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  1. Thu Nov 19 15:47:39 2020
  2. Thu Nov 19 15:47:39 2020
  3. Thu Nov 19 15:47:39 2020 Msieve v. 1.54 (SVN 1028)
  4. Thu Nov 19 15:47:39 2020 random seeds: 05557e9a a79a616a
  5. Thu Nov 19 15:47:39 2020 factoring 111812867780754346560415289999565367225454303594734581562227132753730403501180897472097054990558568023911409057075955845067437060818207472286533090719208303228335541944193280571602322588666038416993870470159838517777152295693 (225 digits)
  6. Thu Nov 19 15:47:40 2020 no P-1/P+1/ECM available, skipping
  7. Thu Nov 19 15:47:40 2020 commencing number field sieve (225-digit input)
  8. Thu Nov 19 15:47:40 2020 R0: 5444517870735015415413993718908291383296
  9. Thu Nov 19 15:47:40 2020 R1: -1
  10. Thu Nov 19 15:47:40 2020 A0: -2
  11. Thu Nov 19 15:47:40 2020 A1: 0
  12. Thu Nov 19 15:47:40 2020 A2: 0
  13. Thu Nov 19 15:47:40 2020 A3: 0
  14. Thu Nov 19 15:47:40 2020 A4: 0
  15. Thu Nov 19 15:47:40 2020 A5: 0
  16. Thu Nov 19 15:47:40 2020 A6: 5
  17. Thu Nov 19 15:47:40 2020 skew 0.87, size 6.132e-12, alpha 2.819, combined = 4.491e-13 rroots = 2
  18. Thu Nov 19 15:47:40 2020
  19. Thu Nov 19 15:47:40 2020 commencing relation filtering
  20. Thu Nov 19 15:47:40 2020 setting target matrix density to 110.0
  21. Thu Nov 19 15:47:40 2020 estimated available RAM is 31953.3 MB
  22. Thu Nov 19 15:47:40 2020 commencing duplicate removal, pass 1
  23. Thu Nov 19 15:55:05 2020 error -15 reading relation 37490592
  24. Thu Nov 19 16:15:16 2020 error -15 reading relation 160415083
  25. Thu Nov 19 16:16:37 2020 skipped 130 relations with b > 2^32
  26. Thu Nov 19 16:16:37 2020 skipped 2 relations with composite factors
  27. Thu Nov 19 16:16:37 2020 found 6333131 hash collisions in 169144626 relations
  28. Thu Nov 19 16:16:57 2020 added 1218409 free relations
  29. Thu Nov 19 16:16:57 2020 commencing duplicate removal, pass 2
  30. Thu Nov 19 16:17:44 2020 found 0 duplicates and 170363035 unique relations
  31. Thu Nov 19 16:17:44 2020 memory use: 506.4 MB
  32. Thu Nov 19 16:17:44 2020 reading ideals above 72024064
  33. Thu Nov 19 16:17:44 2020 commencing singleton removal, initial pass
  34. Thu Nov 19 16:36:16 2020 memory use: 3012.0 MB
  35. Thu Nov 19 16:36:16 2020 reading all ideals from disk
  36. Thu Nov 19 16:36:18 2020 memory use: 2996.1 MB
  37. Thu Nov 19 16:36:26 2020 commencing in-memory singleton removal
  38. Thu Nov 19 16:36:34 2020 begin with 170363035 relations and 154725768 unique ideals
  39. Thu Nov 19 16:37:31 2020 reduce to 83996971 relations and 57776234 ideals in 12 passes
  40. Thu Nov 19 16:37:31 2020 max relations containing the same ideal: 26
  41. Thu Nov 19 16:37:37 2020 reading ideals above 720000
  42. Thu Nov 19 16:37:37 2020 commencing singleton removal, initial pass
  43. Thu Nov 19 16:48:52 2020 memory use: 1506.0 MB
  44. Thu Nov 19 16:48:52 2020 reading all ideals from disk
