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Nov 5th, 2020
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  1. Wed Nov 4 22:56:13 2020
  2. Wed Nov 4 22:56:13 2020
  3. Wed Nov 4 22:56:13 2020 Msieve v. 1.54 (SVN 1028)
  4. Wed Nov 4 22:56:13 2020 random seeds: aa1ec726 f3194295
  5. Wed Nov 4 22:56:13 2020 factoring 69475272587117279654444104365497064179578291322370498667495608475139216364204224199478826387431064886511250806440699432703118054778172450209485889451458469422481667416951414172976599441 (185 digits)
  6. Wed Nov 4 22:56:14 2020 no P-1/P+1/ECM available, skipping
  7. Wed Nov 4 22:56:14 2020 commencing number field sieve (185-digit input)
  8. Wed Nov 4 22:56:14 2020 R0: 2722258935367507707706996859454145691648
  9. Wed Nov 4 22:56:14 2020 R1: -1
  10. Wed Nov 4 22:56:14 2020 A0: -4
  11. Wed Nov 4 22:56:14 2020 A1: 0
  12. Wed Nov 4 22:56:14 2020 A2: 0
  13. Wed Nov 4 22:56:14 2020 A3: 0
  14. Wed Nov 4 22:56:14 2020 A4: 0
  15. Wed Nov 4 22:56:14 2020 A5: 0
  16. Wed Nov 4 22:56:14 2020 A6: 5
  17. Wed Nov 4 22:56:14 2020 skew 0.95, size 8.525e-12, alpha 2.070, combined = 5.689e-13 rroots = 2
  18. Wed Nov 4 22:56:14 2020
  19. Wed Nov 4 22:56:14 2020 commencing relation filtering
  20. Wed Nov 4 22:56:14 2020 setting target matrix density to 84.0
  21. Wed Nov 4 22:56:14 2020 estimated available RAM is 31953.4 MB
  22. Wed Nov 4 22:56:14 2020 commencing duplicate removal, pass 1
  23. Wed Nov 4 22:58:04 2020 error -15 reading relation 12614770
  24. Wed Nov 4 23:10:42 2020 error -15 reading relation 102961115
  25. Wed Nov 4 23:10:49 2020 error -15 reading relation 103748330
  26. Wed Nov 4 23:10:54 2020 error -11 reading relation 104283098
  27. Wed Nov 4 23:10:55 2020 error -15 reading relation 104351436
  28. Wed Nov 4 23:10:56 2020 error -15 reading relation 104515804
  29. Wed Nov 4 23:19:15 2020 skipped 78 relations with b > 2^32
  30. Wed Nov 4 23:19:15 2020 skipped 3 relations with composite factors
  31. Wed Nov 4 23:19:15 2020 found 5669818 hash collisions in 159872018 relations
  32. Wed Nov 4 23:19:34 2020 added 1218185 free relations
  33. Wed Nov 4 23:19:34 2020 commencing duplicate removal, pass 2
  34. Wed Nov 4 23:20:18 2020 found 0 duplicates and 161090203 unique relations
  35. Wed Nov 4 23:20:18 2020 memory use: 506.4 MB
  36. Wed Nov 4 23:20:18 2020 reading ideals above 66912256
  37. Wed Nov 4 23:20:18 2020 commencing singleton removal, initial pass
  38. Wed Nov 4 23:37:02 2020 memory use: 3012.0 MB
  39. Wed Nov 4 23:37:02 2020 reading all ideals from disk
  40. Wed Nov 4 23:37:08 2020 memory use: 2839.2 MB
  41. Wed Nov 4 23:37:16 2020 commencing in-memory singleton removal
  42. Wed Nov 4 23:37:24 2020 begin with 161090203 relations and 150516061 unique ideals
  43. Wed Nov 4 23:38:22 2020 reduce to 74624660 relations and 52692262 ideals in 13 passes
  44. Wed Nov 4 23:38:22 2020 max relations containing the same ideal: 29
