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Nov 14th, 2018
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  1. Sun Nov 11 23:05:34 2018
  2. Sun Nov 11 23:05:34 2018
  3. Sun Nov 11 23:05:34 2018 Msieve v. 1.53 (SVN 988M)
  4. Sun Nov 11 23:05:34 2018 random seeds: 39b78558 52c06f93
  5. Sun Nov 11 23:05:34 2018 factoring 116732847208888762646963427290110267287854941721333595770790829133614026002568170638886140213765182020681359615445968146346601070424615914653950041009308053488824075764211539201865011370223962513279217531457507 (210 digits)
  6. Sun Nov 11 23:05:34 2018 searching for 15-digit factors
  7. Sun Nov 11 23:05:36 2018 commencing number field sieve (210-digit input)
  8. Sun Nov 11 23:05:36 2018 R0: -8505622518383218065593705986567993605799
  9. Sun Nov 11 23:05:36 2018 R1: 303476585554067369725285564806070272
  10. Sun Nov 11 23:05:36 2018 A0: -1728
  11. Sun Nov 11 23:05:36 2018 A1: 12096
  12. Sun Nov 11 23:05:36 2018 A2: -18144
  13. Sun Nov 11 23:05:36 2018 A3: 7056
  14. Sun Nov 11 23:05:36 2018 A4: 2352
  15. Sun Nov 11 23:05:36 2018 A5: -2058
  16. Sun Nov 11 23:05:36 2018 A6: 343
  17. Sun Nov 11 23:05:36 2018 skew 1.31, size 3.931e-12, alpha 0.057, combined = 3.026e-13 rroots = 6
  18. Sun Nov 11 23:05:36 2018
  19. Sun Nov 11 23:05:36 2018 commencing relation filtering
  20. Sun Nov 11 23:05:36 2018 setting target matrix density to 130.0
  21. Sun Nov 11 23:05:36 2018 estimated available RAM is 131072.0 MB
  22. Sun Nov 11 23:05:36 2018 commencing duplicate removal, pass 1
  23. Sun Nov 11 23:06:30 2018 error -9 reading relation 7068212
  24. ...
  25. Mon Nov 12 01:19:47 2018 error -1 reading relation 241439202
  26. Mon Nov 12 01:20:18 2018 skipped 45 relations with b > 2^32
  27. Mon Nov 12 01:20:18 2018 skipped 677 relations with composite factors
  28. Mon Nov 12 01:20:18 2018 found 49749716 hash collisions in 243967747 relations
  29. Mon Nov 12 01:20:18 2018 commencing duplicate removal, pass 2
  30. Mon Nov 12 01:24:04 2018 found 49518944 duplicates and 194448803 unique relations
  31. Mon Nov 12 01:24:04 2018 memory use: 1321.5 MB
  32. Mon Nov 12 01:24:04 2018 reading ideals above 720000
  33. Mon Nov 12 01:24:05 2018 commencing singleton removal, initial pass
  34. Mon Nov 12 01:49:39 2018 memory use: 5512.0 MB
  35. Mon Nov 12 01:49:39 2018 reading all ideals from disk
  36. Mon Nov 12 01:49:43 2018 memory use: 7609.2 MB
  37. Mon Nov 12 01:50:02 2018 keeping 174358840 ideals with weight <= 200, target excess is 977226
  38. Mon Nov 12 01:50:23 2018 commencing in-memory singleton removal
  39. Mon Nov 12 01:50:37 2018 begin with 194448803 relations and 174358840 unique ideals
  40. Mon Nov 12 01:53:08 2018 reduce to 126644153 relations and 99603633 ideals in 13 passes
  41. Mon Nov 12 01:53:08 2018 max relations containing the same ideal: 158
  42. Mon Nov 12 01:53:59 2018 removing 10625364 relations and 8625364 ideals in 2000000 cliques
  43. Mon Nov 12 01:54:03 2018 commencing in-memory singleton removal
  44. Mon Nov 12 01:54:11 2018 begin with 116018789 relations and 99603633 unique ideals
