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36847639_31m1

a guest Oct 23rd, 2018 63 Never
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  1. Tue Oct 16 23:09:14 2018  
  2. Tue Oct 16 23:09:14 2018  
  3. Tue Oct 16 23:09:14 2018  Msieve v. 1.54 (SVN 1025)
  4. Tue Oct 16 23:09:14 2018  random seeds: bc0a42a6 a368e2e9
  5. Tue Oct 16 23:09:14 2018  factoring 98240369265285327827263340747270733715067834889934516069827088636165978257529836903116960515009172415186016382576350731681739231122127653001365590691256468287019104857844666472413273468396949406531603068677352911151746082205401 (227 digits)
  6. Tue Oct 16 23:09:15 2018  searching for 15-digit factors
  7. Tue Oct 16 23:09:15 2018  commencing number field sieve (227-digit input)
  8. Tue Oct 16 23:09:15 2018  R0: 67927921982754390788637426377367582199
  9. Tue Oct 16 23:09:15 2018  R1: -1
  10. Tue Oct 16 23:09:15 2018  A0: -1
  11. Tue Oct 16 23:09:15 2018  A1: 0
  12. Tue Oct 16 23:09:15 2018  A2: 0
  13. Tue Oct 16 23:09:15 2018  A3: 0
  14. Tue Oct 16 23:09:15 2018  A4: 0
  15. Tue Oct 16 23:09:15 2018  A5: 0
  16. Tue Oct 16 23:09:15 2018  A6: 36847639
  17. Tue Oct 16 23:09:15 2018  skew 1.00, size 4.952e-12, alpha -0.984, combined = 2.923e-13 rroots = 2
  18. Tue Oct 16 23:09:15 2018  
  19. Tue Oct 16 23:09:15 2018  commencing relation filtering
  20. Tue Oct 16 23:09:15 2018  setting target matrix density to 128.0
  21. Tue Oct 16 23:09:15 2018  estimated available RAM is 15984.7 MB
  22. Tue Oct 16 23:09:15 2018  commencing duplicate removal, pass 1
  23. Tue Oct 16 23:21:55 2018  error -1 reading relation 112675844
  24. [ . . . deleted 6000 lines of mostly -1 & -11 errors . . . ]
  25. Tue Oct 16 23:21:55 2018  error -1 reading relation 112690531
  26. Tue Oct 16 23:24:54 2018  error -5 reading relation 139051524
  27. Tue Oct 16 23:31:12 2018  error -6 reading relation 194822455
  28. Tue Oct 16 23:31:18 2018  error -15 reading relation 195734474
  29. Tue Oct 16 23:31:25 2018  skipped 5239 relations with b > 2^32
  30. Tue Oct 16 23:31:25 2018  skipped 8689 relations with composite factors
  31. Tue Oct 16 23:31:25 2018  found 8481289 hash collisions in 196710344 relations
  32. Tue Oct 16 23:31:39 2018  added 1219002 free relations
  33. Tue Oct 16 23:31:39 2018  commencing duplicate removal, pass 2
  34. Tue Oct 16 23:32:27 2018  found 5 duplicates and 197929341 unique relations
  35. Tue Oct 16 23:32:27 2018  memory use: 522.4 MB
  36. Tue Oct 16 23:32:27 2018  reading ideals above 152764416
  37. Tue Oct 16 23:32:27 2018  commencing singleton removal, initial pass
  38. Tue Oct 16 23:48:56 2018  memory use: 3012.0 MB
  39. Tue Oct 16 23:48:56 2018  reading all ideals from disk
  40. Tue Oct 16 23:49:01 2018  memory use: 3313.0 MB
  41. Tue Oct 16 23:49:07 2018  commencing in-memory singleton removal
  42. Tue Oct 16 23:49:13 2018  begin with 197929341 relations and 158255941 unique ideals
  43. Tue Oct 16 23:50:19 2018  reduce to 131124313 relations and 84814277 ideals in 13 passes
  44. Tue Oct 16 23:50:19 2018  max relations containing the same ideal: 46
  45. Tue Oct 16 23:50:25 2018  reading ideals above 720000
  46. Tue Oct 16 23:50:25 2018  commencing singleton removal, initial pass
  47. Wed Oct 17 00:04:25 2018  memory use: 2756.0 MB
  48. Wed Oct 17 00:04:25 2018  reading all ideals from disk
  49. Wed Oct 17 00:04:36 2018  memory use: 5096.4 MB
