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  1. Thu Oct 31 16:16:25 2019  
  2. Thu Oct 31 16:16:25 2019  
  3. Thu Oct 31 16:16:25 2019  Msieve v. 1.52 (SVN unknown)
  4. Thu Oct 31 16:16:25 2019  random seeds: 5919bb40 4881a9b1
  5. Thu Oct 31 16:16:25 2019  factoring 46909670435707515758821011222900460956532822711460237625607599279905887633327954199062612605340264640269163500417566798218213844076097592133876722161040666973487531460154687792508894501498978632491282419012954505314607934544850214843915868409048202817775140192197 (263 digits)
  6. Thu Oct 31 16:16:27 2019  no P-1/P+1/ECM available, skipping
  7. Thu Oct 31 16:16:27 2019  commencing number field sieve (263-digit input)
  8. Thu Oct 31 16:16:27 2019  R0: 60053199171047433870359986407514260895382803
  9. Thu Oct 31 16:16:27 2019  R1: -1
  10. Thu Oct 31 16:16:27 2019  A0: -1
  11. Thu Oct 31 16:16:27 2019  A1: 0
  12. Thu Oct 31 16:16:27 2019  A2: 0
  13. Thu Oct 31 16:16:27 2019  A3: 0
  14. Thu Oct 31 16:16:27 2019  A4: 0
  15. Thu Oct 31 16:16:27 2019  A5: 0
  16. Thu Oct 31 16:16:27 2019  A6: 9547
  17. Thu Oct 31 16:16:27 2019  skew 0.22, size 2.241e-013, alpha 0.975, combined = 3.881e-014 rroots = 2
  18. Thu Oct 31 16:16:27 2019  
  19. Thu Oct 31 16:16:27 2019  commencing relation filtering
  20. Thu Oct 31 16:16:27 2019  setting target matrix density to 126.0
  21. Thu Oct 31 16:16:27 2019  estimated available RAM is 32642.9 MB
  22. Thu Oct 31 16:16:27 2019  commencing duplicate removal, pass 1
  23. Thu Oct 31 16:17:08 2019  error -1 reading relation 3417679
  24. Thu Oct 31 16:17:19 2019  error -9 reading relation 4316700
  25. Thu Oct 31 16:17:30 2019  error -15 reading relation 5252170
  26. Thu Oct 31 16:17:31 2019  error -9 reading relation 5346621
  27. Thu Oct 31 16:17:57 2019  error -15 reading relation 7520616
  28. Thu Oct 31 17:44:53 2019  error -15 reading relation 444979756
  29. Thu Oct 31 17:44:53 2019  error -15 reading relation 444987018
  30. Thu Oct 31 17:44:53 2019  error -9 reading relation 444990632
  31. Thu Oct 31 17:44:54 2019  error -9 reading relation 445036935
  32. Thu Oct 31 17:44:59 2019  error -9 reading relation 445545931
  33. Thu Oct 31 17:45:00 2019  error -9 reading relation 445713437
  34. Thu Oct 31 17:45:38 2019  skipped 23344 relations with b > 2^32
  35. Thu Oct 31 17:45:38 2019  found 102184980 hash collisions in 447270839 relations
  36. Thu Oct 31 17:46:00 2019  commencing duplicate removal, pass 2
  37. Thu Oct 31 17:50:18 2019  found 96649329 duplicates and 350621510 unique relations
  38. Thu Oct 31 17:50:18 2019  memory use: 2387.0 MB
  39. Thu Oct 31 17:50:18 2019  reading ideals above 269942784
  40. Thu Oct 31 17:50:18 2019  commencing singleton removal, initial pass
  41. Thu Oct 31 18:59:35 2019  memory use: 6024.0 MB
  42. Thu Oct 31 18:59:36 2019  reading all ideals from disk
  43. Thu Oct 31 18:59:48 2019  memory use: 6007.8 MB
  44. Thu Oct 31 19:00:05 2019  commencing in-memory singleton removal
  45. Thu Oct 31 19:00:20 2019  begin with 350621510 relations and 304021156 unique ideals