  45. Thu Nov 19 16:48:54 2020 memory use: 3274.2 MB
  46. Thu Nov 19 16:49:05 2020 keeping 65761134 ideals with weight <= 200, target excess is 475057
  47. Thu Nov 19 16:49:16 2020 commencing in-memory singleton removal
  48. Thu Nov 19 16:49:25 2020 begin with 83996971 relations and 65761134 unique ideals
  49. Thu Nov 19 16:50:07 2020 reduce to 83996736 relations and 65760899 ideals in 5 passes
  50. Thu Nov 19 16:50:07 2020 max relations containing the same ideal: 200
  51. Thu Nov 19 16:50:52 2020 removing 8639762 relations and 6639762 ideals in 2000000 cliques
  52. Thu Nov 19 16:50:55 2020 commencing in-memory singleton removal
  53. Thu Nov 19 16:51:03 2020 begin with 75356974 relations and 65760899 unique ideals
  54. Thu Nov 19 16:51:55 2020 reduce to 74723596 relations and 58469713 ideals in 7 passes
  55. Thu Nov 19 16:51:55 2020 max relations containing the same ideal: 192
  56. Thu Nov 19 16:52:36 2020 removing 6975638 relations and 4975638 ideals in 2000000 cliques
  57. Thu Nov 19 16:52:38 2020 commencing in-memory singleton removal
  58. Thu Nov 19 16:52:45 2020 begin with 67747958 relations and 58469713 unique ideals
  59. Thu Nov 19 16:53:32 2020 reduce to 67286556 relations and 53020655 ideals in 7 passes
  60. Thu Nov 19 16:53:32 2020 max relations containing the same ideal: 181
  61. Thu Nov 19 16:54:08 2020 removing 6495458 relations and 4495458 ideals in 2000000 cliques
  62. Thu Nov 19 16:54:10 2020 commencing in-memory singleton removal
  63. Thu Nov 19 16:54:17 2020 begin with 60791098 relations and 53020655 unique ideals
  64. Thu Nov 19 16:54:58 2020 reduce to 60365046 relations and 48087342 ideals in 7 passes
  65. Thu Nov 19 16:54:58 2020 max relations containing the same ideal: 174
  66. Thu Nov 19 16:55:31 2020 removing 6265175 relations and 4265175 ideals in 2000000 cliques
  67. Thu Nov 19 16:55:33 2020 commencing in-memory singleton removal
  68. Thu Nov 19 16:55:38 2020 begin with 54099871 relations and 48087342 unique ideals
  69. Thu Nov 19 16:56:14 2020 reduce to 53671481 relations and 43381000 ideals in 7 passes
  70. Thu Nov 19 16:56:14 2020 max relations containing the same ideal: 161
  71. Thu Nov 19 16:56:43 2020 removing 6133069 relations and 4133069 ideals in 2000000 cliques
  72. Thu Nov 19 16:56:45 2020 commencing in-memory singleton removal
  73. Thu Nov 19 16:56:50 2020 begin with 47538412 relations and 43381000 unique ideals
  74. Thu Nov 19 16:57:21 2020 reduce to 47089445 relations and 38784103 ideals in 7 passes
  75. Thu Nov 19 16:57:21 2020 max relations containing the same ideal: 144
  76. Thu Nov 19 16:57:46 2020 removing 6063848 relations and 4063848 ideals in 2000000 cliques
  77. Thu Nov 19 16:57:49 2020 commencing in-memory singleton removal
  78. Thu Nov 19 16:57:53 2020 begin with 41025597 relations and 38784103 unique ideals
  79. Thu Nov 19 16:58:23 2020 reduce to 40534327 relations and 34210994 ideals in 8 passes
