081 relations and 4122081 ideals in 2000000 cliques
  78. Thu Nov 29 05:31:57 2018  commencing in-memory singleton removal
  79. Thu Nov 29 05:32:05 2018  begin with 114480407 relations and 87688984 unique ideals
  80. Thu Nov 29 05:32:55 2018  reduce to 114254158 relations and 83337127 ideals in 6 passes
  81. Thu Nov 29 05:32:55 2018  max relations containing the same ideal: 176
  82. Thu Nov 29 05:33:34 2018  removing 5968560 relations and 3968560 ideals in 2000000 cliques
  83. Thu Nov 29 05:33:37 2018  commencing in-memory singleton removal
  84. Thu Nov 29 05:33:44 2018  begin with 108285598 relations and 83337127 unique ideals
  85. Thu Nov 29 05:34:31 2018  reduce to 108066229 relations and 79145634 ideals in 6 passes
  86. Thu Nov 29 05:34:31 2018  max relations containing the same ideal: 173
  87. Thu Nov 29 05:35:08 2018  removing 5852673 relations and 3852673 ideals in 2000000 cliques
  88. Thu Nov 29 05:35:11 2018  commencing in-memory singleton removal
  89. Thu Nov 29 05:35:18 2018  begin with 102213556 relations and 79145634 unique ideals
  90. Thu Nov 29 05:36:01 2018  reduce to 101998422 relations and 75074059 ideals in 6 passes
  91. Thu Nov 29 05:36:01 2018  max relations containing the same ideal: 166
  92. Thu Nov 29 05:36:37 2018  removing 5763688 relations and 3763688 ideals in 2000000 cliques
  93. Thu Nov 29 05:36:39 2018  commencing in-memory singleton removal
  94. Thu Nov 29 05:36:45 2018  begin with 96234734 relations and 75074059 unique ideals
  95. Thu Nov 29 05:37:26 2018  reduce to 96019148 relations and 71090908 ideals in 6 passes
  96. Thu Nov 29 05:37:26 2018  max relations containing the same ideal: 163
  97. Thu Nov 29 05:37:59 2018  removing 5692193 relations and 3692193 ideals in 2000000 cliques
  98. Thu Nov 29 05:38:01 2018  commencing in-memory singleton removal
  99. Thu Nov 29 05:38:08 2018  begin with 90326955 relations and 71090908 unique ideals
  100. Thu Nov 29 05:38:46 2018  reduce to 90109343 relations and 67177003 ideals in 6 passes
  101. Thu Nov 29 05:38:46 2018  max relations containing the same ideal: 155
  102. Thu Nov 29 05:39:17 2018  removing 5629713 relations and 3629713 ideals in 2000000 cliques
  103. Thu Nov 29 05:39:19 2018  commencing in-memory singleton removal
  104. Thu Nov 29 05:39:24 2018  begin with 84479630 relations and 67177003 unique ideals
  105. Thu Nov 29 05:39:59 2018  reduce to 84258154 relations and 63321309 ideals in 6 passes
  106. Thu Nov 29 05:39:59 2018  max relations containing the same ideal: 145
  107. Thu Nov 29 05:40:28 2018  removing 5587837 relations and 3587837 ideals in 2000000 cliques
  108. Thu Nov 29 05:40:30 2018  commencing in-memory singleton removal
  109. Thu Nov 29 05:40:35 2018  begin with 78670317 relations and 63321309 unique ideals
  110. Thu Nov 29 05:41:13 2018  reduce to 78445681 relations and 59503886 ideals in 7 passes
  111. Thu Nov 29 05:41:13 2018  max relations containing the same ideal: 136
  112. Thu Nov 29 05:41:40 2018  removing 5545632 relations and 3545632 ideals in 2000000 cliques
  113. Thu Nov 29 05:41:42 2018  commencing in-memory singleton removal
  114. Thu Nov 29 05:41:47 2018  begin with 72900049 relations and 59503886 unique ideals
  115. Thu Nov 29 05:42:16 2018  reduce to 72666121 relations and 55718859 ideals in 6 passes
