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Jan 28th, 2022
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  1. Fri Jan 21 10:48:42 2022
  2. Fri Jan 21 10:48:42 2022
  3. Fri Jan 21 10:48:42 2022 Msieve v. 1.53 (SVN unknown)
  4. Fri Jan 21 10:48:42 2022 random seeds: ed06d740 d4e71d0f
  5. Fri Jan 21 10:48:42 2022 factoring 1596590736225855120084456778110210795544304227625031819741691244099950760163348488135393985554381967111610031341946813498660348293913580570138323257089485209438893310506314905133131989982454570419945681870081 (208 digits)
  6. Fri Jan 21 10:48:44 2022 searching for 15-digit factors
  7. Fri Jan 21 10:48:45 2022 commencing number field sieve (208-digit input)
  8. Fri Jan 21 10:48:45 2022 R0: 14697715679690864505827555550150426126974976
  9. Fri Jan 21 10:48:45 2022 R1: -9094947017729282379150390625
  10. Fri Jan 21 10:48:45 2022 A0: 1
  11. Fri Jan 21 10:48:45 2022 A1: -1
  12. Fri Jan 21 10:48:45 2022 A2: 1
  13. Fri Jan 21 10:48:45 2022 A3: -1
  14. Fri Jan 21 10:48:45 2022 A4: 1
  15. Fri Jan 21 10:48:45 2022 A5: -1
  16. Fri Jan 21 10:48:45 2022 A6: 1
  17. Fri Jan 21 10:48:45 2022 skew 1.00, size 9.024e-13, alpha 2.428, combined = 1.070e-13 rroots = 0
  18. Fri Jan 21 10:48:45 2022
  19. Fri Jan 21 10:48:45 2022 commencing relation filtering
  20. Fri Jan 21 10:48:45 2022 setting target matrix density to 120.0
  21. Fri Jan 21 10:48:45 2022 estimated available RAM is 32721.3 MB
  22. Fri Jan 21 10:48:45 2022 commencing duplicate removal, pass 1
  23. Fri Jan 21 10:52:20 2022 error -9 reading relation 14784809
  24. Fri Jan 21 10:52:32 2022 error -9 reading relation 15638555
  25. Fri Jan 21 10:52:32 2022 error -15 reading relation 15674333
  26. Fri Jan 21 10:52:44 2022 error -1 reading relation 16454733
  27. Fri Jan 21 10:52:44 2022 error -1 reading relation 16508052
  28. Fri Jan 21 10:52:46 2022 error -9 reading relation 16602493
  29. Fri Jan 21 11:48:48 2022 error -15 reading relation 252535577
  30. Fri Jan 21 11:49:38 2022 error -9 reading relation 256126832
  31. Fri Jan 21 11:49:38 2022 error -15 reading relation 256134438
  32. Fri Jan 21 11:50:04 2022 error -15 reading relation 258026023
  33. Fri Jan 21 11:50:09 2022 error -5 reading relation 258371303
  34. Fri Jan 21 11:50:10 2022 skipped 809 relations with b > 2^32
  35. Fri Jan 21 11:50:10 2022 skipped 69 relations with composite factors
  36. Fri Jan 21 11:50:10 2022 found 46735828 hash collisions in 258465970 relations
  37. Fri Jan 21 11:50:24 2022 added 2438534 free relations
  38. Fri Jan 21 11:50:24 2022 commencing duplicate removal, pass 2
  39. Fri Jan 21 11:55:10 2022 found 43083095 duplicates and 217821409 unique relations
  40. Fri Jan 21 11:55:10 2022 memory use: 1321.5 MB
  41. Fri Jan 21 11:55:11 2022 reading ideals above 174915584
  42. Fri Jan 21 11:55:11 2022 commencing singleton removal, initial pass
  43. Fri Jan 21 12:33:13 2022 memory use: 5512.0 MB
  44. Fri Jan 21 12:33:13 2022 reading all ideals from disk
  45. Fri Jan 21 12:33:15 2022 memory use: 3868.5 MB