  46. Thu Oct 31 19:03:18 2019  reduce to 210754754 relations and 148321141 ideals in 17 passes
  47. Thu Oct 31 19:03:18 2019  max relations containing the same ideal: 33
  48. Thu Oct 31 19:03:37 2019  reading ideals above 720000
  49. Thu Oct 31 19:03:38 2019  commencing singleton removal, initial pass
  50. Thu Oct 31 19:54:57 2019  memory use: 5512.0 MB
  51. Thu Oct 31 19:54:57 2019  reading all ideals from disk
  52. Thu Oct 31 19:55:18 2019  memory use: 8862.1 MB
  53. Thu Oct 31 19:55:47 2019  keeping 176609886 ideals with weight <= 200, target excess is 1128974
  54. Thu Oct 31 19:56:16 2019  commencing in-memory singleton removal
  55. Thu Oct 31 19:56:35 2019  begin with 210754754 relations and 176609886 unique ideals
  56. Thu Oct 31 19:59:31 2019  reduce to 210752538 relations and 176607670 ideals in 7 passes
  57. Thu Oct 31 19:59:31 2019  max relations containing the same ideal: 200
  58. Thu Oct 31 20:01:26 2019  removing 14034989 relations and 12034990 ideals in 2000000 cliques
  59. Thu Oct 31 20:01:34 2019  commencing in-memory singleton removal
  60. Thu Oct 31 20:01:52 2019  begin with 196717549 relations and 176607670 unique ideals
  61. Thu Oct 31 20:04:52 2019  reduce to 196053085 relations and 163899976 ideals in 8 passes
  62. Thu Oct 31 20:04:52 2019  max relations containing the same ideal: 198
  63. Thu Oct 31 20:06:31 2019  removing 10495583 relations and 8495583 ideals in 2000000 cliques
  64. Thu Oct 31 20:06:37 2019  commencing in-memory singleton removal
  65. Thu Oct 31 20:06:56 2019  begin with 185557502 relations and 163899976 unique ideals
  66. Thu Oct 31 20:10:05 2019  reduce to 185138080 relations and 154980565 ideals in 9 passes
  67. Thu Oct 31 20:10:05 2019  max relations containing the same ideal: 192
  68. Thu Oct 31 20:11:39 2019  removing 9390995 relations and 7390995 ideals in 2000000 cliques
  69. Thu Oct 31 20:11:45 2019  commencing in-memory singleton removal
  70. Thu Oct 31 20:12:03 2019  begin with 175747085 relations and 154980565 unique ideals
  71. Thu Oct 31 20:14:38 2019  reduce to 175384692 relations and 147223509 ideals in 8 passes
  72. Thu Oct 31 20:14:38 2019  max relations containing the same ideal: 189
  73. Thu Oct 31 20:16:14 2019  removing 8785070 relations and 6785070 ideals in 2000000 cliques
  74. Thu Oct 31 20:16:20 2019  commencing in-memory singleton removal
  75. Thu Oct 31 20:16:35 2019  begin with 166599622 relations and 147223509 unique ideals
  76. Thu Oct 31 20:18:50 2019  reduce to 166264866 relations and 140100191 ideals in 7 passes
  77. Thu Oct 31 20:18:50 2019  max relations containing the same ideal: 185
  78. Thu Oct 31 20:20:16 2019  removing 8390861 relations and 6390861 ideals in 2000000 cliques
  79. Thu Oct 31 20:20:21 2019  commencing in-memory singleton removal
  80. Thu Oct 31 20:20:37 2019  begin with 157874005 relations and 140100191 unique ideals
  81. Thu Oct 31 20:22:25 2019  reduce to 157555243 relations and 133387277 ideals in 7 passes
