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C193_194xx723_13

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  1. Thu May 31 16:04:51 2018  
  2. Thu May 31 16:04:51 2018  
  3. Thu May 31 16:04:51 2018  Msieve v. 1.54 (SVN 1018)
  4. Thu May 31 16:04:51 2018  random seeds: 5f66ee00 8b209146
  5. Thu May 31 16:04:51 2018  factoring 2390404626422208630003102939687940614349820019338741430424865457365020423790387147527550970450519550380071191741917837853251742365127305780015400665515465327159428300277175646515473982763379729 (193 digits)
  6. Thu May 31 16:04:51 2018  searching for 15-digit factors
  7. Thu May 31 16:04:52 2018  commencing number field sieve (193-digit input)
  8. Thu May 31 16:04:52 2018  R0: 3778269235701026028057008809430392730
  9. Thu May 31 16:04:52 2018  R1: -1943777054011345723
  10. Thu May 31 16:04:52 2018  A0: -1
  11. Thu May 31 16:04:52 2018  A1: 3
  12. Thu May 31 16:04:52 2018  A2: 6
  13. Thu May 31 16:04:52 2018  A3: -4
  14. Thu May 31 16:04:52 2018  A4: -5
  15. Thu May 31 16:04:52 2018  A5: 1
  16. Thu May 31 16:04:52 2018  A6: 1
  17. Thu May 31 16:04:52 2018  skew 1.00, size 7.982e-011, alpha 3.126, combined = 2.799e-012 rroots = 6
  18. Thu May 31 16:04:52 2018  
  19. Thu May 31 16:04:52 2018  commencing relation filtering
  20. Thu May 31 16:04:52 2018  setting target matrix density to 90.0
  21. Thu May 31 16:04:52 2018  estimated available RAM is 16335.3 MB
  22. Thu May 31 16:04:52 2018  commencing duplicate removal, pass 1
  23. Thu May 31 16:06:50 2018  error -9 reading relation 14201688
  24. Thu May 31 16:06:59 2018  error -5 reading relation 15288278
  25. Thu May 31 16:06:59 2018  error -9 reading relation 15288871
  26. Thu May 31 16:06:59 2018  error -9 reading relation 15290794
  27. Thu May 31 16:07:01 2018  error -9 reading relation 15546454
  28. Thu May 31 16:07:16 2018  error -1 reading relation 17384879
  29. Thu May 31 16:07:49 2018  error -15 reading relation 21478793
  30. Thu May 31 16:07:55 2018  error -15 reading relation 22207806
  31. Thu May 31 16:08:07 2018  error -15 reading relation 23615587
  32. Thu May 31 16:08:17 2018  error -1 reading relation 24871116
  33. Thu May 31 16:08:21 2018  error -15 reading relation 25298059
  34. Thu May 31 16:08:22 2018  error -9 reading relation 25476033
  35. Thu May 31 16:08:23 2018  error -15 reading relation 25600303
  36. Thu May 31 16:08:27 2018  error -1 reading relation 26053136
  37. Thu May 31 16:08:27 2018  error -9 reading relation 26053377
  38. Thu May 31 16:08:27 2018  error -9 reading relation 26095006
  39. Thu May 31 16:08:48 2018  error -9 reading relation 28659635
  40. Thu May 31 16:08:59 2018  error -9 reading relation 29932301
  41. Thu May 31 16:09:02 2018  error -15 reading relation 30371947
  42. Thu May 31 16:09:07 2018  error -9 reading relation 30981937
  43. Thu May 31 16:09:08 2018  error -1 reading relation 31099274
  44. Thu May 31 16:09:11 2018  error -15 reading relation 31360017
  45. Thu May 31 16:09:51 2018  error -15 reading relation 36243033
  46. Thu May 31 16:09:58 2018  error -1 reading relation 37064120
  47. Thu May 31 16:09:58 2018  error -9 reading relation 37078509
  48. Thu May 31 16:10:08 2018  error -9 reading relation 38284679
  49. Thu May 31 16:10:08 2018  error -15 reading relation 38379761
  50. Thu May 31 16:10:08 2018  error -9 reading relation 38380293
  51. Thu May 31 16:10:09 2018  error -1 reading relation 38474559
  52. Thu May 31 16:10:11 2018  error -1 reading relation 38727154
  53. Thu May 31 16:10:16 2018  error -15 reading relation 39340469
  54. Thu May 31 16:10:21 2018  error -15 reading relation 39869196
  55. Thu May 31 16:10:24 2018  error -5 reading relation 40263501