  46. Fri Jan 21 12:33:25 2022 commencing in-memory singleton removal
  47. Fri Jan 21 12:33:33 2022 begin with 217821409 relations and 166972074 unique ideals
  48. Fri Jan 21 12:35:22 2022 reduce to 163447981 relations and 108488573 ideals in 14 passes
  49. Fri Jan 21 12:35:22 2022 max relations containing the same ideal: 48
  50. Fri Jan 21 12:35:36 2022 reading ideals above 720000
  51. Fri Jan 21 12:35:37 2022 commencing singleton removal, initial pass
  52. Fri Jan 21 13:09:35 2022 memory use: 3012.0 MB
  53. Fri Jan 21 13:09:35 2022 reading all ideals from disk
  54. Fri Jan 21 13:09:47 2022 memory use: 6744.6 MB
  55. Fri Jan 21 13:10:10 2022 keeping 127164186 ideals with weight <= 200, target excess is 849748
  56. Fri Jan 21 13:10:34 2022 commencing in-memory singleton removal
  57. Fri Jan 21 13:10:53 2022 begin with 163447981 relations and 127164186 unique ideals
  58. Fri Jan 21 13:12:05 2022 reduce to 163447904 relations and 127164109 ideals in 4 passes
  59. Fri Jan 21 13:12:05 2022 max relations containing the same ideal: 200
  60. Fri Jan 21 13:13:26 2022 removing 9846828 relations and 7846828 ideals in 2000000 cliques
  61. Fri Jan 21 13:13:31 2022 commencing in-memory singleton removal
  62. Fri Jan 21 13:13:48 2022 begin with 153601076 relations and 127164109 unique ideals
  63. Fri Jan 21 13:15:47 2022 reduce to 153108401 relations and 118816685 ideals in 7 passes
  64. Fri Jan 21 13:15:47 2022 max relations containing the same ideal: 199
  65. Fri Jan 21 13:17:05 2022 removing 7620093 relations and 5620093 ideals in 2000000 cliques
  66. Fri Jan 21 13:17:08 2022 commencing in-memory singleton removal
  67. Fri Jan 21 13:17:24 2022 begin with 145488308 relations and 118816685 unique ideals
  68. Fri Jan 21 13:19:33 2022 reduce to 145157699 relations and 112861376 ideals in 8 passes
  69. Fri Jan 21 13:19:33 2022 max relations containing the same ideal: 193
  70. Fri Jan 21 13:20:47 2022 removing 6967800 relations and 4967800 ideals in 2000000 cliques
  71. Fri Jan 21 13:20:50 2022 commencing in-memory singleton removal
  72. Fri Jan 21 13:21:05 2022 begin with 138189899 relations and 112861376 unique ideals
  73. Fri Jan 21 13:22:51 2022 reduce to 137900462 relations and 107600129 ideals in 7 passes
  74. Fri Jan 21 13:22:51 2022 max relations containing the same ideal: 189
  75. Fri Jan 21 13:24:02 2022 removing 6636585 relations and 4636585 ideals in 2000000 cliques
  76. Fri Jan 21 13:24:05 2022 commencing in-memory singleton removal
  77. Fri Jan 21 13:24:19 2022 begin with 131263877 relations and 107600129 unique ideals
  78. Fri Jan 21 13:25:59 2022 reduce to 130993692 relations and 102689532 ideals in 7 passes
  79. Fri Jan 21 13:25:59 2022 max relations containing the same ideal: 185
  80. Fri Jan 21 13:27:06 2022 removing 6430164 relations and 4430164 ideals in 2000000 cliques
  81. Fri Jan 21 13:27:09 2022 commencing in-memory singleton removal
  82. Fri Jan 21 13:27:22 2022 begin with 124563528 relations and 102689532 unique ideals
  83. Fri Jan 21 13:28:57 2022 reduce to 124303508 relations and 97995544 ideals in 7 passes