  45. Wed Nov 4 23:38:28 2020 reading ideals above 720000
  46. Wed Nov 4 23:38:28 2020 commencing singleton removal, initial pass
  47. Wed Nov 4 23:48:39 2020 memory use: 1506.0 MB
  48. Wed Nov 4 23:48:39 2020 reading all ideals from disk
  49. Wed Nov 4 23:48:45 2020 memory use: 2870.1 MB
  50. Wed Nov 4 23:48:54 2020 keeping 60168038 ideals with weight <= 200, target excess is 415275
  51. Wed Nov 4 23:49:04 2020 commencing in-memory singleton removal
  52. Wed Nov 4 23:49:12 2020 begin with 74624660 relations and 60168038 unique ideals
  53. Wed Nov 4 23:49:59 2020 reduce to 74624011 relations and 60167389 ideals in 6 passes
  54. Wed Nov 4 23:49:59 2020 max relations containing the same ideal: 200
  55. Wed Nov 4 23:50:41 2020 removing 9047665 relations and 7047665 ideals in 2000000 cliques
  56. Wed Nov 4 23:50:44 2020 commencing in-memory singleton removal
  57. Wed Nov 4 23:50:52 2020 begin with 65576346 relations and 60167389 unique ideals
  58. Wed Nov 4 23:51:46 2020 reduce to 64765819 relations and 52283054 ideals in 8 passes
  59. Wed Nov 4 23:51:46 2020 max relations containing the same ideal: 190
  60. Wed Nov 4 23:52:22 2020 removing 7291223 relations and 5291223 ideals in 2000000 cliques
  61. Wed Nov 4 23:52:25 2020 commencing in-memory singleton removal
  62. Wed Nov 4 23:52:31 2020 begin with 57474596 relations and 52283054 unique ideals
  63. Wed Nov 4 23:53:17 2020 reduce to 56881386 relations and 46380641 ideals in 8 passes
  64. Wed Nov 4 23:53:17 2020 max relations containing the same ideal: 178
  65. Wed Nov 4 23:53:49 2020 removing 6777379 relations and 4777379 ideals in 2000000 cliques
  66. Wed Nov 4 23:53:52 2020 commencing in-memory singleton removal
  67. Wed Nov 4 23:53:57 2020 begin with 50104007 relations and 46380641 unique ideals
  68. Wed Nov 4 23:54:32 2020 reduce to 49538357 relations and 41019417 ideals in 7 passes
  69. Wed Nov 4 23:54:32 2020 max relations containing the same ideal: 161
  70. Wed Nov 4 23:55:00 2020 removing 6539453 relations and 4539453 ideals in 2000000 cliques
  71. Wed Nov 4 23:55:02 2020 commencing in-memory singleton removal
  72. Wed Nov 4 23:55:07 2020 begin with 42998904 relations and 41019417 unique ideals
  73. Wed Nov 4 23:55:36 2020 reduce to 42412023 relations and 35871798 ideals in 7 passes
  74. Wed Nov 4 23:55:36 2020 max relations containing the same ideal: 146
  75. Wed Nov 4 23:56:00 2020 removing 6423758 relations and 4423758 ideals in 2000000 cliques
  76. Wed Nov 4 23:56:02 2020 commencing in-memory singleton removal
  77. Wed Nov 4 23:56:06 2020 begin with 35988265 relations and 35871798 unique ideals
  78. Wed Nov 4 23:56:32 2020 reduce to 35340873 relations and 30774078 ideals in 8 passes
  79. Wed Nov 4 23:56:32 2020 max relations containing the same ideal: 131
  80. Wed Nov 4 23:56:52 2020 removing 6377344 relations and 4377344 ideals in 2000000 cliques
