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  1. Sun Mar  3 19:54:46 2019  
  2. Sun Mar  3 19:54:46 2019  
  3. Sun Mar  3 19:54:46 2019  Msieve v. 1.53 (SVN 988M)
  4. Sun Mar  3 19:54:46 2019  random seeds: 8d6cf1ec 79f39fef
  5. Sun Mar  3 19:54:46 2019  factoring 123463036266051436507386200716652794589341132855016276292745316946649403646773022985825581949819109111066880402146339080140729536425444959066467230060639716250779418580461575760944881662786799698588347169 (204 digits)
  6. Sun Mar  3 19:54:47 2019  searching for 15-digit factors
  7. Sun Mar  3 19:54:48 2019  commencing number field sieve (204-digit input)
  8. Sun Mar  3 19:54:48 2019  R0: 29100346434780756496233872879771488202161
  9. Sun Mar  3 19:54:48 2019  R1: -254186582832900000000000000000000000000
  10. Sun Mar  3 19:54:48 2019  A0: -1
  11. Sun Mar  3 19:54:48 2019  A1: -3
  12. Sun Mar  3 19:54:48 2019  A2: 6
  13. Sun Mar  3 19:54:48 2019  A3: 4
  14. Sun Mar  3 19:54:48 2019  A4: -5
  15. Sun Mar  3 19:54:48 2019  A5: -1
  16. Sun Mar  3 19:54:48 2019  A6: 1
  17. Sun Mar  3 19:54:48 2019  skew 1.00, size 6.192e-12, alpha 3.126, combined = 4.384e-13 rroots = 6
  18. Sun Mar  3 19:54:48 2019  
  19. Sun Mar  3 19:54:48 2019  commencing relation filtering
  20. Sun Mar  3 19:54:48 2019  setting target matrix density to 120.0
  21. Sun Mar  3 19:54:48 2019  estimated available RAM is 32768.0 MB
  22. Sun Mar  3 19:54:48 2019  commencing duplicate removal, pass 1
  23. Sun Mar  3 20:11:10 2019  error -1 reading relation 166553794
  24. Sun Mar  3 20:11:34 2019  error -15 reading relation 170647918
  25. Sun Mar  3 20:14:25 2019  error -15 reading relation 199411973
  26. Sun Mar  3 20:14:25 2019  error -15 reading relation 199416798
  27. Sun Mar  3 20:14:36 2019  skipped 69 relations with b > 2^32
  28. Sun Mar  3 20:14:36 2019  skipped 1 relations with composite factors
  29. Sun Mar  3 20:14:36 2019  found 8869040 hash collisions in 201240813 relations
  30. Sun Mar  3 20:14:41 2019  added 2438358 free relations
  31. Sun Mar  3 20:14:41 2019  commencing duplicate removal, pass 2
  32. Sun Mar  3 20:15:27 2019  found 0 duplicates and 203679171 unique relations
  33. Sun Mar  3 20:15:27 2019  memory use: 522.4 MB
  34. Sun Mar  3 20:15:27 2019  reading ideals above 149880832
  35. Sun Mar  3 20:15:27 2019  commencing singleton removal, initial pass
  36. Sun Mar  3 20:29:57 2019  memory use: 3012.0 MB
  37. Sun Mar  3 20:29:57 2019  reading all ideals from disk
  38. Sun Mar  3 20:29:59 2019  memory use: 3424.4 MB
  39. Sun Mar  3 20:30:06 2019  commencing in-memory singleton removal
  40. Sun Mar  3 20:30:12 2019  begin with 203679171 relations and 160549252 unique ideals
  41. Sun Mar  3 20:31:36 2019  reduce to 138742020 relations and 89456096 ideals in 14 passes
  42. Sun Mar  3 20:31:36 2019  max relations containing the same ideal: 42
  43. Sun Mar  3 20:31:46 2019  reading ideals above 720000
  44. Sun Mar  3 20:31:46 2019  commencing singleton removal, initial pass
  45. Sun Mar  3 20:45:18 2019  memory use: 2756.0 MB
  46. Sun Mar  3 20:45:18 2019  reading all ideals from disk
  47. Sun Mar  3 20:45:22 2019  memory use: 5412.1 MB
  48. Sun Mar  3 20:45:33 2019  keeping 105628685 ideals with weight <= 200, target excess is 703253
  49. Sun Mar  3 20:45:46 2019  commencing in-memory singleton removal