  56. Thu May 31 16:10:25 2018  error -15 reading relation 40374373
  57. Thu May 31 16:10:28 2018  error -9 reading relation 40765193
  58. Thu May 31 16:10:29 2018  error -9 reading relation 40830037
  59. Thu May 31 16:10:29 2018  error -9 reading relation 40895609
  60. Thu May 31 16:10:30 2018  error -9 reading relation 41031400
  61. Thu May 31 16:10:30 2018  error -5 reading relation 41033147
  62. Thu May 31 16:10:32 2018  error -1 reading relation 41191225
  63. Thu May 31 16:10:33 2018  error -5 reading relation 41302391
  64. Thu May 31 16:10:33 2018  error -15 reading relation 41400075
  65. Thu May 31 16:10:34 2018  error -15 reading relation 41484885
  66. Thu May 31 16:10:35 2018  error -15 reading relation 41559570
  67. Thu May 31 16:10:35 2018  error -9 reading relation 41599091
  68. Thu May 31 16:10:41 2018  error -15 reading relation 42306538
  69. Thu May 31 16:10:43 2018  error -9 reading relation 42542223
  70. Thu May 31 16:10:43 2018  error -9 reading relation 42561982
  71. Thu May 31 16:10:43 2018  error -5 reading relation 42576561
  72. Thu May 31 16:10:45 2018  error -9 reading relation 42813003
  73. Thu May 31 16:10:46 2018  error -9 reading relation 42962892
  74. Thu May 31 16:10:46 2018  error -1 reading relation 42975427
  75. Thu May 31 16:10:47 2018  error -9 reading relation 43005809
  76. Thu May 31 16:10:47 2018  error -9 reading relation 43044838
  77. Thu May 31 16:10:47 2018  error -1 reading relation 43049859
  78. Thu May 31 16:10:50 2018  error -9 reading relation 43427963
  79. Thu May 31 16:10:53 2018  error -9 reading relation 43715551
  80. Thu May 31 16:10:55 2018  error -15 reading relation 44009763
  81. Thu May 31 16:10:55 2018  error -9 reading relation 44015217
  82. Thu May 31 16:10:57 2018  error -15 reading relation 44230189
  83. Thu May 31 16:10:59 2018  error -15 reading relation 44453711
  84. Thu May 31 16:10:59 2018  error -9 reading relation 44483695
  85. Thu May 31 16:11:06 2018  error -9 reading relation 45332608
  86. Thu May 31 16:11:09 2018  error -9 reading relation 45623786
  87. Thu May 31 16:11:10 2018  error -9 reading relation 45865665
  88. Thu May 31 16:11:11 2018  error -15 reading relation 45999760
  89. Thu May 31 16:11:14 2018  error -9 reading relation 46302174
  90. Thu May 31 16:11:20 2018  error -15 reading relation 47018563
  91. Thu May 31 16:11:22 2018  error -15 reading relation 47233574
  92. Thu May 31 16:11:27 2018  error -9 reading relation 47838555
  93. Thu May 31 16:11:28 2018  error -9 reading relation 48017120
  94. Thu May 31 16:11:30 2018  error -9 reading relation 48286645
  95. Thu May 31 16:11:37 2018  error -1 reading relation 49064151
  96. Thu May 31 16:11:37 2018  error -5 reading relation 49073740
  97. Thu May 31 16:11:38 2018  error -1 reading relation 49243549
  98. Thu May 31 16:11:38 2018  error -9 reading relation 49259670
  99. Thu May 31 16:11:39 2018  error -5 reading relation 49304828
  100. Thu May 31 16:12:15 2018  skipped 1 relations with b > 2^32
  101. Thu May 31 16:12:15 2018  skipped 44 relations with composite factors
  102. Thu May 31 16:12:15 2018  found 9424144 hash collisions in 51904539 relations
  103. Thu May 31 16:12:15 2018  commencing duplicate removal, pass 2
  104. Thu May 31 16:12:40 2018  found 9094827 duplicates and 42809712 unique relations
  105. Thu May 31 16:12:40 2018  memory use: 330.4 MB
  106. Thu May 31 16:12:40 2018  reading ideals above 720000
  107. Thu May 31 16:12:40 2018  commencing singleton removal, initial pass
  108. Thu May 31 16:18:19 2018  memory use: 1378.0 MB
  109. Thu May 31 16:18:19 2018  reading all ideals from disk
  110. Thu May 31 16:18:19 2018  memory use: 1529.5 MB