  80. Thu Nov 19 16:58:23 2020 max relations containing the same ideal: 130
  81. Thu Nov 19 16:58:45 2020 removing 6040207 relations and 4040207 ideals in 2000000 cliques
  82. Thu Nov 19 16:58:47 2020 commencing in-memory singleton removal
  83. Thu Nov 19 16:58:50 2020 begin with 34494120 relations and 34210994 unique ideals
  84. Thu Nov 19 16:59:14 2020 reduce to 33934575 relations and 29587776 ideals in 8 passes
  85. Thu Nov 19 16:59:14 2020 max relations containing the same ideal: 114
  86. Thu Nov 19 16:59:33 2020 removing 6045377 relations and 4045377 ideals in 2000000 cliques
  87. Thu Nov 19 16:59:35 2020 commencing in-memory singleton removal
  88. Thu Nov 19 16:59:37 2020 begin with 27889198 relations and 29587776 unique ideals
  89. Thu Nov 19 16:59:54 2020 reduce to 27219215 relations and 24838936 ideals in 7 passes
  90. Thu Nov 19 16:59:54 2020 max relations containing the same ideal: 99
  91. Thu Nov 19 17:00:09 2020 removing 5658066 relations and 3828854 ideals in 1829212 cliques
  92. Thu Nov 19 17:00:10 2020 commencing in-memory singleton removal
  93. Thu Nov 19 17:00:12 2020 begin with 21561149 relations and 24838936 unique ideals
  94. Thu Nov 19 17:00:28 2020 reduce to 20809198 relations and 20215009 ideals in 9 passes
  95. Thu Nov 19 17:00:28 2020 max relations containing the same ideal: 81
  96. Thu Nov 19 17:00:39 2020 removing 271092 relations and 227970 ideals in 43122 cliques
  97. Thu Nov 19 17:00:40 2020 commencing in-memory singleton removal
  98. Thu Nov 19 17:00:42 2020 begin with 20538106 relations and 20215009 unique ideals
  99. Thu Nov 19 17:00:51 2020 reduce to 20535714 relations and 19984641 ideals in 6 passes
  100. Thu Nov 19 17:00:51 2020 max relations containing the same ideal: 80
  101. Thu Nov 19 17:00:56 2020 relations with 0 large ideals: 17032
  102. Thu Nov 19 17:00:56 2020 relations with 1 large ideals: 4221
  103. Thu Nov 19 17:00:56 2020 relations with 2 large ideals: 63288
  104. Thu Nov 19 17:00:56 2020 relations with 3 large ideals: 456001
  105. Thu Nov 19 17:00:56 2020 relations with 4 large ideals: 1731887
  106. Thu Nov 19 17:00:56 2020 relations with 5 large ideals: 3869101
  107. Thu Nov 19 17:00:56 2020 relations with 6 large ideals: 5384407
  108. Thu Nov 19 17:00:56 2020 relations with 7+ large ideals: 9009777
  109. Thu Nov 19 17:00:56 2020 commencing 2-way merge
  110. Thu Nov 19 17:01:09 2020 reduce to 13064931 relation sets and 12513858 unique ideals
  111. Thu Nov 19 17:01:09 2020 commencing full merge
  112. Thu Nov 19 17:05:59 2020 memory use: 1767.6 MB
  113. Thu Nov 19 17:06:00 2020 found 6193851 cycles, need 6142058
  114. Thu Nov 19 17:06:02 2020 weight of 6142058 cycles is about 676089690 (110.08/cycle)
  115. Thu Nov 19 17:06:02 2020 distribution of cycle lengths:
  116. Thu Nov 19 17:06:02 2020 1 relations: 302417
  117. Thu Nov 19 17:06:02 2020 2 relations: 390628
  118. Thu Nov 19 17:06:02 2020 3 relations: 454248