  50. Sun Mar  3 20:45:55 2019  begin with 138742020 relations and 105628685 unique ideals
  51. Sun Mar  3 20:46:36 2019  reduce to 138741745 relations and 105628410 ideals in 4 passes
  52. Sun Mar  3 20:46:36 2019  max relations containing the same ideal: 200
  53. Sun Mar  3 20:47:27 2019  removing 10136871 relations and 8136872 ideals in 2000000 cliques
  54. Sun Mar  3 20:47:30 2019  commencing in-memory singleton removal
  55. Sun Mar  3 20:47:39 2019  begin with 128604874 relations and 105628410 unique ideals
  56. Sun Mar  3 20:48:46 2019  reduce to 128059215 relations and 96935792 ideals in 7 passes
  57. Sun Mar  3 20:48:46 2019  max relations containing the same ideal: 199
  58. Sun Mar  3 20:49:33 2019  removing 7707096 relations and 5707096 ideals in 2000000 cliques
  59. Sun Mar  3 20:49:36 2019  commencing in-memory singleton removal
  60. Sun Mar  3 20:49:44 2019  begin with 120352119 relations and 96935792 unique ideals
  61. Sun Mar  3 20:50:46 2019  reduce to 119988190 relations and 90858867 ideals in 7 passes
  62. Sun Mar  3 20:50:46 2019  max relations containing the same ideal: 191
  63. Sun Mar  3 20:51:30 2019  removing 7001747 relations and 5001747 ideals in 2000000 cliques
  64. Sun Mar  3 20:51:33 2019  commencing in-memory singleton removal
  65. Sun Mar  3 20:51:40 2019  begin with 112986443 relations and 90858867 unique ideals
  66. Sun Mar  3 20:52:38 2019  reduce to 112670497 relations and 85536195 ideals in 7 passes
  67. Sun Mar  3 20:52:38 2019  max relations containing the same ideal: 185
  68. Sun Mar  3 20:53:19 2019  removing 6633083 relations and 4633083 ideals in 2000000 cliques
  69. Sun Mar  3 20:53:22 2019  commencing in-memory singleton removal
  70. Sun Mar  3 20:53:29 2019  begin with 106037414 relations and 85536195 unique ideals
  71. Sun Mar  3 20:54:23 2019  reduce to 105744006 relations and 80604951 ideals in 7 passes
  72. Sun Mar  3 20:54:23 2019  max relations containing the same ideal: 178
  73. Sun Mar  3 20:55:02 2019  removing 6398075 relations and 4398075 ideals in 2000000 cliques
  74. Sun Mar  3 20:55:04 2019  commencing in-memory singleton removal
  75. Sun Mar  3 20:55:11 2019  begin with 99345931 relations and 80604951 unique ideals
  76. Sun Mar  3 20:55:54 2019  reduce to 99065961 relations and 75922093 ideals in 6 passes
  77. Sun Mar  3 20:55:54 2019  max relations containing the same ideal: 173
  78. Sun Mar  3 20:56:31 2019  removing 6237019 relations and 4237019 ideals in 2000000 cliques
  79. Sun Mar  3 20:56:33 2019  commencing in-memory singleton removal
  80. Sun Mar  3 20:56:40 2019  begin with 92828942 relations and 75922093 unique ideals
  81. Sun Mar  3 20:57:20 2019  reduce to 92553559 relations and 71404790 ideals in 6 passes
  82. Sun Mar  3 20:57:20 2019  max relations containing the same ideal: 164
  83. Sun Mar  3 20:57:54 2019  removing 6120272 relations and 4120272 ideals in 2000000 cliques
  84. Sun Mar  3 20:57:57 2019  commencing in-memory singleton removal
  85. Sun Mar  3 20:58:02 2019  begin with 86433287 relations and 71404790 unique ideals
  86. Sun Mar  3 20:58:52 2019  reduce to 86157348 relations and 67003287 ideals in 8 passes
  87. Sun Mar  3 20:58:52 2019  max relations containing the same ideal: 159
  88. Sun Mar  3 20:59:24 2019  removing 6030236 relations and 4030236 ideals in 2000000 cliques
