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Sep 1st, 2020
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  1. Mon Aug 31 09:48:32 2020
  2. Mon Aug 31 09:48:32 2020
  3. Mon Aug 31 09:48:32 2020 Msieve v. 1.54 (SVN 1025)
  4. Mon Aug 31 09:48:32 2020 random seeds: 6710dc7b 71c43161
  5. Mon Aug 31 09:48:32 2020 factoring 83917691282742861766409485744528733029055769226648120736691676199215285911964241640838836225542712965846638767561679928324187967568646085830273509628682970429365212608610481 (173 digits)
  6. Mon Aug 31 09:48:32 2020 searching for 15-digit factors
  7. Mon Aug 31 09:48:33 2020 commencing number field sieve (173-digit input)
  8. Mon Aug 31 09:48:33 2020 R0: 33295018088676985460007048312710121368527561965754103
  9. Mon Aug 31 09:48:33 2020 R1: -1
  10. Mon Aug 31 09:48:33 2020 A0: 1
  11. Mon Aug 31 09:48:33 2020 A1: 1
  12. Mon Aug 31 09:48:33 2020 A2: 1
  13. Mon Aug 31 09:48:33 2020 A3: 1
  14. Mon Aug 31 09:48:33 2020 A4: 1
  15. Mon Aug 31 09:48:33 2020 skew 1.00, size 2.005e-21, alpha 1.694, combined = 8.488e-13 rroots = 0
  16. Mon Aug 31 09:48:33 2020
  17. Mon Aug 31 09:48:33 2020 commencing relation filtering
  18. Mon Aug 31 09:48:33 2020 setting max relations to 208000000
  19. Mon Aug 31 09:48:33 2020 setting target matrix density to 140.0
  20. Mon Aug 31 09:48:33 2020 estimated available RAM is 16007.4 MB
  21. Mon Aug 31 09:48:33 2020 commencing duplicate removal, pass 1
  22. Mon Aug 31 09:51:11 2020 error -5 reading relation 19175935
  23. Mon Aug 31 10:17:59 2020 error -11 reading relation 204935533
  24. Mon Aug 31 10:18:26 2020 skipped 425 relations with b > 2^32
  25. Mon Aug 31 10:18:26 2020 skipped 2 relations with composite factors
  26. Mon Aug 31 10:18:26 2020 found 9448446 hash collisions in 207999571 relations
  27. Mon Aug 31 10:18:26 2020 commencing duplicate removal, pass 2
  28. Mon Aug 31 10:20:25 2020 found 0 duplicates and 207999571 unique relations
  29. Mon Aug 31 10:20:25 2020 memory use: 522.4 MB
  30. Mon Aug 31 10:20:25 2020 reading ideals above 129957888
  31. Mon Aug 31 10:20:25 2020 commencing singleton removal, initial pass
  32. Mon Aug 31 10:42:18 2020 memory use: 3012.0 MB
  33. Mon Aug 31 10:42:18 2020 reading all ideals from disk
  34. Mon Aug 31 10:42:26 2020 memory use: 3372.0 MB
  35. Mon Aug 31 10:42:35 2020 commencing in-memory singleton removal
  36. Mon Aug 31 10:42:42 2020 begin with 207999571 relations and 156830466 unique ideals
  37. Mon Aug 31 10:44:22 2020 reduce to 142938291 relations and 85626870 ideals in 13 passes
  38. Mon Aug 31 10:44:22 2020 max relations containing the same ideal: 56
  39. Mon Aug 31 10:44:30 2020 reading ideals above 720000
  40. Mon Aug 31 10:44:31 2020 commencing singleton removal, initial pass
  41. Mon Aug 31 10:59:09 2020 memory use: 2756.0 MB
  42. Mon Aug 31 10:59:09 2020 reading all ideals from disk
  43. Mon Aug 31 10:59:24 2020 memory use: 5420.9 MB
  44. Mon Aug 31 10:59:37 2020 keeping 99609328 ideals with weight <= 200, target excess is 767247
