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Jun 16th, 2020
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  1. Wed Apr 15 19:55:41 2020 Msieve v. 1.54 (SVN 1025)
  2. Wed Apr 15 19:55:41 2020 random seeds: b921c8fa 34a56e15
  3. Wed Apr 15 19:55:41 2020 factoring 849762165915052153105075179932613231295150230831359506786793320897409022638794578789387837681323714563793925071264146250187780569733550336909375221370059370415681011149985843 (174 digits)
  4. Wed Apr 15 19:55:42 2020 no P-1/P+1/ECM available, skipping
  5. Wed Apr 15 19:55:42 2020 commencing number field sieve (174-digit input)
  6. Wed Apr 15 19:55:42 2020 R0: -6851547730365857272876466525635062
  7. Wed Apr 15 19:55:42 2020 R1: 2010859608609188599
  8. Wed Apr 15 19:55:42 2020 A0: -26251727736585797240897293994414053040614613
  9. Wed Apr 15 19:55:42 2020 A1: 444102868925526573054069267797336911
  10. Wed Apr 15 19:55:42 2020 A2: 90902249137742244191722558707
  11. Wed Apr 15 19:55:42 2020 A3: -969223020602161612111
  12. Wed Apr 15 19:55:42 2020 A4: -59770671775414
  13. Wed Apr 15 19:55:42 2020 A5: 56280
  14. Wed Apr 15 19:55:42 2020 skew 45777825.75, size 4.643e-17, alpha -7.608, combined = 1.771e-13 rroots = 5
  15. Wed Apr 15 19:55:42 2020
  16. Wed Apr 15 19:55:42 2020 commencing relation filtering
  17. Wed Apr 15 19:55:42 2020 setting target matrix density to 138.0
  18. Wed Apr 15 19:55:42 2020 estimated available RAM is 15892.1 MB
  19. Wed Apr 15 19:55:42 2020 commencing duplicate removal, pass 1
  20. Wed Apr 15 20:29:08 2020 skipped 540 relations with composite factors
  21. Wed Apr 15 20:29:08 2020 found 67695869 hash collisions in 266550736 relations
  22. Wed Apr 15 20:29:32 2020 added 1 free relations
  23. Wed Apr 15 20:29:32 2020 commencing duplicate removal, pass 2
  24. Wed Apr 15 20:35:09 2020 found 74525839 duplicates and 192024898 unique relations
  25. Wed Apr 15 20:35:09 2020 memory use: 1449.5 MB
  26. Wed Apr 15 20:35:09 2020 reading ideals above 214761472
  27. Wed Apr 15 20:35:09 2020 commencing singleton removal, initial pass
  28. Wed Apr 15 20:54:30 2020 memory use: 3012.0 MB
  29. Wed Apr 15 20:54:30 2020 reading all ideals from disk
  30. Wed Apr 15 20:54:41 2020 memory use: 3199.3 MB
  31. Wed Apr 15 20:54:49 2020 commencing in-memory singleton removal
  32. Wed Apr 15 20:54:57 2020 begin with 192024898 relations and 152331886 unique ideals
  33. Wed Apr 15 20:56:16 2020 reduce to 126012921 relations and 79736490 ideals in 13 passes
  34. Wed Apr 15 20:56:16 2020 max relations containing the same ideal: 33
  35. Wed Apr 15 20:56:25 2020 reading ideals above 720000
  36. Wed Apr 15 20:56:26 2020 commencing singleton removal, initial pass
  37. Wed Apr 15 21:18:20 2020 memory use: 2756.0 MB
  38. Wed Apr 15 21:18:20 2020 reading all ideals from disk
  39. Wed Apr 15 21:18:38 2020 memory use: 4985.3 MB
  40. Wed Apr 15 21:19:02 2020 keeping 102756958 ideals with weight <= 200, target excess is 660759
  41. Wed Apr 15 21:19:24 2020 commencing in-memory singleton removal
  42. Wed Apr 15 21:19:43 2020 begin with 126012921 relations and 102756958 unique ideals
  43. Wed Apr 15 21:22:56 2020 reduce to 125834676 relations and 102578668 ideals in 11 passes
  44. Wed Apr 15 21:22:56 2020 max relations containing the same ideal: 200
  45. Wed Apr 15 21:24:22 2020 removing 10748526 relations and 8748526 ideals in 2000000 cliques
  46. Wed Apr 15 21:24:25 2020 commencing in-memory singleton removal
  47. Wed Apr 15 21:24:43 2020 begin with 115086150 relations and 102578668 unique ideals
  48. Wed Apr 15 21:26:51 2020 reduce to 114439111 relations and 93170414 ideals in 8 passes