  81. Wed Nov 4 23:56:54 2020 commencing in-memory singleton removal
  82. Wed Nov 4 23:56:57 2020 begin with 28963529 relations and 30774078 unique ideals
  83. Wed Nov 4 23:57:20 2020 reduce to 28197364 relations and 25592949 ideals in 9 passes
  84. Wed Nov 4 23:57:20 2020 max relations containing the same ideal: 108
  85. Wed Nov 4 23:57:36 2020 removing 6392109 relations and 4392109 ideals in 2000000 cliques
  86. Wed Nov 4 23:57:38 2020 commencing in-memory singleton removal
  87. Wed Nov 4 23:57:40 2020 begin with 21805255 relations and 25592949 unique ideals
  88. Wed Nov 4 23:57:56 2020 reduce to 20810050 relations and 20144014 ideals in 9 passes
  89. Wed Nov 4 23:57:56 2020 max relations containing the same ideal: 92
  90. Wed Nov 4 23:58:08 2020 removing 1003915 relations and 819598 ideals in 184317 cliques
  91. Wed Nov 4 23:58:09 2020 commencing in-memory singleton removal
  92. Wed Nov 4 23:58:10 2020 begin with 19806135 relations and 20144014 unique ideals
  93. Wed Nov 4 23:58:23 2020 reduce to 19771035 relations and 19289023 ideals in 8 passes
  94. Wed Nov 4 23:58:23 2020 max relations containing the same ideal: 87
  95. Wed Nov 4 23:58:38 2020 relations with 0 large ideals: 14959
  96. Wed Nov 4 23:58:38 2020 relations with 1 large ideals: 3373
  97. Wed Nov 4 23:58:38 2020 relations with 2 large ideals: 51014
  98. Wed Nov 4 23:58:38 2020 relations with 3 large ideals: 384472
  99. Wed Nov 4 23:58:38 2020 relations with 4 large ideals: 1536147
  100. Wed Nov 4 23:58:38 2020 relations with 5 large ideals: 3590948
  101. Wed Nov 4 23:58:38 2020 relations with 6 large ideals: 5183499
  102. Wed Nov 4 23:58:38 2020 relations with 7+ large ideals: 9006623
  103. Wed Nov 4 23:58:38 2020 commencing 2-way merge
  104. Wed Nov 4 23:58:51 2020 reduce to 12161174 relation sets and 11679162 unique ideals
  105. Wed Nov 4 23:58:51 2020 commencing full merge
  106. Thu Nov 5 00:02:12 2020 memory use: 1565.9 MB
  107. Thu Nov 5 00:02:13 2020 found 6250134 cycles, need 6185362
  108. Thu Nov 5 00:02:15 2020 weight of 6185362 cycles is about 520000977 (84.07/cycle)
  109. Thu Nov 5 00:02:15 2020 distribution of cycle lengths:
  110. Thu Nov 5 00:02:15 2020 1 relations: 556702
  111. Thu Nov 5 00:02:15 2020 2 relations: 579105
  112. Thu Nov 5 00:02:15 2020 3 relations: 617870
  113. Thu Nov 5 00:02:15 2020 4 relations: 626847
  114. Thu Nov 5 00:02:15 2020 5 relations: 614330
  115. Thu Nov 5 00:02:15 2020 6 relations: 582873
  116. Thu Nov 5 00:02:15 2020 7 relations: 527974
  117. Thu Nov 5 00:02:15 2020 8 relations: 457318
  118. Thu Nov 5 00:02:15 2020 9 relations: 384870
  119. Thu Nov 5 00:02:15 2020 10+ relations: 1237473
  120. Thu Nov 5 00:02:15 2020 heaviest cycle: 22 relations
  121. Thu Nov 5 00:02:17 2020 commencing cycle optimization
  122. Thu Nov 5 00:02:26 2020 start with 38731238 relations
  123. Thu Nov 5 00:03:20 2020 pruned 1135575 relations
  124. Thu Nov 5 00:03:20 2020 memory use: 1213.5 MB