  45. Mon Aug 31 10:59:51 2020 commencing in-memory singleton removal
  46. Mon Aug 31 11:00:00 2020 begin with 142938291 relations and 99609328 unique ideals
  47. Mon Aug 31 11:01:16 2020 reduce to 142924753 relations and 99595790 ideals in 7 passes
  48. Mon Aug 31 11:01:16 2020 max relations containing the same ideal: 200
  49. Mon Aug 31 11:02:04 2020 removing 9150319 relations and 7150319 ideals in 2000000 cliques
  50. Mon Aug 31 11:02:07 2020 commencing in-memory singleton removal
  51. Mon Aug 31 11:02:16 2020 begin with 133774434 relations and 99595790 unique ideals
  52. Mon Aug 31 11:03:27 2020 reduce to 133321442 relations and 91984128 ideals in 7 passes
  53. Mon Aug 31 11:03:27 2020 max relations containing the same ideal: 198
  54. Mon Aug 31 11:04:11 2020 removing 7003437 relations and 5003437 ideals in 2000000 cliques
  55. Mon Aug 31 11:04:14 2020 commencing in-memory singleton removal
  56. Mon Aug 31 11:04:23 2020 begin with 126318005 relations and 91984128 unique ideals
  57. Mon Aug 31 11:05:20 2020 reduce to 126017211 relations and 86675009 ideals in 6 passes
  58. Mon Aug 31 11:05:20 2020 max relations containing the same ideal: 193
  59. Mon Aug 31 11:06:02 2020 removing 6404151 relations and 4404151 ideals in 2000000 cliques
  60. Mon Aug 31 11:06:05 2020 commencing in-memory singleton removal
  61. Mon Aug 31 11:06:13 2020 begin with 119613060 relations and 86675009 unique ideals
  62. Mon Aug 31 11:07:07 2020 reduce to 119358352 relations and 82012183 ideals in 6 passes
  63. Mon Aug 31 11:07:07 2020 max relations containing the same ideal: 189
  64. Mon Aug 31 11:07:49 2020 removing 6092159 relations and 4092159 ideals in 2000000 cliques
  65. Mon Aug 31 11:07:52 2020 commencing in-memory singleton removal
  66. Mon Aug 31 11:07:59 2020 begin with 113266193 relations and 82012183 unique ideals
  67. Mon Aug 31 11:08:51 2020 reduce to 113036806 relations and 77686814 ideals in 6 passes
  68. Mon Aug 31 11:08:51 2020 max relations containing the same ideal: 185
  69. Mon Aug 31 11:09:30 2020 removing 5883372 relations and 3883372 ideals in 2000000 cliques
  70. Mon Aug 31 11:09:32 2020 commencing in-memory singleton removal
  71. Mon Aug 31 11:09:39 2020 begin with 107153434 relations and 77686814 unique ideals
  72. Mon Aug 31 11:10:27 2020 reduce to 106936093 relations and 73582327 ideals in 6 passes
  73. Mon Aug 31 11:10:27 2020 max relations containing the same ideal: 179
  74. Mon Aug 31 11:11:03 2020 removing 5732199 relations and 3732199 ideals in 2000000 cliques
  75. Mon Aug 31 11:11:06 2020 commencing in-memory singleton removal
  76. Mon Aug 31 11:11:12 2020 begin with 101203894 relations and 73582327 unique ideals
  77. Mon Aug 31 11:11:57 2020 reduce to 100994905 relations and 69637522 ideals in 6 passes
  78. Mon Aug 31 11:11:57 2020 max relations containing the same ideal: 173
  79. Mon Aug 31 11:12:33 2020 removing 5617566 relations and 3617566 ideals in 2000000 cliques
  80. Mon Aug 31 11:12:35 2020 commencing in-memory singleton removal
  81. Mon Aug 31 11:12:41 2020 begin with 95377339 relations and 69637522 unique ideals