  89. Sun Mar  3 20:59:27 2019  commencing in-memory singleton removal
  90. Sun Mar  3 20:59:32 2019  begin with 80127112 relations and 67003287 unique ideals
  91. Sun Mar  3 21:00:06 2019  reduce to 79847765 relations and 62687957 ideals in 6 passes
  92. Sun Mar  3 21:00:06 2019  max relations containing the same ideal: 151
  93. Sun Mar  3 21:00:37 2019  removing 5957953 relations and 3957953 ideals in 2000000 cliques
  94. Sun Mar  3 21:00:39 2019  commencing in-memory singleton removal
  95. Sun Mar  3 21:00:44 2019  begin with 73889812 relations and 62687957 unique ideals
  96. Sun Mar  3 21:01:20 2019  reduce to 73601017 relations and 58434803 ideals in 7 passes
  97. Sun Mar  3 21:01:20 2019  max relations containing the same ideal: 140
  98. Sun Mar  3 21:01:49 2019  removing 5907970 relations and 3907970 ideals in 2000000 cliques
  99. Sun Mar  3 21:01:51 2019  commencing in-memory singleton removal
  100. Sun Mar  3 21:01:55 2019  begin with 67693047 relations and 58434803 unique ideals
  101. Sun Mar  3 21:02:24 2019  reduce to 67393768 relations and 54220381 ideals in 6 passes
  102. Sun Mar  3 21:02:24 2019  max relations containing the same ideal: 132
  103. Sun Mar  3 21:02:49 2019  removing 5865644 relations and 3865644 ideals in 2000000 cliques
  104. Sun Mar  3 21:02:51 2019  commencing in-memory singleton removal
  105. Sun Mar  3 21:02:55 2019  begin with 61528124 relations and 54220381 unique ideals
  106. Sun Mar  3 21:03:25 2019  reduce to 61210461 relations and 50028936 ideals in 7 passes
  107. Sun Mar  3 21:03:25 2019  max relations containing the same ideal: 123
  108. Sun Mar  3 21:03:49 2019  removing 5835573 relations and 3835573 ideals in 2000000 cliques
  109. Sun Mar  3 21:03:51 2019  commencing in-memory singleton removal
  110. Sun Mar  3 21:03:54 2019  begin with 55374888 relations and 50028936 unique ideals
  111. Sun Mar  3 21:04:25 2019  reduce to 55035906 relations and 45844919 ideals in 8 passes
  112. Sun Mar  3 21:04:25 2019  max relations containing the same ideal: 116
  113. Sun Mar  3 21:04:46 2019  removing 5817408 relations and 3817408 ideals in 2000000 cliques
  114. Sun Mar  3 21:04:48 2019  commencing in-memory singleton removal
  115. Sun Mar  3 21:04:51 2019  begin with 49218498 relations and 45844919 unique ideals
  116. Sun Mar  3 21:05:12 2019  reduce to 48850162 relations and 41647821 ideals in 6 passes
  117. Sun Mar  3 21:05:12 2019  max relations containing the same ideal: 110
  118. Sun Mar  3 21:05:30 2019  removing 5802012 relations and 3802012 ideals in 2000000 cliques
  119. Sun Mar  3 21:05:32 2019  commencing in-memory singleton removal
  120. Sun Mar  3 21:05:35 2019  begin with 43048150 relations and 41647821 unique ideals
  121. Sun Mar  3 21:05:58 2019  reduce to 42639538 relations and 37423039 ideals in 8 passes
  122. Sun Mar  3 21:05:58 2019  max relations containing the same ideal: 98
  123. Sun Mar  3 21:06:15 2019  removing 5800874 relations and 3800874 ideals in 2000000 cliques
  124. Sun Mar  3 21:06:17 2019  commencing in-memory singleton removal
  125. Sun Mar  3 21:06:19 2019  begin with 36838664 relations and 37423039 unique ideals
  126. Sun Mar  3 21:06:37 2019  reduce to 36365036 relations and 33129645 ideals in 7 passes
  127. Sun Mar  3 21:06:37 2019  max relations containing the same ideal: 87