  116. Thu Nov 29 05:42:16 2018  max relations containing the same ideal: 130
  117. Thu Nov 29 05:42:41 2018  removing 5515709 relations and 3515709 ideals in 2000000 cliques
  118. Thu Nov 29 05:42:43 2018  commencing in-memory singleton removal
  119. Thu Nov 29 05:42:47 2018  begin with 67150412 relations and 55718859 unique ideals
  120. Thu Nov 29 05:43:14 2018  reduce to 66907358 relations and 51954227 ideals in 6 passes
  121. Thu Nov 29 05:43:14 2018  max relations containing the same ideal: 126
  122. Thu Nov 29 05:43:37 2018  removing 5490318 relations and 3490318 ideals in 2000000 cliques
  123. Thu Nov 29 05:43:39 2018  commencing in-memory singleton removal
  124. Thu Nov 29 05:43:43 2018  begin with 61417040 relations and 51954227 unique ideals
  125. Thu Nov 29 05:44:07 2018  reduce to 61160477 relations and 48200680 ideals in 6 passes
  126. Thu Nov 29 05:44:07 2018  max relations containing the same ideal: 117
  127. Thu Nov 29 05:44:28 2018  removing 5473575 relations and 3473575 ideals in 2000000 cliques
  128. Thu Nov 29 05:44:30 2018  commencing in-memory singleton removal
  129. Thu Nov 29 05:44:34 2018  begin with 55686902 relations and 48200680 unique ideals
  130. Thu Nov 29 05:44:56 2018  reduce to 55414141 relations and 44446807 ideals in 6 passes
  131. Thu Nov 29 05:44:56 2018  max relations containing the same ideal: 106
  132. Thu Nov 29 05:45:15 2018  removing 5455117 relations and 3455117 ideals in 2000000 cliques
  133. Thu Nov 29 05:45:16 2018  commencing in-memory singleton removal
  134. Thu Nov 29 05:45:20 2018  begin with 49959024 relations and 44446807 unique ideals
  135. Thu Nov 29 05:45:42 2018  reduce to 49663184 relations and 40686468 ideals in 7 passes
  136. Thu Nov 29 05:45:42 2018  max relations containing the same ideal: 100
  137. Thu Nov 29 05:45:59 2018  removing 5446537 relations and 3446537 ideals in 2000000 cliques
  138. Thu Nov 29 05:46:01 2018  commencing in-memory singleton removal
  139. Thu Nov 29 05:46:04 2018  begin with 44216647 relations and 40686468 unique ideals
  140. Thu Nov 29 05:46:26 2018  reduce to 43891229 relations and 36903662 ideals in 8 passes
  141. Thu Nov 29 05:46:26 2018  max relations containing the same ideal: 93
  142. Thu Nov 29 05:46:41 2018  removing 5445899 relations and 3445899 ideals in 2000000 cliques
  143. Thu Nov 29 05:46:43 2018  commencing in-memory singleton removal
  144. Thu Nov 29 05:46:45 2018  begin with 38445330 relations and 36903662 unique ideals
  145. Thu Nov 29 05:47:00 2018  reduce to 38073567 relations and 33071999 ideals in 6 passes
  146. Thu Nov 29 05:47:00 2018  max relations containing the same ideal: 85
  147. Thu Nov 29 05:47:13 2018  removing 5463629 relations and 3463629 ideals in 2000000 cliques
  148. Thu Nov 29 05:47:15 2018  commencing in-memory singleton removal
  149. Thu Nov 29 05:47:17 2018  begin with 32609938 relations and 33071999 unique ideals
  150. Thu Nov 29 05:47:31 2018  reduce to 32166865 relations and 29145828 ideals in 7 passes
  151. Thu Nov 29 05:47:31 2018  max relations containing the same ideal: 76
  152. Thu Nov 29 05:47:42 2018  removing 5514429 relations and 3514429 ideals in 2000000 cliques