  82. Mon Aug 31 11:13:23 2020 reduce to 95174495 relations and 65813300 ideals in 6 passes
  83. Mon Aug 31 11:13:23 2020 max relations containing the same ideal: 168
  84. Mon Aug 31 11:13:56 2020 removing 5524919 relations and 3524919 ideals in 2000000 cliques
  85. Mon Aug 31 11:13:58 2020 commencing in-memory singleton removal
  86. Mon Aug 31 11:14:04 2020 begin with 89649576 relations and 65813300 unique ideals
  87. Mon Aug 31 11:14:44 2020 reduce to 89449208 relations and 62084022 ideals in 6 passes
  88. Mon Aug 31 11:14:44 2020 max relations containing the same ideal: 161
  89. Mon Aug 31 11:15:15 2020 removing 5451154 relations and 3451154 ideals in 2000000 cliques
  90. Mon Aug 31 11:15:17 2020 commencing in-memory singleton removal
  91. Mon Aug 31 11:15:22 2020 begin with 83998054 relations and 62084022 unique ideals
  92. Mon Aug 31 11:15:59 2020 reduce to 83798257 relations and 58428923 ideals in 6 passes
  93. Mon Aug 31 11:15:59 2020 max relations containing the same ideal: 154
  94. Mon Aug 31 11:16:28 2020 removing 5387197 relations and 3387197 ideals in 2000000 cliques
  95. Mon Aug 31 11:16:30 2020 commencing in-memory singleton removal
  96. Mon Aug 31 11:16:35 2020 begin with 78411060 relations and 58428923 unique ideals
  97. Mon Aug 31 11:17:09 2020 reduce to 78210846 relations and 54837068 ideals in 6 passes
  98. Mon Aug 31 11:17:09 2020 max relations containing the same ideal: 150
  99. Mon Aug 31 11:17:36 2020 removing 5335220 relations and 3335220 ideals in 2000000 cliques
  100. Mon Aug 31 11:17:38 2020 commencing in-memory singleton removal
  101. Mon Aug 31 11:17:42 2020 begin with 72875626 relations and 54837068 unique ideals
  102. Mon Aug 31 11:18:10 2020 reduce to 72672984 relations and 51294489 ideals in 6 passes
  103. Mon Aug 31 11:18:10 2020 max relations containing the same ideal: 142
  104. Mon Aug 31 11:18:33 2020 removing 5288332 relations and 3288332 ideals in 2000000 cliques
  105. Mon Aug 31 11:18:34 2020 commencing in-memory singleton removal
  106. Mon Aug 31 11:18:38 2020 begin with 67384652 relations and 51294489 unique ideals
  107. Mon Aug 31 11:19:03 2020 reduce to 67176106 relations and 47792397 ideals in 6 passes
  108. Mon Aug 31 11:19:03 2020 max relations containing the same ideal: 133
  109. Mon Aug 31 11:19:24 2020 removing 5248724 relations and 3248724 ideals in 2000000 cliques
  110. Mon Aug 31 11:19:26 2020 commencing in-memory singleton removal
  111. Mon Aug 31 11:19:30 2020 begin with 61927382 relations and 47792397 unique ideals
  112. Mon Aug 31 11:19:53 2020 reduce to 61711537 relations and 44322120 ideals in 6 passes
  113. Mon Aug 31 11:19:53 2020 max relations containing the same ideal: 128
  114. Mon Aug 31 11:20:12 2020 removing 5215516 relations and 3215516 ideals in 2000000 cliques
  115. Mon Aug 31 11:20:14 2020 commencing in-memory singleton removal
  116. Mon Aug 31 11:20:17 2020 begin with 56496021 relations and 44322120 unique ideals
  117. Mon Aug 31 11:20:34 2020 reduce to 56272451 relations and 40876612 ideals in 5 passes