  128. Sun Mar  3 21:06:51 2019  removing 5824597 relations and 3824597 ideals in 2000000 cliques
  129. Sun Mar  3 21:06:52 2019  commencing in-memory singleton removal
  130. Sun Mar  3 21:06:54 2019  begin with 30540439 relations and 33129645 unique ideals
  131. Sun Mar  3 21:07:10 2019  reduce to 29948965 relations and 28686100 ideals in 8 passes
  132. Sun Mar  3 21:07:10 2019  max relations containing the same ideal: 80
  133. Sun Mar  3 21:07:22 2019  removing 1717449 relations and 1270358 ideals in 447091 cliques
  134. Sun Mar  3 21:07:23 2019  commencing in-memory singleton removal
  135. Sun Mar  3 21:07:24 2019  begin with 28231516 relations and 28686100 unique ideals
  136. Sun Mar  3 21:07:35 2019  reduce to 28150283 relations and 27333330 ideals in 6 passes
  137. Sun Mar  3 21:07:35 2019  max relations containing the same ideal: 77
  138. Sun Mar  3 21:07:49 2019  relations with 0 large ideals: 53851
  139. Sun Mar  3 21:07:49 2019  relations with 1 large ideals: 14003
  140. Sun Mar  3 21:07:49 2019  relations with 2 large ideals: 164680
  141. Sun Mar  3 21:07:49 2019  relations with 3 large ideals: 997112
  142. Sun Mar  3 21:07:49 2019  relations with 4 large ideals: 3229925
  143. Sun Mar  3 21:07:49 2019  relations with 5 large ideals: 6210539
  144. Sun Mar  3 21:07:49 2019  relations with 6 large ideals: 7427840
  145. Sun Mar  3 21:07:49 2019  relations with 7+ large ideals: 10052333
  146. Sun Mar  3 21:07:49 2019  commencing 2-way merge
  147. Sun Mar  3 21:08:04 2019  reduce to 19196509 relation sets and 18379556 unique ideals
  148. Sun Mar  3 21:08:04 2019  commencing full merge
  149. Sun Mar  3 21:15:11 2019  memory use: 2508.4 MB
  150. Sun Mar  3 21:15:15 2019  found 8631584 cycles, need 8593756
  151. Sun Mar  3 21:15:15 2019  weight of 8593756 cycles is about 1031853919 (120.07/cycle)
  152. Sun Mar  3 21:15:15 2019  distribution of cycle lengths:
  153. Sun Mar  3 21:15:15 2019  1 relations: 311222
  154. Sun Mar  3 21:15:15 2019  2 relations: 438913
  155. Sun Mar  3 21:15:15 2019  3 relations: 545752
  156. Sun Mar  3 21:15:15 2019  4 relations: 591296
  157. Sun Mar  3 21:15:15 2019  5 relations: 621542
  158. Sun Mar  3 21:15:15 2019  6 relations: 632630
  159. Sun Mar  3 21:15:15 2019  7 relations: 628257
  160. Sun Mar  3 21:15:15 2019  8 relations: 608577
  161. Sun Mar  3 21:15:15 2019  9 relations: 575291
  162. Sun Mar  3 21:15:15 2019  10+ relations: 3640276
  163. Sun Mar  3 21:15:15 2019  heaviest cycle: 28 relations
  164. Sun Mar  3 21:15:19 2019  commencing cycle optimization
  165. Sun Mar  3 21:15:39 2019  start with 79181516 relations
  166. Sun Mar  3 21:19:05 2019  pruned 4101045 relations
  167. Sun Mar  3 21:19:06 2019  memory use: 1986.9 MB
  168. Sun Mar  3 21:19:06 2019  distribution of cycle lengths:
  169. Sun Mar  3 21:19:06 2019  1 relations: 311222
  170. Sun Mar  3 21:19:06 2019  2 relations: 449498
  171. Sun Mar  3 21:19:06 2019  3 relations: 568894
  172. Sun Mar  3 21:19:06 2019  4 relations: 618092
  173. Sun Mar  3 21:19:06 2019  5 relations: 656689
  174. Sun Mar  3 21:19:06 2019  6 relations: 669338
  175. Sun Mar  3 21:19:06 2019  7 relations: 667446
  176. Sun Mar  3 21:19:06 2019  8 relations: 644445
  177. Sun Mar  3 21:19:06 2019  9 relations: 608847