  49. Wed Apr 15 21:26:51 2020 max relations containing the same ideal: 196
  50. Wed Apr 15 21:28:09 2020 removing 8191931 relations and 6191931 ideals in 2000000 cliques
  51. Wed Apr 15 21:28:12 2020 commencing in-memory singleton removal
  52. Wed Apr 15 21:28:28 2020 begin with 106247180 relations and 93170414 unique ideals
  53. Wed Apr 15 21:30:24 2020 reduce to 105815038 relations and 86538791 ideals in 8 passes
  54. Wed Apr 15 21:30:24 2020 max relations containing the same ideal: 189
  55. Wed Apr 15 21:31:30 2020 removing 7415816 relations and 5415816 ideals in 2000000 cliques
  56. Wed Apr 15 21:31:33 2020 commencing in-memory singleton removal
  57. Wed Apr 15 21:31:46 2020 begin with 98399222 relations and 86538791 unique ideals
  58. Wed Apr 15 21:33:07 2020 reduce to 98020276 relations and 80737335 ideals in 7 passes
  59. Wed Apr 15 21:33:07 2020 max relations containing the same ideal: 182
  60. Wed Apr 15 21:34:10 2020 removing 7013075 relations and 5013075 ideals in 2000000 cliques
  61. Wed Apr 15 21:34:12 2020 commencing in-memory singleton removal
  62. Wed Apr 15 21:34:26 2020 begin with 91007201 relations and 80737335 unique ideals
  63. Wed Apr 15 21:35:48 2020 reduce to 90651334 relations and 75361899 ideals in 7 passes
  64. Wed Apr 15 21:35:48 2020 max relations containing the same ideal: 172
  65. Wed Apr 15 21:36:49 2020 removing 6757332 relations and 4757332 ideals in 2000000 cliques
  66. Wed Apr 15 21:36:51 2020 commencing in-memory singleton removal
  67. Wed Apr 15 21:37:04 2020 begin with 83894002 relations and 75361899 unique ideals
  68. Wed Apr 15 21:38:20 2020 reduce to 83545086 relations and 70248982 ideals in 7 passes
  69. Wed Apr 15 21:38:20 2020 max relations containing the same ideal: 163
  70. Wed Apr 15 21:39:16 2020 removing 6582594 relations and 4582594 ideals in 2000000 cliques
  71. Wed Apr 15 21:39:19 2020 commencing in-memory singleton removal
  72. Wed Apr 15 21:39:28 2020 begin with 76962492 relations and 70248982 unique ideals
  73. Wed Apr 15 21:40:36 2020 reduce to 76614858 relations and 65311525 ideals in 7 passes
  74. Wed Apr 15 21:40:36 2020 max relations containing the same ideal: 152
  75. Wed Apr 15 21:41:26 2020 removing 6454309 relations and 4454309 ideals in 2000000 cliques
  76. Wed Apr 15 21:41:29 2020 commencing in-memory singleton removal
  77. Wed Apr 15 21:41:38 2020 begin with 70160549 relations and 65311525 unique ideals
  78. Wed Apr 15 21:42:42 2020 reduce to 69803038 relations and 60491731 ideals in 7 passes
  79. Wed Apr 15 21:42:42 2020 max relations containing the same ideal: 145
  80. Wed Apr 15 21:43:29 2020 removing 6361350 relations and 4361350 ideals in 2000000 cliques
  81. Wed Apr 15 21:43:31 2020 commencing in-memory singleton removal
  82. Wed Apr 15 21:43:40 2020 begin with 63441688 relations and 60491731 unique ideals
  83. Wed Apr 15 21:44:36 2020 reduce to 63065659 relations and 55745171 ideals in 7 passes
  84. Wed Apr 15 21:44:36 2020 max relations containing the same ideal: 135
  85. Wed Apr 15 21:45:18 2020 removing 6301155 relations and 4301155 ideals in 2000000 cliques
  86. Wed Apr 15 21:45:20 2020 commencing in-memory singleton removal
  87. Wed Apr 15 21:45:28 2020 begin with 56764504 relations and 55745171 unique ideals
  88. Wed Apr 15 21:46:10 2020 reduce to 56355188 relations and 51023795 ideals in 6 passes
  89. Wed Apr 15 21:46:10 2020 max relations containing the same ideal: 128
  90. Wed Apr 15 21:46:46 2020 removing 6278813 relations and 4278813 ideals in 2000000 cliques
  91. Wed Apr 15 21:46:48 2020 commencing in-memory singleton removal
  92. Wed Apr 15 21:46:54 2020 begin with 50076375 relations and 51023795 unique ideals