  125. Thu Nov 5 00:03:20 2020 distribution of cycle lengths:
  126. Thu Nov 5 00:03:20 2020 1 relations: 556702
  127. Thu Nov 5 00:03:20 2020 2 relations: 590713
  128. Thu Nov 5 00:03:20 2020 3 relations: 639491
  129. Thu Nov 5 00:03:20 2020 4 relations: 645993
  130. Thu Nov 5 00:03:20 2020 5 relations: 637020
  131. Thu Nov 5 00:03:20 2020 6 relations: 600708
  132. Thu Nov 5 00:03:20 2020 7 relations: 542616
  133. Thu Nov 5 00:03:20 2020 8 relations: 464611
  134. Thu Nov 5 00:03:20 2020 9 relations: 386322
  135. Thu Nov 5 00:03:20 2020 10+ relations: 1121186
  136. Thu Nov 5 00:03:20 2020 heaviest cycle: 22 relations
  137. Thu Nov 5 00:03:31 2020 RelProcTime: 4037
  138. Thu Nov 5 00:03:31 2020 elapsed time 01:07:18
  139. Thu Nov 5 00:05:25 2020
  140. Thu Nov 5 00:05:25 2020
  141. Thu Nov 5 00:05:25 2020 Msieve v. 1.54 (SVN 1028)
  142. Thu Nov 5 00:05:25 2020 random seeds: 1b3d29b3 df28cd57
  143. Thu Nov 5 00:05:25 2020 factoring 69475272587117279654444104365497064179578291322370498667495608475139216364204224199478826387431064886511250806440699432703118054778172450209485889451458469422481667416951414172976599441 (185 digits)
  144. Thu Nov 5 00:05:26 2020 no P-1/P+1/ECM available, skipping
  145. Thu Nov 5 00:05:26 2020 commencing number field sieve (185-digit input)
  146. Thu Nov 5 00:05:26 2020 R0: 2722258935367507707706996859454145691648
  147. Thu Nov 5 00:05:26 2020 R1: -1
  148. Thu Nov 5 00:05:26 2020 A0: -4
  149. Thu Nov 5 00:05:26 2020 A1: 0
  150. Thu Nov 5 00:05:26 2020 A2: 0
  151. Thu Nov 5 00:05:26 2020 A3: 0
  152. Thu Nov 5 00:05:26 2020 A4: 0
  153. Thu Nov 5 00:05:26 2020 A5: 0
  154. Thu Nov 5 00:05:26 2020 A6: 5
  155. Thu Nov 5 00:05:26 2020 skew 0.95, size 8.525e-12, alpha 2.070, combined = 5.689e-13 rroots = 2
  156. Thu Nov 5 00:05:26 2020
  157. Thu Nov 5 00:05:26 2020 commencing linear algebra
  158. Thu Nov 5 00:05:27 2020 read 6185362 cycles
  159. Thu Nov 5 00:05:37 2020 cycles contain 19480958 unique relations
  160. Thu Nov 5 00:07:36 2020 read 19480958 relations
  161. Thu Nov 5 00:08:02 2020 using 20 quadratic characters above 4294917295
  162. Thu Nov 5 00:09:43 2020 building initial matrix
  163. Thu Nov 5 00:12:44 2020 memory use: 2439.3 MB
  164. Thu Nov 5 00:12:46 2020 read 6185362 cycles
  165. Thu Nov 5 00:12:47 2020 matrix is 6185185 x 6185362 (2159.5 MB) with weight 618908708 (100.06/col)
  166. Thu Nov 5 00:12:47 2020 sparse part has weight 498064898 (80.52/col)
  167. Thu Nov 5 00:14:06 2020 filtering completed in 2 passes
  168. Thu Nov 5 00:14:07 2020 matrix is 6184211 x 6184387 (2159.4 MB) with weight 618881767 (100.07/col)
  169. Thu Nov 5 00:14:07 2020 sparse part has weight 498056325 (80.53/col)
  170. Thu Nov 5 00:14:27 2020 matrix starts at (0, 0)
  171. Thu Nov 5 00:14:28 2020 matrix is 6184211 x 6184387 (2159.4 MB) with weight 618881767 (100.07/col)