  111. Thu May 31 16:18:23 2018  keeping 44297919 ideals with weight <= 200, target excess is 220878
  112. Thu May 31 16:18:26 2018  commencing in-memory singleton removal
  113. Thu May 31 16:18:29 2018  begin with 42809712 relations and 44297919 unique ideals
  114. Thu May 31 16:19:04 2018  reduce to 21971141 relations and 20639548 ideals in 19 passes
  115. Thu May 31 16:19:04 2018  max relations containing the same ideal: 134
  116. Thu May 31 16:19:12 2018  removing 3017498 relations and 2617498 ideals in 400000 cliques
  117. Thu May 31 16:19:13 2018  commencing in-memory singleton removal
  118. Thu May 31 16:19:14 2018  begin with 18953643 relations and 20639548 unique ideals
  119. Thu May 31 16:19:28 2018  reduce to 18507712 relations and 17564155 ideals in 10 passes
  120. Thu May 31 16:19:28 2018  max relations containing the same ideal: 118
  121. Thu May 31 16:19:35 2018  removing 2267804 relations and 1867804 ideals in 400000 cliques
  122. Thu May 31 16:19:35 2018  commencing in-memory singleton removal
  123. Thu May 31 16:19:36 2018  begin with 16239908 relations and 17564155 unique ideals
  124. Thu May 31 16:19:48 2018  reduce to 15977030 relations and 15427133 ideals in 10 passes
  125. Thu May 31 16:19:48 2018  max relations containing the same ideal: 109
  126. Thu May 31 16:19:54 2018  removing 1606484 relations and 1312806 ideals in 293679 cliques
  127. Thu May 31 16:19:54 2018  commencing in-memory singleton removal
  128. Thu May 31 16:19:55 2018  begin with 14370546 relations and 15427133 unique ideals
  129. Thu May 31 16:20:06 2018  reduce to 14230735 relations and 13971902 ideals in 11 passes
  130. Thu May 31 16:20:06 2018  max relations containing the same ideal: 98
  131. Thu May 31 16:20:13 2018  relations with 0 large ideals: 16676
  132. Thu May 31 16:20:13 2018  relations with 1 large ideals: 2879
  133. Thu May 31 16:20:13 2018  relations with 2 large ideals: 25110
  134. Thu May 31 16:20:13 2018  relations with 3 large ideals: 196874
  135. Thu May 31 16:20:13 2018  relations with 4 large ideals: 855626
  136. Thu May 31 16:20:13 2018  relations with 5 large ideals: 2233045
  137. Thu May 31 16:20:13 2018  relations with 6 large ideals: 3587983
  138. Thu May 31 16:20:13 2018  relations with 7+ large ideals: 7312542
  139. Thu May 31 16:20:13 2018  commencing 2-way merge
  140. Thu May 31 16:20:21 2018  reduce to 8866282 relation sets and 8607449 unique ideals
  141. Thu May 31 16:20:21 2018  commencing full merge
  142. Thu May 31 16:23:18 2018  memory use: 1168.2 MB
  143. Thu May 31 16:23:19 2018  found 4257435 cycles, need 4243649
  144. Thu May 31 16:23:19 2018  weight of 4243649 cycles is about 382037109 (90.03/cycle)
  145. Thu May 31 16:23:19 2018  distribution of cycle lengths:
  146. Thu May 31 16:23:19 2018  1 relations: 434929
  147. Thu May 31 16:23:19 2018  2 relations: 429195
  148. Thu May 31 16:23:19 2018  3 relations: 412539
  149. Thu May 31 16:23:19 2018  4 relations: 376137
  150. Thu May 31 16:23:19 2018  5 relations: 343982
  151. Thu May 31 16:23:19 2018  6 relations: 309065
  152. Thu May 31 16:23:19 2018  7 relations: 276381
  153. Thu May 31 16:23:19 2018  8 relations: 243476
  154. Thu May 31 16:23:19 2018  9 relations: 215989
  155. Thu May 31 16:23:19 2018  10+ relations: 1201956
  156. Thu May 31 16:23:19 2018  heaviest cycle: 28 relations
  157. Thu May 31 16:23:20 2018  commencing cycle optimization
  158. Thu May 31 16:23:25 2018  start with 30564310 relations
  159. Thu May 31 16:24:24 2018  pruned 966805 relations
  160. Thu May 31 16:24:24 2018  memory use: 895.3 MB
  161. Thu May 31 16:24:24 2018  distribution of cycle lengths:
  162. Thu May 31 16:24:24 2018  1 relations: 434929