  118. Mon Aug 31 11:20:34 2020 max relations containing the same ideal: 119
  119. Mon Aug 31 11:20:52 2020 removing 5186349 relations and 3186349 ideals in 2000000 cliques
  120. Mon Aug 31 11:20:54 2020 commencing in-memory singleton removal
  121. Mon Aug 31 11:20:56 2020 begin with 51086102 relations and 40876612 unique ideals
  122. Mon Aug 31 11:21:15 2020 reduce to 50850744 relations and 37447479 ideals in 6 passes
  123. Mon Aug 31 11:21:15 2020 max relations containing the same ideal: 110
  124. Mon Aug 31 11:21:31 2020 removing 5156230 relations and 3156230 ideals in 2000000 cliques
  125. Mon Aug 31 11:21:33 2020 commencing in-memory singleton removal
  126. Mon Aug 31 11:21:35 2020 begin with 45694514 relations and 37447479 unique ideals
  127. Mon Aug 31 11:21:52 2020 reduce to 45443611 relations and 34032037 ideals in 6 passes
  128. Mon Aug 31 11:21:52 2020 max relations containing the same ideal: 105
  129. Mon Aug 31 11:22:06 2020 removing 5132128 relations and 3132128 ideals in 2000000 cliques
  130. Mon Aug 31 11:22:08 2020 commencing in-memory singleton removal
  131. Mon Aug 31 11:22:10 2020 begin with 40311483 relations and 34032037 unique ideals
  132. Mon Aug 31 11:22:24 2020 reduce to 40043717 relations and 30622456 ideals in 6 passes
  133. Mon Aug 31 11:22:24 2020 max relations containing the same ideal: 91
  134. Mon Aug 31 11:22:37 2020 removing 5104935 relations and 3104935 ideals in 2000000 cliques
  135. Mon Aug 31 11:22:38 2020 commencing in-memory singleton removal
  136. Mon Aug 31 11:22:40 2020 begin with 34938782 relations and 30622456 unique ideals
  137. Mon Aug 31 11:22:54 2020 reduce to 34647848 relations and 27214658 ideals in 7 passes
  138. Mon Aug 31 11:22:54 2020 max relations containing the same ideal: 85
  139. Mon Aug 31 11:23:05 2020 removing 5079249 relations and 3079249 ideals in 2000000 cliques
  140. Mon Aug 31 11:23:06 2020 commencing in-memory singleton removal
  141. Mon Aug 31 11:23:08 2020 begin with 29568599 relations and 27214658 unique ideals
  142. Mon Aug 31 11:23:18 2020 reduce to 29243378 relations and 23795189 ideals in 6 passes
  143. Mon Aug 31 11:23:18 2020 max relations containing the same ideal: 77
  144. Mon Aug 31 11:23:27 2020 removing 5049837 relations and 3049837 ideals in 2000000 cliques
  145. Mon Aug 31 11:23:28 2020 commencing in-memory singleton removal
  146. Mon Aug 31 11:23:30 2020 begin with 24193541 relations and 23795189 unique ideals
  147. Mon Aug 31 11:23:38 2020 reduce to 23811510 relations and 20342884 ideals in 6 passes
  148. Mon Aug 31 11:23:38 2020 max relations containing the same ideal: 67
  149. Mon Aug 31 11:23:45 2020 removing 5029030 relations and 3029030 ideals in 2000000 cliques
  150. Mon Aug 31 11:23:46 2020 commencing in-memory singleton removal
  151. Mon Aug 31 11:23:47 2020 begin with 18782480 relations and 20342884 unique ideals
  152. Mon Aug 31 11:23:54 2020 reduce to 18295626 relations and 16795121 ideals in 7 passes