  50. Wed Oct 17 00:04:49 2018  keeping 101318848 ideals with weight <= 200, target excess is 670150
  51. Wed Oct 17 00:05:02 2018  commencing in-memory singleton removal
  52. Wed Oct 17 00:05:12 2018  begin with 131124313 relations and 101318848 unique ideals
  53. Wed Oct 17 00:06:21 2018  reduce to 131121591 relations and 101316126 ideals in 7 passes
  54. Wed Oct 17 00:06:21 2018  max relations containing the same ideal: 200
  55. Wed Oct 17 00:07:09 2018  removing 10353056 relations and 8353056 ideals in 2000000 cliques
  56. Wed Oct 17 00:07:12 2018  commencing in-memory singleton removal
  57. Wed Oct 17 00:07:21 2018  begin with 120768535 relations and 101316126 unique ideals
  58. Wed Oct 17 00:08:34 2018  reduce to 120173587 relations and 92356585 ideals in 8 passes
  59. Wed Oct 17 00:08:34 2018  max relations containing the same ideal: 197
  60. Wed Oct 17 00:09:18 2018  removing 7868713 relations and 5868713 ideals in 2000000 cliques
  61. Wed Oct 17 00:09:20 2018  commencing in-memory singleton removal
  62. Wed Oct 17 00:09:29 2018  begin with 112304874 relations and 92356585 unique ideals
  63. Wed Oct 17 00:10:35 2018  reduce to 111907775 relations and 86084057 ideals in 8 passes
  64. Wed Oct 17 00:10:35 2018  max relations containing the same ideal: 190
  65. Wed Oct 17 00:11:16 2018  removing 7135674 relations and 5135674 ideals in 2000000 cliques
  66. Wed Oct 17 00:11:18 2018  commencing in-memory singleton removal
  67. Wed Oct 17 00:11:26 2018  begin with 104772101 relations and 86084057 unique ideals
  68. Wed Oct 17 00:12:18 2018  reduce to 104425328 relations and 80595659 ideals in 7 passes
  69. Wed Oct 17 00:12:18 2018  max relations containing the same ideal: 181
  70. Wed Oct 17 00:12:56 2018  removing 6758393 relations and 4758393 ideals in 2000000 cliques
  71. Wed Oct 17 00:12:58 2018  commencing in-memory singleton removal
  72. Wed Oct 17 00:13:05 2018  begin with 97666935 relations and 80595659 unique ideals
  73. Wed Oct 17 00:13:52 2018  reduce to 97346185 relations and 75510920 ideals in 7 passes
  74. Wed Oct 17 00:13:52 2018  max relations containing the same ideal: 174
  75. Wed Oct 17 00:14:26 2018  removing 6519646 relations and 4519646 ideals in 2000000 cliques
  76. Wed Oct 17 00:14:28 2018  commencing in-memory singleton removal
  77. Wed Oct 17 00:14:34 2018  begin with 90826539 relations and 75510920 unique ideals
  78. Wed Oct 17 00:15:11 2018  reduce to 90517714 relations and 70676760 ideals in 6 passes
  79. Wed Oct 17 00:15:11 2018  max relations containing the same ideal: 167
  80. Wed Oct 17 00:15:42 2018  removing 6348396 relations and 4348396 ideals in 2000000 cliques
  81. Wed Oct 17 00:15:44 2018  commencing in-memory singleton removal
  82. Wed Oct 17 00:15:50 2018  begin with 84169318 relations and 70676760 unique ideals
  83. Wed Oct 17 00:16:29 2018  reduce to 83865095 relations and 66018252 ideals in 7 passes
  84. Wed Oct 17 00:16:29 2018  max relations containing the same ideal: 158
  85. Wed Oct 17 00:16:58 2018  removing 6221954 relations and 4221954 ideals in 2000000 cliques
  86. Wed Oct 17 00:17:00 2018  commencing in-memory singleton removal
  87. Wed Oct 17 00:17:05 2018  begin with 77643141 relations and 66018252 unique ideals
  88. Wed Oct 17 00:17:36 2018  reduce to 77336727 relations and 61483573 ideals in 6 passes
  89. Wed Oct 17 00:17:36 2018  max relations containing the same ideal: 151