  119. Thu Nov 19 17:06:02 2020 4 relations: 486365
  120. Thu Nov 19 17:06:02 2020 5 relations: 507730
  121. Thu Nov 19 17:06:02 2020 6 relations: 505763
  122. Thu Nov 19 17:06:02 2020 7 relations: 490846
  123. Thu Nov 19 17:06:02 2020 8 relations: 459434
  124. Thu Nov 19 17:06:02 2020 9 relations: 420078
  125. Thu Nov 19 17:06:02 2020 10+ relations: 2124549
  126. Thu Nov 19 17:06:02 2020 heaviest cycle: 28 relations
  127. Thu Nov 19 17:06:04 2020 commencing cycle optimization
  128. Thu Nov 19 17:06:15 2020 start with 50047892 relations
  129. Thu Nov 19 17:07:56 2020 pruned 2175919 relations
  130. Thu Nov 19 17:07:56 2020 memory use: 1366.9 MB
  131. Thu Nov 19 17:07:56 2020 distribution of cycle lengths:
  132. Thu Nov 19 17:07:56 2020 1 relations: 302417
  133. Thu Nov 19 17:07:56 2020 2 relations: 399427
  134. Thu Nov 19 17:07:56 2020 3 relations: 472362
  135. Thu Nov 19 17:07:56 2020 4 relations: 505932
  136. Thu Nov 19 17:07:56 2020 5 relations: 533942
  137. Thu Nov 19 17:07:56 2020 6 relations: 530324
  138. Thu Nov 19 17:07:56 2020 7 relations: 517479
  139. Thu Nov 19 17:07:56 2020 8 relations: 480252
  140. Thu Nov 19 17:07:56 2020 9 relations: 437513
  141. Thu Nov 19 17:07:56 2020 10+ relations: 1962410
  142. Thu Nov 19 17:07:56 2020 heaviest cycle: 28 relations
  143. Thu Nov 19 17:08:10 2020 RelProcTime: 4830
  144. Thu Nov 19 17:08:10 2020 elapsed time 01:20:31
  145. Thu Nov 19 17:11:33 2020
  146. Thu Nov 19 17:11:33 2020
  147. Thu Nov 19 17:11:33 2020 Msieve v. 1.54 (SVN 1028)
  148. Thu Nov 19 17:11:33 2020 random seeds: 7119a39b 6742197d
  149. Thu Nov 19 17:11:33 2020 factoring 111812867780754346560415289999565367225454303594734581562227132753730403501180897472097054990558568023911409057075955845067437060818207472286533090719208303228335541944193280571602322588666038416993870470159838517777152295693 (225 digits)
  150. Thu Nov 19 17:11:34 2020 no P-1/P+1/ECM available, skipping
  151. Thu Nov 19 17:11:34 2020 commencing number field sieve (225-digit input)
  152. Thu Nov 19 17:11:34 2020 R0: 5444517870735015415413993718908291383296
  153. Thu Nov 19 17:11:34 2020 R1: -1
  154. Thu Nov 19 17:11:34 2020 A0: -2
  155. Thu Nov 19 17:11:34 2020 A1: 0
  156. Thu Nov 19 17:11:34 2020 A2: 0
  157. Thu Nov 19 17:11:34 2020 A3: 0
  158. Thu Nov 19 17:11:34 2020 A4: 0
  159. Thu Nov 19 17:11:34 2020 A5: 0
  160. Thu Nov 19 17:11:34 2020 A6: 5
  161. Thu Nov 19 17:11:34 2020 skew 0.87, size 6.132e-12, alpha 2.819, combined = 4.491e-13 rroots = 2
  162. Thu Nov 19 17:11:34 2020
  163. Thu Nov 19 17:11:34 2020 commencing linear algebra
  164. Thu Nov 19 17:11:35 2020 read 6142058 cycles
  165. Thu Nov 19 17:11:48 2020 cycles contain 20241207 unique relations
  166. Thu Nov 19 17:14:08 2020 read 20241207 relations
  167. Thu Nov 19 17:14:53 2020 using 20 quadratic characters above 4294917295
  168. Thu Nov 19 17:16:59 2020 building initial matrix