  163. Thu May 31 16:24:24 2018  2 relations: 437258
  164. Thu May 31 16:24:24 2018  3 relations: 426275
  165. Thu May 31 16:24:24 2018  4 relations: 386978
  166. Thu May 31 16:24:24 2018  5 relations: 355328
  167. Thu May 31 16:24:24 2018  6 relations: 316219
  168. Thu May 31 16:24:24 2018  7 relations: 282891
  169. Thu May 31 16:24:24 2018  8 relations: 247771
  170. Thu May 31 16:24:24 2018  9 relations: 218405
  171. Thu May 31 16:24:24 2018  10+ relations: 1137595
  172. Thu May 31 16:24:24 2018  heaviest cycle: 28 relations
  173. Thu May 31 16:24:29 2018  RelProcTime: 1177
  174. Thu May 31 16:24:29 2018  
  175. Thu May 31 16:24:29 2018  commencing linear algebra
  176. Thu May 31 16:24:29 2018  read 4243649 cycles
  177. Thu May 31 16:24:37 2018  cycles contain 13988016 unique relations
  178. Thu May 31 16:26:05 2018  read 13988016 relations
  179. Thu May 31 16:26:22 2018  using 20 quadratic characters above 4294917295
  180. Thu May 31 16:27:21 2018  building initial matrix
  181. Thu May 31 16:29:19 2018  memory use: 1656.8 MB
  182. Thu May 31 16:29:22 2018  read 4243649 cycles
  183. Thu May 31 16:29:22 2018  matrix is 4243471 x 4243649 (1550.2 MB) with weight 441959154 (104.15/col)
  184. Thu May 31 16:29:22 2018  sparse part has weight 363948717 (85.76/col)
  185. Thu May 31 16:30:07 2018  filtering completed in 2 passes
  186. Thu May 31 16:30:08 2018  matrix is 4242637 x 4242815 (1550.2 MB) with weight 441932088 (104.16/col)
  187. Thu May 31 16:30:08 2018  sparse part has weight 363937879 (85.78/col)
  188. Thu May 31 16:30:17 2018  matrix starts at (0, 0)
  189. Thu May 31 16:30:17 2018  matrix is 4242637 x 4242815 (1550.2 MB) with weight 441932088 (104.16/col)
  190. Thu May 31 16:30:17 2018  sparse part has weight 363937879 (85.78/col)
  191. Thu May 31 16:30:17 2018  saving the first 48 matrix rows for later
  192. Thu May 31 16:30:19 2018  matrix includes 64 packed rows
  193. Thu May 31 16:30:19 2018  matrix is 4242589 x 4242815 (1484.9 MB) with weight 371070131 (87.46/col)
  194. Thu May 31 16:30:19 2018  sparse part has weight 346836523 (81.75/col)
  195. Thu May 31 16:30:19 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  196. Thu May 31 16:30:36 2018  commencing Lanczos iteration (8 threads)
  197. Thu May 31 16:30:36 2018  memory use: 1237.3 MB
  198. Thu May 31 16:30:50 2018  linear algebra at 0.0%, ETA 10h 2m
  199. Thu May 31 16:30:54 2018  checkpointing every 430000 dimensions
  200. Fri Jun 01 02:58:18 2018  lanczos halted after 67090 iterations (dim = 4242588)
  201. Fri Jun 01 02:58:24 2018  recovered 34 nontrivial dependencies
  202. Fri Jun 01 02:58:25 2018  BLanczosTime: 38036
  203. Fri Jun 01 02:58:25 2018  
  204. Fri Jun 01 02:58:25 2018  commencing square root phase
  205. Fri Jun 01 02:58:25 2018  handling dependencies 1 to 64
  206. Fri Jun 01 02:58:25 2018  reading relations for dependency 1
  207. Fri Jun 01 02:58:26 2018  read 2121431 cycles
  208. Fri Jun 01 02:58:29 2018  cycles contain 6998500 unique relations
  209. Fri Jun 01 03:00:04 2018  read 6998500 relations
  210. Fri Jun 01 03:00:30 2018  multiplying 6998500 relations
  211. Fri Jun 01 03:04:16 2018  multiply complete, coefficients have about 166.48 million bits
  212. Fri Jun 01 03:04:17 2018  initial square root is modulo 943079
  213. Fri Jun 01 03:08:20 2018  sqrtTime: 595
  214. Fri Jun 01 03:08:20 2018  p67 factor: 2753638177475221936289540926431715709718268228057683656745239296463
  215. Fri Jun 01 03:08:20 2018  p126 factor: 868089586342800554478400027452634546066331816298590736409139756490987251040504996644207750674345753871018025603989237066929183
  216. Fri Jun 01 03:08:20 2018  elapsed time 11:03:29
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