  45. Mon Nov 12 01:55:31 2018 reduce to 115370467 relations and 90316838 ideals in 8 passes
  46. Mon Nov 12 01:55:31 2018 max relations containing the same ideal: 148
  47. Mon Nov 12 01:56:18 2018 removing 8050374 relations and 6050374 ideals in 2000000 cliques
  48. Mon Nov 12 01:56:21 2018 commencing in-memory singleton removal
  49. Mon Nov 12 01:56:28 2018 begin with 107320093 relations and 90316838 unique ideals
  50. Mon Nov 12 01:57:41 2018 reduce to 106888519 relations and 83827363 ideals in 8 passes
  51. Mon Nov 12 01:57:41 2018 max relations containing the same ideal: 142
  52. Mon Nov 12 01:58:26 2018 removing 7291504 relations and 5291504 ideals in 2000000 cliques
  53. Mon Nov 12 01:58:30 2018 commencing in-memory singleton removal
  54. Mon Nov 12 01:58:37 2018 begin with 99597015 relations and 83827363 unique ideals
  55. Mon Nov 12 01:59:37 2018 reduce to 99219502 relations and 78151630 ideals in 7 passes
  56. Mon Nov 12 01:59:37 2018 max relations containing the same ideal: 136
  57. Mon Nov 12 02:00:18 2018 removing 6897778 relations and 4897778 ideals in 2000000 cliques
  58. Mon Nov 12 02:00:20 2018 commencing in-memory singleton removal
  59. Mon Nov 12 02:00:27 2018 begin with 92321724 relations and 78151630 unique ideals
  60. Mon Nov 12 02:01:21 2018 reduce to 91971779 relations and 72897374 ideals in 7 passes
  61. Mon Nov 12 02:01:21 2018 max relations containing the same ideal: 134
  62. Mon Nov 12 02:01:58 2018 removing 6645391 relations and 4645391 ideals in 2000000 cliques
  63. Mon Nov 12 02:02:00 2018 commencing in-memory singleton removal
  64. Mon Nov 12 02:02:06 2018 begin with 85326388 relations and 72897374 unique ideals
  65. Mon Nov 12 02:02:51 2018 reduce to 84985394 relations and 67904433 ideals in 6 passes
  66. Mon Nov 12 02:02:51 2018 max relations containing the same ideal: 126
  67. Mon Nov 12 02:03:25 2018 removing 6472179 relations and 4472179 ideals in 2000000 cliques
  68. Mon Nov 12 02:03:28 2018 commencing in-memory singleton removal
  69. Mon Nov 12 02:03:33 2018 begin with 78513215 relations and 67904433 unique ideals
  70. Mon Nov 12 02:04:13 2018 reduce to 78174639 relations and 63086677 ideals in 6 passes
  71. Mon Nov 12 02:04:13 2018 max relations containing the same ideal: 113
  72. Mon Nov 12 02:04:45 2018 removing 6344070 relations and 4344070 ideals in 2000000 cliques
  73. Mon Nov 12 02:04:48 2018 commencing in-memory singleton removal
  74. Mon Nov 12 02:04:52 2018 begin with 71830569 relations and 63086677 unique ideals
  75. Mon Nov 12 02:05:33 2018 reduce to 71488984 relations and 58393493 ideals in 7 passes
  76. Mon Nov 12 02:05:33 2018 max relations containing the same ideal: 107
  77. Mon Nov 12 02:06:03 2018 removing 6240675 relations and 4240675 ideals in 2000000 cliques
  78. Mon Nov 12 02:06:05 2018 commencing in-memory singleton removal
  79. Mon Nov 12 02:06:10 2018 begin with 65248309 relations and 58393493 unique ideals
  80. Mon Nov 12 02:06:46 2018 reduce to 64896890 relations and 53792883 ideals in 7 passes
  81. Mon Nov 12 02:06:46 2018 max relations containing the same ideal: 101