  153. Thu Nov 29 05:47:43 2018  commencing in-memory singleton removal
  154. Thu Nov 29 05:47:45 2018  begin with 26652436 relations and 29145828 unique ideals
  155. Thu Nov 29 05:47:58 2018  reduce to 26071251 relations and 25020291 ideals in 8 passes
  156. Thu Nov 29 05:47:58 2018  max relations containing the same ideal: 64
  157. Thu Nov 29 05:48:07 2018  removing 667570 relations and 513241 ideals in 154329 cliques
  158. Thu Nov 29 05:48:07 2018  commencing in-memory singleton removal
  159. Thu Nov 29 05:48:09 2018  begin with 25403681 relations and 25020291 unique ideals
  160. Thu Nov 29 05:48:17 2018  reduce to 25387474 relations and 24490741 ideals in 5 passes
  161. Thu Nov 29 05:48:17 2018  max relations containing the same ideal: 64
  162. Thu Nov 29 05:48:29 2018  relations with 0 large ideals: 29294
  163. Thu Nov 29 05:48:29 2018  relations with 1 large ideals: 19664
  164. Thu Nov 29 05:48:29 2018  relations with 2 large ideals: 244788
  165. Thu Nov 29 05:48:29 2018  relations with 3 large ideals: 1328113
  166. Thu Nov 29 05:48:29 2018  relations with 4 large ideals: 3786524
  167. Thu Nov 29 05:48:29 2018  relations with 5 large ideals: 6346935
  168. Thu Nov 29 05:48:29 2018  relations with 6 large ideals: 6591030
  169. Thu Nov 29 05:48:29 2018  relations with 7+ large ideals: 7041126
  170. Thu Nov 29 05:48:29 2018  commencing 2-way merge
  171. Thu Nov 29 05:48:40 2018  reduce to 17548204 relation sets and 16651471 unique ideals
  172. Thu Nov 29 05:48:40 2018  commencing full merge
  173. Thu Nov 29 05:53:50 2018  memory use: 2132.9 MB
  174. Thu Nov 29 05:53:51 2018  found 7530218 cycles, need 7521671
  175. Thu Nov 29 05:53:53 2018  weight of 7521671 cycles is about 1023228663 (136.04/cycle)
  176. Thu Nov 29 05:53:53 2018  distribution of cycle lengths:
  177. Thu Nov 29 05:53:53 2018  1 relations: 167727
  178. Thu Nov 29 05:53:53 2018  2 relations: 315756
  179. Thu Nov 29 05:53:53 2018  3 relations: 413362
  180. Thu Nov 29 05:53:53 2018  4 relations: 467751
  181. Thu Nov 29 05:53:53 2018  5 relations: 509655
  182. Thu Nov 29 05:53:53 2018  6 relations: 526251
  183. Thu Nov 29 05:53:53 2018  7 relations: 536135
  184. Thu Nov 29 05:53:53 2018  8 relations: 524735
  185. Thu Nov 29 05:53:53 2018  9 relations: 502671
  186. Thu Nov 29 05:53:53 2018  10+ relations: 3557628
  187. Thu Nov 29 05:53:53 2018  heaviest cycle: 28 relations
  188. Thu Nov 29 05:53:55 2018  commencing cycle optimization
  189. Thu Nov 29 05:54:08 2018  start with 75319459 relations
  190. Thu Nov 29 05:56:39 2018  pruned 4414059 relations
  191. Thu Nov 29 05:56:39 2018  memory use: 1826.5 MB
  192. Thu Nov 29 05:56:39 2018  distribution of cycle lengths:
  193. Thu Nov 29 05:56:39 2018  1 relations: 167727
  194. Thu Nov 29 05:56:39 2018  2 relations: 324883
  195. Thu Nov 29 05:56:39 2018  3 relations: 432709
  196. Thu Nov 29 05:56:39 2018  4 relations: 492069
  197. Thu Nov 29 05:56:39 2018  5 relations: 542400
  198. Thu Nov 29 05:56:39 2018  6 relations: 561805
  199. Thu Nov 29 05:56:39 2018  7 relations: 574337
  200. Thu Nov 29 05:56:39 2018  8 relations: 561920
  201. Thu Nov 29 05:56:39 2018  9 relations: 538334
  202. Thu Nov 29 05:56:39 2018  10+ relations: 3325487
  203. Thu Nov 29 05:56:39 2018  heaviest cycle: 28 relations