  93. Wed Apr 15 21:47:40 2020 reduce to 49615065 relations and 46269952 ideals in 8 passes
  94. Wed Apr 15 21:47:40 2020 max relations containing the same ideal: 114
  95. Wed Apr 15 21:48:10 2020 removing 6294386 relations and 4294386 ideals in 2000000 cliques
  96. Wed Apr 15 21:48:12 2020 commencing in-memory singleton removal
  97. Wed Apr 15 21:48:18 2020 begin with 43320679 relations and 46269952 unique ideals
  98. Wed Apr 15 21:48:50 2020 reduce to 42771717 relations and 41408063 ideals in 7 passes
  99. Wed Apr 15 21:48:50 2020 max relations containing the same ideal: 104
  100. Wed Apr 15 21:49:17 2020 removing 2410947 relations and 1813774 ideals in 597173 cliques
  101. Wed Apr 15 21:49:19 2020 commencing in-memory singleton removal
  102. Wed Apr 15 21:49:24 2020 begin with 40360770 relations and 41408063 unique ideals
  103. Wed Apr 15 21:49:56 2020 reduce to 40267639 relations and 39500032 ideals in 7 passes
  104. Wed Apr 15 21:49:56 2020 max relations containing the same ideal: 101
  105. Wed Apr 15 21:50:28 2020 relations with 0 large ideals: 2174
  106. Wed Apr 15 21:50:28 2020 relations with 1 large ideals: 9088
  107. Wed Apr 15 21:50:28 2020 relations with 2 large ideals: 139409
  108. Wed Apr 15 21:50:28 2020 relations with 3 large ideals: 949068
  109. Wed Apr 15 21:50:28 2020 relations with 4 large ideals: 3499925
  110. Wed Apr 15 21:50:28 2020 relations with 5 large ideals: 7732172
  111. Wed Apr 15 21:50:28 2020 relations with 6 large ideals: 10821912
  112. Wed Apr 15 21:50:28 2020 relations with 7+ large ideals: 17113891
  113. Wed Apr 15 21:50:28 2020 commencing 2-way merge
  114. Wed Apr 15 21:51:02 2020 reduce to 27374757 relation sets and 26607150 unique ideals
  115. Wed Apr 15 21:51:02 2020 commencing full merge
  116. Wed Apr 15 22:02:14 2020 memory use: 3222.8 MB
  117. Wed Apr 15 22:02:17 2020 found 11730167 cycles, need 11725350
  118. Wed Apr 15 22:02:21 2020 weight of 11725350 cycles is about 1618332686 (138.02/cycle)
  119. Wed Apr 15 22:02:21 2020 distribution of cycle lengths:
  120. Wed Apr 15 22:02:21 2020 1 relations: 304271
  121. Wed Apr 15 22:02:21 2020 2 relations: 552459
  122. Wed Apr 15 22:02:21 2020 3 relations: 710471
  123. Wed Apr 15 22:02:21 2020 4 relations: 771393
  124. Wed Apr 15 22:02:21 2020 5 relations: 829933
  125. Wed Apr 15 22:02:21 2020 6 relations: 844120
  126. Wed Apr 15 22:02:21 2020 7 relations: 839269
  127. Wed Apr 15 22:02:21 2020 8 relations: 825494
  128. Wed Apr 15 22:02:21 2020 9 relations: 785813
  129. Wed Apr 15 22:02:21 2020 10+ relations: 5262127
  130. Wed Apr 15 22:02:21 2020 heaviest cycle: 28 relations
  131. Wed Apr 15 22:02:23 2020 commencing cycle optimization
  132. Wed Apr 15 22:02:51 2020 start with 112527658 relations
  133. Wed Apr 15 22:07:46 2020 pruned 6053247 relations
  134. Wed Apr 15 22:07:46 2020 memory use: 2831.9 MB
  135. Wed Apr 15 22:07:46 2020 distribution of cycle lengths:
  136. Wed Apr 15 22:07:46 2020 1 relations: 304271
  137. Wed Apr 15 22:07:46 2020 2 relations: 570079
  138. Wed Apr 15 22:07:46 2020 3 relations: 745318
  139. Wed Apr 15 22:07:46 2020 4 relations: 810546
  140. Wed Apr 15 22:07:46 2020 5 relations: 879969
  141. Wed Apr 15 22:07:46 2020 6 relations: 894759
  142. Wed Apr 15 22:07:46 2020 7 relations: 894458
  143. Wed Apr 15 22:07:46 2020 8 relations: 876111
  144. Wed Apr 15 22:07:46 2020 9 relations: 833090
  145. Wed Apr 15 22:07:46 2020 10+ relations: 4916749
  146. Wed Apr 15 22:07:46 2020 heaviest cycle: 28 relations
  147. Wed Apr 15 22:08:31 2020 RelProcTime: 7969
  148. Wed Apr 15 22:08:31 2020 elapsed time 02:12:50
  149.  