  82. Mon Nov 12 02:07:15 2018 removing 6159685 relations and 4159685 ideals in 2000000 cliques
  83. Mon Nov 12 02:07:17 2018 commencing in-memory singleton removal
  84. Mon Nov 12 02:07:21 2018 begin with 58737205 relations and 53792883 unique ideals
  85. Mon Nov 12 02:07:55 2018 reduce to 58369031 relations and 49255305 ideals in 7 passes
  86. Mon Nov 12 02:07:55 2018 max relations containing the same ideal: 94
  87. Mon Nov 12 02:08:19 2018 removing 6094400 relations and 4094400 ideals in 2000000 cliques
  88. Mon Nov 12 02:08:22 2018 commencing in-memory singleton removal
  89. Mon Nov 12 02:08:25 2018 begin with 52274631 relations and 49255305 unique ideals
  90. Mon Nov 12 02:08:50 2018 reduce to 51881111 relations and 44755874 ideals in 6 passes
  91. Mon Nov 12 02:08:50 2018 max relations containing the same ideal: 88
  92. Mon Nov 12 02:09:11 2018 removing 6049590 relations and 4049590 ideals in 2000000 cliques
  93. Mon Nov 12 02:09:13 2018 commencing in-memory singleton removal
  94. Mon Nov 12 02:09:16 2018 begin with 45831521 relations and 44755874 unique ideals
  95. Mon Nov 12 02:09:42 2018 reduce to 45397395 relations and 40257971 ideals in 7 passes
  96. Mon Nov 12 02:09:42 2018 max relations containing the same ideal: 78
  97. Mon Nov 12 02:10:00 2018 removing 6016135 relations and 4016135 ideals in 2000000 cliques
  98. Mon Nov 12 02:10:02 2018 commencing in-memory singleton removal
  99. Mon Nov 12 02:10:05 2018 begin with 39381260 relations and 40257971 unique ideals
  100. Mon Nov 12 02:10:25 2018 reduce to 38882504 relations and 35724367 ideals in 7 passes
  101. Mon Nov 12 02:10:25 2018 max relations containing the same ideal: 71
  102. Mon Nov 12 02:10:42 2018 removing 6023531 relations and 4023531 ideals in 2000000 cliques
  103. Mon Nov 12 02:10:43 2018 commencing in-memory singleton removal
  104. Mon Nov 12 02:10:45 2018 begin with 32858973 relations and 35724367 unique ideals
  105. Mon Nov 12 02:11:04 2018 reduce to 32239803 relations and 31054703 ideals in 7 passes
  106. Mon Nov 12 02:11:04 2018 max relations containing the same ideal: 66
  107. Mon Nov 12 02:11:17 2018 removing 291078 relations and 239561 ideals in 51517 cliques
  108. Mon Nov 12 02:11:18 2018 commencing in-memory singleton removal
  109. Mon Nov 12 02:11:20 2018 begin with 31948725 relations and 31054703 unique ideals
  110. Mon Nov 12 02:11:30 2018 reduce to 31946605 relations and 30813021 ideals in 4 passes
  111. Mon Nov 12 02:11:30 2018 max relations containing the same ideal: 65
  112. Mon Nov 12 02:11:35 2018 relations with 0 large ideals: 73576
  113. Mon Nov 12 02:11:35 2018 relations with 1 large ideals: 33195
  114. Mon Nov 12 02:11:35 2018 relations with 2 large ideals: 335107
  115. Mon Nov 12 02:11:35 2018 relations with 3 large ideals: 1737248
  116. Mon Nov 12 02:11:35 2018 relations with 4 large ideals: 4827297
  117. Mon Nov 12 02:11:35 2018 relations with 5 large ideals: 7932465
  118. Mon Nov 12 02:11:35 2018 relations with 6 large ideals: 8089054
  119. Mon Nov 12 02:11:35 2018 relations with 7+ large ideals: 8918663
  120. Mon Nov 12 02:11:35 2018 commencing 2-way merge