  90. Wed Oct 17 00:18:02 2018  removing 6127094 relations and 4127094 ideals in 2000000 cliques
  91. Wed Oct 17 00:18:04 2018  commencing in-memory singleton removal
  92. Wed Oct 17 00:18:09 2018  begin with 71209633 relations and 61483573 unique ideals
  93. Wed Oct 17 00:18:37 2018  reduce to 70899350 relations and 57039210 ideals in 6 passes
  94. Wed Oct 17 00:18:37 2018  max relations containing the same ideal: 143
  95. Wed Oct 17 00:19:01 2018  removing 6045991 relations and 4045991 ideals in 2000000 cliques
  96. Wed Oct 17 00:19:03 2018  commencing in-memory singleton removal
  97. Wed Oct 17 00:19:06 2018  begin with 64853359 relations and 57039210 unique ideals
  98. Wed Oct 17 00:19:30 2018  reduce to 64532885 relations and 52664892 ideals in 6 passes
  99. Wed Oct 17 00:19:30 2018  max relations containing the same ideal: 135
  100. Wed Oct 17 00:19:51 2018  removing 5983171 relations and 3983171 ideals in 2000000 cliques
  101. Wed Oct 17 00:19:53 2018  commencing in-memory singleton removal
  102. Wed Oct 17 00:19:56 2018  begin with 58549714 relations and 52664892 unique ideals
  103. Wed Oct 17 00:20:21 2018  reduce to 58214532 relations and 48337747 ideals in 7 passes
  104. Wed Oct 17 00:20:21 2018  max relations containing the same ideal: 123
  105. Wed Oct 17 00:20:40 2018  removing 5933244 relations and 3933244 ideals in 2000000 cliques
  106. Wed Oct 17 00:20:41 2018  commencing in-memory singleton removal
  107. Wed Oct 17 00:20:44 2018  begin with 52281288 relations and 48337747 unique ideals
  108. Wed Oct 17 00:21:06 2018  reduce to 51924819 relations and 44037650 ideals in 7 passes
  109. Wed Oct 17 00:21:06 2018  max relations containing the same ideal: 115
  110. Wed Oct 17 00:21:23 2018  removing 5888522 relations and 3888522 ideals in 2000000 cliques
  111. Wed Oct 17 00:21:24 2018  commencing in-memory singleton removal
  112. Wed Oct 17 00:21:27 2018  begin with 46036297 relations and 44037650 unique ideals
  113. Wed Oct 17 00:21:45 2018  reduce to 45648289 relations and 39748660 ideals in 7 passes
  114. Wed Oct 17 00:21:45 2018  max relations containing the same ideal: 105
  115. Wed Oct 17 00:22:00 2018  removing 5858509 relations and 3858509 ideals in 2000000 cliques
  116. Wed Oct 17 00:22:02 2018  commencing in-memory singleton removal
  117. Wed Oct 17 00:22:04 2018  begin with 39789780 relations and 39748660 unique ideals
  118. Wed Oct 17 00:22:20 2018  reduce to 39349552 relations and 35433638 ideals in 7 passes
  119. Wed Oct 17 00:22:20 2018  max relations containing the same ideal: 93
  120. Wed Oct 17 00:22:33 2018  removing 5855533 relations and 3855533 ideals in 2000000 cliques
  121. Wed Oct 17 00:22:34 2018  commencing in-memory singleton removal
  122. Wed Oct 17 00:22:36 2018  begin with 33494019 relations and 35433638 unique ideals
  123. Wed Oct 17 00:22:49 2018  reduce to 32967026 relations and 31028462 ideals in 7 passes
  124. Wed Oct 17 00:22:49 2018  max relations containing the same ideal: 83
  125. Wed Oct 17 00:23:00 2018  removing 3756332 relations and 2595143 ideals in 1161189 cliques
  126. Wed Oct 17 00:23:01 2018  commencing in-memory singleton removal
  127. Wed Oct 17 00:23:03 2018  begin with 29210694 relations and 31028462 unique ideals
  128. Wed Oct 17 00:23:14 2018  reduce to 28910933 relations and 28124050 ideals in 7 passes
  129. Wed Oct 17 00:23:14 2018  max relations containing the same ideal: 76