  153. Mon Aug 31 11:23:54 2020 max relations containing the same ideal: 59
  154. Mon Aug 31 11:23:59 2020 removing 1814314 relations and 1203816 ideals in 610498 cliques
  155. Mon Aug 31 11:24:00 2020 commencing in-memory singleton removal
  156. Mon Aug 31 11:24:01 2020 begin with 16481312 relations and 16795121 unique ideals
  157. Mon Aug 31 11:24:06 2020 reduce to 16327422 relations and 15432630 ideals in 6 passes
  158. Mon Aug 31 11:24:06 2020 max relations containing the same ideal: 55
  159. Mon Aug 31 11:24:13 2020 relations with 0 large ideals: 0
  160. Mon Aug 31 11:24:13 2020 relations with 1 large ideals: 23959
  161. Mon Aug 31 11:24:13 2020 relations with 2 large ideals: 300504
  162. Mon Aug 31 11:24:13 2020 relations with 3 large ideals: 1424918
  163. Mon Aug 31 11:24:13 2020 relations with 4 large ideals: 3402144
  164. Mon Aug 31 11:24:13 2020 relations with 5 large ideals: 4630578
  165. Mon Aug 31 11:24:13 2020 relations with 6 large ideals: 3818573
  166. Mon Aug 31 11:24:13 2020 relations with 7+ large ideals: 2726746
  167. Mon Aug 31 11:24:13 2020 commencing 2-way merge
  168. Mon Aug 31 11:24:19 2020 reduce to 11457590 relation sets and 10562798 unique ideals
  169. Mon Aug 31 11:24:19 2020 commencing full merge
  170. Mon Aug 31 11:27:15 2020 memory use: 1335.0 MB
  171. Mon Aug 31 11:27:15 2020 found 4944849 cycles, need 4888998
  172. Mon Aug 31 11:27:16 2020 weight of 4888998 cycles is about 685530456 (140.22/cycle)
  173. Mon Aug 31 11:27:16 2020 distribution of cycle lengths:
  174. Mon Aug 31 11:27:16 2020 1 relations: 40241
  175. Mon Aug 31 11:27:16 2020 2 relations: 171082
  176. Mon Aug 31 11:27:16 2020 3 relations: 249933
  177. Mon Aug 31 11:27:16 2020 4 relations: 297220
  178. Mon Aug 31 11:27:16 2020 5 relations: 340780
  179. Mon Aug 31 11:27:16 2020 6 relations: 358505
  180. Mon Aug 31 11:27:16 2020 7 relations: 369077
  181. Mon Aug 31 11:27:16 2020 8 relations: 365337
  182. Mon Aug 31 11:27:17 2020 9 relations: 350970
  183. Mon Aug 31 11:27:17 2020 10+ relations: 2345853
  184. Mon Aug 31 11:27:17 2020 heaviest cycle: 27 relations
  185. Mon Aug 31 11:27:18 2020 commencing cycle optimization
  186. Mon Aug 31 11:27:26 2020 start with 48973725 relations
  187. Mon Aug 31 11:28:57 2020 pruned 3183888 relations
  188. Mon Aug 31 11:28:57 2020 memory use: 1176.1 MB
  189. Mon Aug 31 11:28:57 2020 distribution of cycle lengths:
  190. Mon Aug 31 11:28:57 2020 1 relations: 40241
  191. Mon Aug 31 11:28:57 2020 2 relations: 177487
  192. Mon Aug 31 11:28:57 2020 3 relations: 263555
  193. Mon Aug 31 11:28:57 2020 4 relations: 315801
  194. Mon Aug 31 11:28:57 2020 5 relations: 366542
  195. Mon Aug 31 11:28:57 2020 6 relations: 387819
  196. Mon Aug 31 11:28:57 2020 7 relations: 401112
  197. Mon Aug 31 11:28:57 2020 8 relations: 397403
  198. Mon Aug 31 11:28:57 2020 9 relations: 380748
  199. Mon Aug 31 11:28:57 2020 10+ relations: 2158290
  200. Mon Aug 31 11:28:57 2020 heaviest cycle: 27 relations
  201. Mon Aug 31 11:29:03 2020 RelProcTime: 6030
  202. Mon Aug 31 11:29:03 2020