  169. Thu Nov 19 17:23:37 2020 memory use: 2602.2 MB
  170. Thu Nov 19 17:23:42 2020 read 6142058 cycles
  171. Thu Nov 19 17:23:43 2020 matrix is 6141881 x 6142058 (2653.0 MB) with weight 759915513 (123.72/col)
  172. Thu Nov 19 17:23:43 2020 sparse part has weight 634055325 (103.23/col)
  173. Thu Nov 19 17:25:33 2020 filtering completed in 2 passes
  174. Thu Nov 19 17:25:35 2020 matrix is 6141642 x 6141818 (2653.0 MB) with weight 759907009 (123.73/col)
  175. Thu Nov 19 17:25:35 2020 sparse part has weight 634051847 (103.24/col)
  176. Thu Nov 19 17:26:07 2020 matrix starts at (0, 0)
  177. Thu Nov 19 17:26:08 2020 matrix is 6141642 x 6141818 (2653.0 MB) with weight 759907009 (123.73/col)
  178. Thu Nov 19 17:26:08 2020 sparse part has weight 634051847 (103.24/col)
  179. Thu Nov 19 17:26:08 2020 saving the first 112 matrix rows for later
  180. Thu Nov 19 17:26:10 2020 matrix includes 128 packed rows
  181. Thu Nov 19 17:26:13 2020 matrix is 6141530 x 6141818 (2491.8 MB) with weight 608736946 (99.11/col)
  182. Thu Nov 19 17:26:13 2020 sparse part has weight 579509639 (94.35/col)
  183. Thu Nov 19 17:26:13 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
  184. Thu Nov 19 17:26:36 2020 commencing Lanczos iteration (3 threads)
  185. Thu Nov 19 17:26:36 2020 memory use: 2773.5 MB
  186. Thu Nov 19 17:27:45 2020 linear algebra at 0.0%, ETA 70h16m
  187. Thu Nov 19 17:28:07 2020 checkpointing every 90000 dimensions
  188. Thu Nov 19 21:43:15 2020 lanczos halted after 3686 iterations (dim = 469024)
  189. Thu Nov 19 21:43:15 2020 BLanczosTime: 16301
  190. Thu Nov 19 21:43:15 2020
  191. Thu Nov 19 21:43:15 2020 commencing square root phase
  192. Thu Nov 19 21:43:15 2020 reading relations for dependency 1
  193. Thu Nov 19 21:43:15 2020 error: read_cycles can't open dependency file
  194. Thu Nov 19 21:43:24 2020
  195. Thu Nov 19 21:43:24 2020
  196. Thu Nov 19 21:43:24 2020 Msieve v. 1.54 (SVN 1028)
  197. Thu Nov 19 21:43:24 2020 random seeds: 3ebb2dc2 a6cf16b8
  198. Thu Nov 19 21:43:24 2020 factoring 111812867780754346560415289999565367225454303594734581562227132753730403501180897472097054990558568023911409057075955845067437060818207472286533090719208303228335541944193280571602322588666038416993870470159838517777152295693 (225 digits)
  199. Thu Nov 19 21:43:25 2020 no P-1/P+1/ECM available, skipping
  200. Thu Nov 19 21:43:25 2020 commencing number field sieve (225-digit input)
  201. Thu Nov 19 21:43:25 2020 R0: 5444517870735015415413993718908291383296
  202. Thu Nov 19 21:43:25 2020 R1: -1
  203. Thu Nov 19 21:43:25 2020 A0: -2
  204. Thu Nov 19 21:43:25 2020 A1: 0
  205. Thu Nov 19 21:43:25 2020 A2: 0
  206. Thu Nov 19 21:43:25 2020 A3: 0
  207. Thu Nov 19 21:43:25 2020 A4: 0
  208. Thu Nov 19 21:43:25 2020 A5: 0
  209. Thu Nov 19 21:43:25 2020 A6: 5
  210. Thu Nov 19 21:43:25 2020 skew 0.87, size 6.132e-12, alpha 2.819, combined = 4.491e-13 rroots = 2