  172. Thu Nov 5 00:14:28 2020 sparse part has weight 498056325 (80.53/col)
  173. Thu Nov 5 00:14:28 2020 saving the first 112 matrix rows for later
  174. Thu Nov 5 00:14:29 2020 matrix includes 128 packed rows
  175. Thu Nov 5 00:14:30 2020 matrix is 6184099 x 6184387 (2008.0 MB) with weight 478005226 (77.29/col)
  176. Thu Nov 5 00:14:30 2020 sparse part has weight 452160183 (73.11/col)
  177. Thu Nov 5 00:14:30 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
  178. Thu Nov 5 00:14:44 2020 commencing Lanczos iteration (8 threads)
  179. Thu Nov 5 00:14:44 2020 memory use: 2336.7 MB
  180. Thu Nov 5 00:15:02 2020 linear algebra at 0.0%, ETA 18h 1m
  181. Thu Nov 5 00:15:08 2020 checkpointing every 340000 dimensions
  182. Thu Nov 5 15:57:36 2020 lanczos halted after 48606 iterations (dim = 6184099)
  183. Thu Nov 5 15:57:47 2020 recovered 41 nontrivial dependencies
  184. Thu Nov 5 15:57:47 2020 BLanczosTime: 57141
  185. Thu Nov 5 15:57:47 2020
  186. Thu Nov 5 15:57:47 2020 commencing square root phase
  187. Thu Nov 5 15:57:47 2020 reading relations for dependency 1
  188. Thu Nov 5 15:57:48 2020 read 3091784 cycles
  189. Thu Nov 5 15:57:52 2020 cycles contain 9738936 unique relations
  190. Thu Nov 5 15:59:02 2020 read 9738936 relations
  191. Thu Nov 5 15:59:44 2020 multiplying 9738936 relations
  192. Thu Nov 5 16:06:08 2020 multiply complete, coefficients have about 266.44 million bits
  193. Thu Nov 5 16:06:09 2020 initial square root is modulo 60373
  194. Thu Nov 5 16:13:09 2020 GCD is 1, no factor found
  195. Thu Nov 5 16:13:09 2020 reading relations for dependency 2
  196. Thu Nov 5 16:13:10 2020 read 3093488 cycles
  197. Thu Nov 5 16:13:14 2020 cycles contain 9742138 unique relations
  198. Thu Nov 5 16:14:20 2020 read 9742138 relations
  199. Thu Nov 5 16:15:03 2020 multiplying 9742138 relations
  200. Thu Nov 5 16:21:28 2020 multiply complete, coefficients have about 266.52 million bits
  201. Thu Nov 5 16:21:29 2020 initial square root is modulo 60607
  202. Thu Nov 5 16:28:29 2020 GCD is N, no factor found
  203. Thu Nov 5 16:28:29 2020 reading relations for dependency 3
  204. Thu Nov 5 16:28:30 2020 read 3092728 cycles
  205. Thu Nov 5 16:28:34 2020 cycles contain 9743196 unique relations
  206. Thu Nov 5 16:29:40 2020 read 9743196 relations
  207. Thu Nov 5 16:30:23 2020 multiplying 9743196 relations
  208. Thu Nov 5 16:36:48 2020 multiply complete, coefficients have about 266.56 million bits
  209. Thu Nov 5 16:36:49 2020 initial square root is modulo 60757
  210. Thu Nov 5 16:43:50 2020 sqrtTime: 2763
  211. Thu Nov 5 16:43:50 2020 p72 factor: 792486262333263266852580611673461399472464874579580769344350954928178731
  212. Thu Nov 5 16:43:50 2020 p113 factor: 87667478780724818772000946978613182918502677733022737650424060500523668082714122070425544279625540252423176111411
  213. Thu Nov 5 16:43:50 2020 elapsed time 16:38:25
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