  84. Fri Jan 21 13:28:57 2022 max relations containing the same ideal: 181
  85. Fri Jan 21 13:30:01 2022 removing 6293303 relations and 4293303 ideals in 2000000 cliques
  86. Fri Jan 21 13:30:03 2022 commencing in-memory singleton removal
  87. Fri Jan 21 13:30:16 2022 begin with 118010205 relations and 97995544 unique ideals
  88. Fri Jan 21 13:31:45 2022 reduce to 117754634 relations and 93442832 ideals in 7 passes
  89. Fri Jan 21 13:31:45 2022 max relations containing the same ideal: 170
  90. Fri Jan 21 13:32:46 2022 removing 6196844 relations and 4196844 ideals in 2000000 cliques
  91. Fri Jan 21 13:32:49 2022 commencing in-memory singleton removal
  92. Fri Jan 21 13:33:00 2022 begin with 111557790 relations and 93442832 unique ideals
  93. Fri Jan 21 13:34:13 2022 reduce to 111301298 relations and 88985423 ideals in 6 passes
  94. Fri Jan 21 13:34:13 2022 max relations containing the same ideal: 167
  95. Fri Jan 21 13:35:10 2022 removing 6128722 relations and 4128722 ideals in 2000000 cliques
  96. Fri Jan 21 13:35:13 2022 commencing in-memory singleton removal
  97. Fri Jan 21 13:35:24 2022 begin with 105172576 relations and 88985423 unique ideals
  98. Fri Jan 21 13:36:31 2022 reduce to 104912789 relations and 84592548 ideals in 6 passes
  99. Fri Jan 21 13:36:31 2022 max relations containing the same ideal: 160
  100. Fri Jan 21 13:37:26 2022 removing 6084760 relations and 4084760 ideals in 2000000 cliques
  101. Fri Jan 21 13:37:29 2022 commencing in-memory singleton removal
  102. Fri Jan 21 13:37:39 2022 begin with 98828029 relations and 84592548 unique ideals
  103. Fri Jan 21 13:38:42 2022 reduce to 98561162 relations and 80236418 ideals in 6 passes
  104. Fri Jan 21 13:38:42 2022 max relations containing the same ideal: 156
  105. Fri Jan 21 13:39:33 2022 removing 6055265 relations and 4055265 ideals in 2000000 cliques
  106. Fri Jan 21 13:39:36 2022 commencing in-memory singleton removal
  107. Fri Jan 21 13:39:45 2022 begin with 92505897 relations and 80236418 unique ideals
  108. Fri Jan 21 13:40:53 2022 reduce to 92228662 relations and 75898752 ideals in 7 passes
  109. Fri Jan 21 13:40:53 2022 max relations containing the same ideal: 151
  110. Fri Jan 21 13:41:41 2022 removing 6041021 relations and 4041021 ideals in 2000000 cliques
  111. Fri Jan 21 13:41:44 2022 commencing in-memory singleton removal
  112. Fri Jan 21 13:41:52 2022 begin with 86187641 relations and 75898752 unique ideals
  113. Fri Jan 21 13:42:55 2022 reduce to 85896829 relations and 71561203 ideals in 7 passes
  114. Fri Jan 21 13:42:55 2022 max relations containing the same ideal: 144
  115. Fri Jan 21 13:43:41 2022 removing 6041633 relations and 4041633 ideals in 2000000 cliques
  116. Fri Jan 21 13:43:43 2022 commencing in-memory singleton removal
  117. Fri Jan 21 13:43:51 2022 begin with 79855196 relations and 71561203 unique ideals
  118. Fri Jan 21 13:44:41 2022 reduce to 79546852 relations and 67204917 ideals in 6 passes
  119. Fri Jan 21 13:44:41 2022 max relations containing the same ideal: 134