  82. Thu Oct 31 20:22:25 2019  max relations containing the same ideal: 176
  83. Thu Oct 31 20:23:51 2019  removing 8114791 relations and 6114791 ideals in 2000000 cliques
  84. Thu Oct 31 20:23:56 2019  commencing in-memory singleton removal
  85. Thu Oct 31 20:24:11 2019  begin with 149440452 relations and 133387277 unique ideals
  86. Thu Oct 31 20:25:56 2019  reduce to 149128239 relations and 126956828 ideals in 7 passes
  87. Thu Oct 31 20:25:56 2019  max relations containing the same ideal: 170
  88. Thu Oct 31 20:27:12 2019  removing 7901881 relations and 5901881 ideals in 2000000 cliques
  89. Thu Oct 31 20:27:17 2019  commencing in-memory singleton removal
  90. Thu Oct 31 20:27:31 2019  begin with 141226358 relations and 126956828 unique ideals
  91. Thu Oct 31 20:29:32 2019  reduce to 140916023 relations and 120740956 ideals in 7 passes
  92. Thu Oct 31 20:29:32 2019  max relations containing the same ideal: 165
  93. Thu Oct 31 20:30:49 2019  removing 7748157 relations and 5748157 ideals in 2000000 cliques
  94. Thu Oct 31 20:30:54 2019  commencing in-memory singleton removal
  95. Thu Oct 31 20:31:07 2019  begin with 133167866 relations and 120740956 unique ideals
  96. Thu Oct 31 20:32:45 2019  reduce to 132855403 relations and 114676479 ideals in 7 passes
  97. Thu Oct 31 20:32:45 2019  max relations containing the same ideal: 155
  98. Thu Oct 31 20:33:56 2019  removing 7629820 relations and 5629820 ideals in 2000000 cliques
  99. Thu Oct 31 20:34:00 2019  commencing in-memory singleton removal
  100. Thu Oct 31 20:34:13 2019  begin with 125225583 relations and 114676479 unique ideals
  101. Thu Oct 31 20:35:51 2019  reduce to 124908982 relations and 108725967 ideals in 7 passes
  102. Thu Oct 31 20:35:51 2019  max relations containing the same ideal: 148
  103. Thu Oct 31 20:37:02 2019  removing 7540884 relations and 5540884 ideals in 2000000 cliques
  104. Thu Oct 31 20:37:06 2019  commencing in-memory singleton removal
  105. Thu Oct 31 20:37:17 2019  begin with 117368098 relations and 108725967 unique ideals
  106. Thu Oct 31 20:38:41 2019  reduce to 117043353 relations and 102855918 ideals in 7 passes
  107. Thu Oct 31 20:38:41 2019  max relations containing the same ideal: 142
  108. Thu Oct 31 20:39:45 2019  removing 7465953 relations and 5465953 ideals in 2000000 cliques
  109. Thu Oct 31 20:39:49 2019  commencing in-memory singleton removal
  110. Thu Oct 31 20:39:58 2019  begin with 109577400 relations and 102855918 unique ideals
  111. Thu Oct 31 20:41:11 2019  reduce to 109242144 relations and 97049835 ideals in 7 passes
  112. Thu Oct 31 20:41:11 2019  max relations containing the same ideal: 137
  113. Thu Oct 31 20:42:11 2019  removing 7412795 relations and 5412795 ideals in 2000000 cliques
  114. Thu Oct 31 20:42:15 2019  commencing in-memory singleton removal
  115. Thu Oct 31 20:42:24 2019  begin with 101829349 relations and 97049835 unique ideals
  116. Thu Oct 31 20:43:50 2019  reduce to 101479241 relations and 91281562 ideals in 8 passes
  117. Thu Oct 31 20:43:50 2019  max relations containing the same ideal: 130