  178. Sun Mar  3 21:19:06 2019  10+ relations: 3399285
  179. Sun Mar  3 21:19:06 2019  heaviest cycle: 28 relations
  180. Sun Mar  3 21:19:25 2019  RelProcTime: 5077
  181. Sun Mar  3 21:19:25 2019  
  182. Sun Mar  3 21:19:25 2019  commencing linear algebra
  183. Sun Mar  3 21:19:27 2019  read 8593756 cycles
  184. Sun Mar  3 21:19:46 2019  cycles contain 27777055 unique relations
  185. Sun Mar  3 21:21:38 2019  read 27777055 relations
  186. Sun Mar  3 21:22:34 2019  using 20 quadratic characters above 4294917295
  187. Sun Mar  3 21:24:11 2019  building initial matrix
  188. Sun Mar  3 21:28:45 2019  memory use: 3406.5 MB
  189. Sun Mar  3 21:28:52 2019  read 8593756 cycles
  190. Sun Mar  3 21:28:53 2019  matrix is 8593579 x 8593756 (3980.3 MB) with weight 1125788611 (131.00/col)
  191. Sun Mar  3 21:28:53 2019  sparse part has weight 957477190 (111.42/col)
  192. Sun Mar  3 21:30:19 2019  filtering completed in 2 passes
  193. Sun Mar  3 21:30:21 2019  matrix is 8593449 x 8593626 (3980.3 MB) with weight 1125784757 (131.00/col)
  194. Sun Mar  3 21:30:21 2019  sparse part has weight 957475900 (111.42/col)
  195. Sun Mar  3 21:30:49 2019  matrix starts at (0, 0)
  196. Sun Mar  3 21:30:50 2019  matrix is 8593449 x 8593626 (3980.3 MB) with weight 1125784757 (131.00/col)
  197. Sun Mar  3 21:30:50 2019  sparse part has weight 957475900 (111.42/col)
  198. Sun Mar  3 21:30:50 2019  saving the first 48 matrix rows for later
  199. Sun Mar  3 21:30:51 2019  matrix includes 64 packed rows
  200. Sun Mar  3 21:30:52 2019  matrix is 8593401 x 8593626 (3823.8 MB) with weight 974772499 (113.43/col)
  201. Sun Mar  3 21:30:52 2019  sparse part has weight 916451167 (106.64/col)
  202. Sun Mar  3 21:30:52 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  203. Sun Mar  3 21:31:31 2019  commencing Lanczos iteration (8 threads)
  204. Sun Mar  3 21:31:31 2019  memory use: 3257.8 MB
  205. Sun Mar  3 21:31:48 2019  linear algebra at 0.0%, ETA 25h 9m
  206. Sun Mar  3 21:31:53 2019  checkpointing every 350000 dimensions
  207. Mon Mar  4 22:07:25 2019  lanczos halted after 135904 iterations (dim = 8593399)
  208. Mon Mar  4 22:07:34 2019  recovered 33 nontrivial dependencies
  209. Mon Mar  4 22:07:35 2019  BLanczosTime: 89290
  210. Mon Mar  4 22:07:35 2019  
  211. Mon Mar  4 22:07:35 2019  commencing square root phase
  212. Mon Mar  4 22:07:35 2019  handling dependencies 1 to 64
  213. Mon Mar  4 22:07:35 2019  reading relations for dependency 1
  214. Mon Mar  4 22:07:37 2019  read 4296103 cycles
  215. Mon Mar  4 22:07:45 2019  cycles contain 13888476 unique relations
  216. Mon Mar  4 22:08:48 2019  read 13888476 relations
  217. Mon Mar  4 22:09:42 2019  multiplying 13888476 relations
  218. Mon Mar  4 22:16:34 2019  multiply complete, coefficients have about 344.83 million bits
  219. Mon Mar  4 22:16:36 2019  initial square root is modulo 1539649
  220. Mon Mar  4 22:23:13 2019  sqrtTime: 938
  221. Mon Mar  4 22:23:13 2019  p85 factor: 1113155060794008022088926965595626605404917045744063485071824707808008795850664477909
  222. Mon Mar  4 22:23:13 2019  p120 factor: 110912702654368620350388285276544530361867561266928260662091612202319517601365792160833286568919813899859193628559418141
  223. Mon Mar  4 22:23:13 2019  elapsed time 26:28:27
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