  120. Fri Jan 21 13:45:23 2022 removing 6054333 relations and 4054333 ideals in 2000000 cliques
  121. Fri Jan 21 13:45:25 2022 commencing in-memory singleton removal
  122. Fri Jan 21 13:45:33 2022 begin with 73492519 relations and 67204917 unique ideals
  123. Fri Jan 21 13:46:26 2022 reduce to 73161002 relations and 62811817 ideals in 7 passes
  124. Fri Jan 21 13:46:26 2022 max relations containing the same ideal: 128
  125. Fri Jan 21 13:47:04 2022 removing 6081677 relations and 4081677 ideals in 2000000 cliques
  126. Fri Jan 21 13:47:06 2022 commencing in-memory singleton removal
  127. Fri Jan 21 13:47:13 2022 begin with 67079325 relations and 62811817 unique ideals
  128. Fri Jan 21 13:47:54 2022 reduce to 66720191 relations and 58362275 ideals in 6 passes
  129. Fri Jan 21 13:47:54 2022 max relations containing the same ideal: 120
  130. Fri Jan 21 13:48:30 2022 removing 6117371 relations and 4117371 ideals in 2000000 cliques
  131. Fri Jan 21 13:48:32 2022 commencing in-memory singleton removal
  132. Fri Jan 21 13:48:38 2022 begin with 60602820 relations and 58362275 unique ideals
  133. Fri Jan 21 13:49:27 2022 reduce to 60203928 relations and 53835562 ideals in 8 passes
  134. Fri Jan 21 13:49:27 2022 max relations containing the same ideal: 110
  135. Fri Jan 21 13:50:00 2022 removing 6174526 relations and 4174526 ideals in 2000000 cliques
  136. Fri Jan 21 13:50:02 2022 commencing in-memory singleton removal
  137. Fri Jan 21 13:50:07 2022 begin with 54029402 relations and 53835562 unique ideals
  138. Fri Jan 21 13:50:44 2022 reduce to 53579165 relations and 49197898 ideals in 7 passes
  139. Fri Jan 21 13:50:44 2022 max relations containing the same ideal: 100
  140. Fri Jan 21 13:51:13 2022 removing 6247539 relations and 4247539 ideals in 2000000 cliques
  141. Fri Jan 21 13:51:15 2022 commencing in-memory singleton removal
  142. Fri Jan 21 13:51:20 2022 begin with 47331626 relations and 49197898 unique ideals
  143. Fri Jan 21 13:52:02 2022 reduce to 46809054 relations and 44411282 ideals in 9 passes
  144. Fri Jan 21 13:52:02 2022 max relations containing the same ideal: 94
  145. Fri Jan 21 13:52:28 2022 removing 4765797 relations and 3353733 ideals in 1412064 cliques
  146. Fri Jan 21 13:52:29 2022 commencing in-memory singleton removal
  147. Fri Jan 21 13:52:33 2022 begin with 42043257 relations and 44411282 unique ideals
  148. Fri Jan 21 13:53:02 2022 reduce to 41681671 relations and 40686330 ideals in 7 passes
  149. Fri Jan 21 13:53:02 2022 max relations containing the same ideal: 88
  150. Fri Jan 21 13:53:25 2022 removing 66478 relations and 56845 ideals in 9633 cliques
  151. Fri Jan 21 13:53:26 2022 commencing in-memory singleton removal
  152. Fri Jan 21 13:53:30 2022 begin with 41615193 relations and 40686330 unique ideals
  153. Fri Jan 21 13:53:46 2022 reduce to 41615114 relations and 40629406 ideals in 4 passes
  154. Fri Jan 21 13:53:46 2022 max relations containing the same ideal: 88
  155. Fri Jan 21 13:53:56 2022 relations with 0 large ideals: 64539
  156. Fri Jan 21 13:53:56 2022 relations with 1 large ideals: 9635