  211. Thu Nov 19 21:43:25 2020
  212. Thu Nov 19 21:43:25 2020 commencing linear algebra
  213. Thu Nov 19 21:43:33 2020 matrix starts at (0, 0)
  214. Thu Nov 19 21:43:34 2020 matrix is 6141642 x 6141818 (2653.0 MB) with weight 759907009 (123.73/col)
  215. Thu Nov 19 21:43:34 2020 sparse part has weight 634051847 (103.24/col)
  216. Thu Nov 19 21:43:34 2020 saving the first 112 matrix rows for later
  217. Thu Nov 19 21:43:35 2020 matrix includes 128 packed rows
  218. Thu Nov 19 21:43:37 2020 matrix is 6141530 x 6141818 (2491.8 MB) with weight 608736946 (99.11/col)
  219. Thu Nov 19 21:43:37 2020 sparse part has weight 579509639 (94.35/col)
  220. Thu Nov 19 21:43:37 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
  221. Thu Nov 19 21:43:53 2020 commencing Lanczos iteration (10 threads)
  222. Thu Nov 19 21:43:53 2020 memory use: 2773.8 MB
  223. Thu Nov 19 21:43:54 2020 restarting at iteration 3686 (dim = 469024)
  224. Thu Nov 19 21:44:00 2020 checkpointing every 620000 dimensions
  225. Thu Nov 19 21:44:04 2020 linear algebra at 7.7%, ETA 10h19m
  226. Fri Nov 20 09:59:16 2020 lanczos halted after 48270 iterations (dim = 6141530)
  227. Fri Nov 20 09:59:27 2020 recovered 39 nontrivial dependencies
  228. Fri Nov 20 09:59:27 2020 BLanczosTime: 44162
  229. Fri Nov 20 09:59:27 2020
  230. Fri Nov 20 09:59:27 2020 commencing square root phase
  231. Fri Nov 20 09:59:27 2020 reading relations for dependency 1
  232. Fri Nov 20 09:59:28 2020 read 3069459 cycles
  233. Fri Nov 20 09:59:33 2020 cycles contain 10114614 unique relations
  234. Fri Nov 20 10:00:53 2020 read 10114614 relations
  235. Fri Nov 20 10:01:40 2020 multiplying 10114614 relations
  236. Fri Nov 20 10:12:08 2020 multiply complete, coefficients have about 278.09 million bits
  237. Fri Nov 20 10:12:10 2020 initial square root is modulo 97687
  238. Fri Nov 20 10:20:57 2020 found factor: 151880995471420485563260391583287247457005251131509944599
  239. Fri Nov 20 10:20:57 2020 reading relations for dependency 2
  240. Fri Nov 20 10:20:58 2020 read 3072031 cycles
  241. Fri Nov 20 10:21:04 2020 cycles contain 10124158 unique relations
  242. Fri Nov 20 10:22:21 2020 read 10124158 relations
  243. Fri Nov 20 10:23:06 2020 multiplying 10124158 relations
  244. Fri Nov 20 10:34:07 2020 multiply complete, coefficients have about 278.35 million bits
  245. Fri Nov 20 10:34:09 2020 initial square root is modulo 98899
  246. Fri Nov 20 10:42:26 2020 sqrtTime: 2579
  247. Fri Nov 20 10:42:26 2020 p57 factor: 151880995471420485563260391583287247457005251131509944599
  248. Fri Nov 20 10:42:26 2020 p67 factor: 5080420584742637766232124038334332110925922349448403765063448735173
  249. Fri Nov 20 10:42:26 2020 p102 factor: 144906772795320153308270539610867131801288246035066449539969694523816327427690090512592143476246788159
  250. Fri Nov 20 10:42:26 2020 elapsed time 12:59:02
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