  130. Wed Oct 17 00:23:23 2018  removing 60654 relations and 51146 ideals in 9508 cliques
  131. Wed Oct 17 00:23:24 2018  commencing in-memory singleton removal
  132. Wed Oct 17 00:23:25 2018  begin with 28850279 relations and 28124050 unique ideals
  133. Wed Oct 17 00:23:30 2018  reduce to 28850208 relations and 28072833 ideals in 3 passes
  134. Wed Oct 17 00:23:30 2018  max relations containing the same ideal: 75
  135. Wed Oct 17 00:23:35 2018  relations with 0 large ideals: 24988
  136. Wed Oct 17 00:23:35 2018  relations with 1 large ideals: 13517
  137. Wed Oct 17 00:23:35 2018  relations with 2 large ideals: 159946
  138. Wed Oct 17 00:23:35 2018  relations with 3 large ideals: 987139
  139. Wed Oct 17 00:23:35 2018  relations with 4 large ideals: 3266001
  140. Wed Oct 17 00:23:35 2018  relations with 5 large ideals: 6376800
  141. Wed Oct 17 00:23:35 2018  relations with 6 large ideals: 7748267
  142. Wed Oct 17 00:23:35 2018  relations with 7+ large ideals: 10273550
  143. Wed Oct 17 00:23:35 2018  commencing 2-way merge
  144. Wed Oct 17 00:23:47 2018  reduce to 19644555 relation sets and 18867180 unique ideals
  145. Wed Oct 17 00:23:47 2018  commencing full merge
  146. Wed Oct 17 00:29:29 2018  memory use: 2471.2 MB
  147. Wed Oct 17 00:29:30 2018  found 8640363 cycles, need 8621380
  148. Wed Oct 17 00:29:33 2018  weight of 8621380 cycles is about 1103922958 (128.04/cycle)
  149. Wed Oct 17 00:29:33 2018  distribution of cycle lengths:
  150. Wed Oct 17 00:29:33 2018  1 relations: 232891
  151. Wed Oct 17 00:29:33 2018  2 relations: 405901
  152. Wed Oct 17 00:29:33 2018  3 relations: 521004
  153. Wed Oct 17 00:29:33 2018  4 relations: 572870
  154. Wed Oct 17 00:29:33 2018  5 relations: 618357
  155. Wed Oct 17 00:29:33 2018  6 relations: 632546
  156. Wed Oct 17 00:29:33 2018  7 relations: 631500
  157. Wed Oct 17 00:29:33 2018  8 relations: 618023
  158. Wed Oct 17 00:29:33 2018  9 relations: 587783
  159. Wed Oct 17 00:29:33 2018  10+ relations: 3800505
  160. Wed Oct 17 00:29:33 2018  heaviest cycle: 28 relations
  161. Wed Oct 17 00:29:34 2018  commencing cycle optimization
  162. Wed Oct 17 00:29:49 2018  start with 81915372 relations
  163. Wed Oct 17 00:32:17 2018  pruned 4415933 relations
  164. Wed Oct 17 00:32:17 2018  memory use: 2043.4 MB
  165. Wed Oct 17 00:32:17 2018  distribution of cycle lengths:
  166. Wed Oct 17 00:32:17 2018  1 relations: 232891
  167. Wed Oct 17 00:32:17 2018  2 relations: 417252
  168. Wed Oct 17 00:32:17 2018  3 relations: 545358
  169. Wed Oct 17 00:32:17 2018  4 relations: 601436
  170. Wed Oct 17 00:32:17 2018  5 relations: 654929
  171. Wed Oct 17 00:32:17 2018  6 relations: 670543
  172. Wed Oct 17 00:32:17 2018  7 relations: 673592
  173. Wed Oct 17 00:32:17 2018  8 relations: 655747
  174. Wed Oct 17 00:32:17 2018  9 relations: 624238
  175. Wed Oct 17 00:32:17 2018  10+ relations: 3545394
  176. Wed Oct 17 00:32:17 2018  heaviest cycle: 28 relations
  177. Wed Oct 17 00:32:31 2018  RelProcTime: 4996
  178. Wed Oct 17 00:32:31 2018  
  179. Wed Oct 17 00:32:31 2018  commencing linear algebra
  180. Wed Oct 17 00:32:31 2018  read 8621380 cycles
  181. Wed Oct 17 00:32:46 2018  cycles contain 28486300 unique relations
  182. Wed Oct 17 00:35:03 2018  read 28486300 relations
  183. Wed Oct 17 00:35:47 2018  using 20 quadratic characters above 4294917295
  184. Wed Oct 17 00:37:24 2018  building initial matrix