  157. Fri Jan 21 13:53:56 2022 relations with 2 large ideals: 115851
  158. Fri Jan 21 13:53:56 2022 relations with 3 large ideals: 808459
  159. Fri Jan 21 13:53:56 2022 relations with 4 large ideals: 3108524
  160. Fri Jan 21 13:53:56 2022 relations with 5 large ideals: 7184308
  161. Fri Jan 21 13:53:56 2022 relations with 6 large ideals: 10495482
  162. Fri Jan 21 13:53:56 2022 relations with 7+ large ideals: 19828316
  163. Fri Jan 21 13:53:56 2022 commencing 2-way merge
  164. Fri Jan 21 13:54:26 2022 reduce to 28356800 relation sets and 27371092 unique ideals
  165. Fri Jan 21 13:54:26 2022 commencing full merge
  166. Fri Jan 21 14:10:30 2022 memory use: 3907.3 MB
  167. Fri Jan 21 14:10:34 2022 found 12941991 cycles, need 12913292
  168. Fri Jan 21 14:10:35 2022 weight of 12913292 cycles is about 1550180736 (120.05/cycle)
  169. Fri Jan 21 14:10:35 2022 distribution of cycle lengths:
  170. Fri Jan 21 14:10:35 2022 1 relations: 571400
  171. Fri Jan 21 14:10:35 2022 2 relations: 781322
  172. Fri Jan 21 14:10:35 2022 3 relations: 907341
  173. Fri Jan 21 14:10:35 2022 4 relations: 936906
  174. Fri Jan 21 14:10:35 2022 5 relations: 956578
  175. Fri Jan 21 14:10:35 2022 6 relations: 948938
  176. Fri Jan 21 14:10:35 2022 7 relations: 929933
  177. Fri Jan 21 14:10:35 2022 8 relations: 889482
  178. Fri Jan 21 14:10:35 2022 9 relations: 834439
  179. Fri Jan 21 14:10:35 2022 10+ relations: 5156953
  180. Fri Jan 21 14:10:35 2022 heaviest cycle: 28 relations
  181. Fri Jan 21 14:10:38 2022 commencing cycle optimization
  182. Fri Jan 21 14:11:04 2022 start with 114793991 relations
  183. Fri Jan 21 14:17:43 2022 pruned 5827469 relations
  184. Fri Jan 21 14:17:43 2022 memory use: 2915.5 MB
  185. Fri Jan 21 14:17:43 2022 distribution of cycle lengths:
  186. Fri Jan 21 14:17:43 2022 1 relations: 571400
  187. Fri Jan 21 14:17:43 2022 2 relations: 798920
  188. Fri Jan 21 14:17:43 2022 3 relations: 944474
  189. Fri Jan 21 14:17:43 2022 4 relations: 976743
  190. Fri Jan 21 14:17:43 2022 5 relations: 1008451
  191. Fri Jan 21 14:17:43 2022 6 relations: 999965
  192. Fri Jan 21 14:17:43 2022 7 relations: 984186
  193. Fri Jan 21 14:17:43 2022 8 relations: 938544
  194. Fri Jan 21 14:17:43 2022 9 relations: 880999
  195. Fri Jan 21 14:17:43 2022 10+ relations: 4809610
  196. Fri Jan 21 14:17:43 2022 heaviest cycle: 28 relations
  197. Fri Jan 21 14:18:19 2022 RelProcTime: 12574
  198. Fri Jan 21 14:18:19 2022
  199. Fri Jan 21 14:18:19 2022 commencing linear algebra
  200. Fri Jan 21 14:18:22 2022 read 12913292 cycles
  201. Fri Jan 21 14:18:54 2022 cycles contain 41136457 unique relations
  202. Fri Jan 21 14:26:34 2022 read 41136457 relations
  203. Fri Jan 21 14:28:27 2022 using 20 quadratic characters above 4294917295
  204. Fri Jan 21 14:31:17 2022 building initial matrix
  205. Fri Jan 21 14:41:40 2022 memory use: 5241.9 MB
  206. Fri Jan 21 14:41:51 2022 read 12913292 cycles
  207. Fri Jan 21 14:41:55 2022 matrix is 12913115 x 12913292 (6049.2 MB) with weight 1714370287 (132.76/col)