  118. Thu Oct 31 20:44:44 2019  removing 7371907 relations and 5371907 ideals in 2000000 cliques
  119. Thu Oct 31 20:44:47 2019  commencing in-memory singleton removal
  120. Thu Oct 31 20:44:57 2019  begin with 94107334 relations and 91281562 unique ideals
  121. Thu Oct 31 20:46:10 2019  reduce to 93738574 relations and 85534738 ideals in 7 passes
  122. Thu Oct 31 20:46:10 2019  max relations containing the same ideal: 124
  123. Thu Oct 31 20:47:06 2019  removing 7346643 relations and 5346643 ideals in 2000000 cliques
  124. Thu Oct 31 20:47:09 2019  commencing in-memory singleton removal
  125. Thu Oct 31 20:47:18 2019  begin with 86391931 relations and 85534738 unique ideals
  126. Thu Oct 31 20:48:27 2019  reduce to 85996665 relations and 79785832 ideals in 7 passes
  127. Thu Oct 31 20:48:27 2019  max relations containing the same ideal: 120
  128. Thu Oct 31 20:49:13 2019  removing 7345580 relations and 5345580 ideals in 2000000 cliques
  129. Thu Oct 31 20:49:16 2019  commencing in-memory singleton removal
  130. Thu Oct 31 20:49:23 2019  begin with 78651085 relations and 79785832 unique ideals
  131. Thu Oct 31 20:50:21 2019  reduce to 78221309 relations and 74002314 ideals in 7 passes
  132. Thu Oct 31 20:50:21 2019  max relations containing the same ideal: 110
  133. Thu Oct 31 20:51:08 2019  removing 7358289 relations and 5358289 ideals in 2000000 cliques
  134. Thu Oct 31 20:51:11 2019  commencing in-memory singleton removal
  135. Thu Oct 31 20:51:19 2019  begin with 70863020 relations and 74002314 unique ideals
  136. Thu Oct 31 20:52:13 2019  reduce to 70383809 relations and 68154508 ideals in 8 passes
  137. Thu Oct 31 20:52:13 2019  max relations containing the same ideal: 104
  138. Thu Oct 31 20:52:57 2019  removing 3948063 relations and 3028372 ideals in 919691 cliques
  139. Thu Oct 31 20:52:59 2019  commencing in-memory singleton removal
  140. Thu Oct 31 20:53:05 2019  begin with 66435746 relations and 68154508 unique ideals
  141. Thu Oct 31 20:53:47 2019  reduce to 66289537 relations and 64978303 ideals in 6 passes
  142. Thu Oct 31 20:53:47 2019  max relations containing the same ideal: 102
  143. Thu Oct 31 20:54:34 2019  relations with 0 large ideals: 43151
  144. Thu Oct 31 20:54:34 2019  relations with 1 large ideals: 12748
  145. Thu Oct 31 20:54:34 2019  relations with 2 large ideals: 186562
  146. Thu Oct 31 20:54:34 2019  relations with 3 large ideals: 1314662
  147. Thu Oct 31 20:54:34 2019  relations with 4 large ideals: 5033556
  148. Thu Oct 31 20:54:34 2019  relations with 5 large ideals: 11621591
  149. Thu Oct 31 20:54:34 2019  relations with 6 large ideals: 16963309
  150. Thu Oct 31 20:54:34 2019  relations with 7+ large ideals: 31113958
  151. Thu Oct 31 20:54:34 2019  commencing 2-way merge
  152. Thu Oct 31 20:55:34 2019  reduce to 42986645 relation sets and 41675411 unique ideals
  153. Thu Oct 31 20:55:34 2019  commencing full merge
  154. Thu Oct 31 21:18:46 2019  memory use: 5586.8 MB
  155. Thu Oct 31 21:18:56 2019  found 19352650 cycles, need 19293611