  121. Mon Nov 12 02:11:53 2018 reduce to 21800692 relation sets and 20667108 unique ideals
  122. Mon Nov 12 02:11:53 2018 commencing full merge
  123. Mon Nov 12 02:20:22 2018 memory use: 2711.7 MB
  124. Mon Nov 12 02:20:27 2018 found 9654755 cycles, need 9615308
  125. Mon Nov 12 02:20:27 2018 weight of 9615308 cycles is about 1154541166 (120.07/cycle)
  126. Mon Nov 12 02:20:27 2018 distribution of cycle lengths:
  127. Mon Nov 12 02:20:27 2018 1 relations: 353372
  128. Mon Nov 12 02:20:27 2018 2 relations: 503111
  129. Mon Nov 12 02:20:27 2018 3 relations: 613734
  130. Mon Nov 12 02:20:27 2018 4 relations: 660817
  131. Mon Nov 12 02:20:27 2018 5 relations: 690923
  132. Mon Nov 12 02:20:27 2018 6 relations: 696063
  133. Mon Nov 12 02:20:27 2018 7 relations: 688863
  134. Mon Nov 12 02:20:27 2018 8 relations: 665064
  135. Mon Nov 12 02:20:27 2018 9 relations: 627919
  136. Mon Nov 12 02:20:27 2018 10+ relations: 4115442
  137. Mon Nov 12 02:20:27 2018 heaviest cycle: 28 relations
  138. Mon Nov 12 02:20:31 2018 commencing cycle optimization
  139. Mon Nov 12 02:20:55 2018 start with 89689656 relations
  140. Mon Nov 12 02:25:27 2018 pruned 4632116 relations
  141. Mon Nov 12 02:25:27 2018 memory use: 2246.6 MB
  142. Mon Nov 12 02:25:27 2018 distribution of cycle lengths:
  143. Mon Nov 12 02:25:27 2018 1 relations: 353372
  144. Mon Nov 12 02:25:27 2018 2 relations: 515905
  145. Mon Nov 12 02:25:27 2018 3 relations: 640453
  146. Mon Nov 12 02:25:27 2018 4 relations: 691158
  147. Mon Nov 12 02:25:27 2018 5 relations: 730350
  148. Mon Nov 12 02:25:27 2018 6 relations: 735108
  149. Mon Nov 12 02:25:27 2018 7 relations: 732042
  150. Mon Nov 12 02:25:27 2018 8 relations: 703569
  151. Mon Nov 12 02:25:27 2018 9 relations: 664064
  152. Mon Nov 12 02:25:27 2018 10+ relations: 3849287
  153. Mon Nov 12 02:25:27 2018 heaviest cycle: 28 relations
  154. Mon Nov 12 02:25:51 2018 RelProcTime: 5811
  155. Mon Nov 12 02:25:51 2018 elapsed time 01:36:53
  156. Mon Nov 12 20:55:11 2018
  157. Mon Nov 12 20:55:11 2018
  158. Mon Nov 12 20:55:11 2018 Msieve v. 1.53 (SVN 988M)
  159. Mon Nov 12 20:55:11 2018 random seeds: 56d24bd5 996963ee
  160. Mon Nov 12 20:55:11 2018 factoring 116732847208888762646963427290110267287854941721333595770790829133614026002568170638886140213765182020681359615445968146346601070424615914653950041009308053488824075764211539201865011370223962513279217531457507 (210 digits)
  161. Mon Nov 12 20:55:12 2018 searching for 15-digit factors
  162. Mon Nov 12 20:55:13 2018 commencing number field sieve (210-digit input)
  163. Mon Nov 12 20:55:13 2018 R0: -8505622518383218065593705986567993605799
  164. Mon Nov 12 20:55:13 2018 R1: 303476585554067369725285564806070272
  165. Mon Nov 12 20:55:13 2018 A0: -1728
  166. Mon Nov 12 20:55:13 2018 A1: 12096
  167. Mon Nov 12 20:55:13 2018 A2: -18144
  168. Mon Nov 12 20:55:13 2018 A3: 7056
  169. Mon Nov 12 20:55:13 2018 A4: 2352
  170. Mon Nov 12 20:55:13 2018 A5: -2058
  171. Mon Nov 12 20:55:13 2018 A6: 343
  172. Mon Nov 12 20:55:13 2018 skew 1.31, size 3.931e-12, alpha 0.057, combined = 3.026e-13 rroots = 6