  185. Wed Oct 17 00:42:07 2018  memory use: 3668.3 MB
  186. Wed Oct 17 00:42:10 2018  read 8621380 cycles
  187. Wed Oct 17 00:42:11 2018  matrix is 8621203 x 8621380 (4239.8 MB) with weight 1235077268 (143.26/col)
  188. Wed Oct 17 00:42:11 2018  sparse part has weight 1016606950 (117.92/col)
  189. Wed Oct 17 00:43:47 2018  filtering completed in 2 passes
  190. Wed Oct 17 00:43:48 2018  matrix is 8621144 x 8621321 (4239.8 MB) with weight 1235074647 (143.26/col)
  191. Wed Oct 17 00:43:48 2018  sparse part has weight 1016605759 (117.92/col)
  192. Wed Oct 17 00:44:09 2018  matrix starts at (0, 0)
  193. Wed Oct 17 00:44:10 2018  matrix is 8621144 x 8621321 (4239.8 MB) with weight 1235074647 (143.26/col)
  194. Wed Oct 17 00:44:10 2018  sparse part has weight 1016605759 (117.92/col)
  195. Wed Oct 17 00:44:10 2018  saving the first 48 matrix rows for later
  196. Wed Oct 17 00:44:12 2018  matrix includes 64 packed rows
  197. Wed Oct 17 00:44:13 2018  matrix is 8621096 x 8621321 (4090.1 MB) with weight 1066188434 (123.67/col)
  198. Wed Oct 17 00:44:13 2018  sparse part has weight 985976098 (114.36/col)
  199. Wed Oct 17 00:44:13 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  200. Wed Oct 17 00:44:45 2018  commencing Lanczos iteration (4 threads)
  201. Wed Oct 17 00:44:45 2018  memory use: 3858.6 MB
  202. Wed Oct 17 00:45:20 2018  linear algebra at 0.0%, ETA 53h37m
  203. Wed Oct 17 00:45:32 2018  checkpointing every 160000 dimensions
  204. Thu Oct 18 23:02:40 2018  lanczos halted after 136323 iterations (dim = 8621092)
  205. Thu Oct 18 23:03:00 2018  recovered 32 nontrivial dependencies
  206. Thu Oct 18 23:03:00 2018  BLanczosTime: 167429
  207. Thu Oct 18 23:03:00 2018  
  208. Thu Oct 18 23:03:00 2018  commencing square root phase
  209. Thu Oct 18 23:03:00 2018  handling dependencies 1 to 64
  210. Thu Oct 18 23:03:00 2018  reading relations for dependency 1
  211. Thu Oct 18 23:03:02 2018  read 4311524 cycles
  212. Thu Oct 18 23:03:10 2018  cycles contain 14243644 unique relations
  213. Thu Oct 18 23:04:55 2018  read 14243644 relations
  214. Thu Oct 18 23:05:58 2018  multiplying 14243644 relations
  215. Thu Oct 18 23:26:33 2018  multiply complete, coefficients have about 682.48 million bits
  216. Thu Oct 18 23:26:36 2018  initial square root is modulo 1327237
  217. Thu Oct 18 23:49:14 2018  found factor: 6478356385262721549451873292567166866161704178531566253
  218. Thu Oct 18 23:49:14 2018  reading relations for dependency 2
  219. Thu Oct 18 23:49:16 2018  read 4311000 cycles
  220. Thu Oct 18 23:49:25 2018  cycles contain 14247334 unique relations
  221. Thu Oct 18 23:51:11 2018  read 14247334 relations
  222. Thu Oct 18 23:52:14 2018  multiplying 14247334 relations
  223. Fri Oct 19 00:12:53 2018  multiply complete, coefficients have about 682.66 million bits
  224. Fri Oct 19 00:12:56 2018  initial square root is modulo 1332169
  225. Fri Oct 19 00:35:36 2018  sqrtTime: 5556
  226. Fri Oct 19 00:35:36 2018  p55 factor: 6478356385262721549451873292567166866161704178531566253
  227. Fri Oct 19 00:35:36 2018  p56 factor: 54267049152459210962056496548254590582075796228529484941
  228. Fri Oct 19 00:35:36 2018  p117 factor: 279440238810157156447752774610458774117565073797772597946340029045871550964625139363184543695547142730862842482545937
  229. Fri Oct 19 00:35:36 2018  elapsed time 49:26:22
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