  150. Thu Apr 16 00:52:05 2020 Msieve v. 1.54 (SVN 1025)
  151. Thu Apr 16 00:52:05 2020 random seeds: 2e4aa23d 34839fb1
  152. Thu Apr 16 00:52:05 2020 factoring 849762165915052153105075179932613231295150230831359506786793320897409022638794578789387837681323714563793925071264146250187780569733550336909375221370059370415681011149985843 (174 digits)
  153. Thu Apr 16 00:52:05 2020 no P-1/P+1/ECM available, skipping
  154. Thu Apr 16 00:52:05 2020 commencing number field sieve (174-digit input)
  155. Thu Apr 16 00:52:05 2020 R0: -6851547730365857272876466525635062
  156. Thu Apr 16 00:52:05 2020 R1: 2010859608609188599
  157. Thu Apr 16 00:52:05 2020 A0: -26251727736585797240897293994414053040614613
  158. Thu Apr 16 00:52:05 2020 A1: 444102868925526573054069267797336911
  159. Thu Apr 16 00:52:05 2020 A2: 90902249137742244191722558707
  160. Thu Apr 16 00:52:05 2020 A3: -969223020602161612111
  161. Thu Apr 16 00:52:05 2020 A4: -59770671775414
  162. Thu Apr 16 00:52:05 2020 A5: 56280
  163. Thu Apr 16 00:52:05 2020 skew 45777825.75, size 4.643e-17, alpha -7.608, combined = 1.771e-13 rroots = 5
  164. Thu Apr 16 00:52:05 2020
  165. Thu Apr 16 00:52:05 2020 commencing linear algebra
  166. Thu Apr 16 00:52:07 2020 read 11725350 cycles
  167. Thu Apr 16 00:52:40 2020 cycles contain 39898275 unique relations
  168. Thu Apr 16 00:58:41 2020 read 39898275 relations
  169. Thu Apr 16 01:00:02 2020 using 20 quadratic characters above 4294917295
  170. Thu Apr 16 01:03:14 2020 building initial matrix
  171. Thu Apr 16 01:16:20 2020 memory use: 5648.7 MB
  172. Thu Apr 16 01:16:38 2020 read 11725350 cycles
  173. Thu Apr 16 01:16:40 2020 matrix is 11725171 x 11725350 (6192.9 MB) with weight 1860721758 (158.69/col)
  174. Thu Apr 16 01:16:40 2020 sparse part has weight 1482726435 (126.45/col)
  175. Thu Apr 16 01:19:15 2020 filtering completed in 2 passes
  176. Thu Apr 16 01:19:18 2020 matrix is 11725149 x 11725328 (6192.9 MB) with weight 1860720830 (158.69/col)
  177. Thu Apr 16 01:19:18 2020 sparse part has weight 1482726237 (126.45/col)
  178. Thu Apr 16 01:20:51 2020 matrix starts at (0, 0)
  179. Thu Apr 16 01:20:52 2020 matrix is 11725149 x 11725328 (6192.9 MB) with weight 1860720830 (158.69/col)
  180. Thu Apr 16 01:20:52 2020 sparse part has weight 1482726237 (126.45/col)
  181. Thu Apr 16 01:20:52 2020 saving the first 48 matrix rows for later
  182. Thu Apr 16 01:20:55 2020 matrix includes 64 packed rows
  183. Thu Apr 16 01:20:56 2020 matrix is 11725101 x 11725328 (6012.1 MB) with weight 1608171363 (137.15/col)
  184. Thu Apr 16 01:20:56 2020 sparse part has weight 1458776637 (124.41/col)
  185. Thu Apr 16 01:20:56 2020 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  186. Thu Apr 16 01:21:46 2020 commencing Lanczos iteration (4 threads)
  187. Thu Apr 16 01:21:46 2020 memory use: 5583.1 MB
  188. Thu Apr 16 01:22:53 2020 linear algebra at 0.0%, ETA 137h28m
  189. Thu Apr 16 01:23:10 2020 checkpointing every 90000 dimensions
  190. Thu Apr 16 01:23:44 2020 lanczos halted after 47 iterations (dim = 2976)
  191. Thu Apr 16 01:23:44 2020 BLanczosTime: 1899
  192. Thu Apr 16 01:23:44 2020 elapsed time 00:31:39
  193.  