  173. Mon Nov 12 20:55:13 2018
  174. Mon Nov 12 20:55:13 2018 commencing linear algebra
  175. Mon Nov 12 20:55:15 2018 read 9615308 cycles
  176. Mon Nov 12 20:55:38 2018 cycles contain 31406302 unique relations
  177. Mon Nov 12 21:00:28 2018 read 31406302 relations
  178. Mon Nov 12 21:01:38 2018 using 20 quadratic characters above 4294917295
  179. Mon Nov 12 21:03:21 2018 building initial matrix
  180. Mon Nov 12 21:08:29 2018 memory use: 4016.3 MB
  181. Mon Nov 12 21:08:36 2018 read 9615308 cycles
  182. Mon Nov 12 21:08:37 2018 matrix is 9615131 x 9615308 (4490.9 MB) with weight 1283312854 (133.47/col)
  183. Mon Nov 12 21:08:37 2018 sparse part has weight 1071488786 (111.44/col)
  184. Mon Nov 12 21:10:14 2018 filtering completed in 2 passes
  185. Mon Nov 12 21:10:15 2018 matrix is 9614936 x 9615113 (4490.9 MB) with weight 1283306076 (133.47/col)
  186. Mon Nov 12 21:10:15 2018 sparse part has weight 1071486270 (111.44/col)
  187. Mon Nov 12 21:10:47 2018 matrix starts at (0, 0)
  188. Mon Nov 12 21:10:48 2018 matrix is 9614936 x 9615113 (4490.9 MB) with weight 1283306076 (133.47/col)
  189. Mon Nov 12 21:10:48 2018 sparse part has weight 1071486270 (111.44/col)
  190. Mon Nov 12 21:10:48 2018 saving the first 48 matrix rows for later
  191. Mon Nov 12 21:10:49 2018 matrix includes 64 packed rows
  192. Mon Nov 12 21:10:50 2018 matrix is 9614888 x 9615113 (4304.1 MB) with weight 1105367058 (114.96/col)
  193. Mon Nov 12 21:10:50 2018 sparse part has weight 1032150723 (107.35/col)
  194. Mon Nov 12 21:10:50 2018 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  195. Mon Nov 12 21:11:32 2018 commencing Lanczos iteration (8 threads)
  196. Mon Nov 12 21:11:32 2018 memory use: 3671.3 MB
  197. Mon Nov 12 21:11:50 2018 linear algebra at 0.0%, ETA 29h56m
  198. Mon Nov 12 21:11:56 2018 checkpointing every 320000 dimensions
  199. Wed Nov 14 05:19:38 2018 lanczos halted after 152047 iterations (dim = 9614886)
  200. Wed Nov 14 05:19:45 2018 recovered 33 nontrivial dependencies
  201. Wed Nov 14 05:19:47 2018 BLanczosTime: 116674
  202. Wed Nov 14 05:19:47 2018
  203. Wed Nov 14 05:19:47 2018 commencing square root phase
  204. Wed Nov 14 05:19:47 2018 reading relations for dependency 1
  205. Wed Nov 14 05:19:48 2018 read 4806945 cycles
  206. Wed Nov 14 05:19:59 2018 cycles contain 15699500 unique relations
  207. Wed Nov 14 05:22:55 2018 read 15699500 relations
  208. Wed Nov 14 05:23:57 2018 multiplying 15699500 relations
  209. Wed Nov 14 05:33:27 2018 multiply complete, coefficients have about 529.60 million bits
  210. Wed Nov 14 05:33:29 2018 initial square root is modulo 56417
  211. Wed Nov 14 05:43:16 2018 sqrtTime: 1409
  212. Wed Nov 14 05:43:16 2018 p58 factor: 3044641743550564634150644770948633625202279380906077588499
  213. Wed Nov 14 05:43:16 2018 p152 factor: 38340421317602582252665377007298131775696698863011747411067074624418975684005178035925542961062406095759836442294395329694116719795236736475289110922993
  214. Wed Nov 14 05:43:16 2018 elapsed time 32:48:05
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