  156. Thu Oct 31 21:18:59 2019  weight of 19293611 cycles is about 2431715850 (126.04/cycle)
  157. Thu Oct 31 21:18:59 2019  distribution of cycle lengths:
  158. Thu Oct 31 21:18:59 2019  1 relations: 880564
  159. Thu Oct 31 21:18:59 2019  2 relations: 1131751
  160. Thu Oct 31 21:18:59 2019  3 relations: 1312233
  161. Thu Oct 31 21:18:59 2019  4 relations: 1361367
  162. Thu Oct 31 21:18:59 2019  5 relations: 1397004
  163. Thu Oct 31 21:18:59 2019  6 relations: 1383405
  164. Thu Oct 31 21:18:59 2019  7 relations: 1365511
  165. Thu Oct 31 21:18:59 2019  8 relations: 1311858
  166. Thu Oct 31 21:18:59 2019  9 relations: 1241929
  167. Thu Oct 31 21:18:59 2019  10+ relations: 7907989
  168. Thu Oct 31 21:18:59 2019  heaviest cycle: 28 relations
  169. Thu Oct 31 21:19:38 2019  commencing cycle optimization
  170. Thu Oct 31 21:20:29 2019  start with 173038703 relations
  171. Thu Oct 31 21:30:37 2019  pruned 7882970 relations
  172. Thu Oct 31 21:30:38 2019  memory use: 4533.2 MB
  173. Thu Oct 31 21:30:38 2019  distribution of cycle lengths:
  174. Thu Oct 31 21:30:38 2019  1 relations: 880564
  175. Thu Oct 31 21:30:38 2019  2 relations: 1158938
  176. Thu Oct 31 21:30:38 2019  3 relations: 1366092
  177. Thu Oct 31 21:30:38 2019  4 relations: 1417361
  178. Thu Oct 31 21:30:38 2019  5 relations: 1465518
  179. Thu Oct 31 21:30:38 2019  6 relations: 1450226
  180. Thu Oct 31 21:30:38 2019  7 relations: 1436128
  181. Thu Oct 31 21:30:38 2019  8 relations: 1376033
  182. Thu Oct 31 21:30:38 2019  9 relations: 1301959
  183. Thu Oct 31 21:30:38 2019  10+ relations: 7440792
  184. Thu Oct 31 21:30:38 2019  heaviest cycle: 28 relations
  185. Thu Oct 31 21:31:38 2019  RelProcTime: 18911
  186. Thu Oct 31 21:31:38 2019  
  187. Thu Oct 31 21:31:38 2019  commencing linear algebra
  188. Thu Oct 31 21:31:45 2019  read 19293611 cycles
  189. Thu Oct 31 21:32:36 2019  cycles contain 65601352 unique relations
  190. Thu Oct 31 21:45:56 2019  read 65601352 relations
  191. Thu Oct 31 21:48:19 2019  using 20 quadratic characters above 4294917296
  192. Thu Oct 31 21:53:28 2019  building initial matrix
  193. Thu Oct 31 22:10:47 2019  memory use: 8499.4 MB
  194. Thu Oct 31 22:11:25 2019  read 19293611 cycles
  195. Thu Oct 31 22:11:34 2019  matrix is 19293434 x 19293611 (9470.1 MB) with weight 2744174843 (142.23/col)
  196. Thu Oct 31 22:11:34 2019  sparse part has weight 2270287709 (117.67/col)
  197. Thu Oct 31 22:16:37 2019  filtering completed in 2 passes
  198. Thu Oct 31 22:16:45 2019  matrix is 19293193 x 19293370 (9470.0 MB) with weight 2744166373 (142.23/col)
  199. Thu Oct 31 22:16:45 2019  sparse part has weight 2270285045 (117.67/col)
  200. Thu Oct 31 22:18:26 2019  matrix starts at (0, 0)
  201. Thu Oct 31 22:18:33 2019  matrix is 19293193 x 19293370 (9470.0 MB) with weight 2744166373 (142.23/col)
  202. Thu Oct 31 22:18:33 2019  sparse part has weight 2270285045 (117.67/col)
  203. Thu Oct 31 22:18:33 2019  saving the first 48 matrix rows for later