  203. Mon Aug 31 11:29:03 2020 commencing linear algebra
  204. Mon Aug 31 11:29:04 2020 read 4888998 cycles
  205. Mon Aug 31 11:29:14 2020 cycles contain 15949526 unique relations
  206. Mon Aug 31 11:30:42 2020 read 15949526 relations
  207. Mon Aug 31 11:31:02 2020 using 20 quadratic characters above 4294917295
  208. Mon Aug 31 11:32:02 2020 building initial matrix
  209. Mon Aug 31 11:34:51 2020 memory use: 2007.5 MB
  210. Mon Aug 31 11:34:53 2020 read 4888998 cycles
  211. Mon Aug 31 11:34:54 2020 matrix is 4888820 x 4888998 (2557.4 MB) with weight 730228914 (149.36/col)
  212. Mon Aug 31 11:34:54 2020 sparse part has weight 616637113 (126.13/col)
  213. Mon Aug 31 11:35:51 2020 filtering completed in 2 passes
  214. Mon Aug 31 11:35:52 2020 matrix is 4888757 x 4888935 (2557.4 MB) with weight 730226340 (149.36/col)
  215. Mon Aug 31 11:35:52 2020 sparse part has weight 616636008 (126.13/col)
  216. Mon Aug 31 11:36:04 2020 matrix starts at (0, 0)
  217. Mon Aug 31 11:36:05 2020 matrix is 4888757 x 4888935 (2557.4 MB) with weight 730226340 (149.36/col)
  218. Mon Aug 31 11:36:05 2020 sparse part has weight 616636008 (126.13/col)
  219. Mon Aug 31 11:36:05 2020 saving the first 48 matrix rows for later
  220. Mon Aug 31 11:36:06 2020 matrix includes 64 packed rows
  221. Mon Aug 31 11:36:07 2020 matrix is 4888709 x 4888935 (2447.2 MB) with weight 635133115 (129.91/col)
  222. Mon Aug 31 11:36:07 2020 sparse part has weight 592631461 (121.22/col)
  223. Mon Aug 31 11:36:07 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  224. Mon Aug 31 11:36:22 2020 commencing Lanczos iteration (4 threads)
  225. Mon Aug 31 11:36:22 2020 memory use: 2292.5 MB
  226. Mon Aug 31 11:36:42 2020 linear algebra at 0.0%, ETA 16h55m
  227. Mon Aug 31 11:36:49 2020 checkpointing every 290000 dimensions
  228. Tue Sep 1 02:44:06 2020 lanczos halted after 77314 iterations (dim = 4888707)
  229. Tue Sep 1 02:44:13 2020 recovered 38 nontrivial dependencies
  230. Tue Sep 1 02:44:13 2020 BLanczosTime: 54910
  231. Tue Sep 1 02:44:13 2020
  232. Tue Sep 1 02:44:13 2020 commencing square root phase
  233. Tue Sep 1 02:44:13 2020 handling dependencies 1 to 64
  234. Tue Sep 1 02:44:13 2020 reading relations for dependency 1
  235. Tue Sep 1 02:44:13 2020 read 2443955 cycles
  236. Tue Sep 1 02:44:17 2020 cycles contain 7972812 unique relations
  237. Tue Sep 1 02:45:17 2020 read 7972812 relations
  238. Tue Sep 1 02:45:41 2020 multiplying 7972812 relations
  239. Tue Sep 1 02:47:42 2020 multiply complete, coefficients have about 201.98 million bits
  240. Tue Sep 1 02:47:42 2020 initial square root is modulo 17725483
  241. Tue Sep 1 02:50:19 2020 sqrtTime: 366
  242. Tue Sep 1 02:50:19 2020 p77 factor: 92186064723706228707816415327464039158345554914959438784329427935568842178211
  243. Tue Sep 1 02:50:19 2020 p96 factor: 910307773026815163577893466737026540660379625674414304426091386123474767654359198952929091132571
  244. Tue Sep 1 02:50:19 2020 elapsed time 17:01:47
  245.  
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