  208. Fri Jan 21 14:41:55 2022 sparse part has weight 1443716010 (111.80/col)
  209. Fri Jan 21 14:45:29 2022 filtering completed in 2 passes
  210. Fri Jan 21 14:45:33 2022 matrix is 12912965 x 12913142 (6049.2 MB) with weight 1714365068 (132.76/col)
  211. Fri Jan 21 14:45:33 2022 sparse part has weight 1443714169 (111.80/col)
  212. Fri Jan 21 14:46:36 2022 matrix starts at (0, 0)
  213. Fri Jan 21 14:46:40 2022 matrix is 12912965 x 12913142 (6049.2 MB) with weight 1714365068 (132.76/col)
  214. Fri Jan 21 14:46:40 2022 sparse part has weight 1443714169 (111.80/col)
  215. Fri Jan 21 14:46:40 2022 saving the first 48 matrix rows for later
  216. Fri Jan 21 14:46:44 2022 matrix includes 64 packed rows
  217. Fri Jan 21 14:46:46 2022 matrix is 12912917 x 12913142 (5800.6 MB) with weight 1483641659 (114.89/col)
  218. Fri Jan 21 14:46:46 2022 sparse part has weight 1391462272 (107.76/col)
  219. Fri Jan 21 14:46:46 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  220. Fri Jan 21 14:48:18 2022 commencing Lanczos iteration (6 threads)
  221. Fri Jan 21 14:48:18 2022 memory use: 4982.3 MB
  222. Fri Jan 21 14:49:31 2022 linear algebra at 0.0%, ETA 165h29m
  223. Fri Jan 21 14:49:55 2022 checkpointing every 80000 dimensions
  224. Fri Jan 28 15:18:05 2022 lanczos halted after 204214 iterations (dim = 12912912)
  225. Fri Jan 28 15:18:41 2022 recovered 36 nontrivial dependencies
  226. Fri Jan 28 15:18:57 2022 BLanczosTime: 608438
  227. Fri Jan 28 15:18:57 2022
  228. Fri Jan 28 15:18:57 2022 commencing square root phase
  229. Fri Jan 28 15:18:57 2022 handling dependencies 1 to 64
  230. Fri Jan 28 15:18:57 2022 reading relations for dependency 1
  231. Fri Jan 28 15:19:01 2022 read 6458634 cycles
  232. Fri Jan 28 15:19:18 2022 cycles contain 20575606 unique relations
  233. Fri Jan 28 15:24:13 2022 read 20575606 relations
  234. Fri Jan 28 15:26:02 2022 multiplying 20575606 relations
  235. Fri Jan 28 15:41:29 2022 multiply complete, coefficients have about 536.30 million bits
  236. Fri Jan 28 15:41:34 2022 initial square root is modulo 64811
  237. Fri Jan 28 15:59:19 2022 GCD is N, no factor found
  238. Fri Jan 28 15:59:19 2022 reading relations for dependency 2
  239. Fri Jan 28 15:59:21 2022 read 6456582 cycles
  240. Fri Jan 28 15:59:37 2022 cycles contain 20571958 unique relations
  241. Fri Jan 28 16:04:21 2022 read 20571958 relations
  242. Fri Jan 28 16:06:10 2022 multiplying 20571958 relations
  243. Fri Jan 28 16:21:59 2022 multiply complete, coefficients have about 536.20 million bits
  244. Fri Jan 28 16:22:05 2022 initial square root is modulo 64781
  245. Fri Jan 28 16:40:25 2022 sqrtTime: 4888
  246. Fri Jan 28 16:40:25 2022 p63 factor: 880434094931502894008812802191199980965130318200907814421217921
  247. Fri Jan 28 16:40:25 2022 p145 factor: 1813413116799013412300494711553284806902180872946674853268217706793155846975106013084691850338827196148958226663580362772248618346361034626488961
  248. Fri Jan 28 16:40:25 2022 elapsed time 173:51:43
  249.  
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