  204. Thu Oct 31 22:18:41 2019  matrix includes 64 packed rows
  205. Thu Oct 31 22:18:46 2019  matrix is 19293145 x 19293370 (9154.4 MB) with weight 2378123893 (123.26/col)
  206. Thu Oct 31 22:18:46 2019  sparse part has weight 2206828142 (114.38/col)
  207. Thu Oct 31 22:18:46 2019  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  208. Thu Oct 31 22:21:16 2019  commencing Lanczos iteration (4 threads)
  209. Thu Oct 31 22:21:16 2019  memory use: 7879.3 MB
  210. Thu Oct 31 22:24:37 2019  linear algebra at 0.0%, ETA 676h27m
  211. Thu Oct 31 22:25:44 2019  checkpointing every 30000 dimensions
  212. Fri Nov 29 17:15:23 2019  lanczos halted after 305101 iterations (dim = 19293145)
  213. Fri Nov 29 17:15:53 2019  recovered 37 nontrivial dependencies
  214. Fri Nov 29 17:16:30 2019  BLanczosTime: 2493892
  215. Fri Nov 29 17:16:30 2019  
  216. Fri Nov 29 17:16:30 2019  commencing square root phase
  217. Fri Nov 29 17:16:30 2019  handling dependencies 1 to 64
  218. Fri Nov 29 17:16:30 2019  reading relations for dependency 1
  219. Fri Nov 29 17:16:36 2019  read 9644656 cycles
  220. Fri Nov 29 17:17:03 2019  cycles contain 32790822 unique relations
  221. Fri Nov 29 17:24:07 2019  read 32790822 relations
  222. Fri Nov 29 17:28:50 2019  multiplying 32790822 relations
  223. Fri Nov 29 18:29:19 2019  multiply complete, coefficients have about 1259.04 million bits
  224. Fri Nov 29 18:29:34 2019  initial square root is modulo 444529
  225. Fri Nov 29 19:39:32 2019  GCD is N, no factor found
  226. Fri Nov 29 19:39:32 2019  reading relations for dependency 2
  227. Fri Nov 29 19:39:39 2019  read 9644373 cycles
  228. Fri Nov 29 19:40:06 2019  cycles contain 32795862 unique relations
  229. Fri Nov 29 19:47:10 2019  read 32795862 relations
  230. Fri Nov 29 19:51:57 2019  multiplying 32795862 relations
  231. Fri Nov 29 20:52:24 2019  multiply complete, coefficients have about 1259.25 million bits
  232. Fri Nov 29 20:52:39 2019  initial square root is modulo 445297
  233. Fri Nov 29 22:02:35 2019  GCD is 1, no factor found
  234. Fri Nov 29 22:02:35 2019  reading relations for dependency 3
  235. Fri Nov 29 22:02:42 2019  read 9645593 cycles
  236. Fri Nov 29 22:03:09 2019  cycles contain 32795260 unique relations
  237. Fri Nov 29 22:10:12 2019  read 32795260 relations
  238. Fri Nov 29 22:14:57 2019  multiplying 32795260 relations
  239. Fri Nov 29 23:15:24 2019  multiply complete, coefficients have about 1259.22 million bits
  240. Fri Nov 29 23:15:38 2019  initial square root is modulo 445297
  241. Sat Nov 30 00:25:32 2019  sqrtTime: 25742
  242. Sat Nov 30 00:25:32 2019  prp129 factor: 198419587069018709005741733439394619363540231440870610243438773875877141801501885375209632784832981788060266555481346311883395821
  243. Sat Nov 30 00:25:32 2019  prp135 factor: 236416530891127961117564966465335245979217917745547971766562408719214113923722489354017650545042461001668407527432398486632951779462457
  244. Sat Nov 30 00:25:32 2019  elapsed time 705:09:07
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