  194. Sat Jun 6 11:10:50 2020 Msieve v. 1.54 (SVN 1025)
  195. Sat Jun 6 11:10:50 2020 random seeds: 69700269 c57c9920
  196. Sat Jun 6 11:10:50 2020 factoring 849762165915052153105075179932613231295150230831359506786793320897409022638794578789387837681323714563793925071264146250187780569733550336909375221370059370415681011149985843 (174 digits)
  197. Sat Jun 6 11:10:50 2020 no P-1/P+1/ECM available, skipping
  198. Sat Jun 6 11:10:50 2020 commencing number field sieve (174-digit input)
  199. Sat Jun 6 11:10:50 2020 R0: -6851547730365857272876466525635062
  200. Sat Jun 6 11:10:50 2020 R1: 2010859608609188599
  201. Sat Jun 6 11:10:50 2020 A0: -26251727736585797240897293994414053040614613
  202. Sat Jun 6 11:10:50 2020 A1: 444102868925526573054069267797336911
  203. Sat Jun 6 11:10:50 2020 A2: 90902249137742244191722558707
  204. Sat Jun 6 11:10:50 2020 A3: -969223020602161612111
  205. Sat Jun 6 11:10:50 2020 A4: -59770671775414
  206. Sat Jun 6 11:10:50 2020 A5: 56280
  207. Sat Jun 6 11:10:50 2020 skew 45777825.75, size 4.643e-17, alpha -7.608, combined = 1.771e-13 rroots = 5
  208. Sat Jun 6 11:10:50 2020
  209. Sat Jun 6 11:10:50 2020 commencing linear algebra
  210. Sat Jun 6 11:13:22 2020 matrix starts at (0, 0)
  211. Sat Jun 6 11:13:24 2020 matrix is 11725149 x 11725328 (6192.9 MB) with weight 1860720830 (158.69/col)
  212. Sat Jun 6 11:13:24 2020 sparse part has weight 1482726237 (126.45/col)
  213. Sat Jun 6 11:13:24 2020 saving the first 48 matrix rows for later
  214. Sat Jun 6 11:13:26 2020 matrix includes 64 packed rows
  215. Sat Jun 6 11:13:27 2020 matrix is 11725101 x 11725328 (6012.1 MB) with weight 1608171363 (137.15/col)
  216. Sat Jun 6 11:13:27 2020 sparse part has weight 1458776637 (124.41/col)
  217. Sat Jun 6 11:13:27 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  218. Sat Jun 6 11:14:11 2020 commencing Lanczos iteration (4 threads)
  219. Sat Jun 6 11:14:11 2020 memory use: 5583.1 MB
  220. Sat Jun 6 11:14:23 2020 restarting at iteration 1582 (dim = 100021)
  221. Sat Jun 6 11:15:22 2020 linear algebra at 0.9%, ETA 125h39m
  222. Sat Jun 6 11:15:42 2020 checkpointing every 100000 dimensions
  223. Thu Jun 11 17:14:21 2020 lanczos halted after 185405 iterations (dim = 11725098)
  224. Thu Jun 11 17:14:33 2020 recovered 27 nontrivial dependencies
  225. Thu Jun 11 17:14:33 2020 BLanczosTime: 453823
  226. Thu Jun 11 17:14:33 2020
  227. Thu Jun 11 17:14:33 2020 commencing square root phase
  228. Thu Jun 11 17:14:33 2020 reading relations for dependency 1
  229. Thu Jun 11 17:14:48 2020 read 5861257 cycles
  230. Thu Jun 11 17:15:00 2020 cycles contain 19949964 unique relations
  231. Thu Jun 11 17:21:19 2020 read 19949964 relations
  232. Thu Jun 11 17:22:42 2020 multiplying 19949964 relations
  233. Thu Jun 11 17:47:15 2020 multiply complete, coefficients have about 1141.98 million bits
  234. Thu Jun 11 17:47:21 2020 initial square root is modulo 132661
  235. Thu Jun 11 18:15:51 2020 sqrtTime: 3678
  236. Thu Jun 11 18:15:51 2020 p87 factor: 135531990359151426197826571403097324847072755885702348818080419772292023012298962561441
  237. Thu Jun 11 18:15:51 2020 p88 factor: 6269827246417873415273428240086349929780657321174705147598678733065946774878568940304723
  238. Thu Jun 11 18:15:51 2020 elapsed time 127:05:01
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