  204. Thu Nov 29 05:56:52 2018  RelProcTime: 5782
  205. Thu Nov 29 05:56:52 2018  
  206. Thu Nov 29 05:56:52 2018  commencing linear algebra
  207. Thu Nov 29 05:56:52 2018  read 7521671 cycles
  208. Thu Nov 29 05:57:07 2018  cycles contain 25003292 unique relations
  209. Thu Nov 29 05:59:11 2018  read 25003292 relations
  210. Thu Nov 29 05:59:51 2018  using 20 quadratic characters above 4294917295
  211. Thu Nov 29 06:01:17 2018  building initial matrix
  212. Thu Nov 29 06:05:40 2018  memory use: 3326.1 MB
  213. Thu Nov 29 06:05:43 2018  read 7521671 cycles
  214. Thu Nov 29 06:05:44 2018  matrix is 7521494 x 7521671 (3902.1 MB) with weight 1133204451 (150.66/col)
  215. Thu Nov 29 06:05:44 2018  sparse part has weight 940176269 (125.00/col)
  216. Thu Nov 29 06:07:09 2018  filtering completed in 2 passes
  217. Thu Nov 29 06:07:11 2018  matrix is 7521455 x 7521632 (3902.1 MB) with weight 1133202622 (150.66/col)
  218. Thu Nov 29 06:07:11 2018  sparse part has weight 940175470 (125.00/col)
  219. Thu Nov 29 06:07:29 2018  matrix starts at (0, 0)
  220. Thu Nov 29 06:07:30 2018  matrix is 7521455 x 7521632 (3902.1 MB) with weight 1133202622 (150.66/col)
  221. Thu Nov 29 06:07:30 2018  sparse part has weight 940175470 (125.00/col)
  222. Thu Nov 29 06:07:30 2018  saving the first 48 matrix rows for later
  223. Thu Nov 29 06:07:31 2018  matrix includes 64 packed rows
  224. Thu Nov 29 06:07:32 2018  matrix is 7521407 x 7521632 (3744.5 MB) with weight 978222463 (130.05/col)
  225. Thu Nov 29 06:07:32 2018  sparse part has weight 906383697 (120.50/col)
  226. Thu Nov 29 06:07:32 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  227. Thu Nov 29 06:07:59 2018  commencing Lanczos iteration (4 threads)
  228. Thu Nov 29 06:07:59 2018  memory use: 3509.2 MB
  229. Thu Nov 29 06:08:29 2018  linear algebra at 0.0%, ETA 39h59m
  230. Thu Nov 29 06:08:39 2018  checkpointing every 190000 dimensions
  231. Fri Nov 30 18:51:56 2018  lanczos halted after 118947 iterations (dim = 7521404)
  232. Fri Nov 30 18:52:08 2018  recovered 34 nontrivial dependencies
  233. Fri Nov 30 18:52:08 2018  BLanczosTime: 132916
  234. Fri Nov 30 18:52:08 2018  
  235. Fri Nov 30 18:52:08 2018  commencing square root phase
  236. Fri Nov 30 18:52:08 2018  handling dependencies 1 to 64
  237. Fri Nov 30 18:52:08 2018  reading relations for dependency 1
  238. Fri Nov 30 18:52:09 2018  read 3758587 cycles
  239. Fri Nov 30 18:52:15 2018  cycles contain 12497572 unique relations
  240. Fri Nov 30 18:53:27 2018  read 12497572 relations
  241. Fri Nov 30 18:54:08 2018  multiplying 12497572 relations
  242. Fri Nov 30 19:00:58 2018  multiply complete, coefficients have about 325.12 million bits
  243. Fri Nov 30 19:00:59 2018  initial square root is modulo 681931
  244. Fri Nov 30 19:08:25 2018  sqrtTime: 977
  245. Fri Nov 30 19:08:25 2018  p71 factor: 64844257339305713657190945051746983097494360865471158241868146675641337
  246. Fri Nov 30 19:08:25 2018  p161 factor: 30301077178386035854056870435385618480801145763640852286640756448182269267409826148704722831994008303743350233234264755558988083917001825319712511356540441911169
  247. Fri Nov 30 19:08:25 2018  elapsed time 38:47:57
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