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  1. Sun Nov 6 07:19:36 2022
  2. Sun Nov 6 07:19:36 2022
  3. Sun Nov 6 07:19:36 2022 Msieve v. 1.53 (SVN unknown)
  4. Sun Nov 6 07:19:36 2022 random seeds: d4371570 0bea7aab
  5. Sun Nov 6 07:19:36 2022 factoring 12096980331014496365358182069248344407210906921839390227013966648712357094547696045695604955467833909506760837671461664264663900767533640785434239523619928258751981844935984857142920892712973595366530144581895316404463716741157813 (230 digits)
  6. Sun Nov 6 07:19:38 2022 searching for 15-digit factors
  7. Sun Nov 6 07:19:39 2022 commencing number field sieve (230-digit input)
  8. Sun Nov 6 07:19:39 2022 R0: 88124787089723195184393736687912818113311201
  9. Sun Nov 6 07:19:39 2022 R1: -20282409603651670423947251286016
  10. Sun Nov 6 07:19:39 2022 A0: 16
  11. Sun Nov 6 07:19:39 2022 A1: 0
  12. Sun Nov 6 07:19:39 2022 A2: 0
  13. Sun Nov 6 07:19:39 2022 A3: 0
  14. Sun Nov 6 07:19:39 2022 A4: 0
  15. Sun Nov 6 07:19:39 2022 A5: 0
  16. Sun Nov 6 07:19:39 2022 A6: 49
  17. Sun Nov 6 07:19:39 2022 skew 0.83, size 4.561e-13, alpha -0.331, combined = 6.462e-14 rroots = 0
  18. Sun Nov 6 07:19:39 2022
  19. Sun Nov 6 07:19:39 2022 commencing relation filtering
  20. Sun Nov 6 07:19:39 2022 setting target matrix density to 120.0
  21. Sun Nov 6 07:19:39 2022 estimated available RAM is 32721.3 MB
  22. Sun Nov 6 07:19:39 2022 commencing duplicate removal, pass 1
  23. Sun Nov 6 07:23:24 2022 error -1 reading relation 16557789
  24. Sun Nov 6 07:26:38 2022 error -9 reading relation 30796404
  25. Sun Nov 6 07:26:40 2022 error -9 reading relation 30942455
  26. Sun Nov 6 09:02:54 2022 error -1 reading relation 453127323
  27. Sun Nov 6 09:03:08 2022 error -9 reading relation 454198628
  28. Sun Nov 6 09:03:08 2022 error -9 reading relation 454201550
  29. Sun Nov 6 09:03:08 2022 error -15 reading relation 454202117
  30. Sun Nov 6 09:03:09 2022 error -15 reading relation 454258768
  31. Sun Nov 6 09:03:10 2022 error -1 reading relation 454279403
  32. Sun Nov 6 09:03:26 2022 skipped 1923 relations with b > 2^32
  33. Sun Nov 6 09:03:26 2022 skipped 115 relations with composite factors
  34. Sun Nov 6 09:03:26 2022 found 99926962 hash collisions in 455457261 relations
  35. Sun Nov 6 09:03:55 2022 added 1218659 free relations
  36. Sun Nov 6 09:03:55 2022 commencing duplicate removal, pass 2
  37. Sun Nov 6 09:12:35 2022 found 92988699 duplicates and 363687221 unique relations
  38. Sun Nov 6 09:12:35 2022 memory use: 2387.0 MB
  39. Sun Nov 6 09:12:35 2022 reading ideals above 189988864
  40. Sun Nov 6 09:12:35 2022 commencing singleton removal, initial pass
  41. Sun Nov 6 10:13:49 2022 memory use: 6024.0 MB
  42. Sun Nov 6 10:13:49 2022 reading all ideals from disk
  43. Sun Nov 6 10:14:37 2022 memory use: 6818.7 MB
  44. Sun Nov 6 10:14:56 2022 commencing in-memory singleton removal
  45. Sun Nov 6 10:15:14 2022 begin with 363687221 relations and 318482841 unique ideals
  46. Sun Nov 6 10:18:21 2022 reduce to 229801940 relations and 170391188 ideals in 14 passes
  47. Sun Nov 6 10:18:21 2022 max relations containing the same ideal: 32
  48. Sun Nov 6 10:18:44 2022 reading ideals above 720000
  49. Sun Nov 6 10:18:45 2022 commencing singleton removal, initial pass
  50. Sun Nov 6 11:07:31 2022 memory use: 5512.0 MB
  51. Sun Nov 6 11:07:31 2022 reading all ideals from disk
  52. Sun Nov 6 11:08:54 2022 memory use: 9587.6 MB
  53. Sun Nov 6 11:09:31 2022 keeping 190318368 ideals with weight <= 200, target excess is 1179520
  54. Sun Nov 6 11:10:06 2022 commencing in-memory singleton removal
  55. Sun Nov 6 11:10:31 2022 begin with 229801940 relations and 190318368 unique ideals
  56. Sun Nov 6 11:12:33 2022 reduce to 229801576 relations and 190318004 ideals in 5 passes
  57. Sun Nov 6 11:12:33 2022 max relations containing the same ideal: 200
  58. Sun Nov 6 11:14:35 2022 removing 13860319 relations and 11860319 ideals in 2000000 cliques
  59. Sun Nov 6 11:14:40 2022 commencing in-memory singleton removal
  60. Sun Nov 6 11:15:05 2022 begin with 215941257 relations and 190318004 unique ideals
  61. Sun Nov 6 11:18:15 2022 reduce to 215276692 relations and 177784952 ideals in 8 passes
  62. Sun Nov 6 11:18:15 2022 max relations containing the same ideal: 199
  63. Sun Nov 6 11:20:08 2022 removing 10404232 relations and 8404232 ideals in 2000000 cliques
  64. Sun Nov 6 11:20:13 2022 commencing in-memory singleton removal
  65. Sun Nov 6 11:20:34 2022 begin with 204872460 relations and 177784952 unique ideals
  66. Sun Nov 6 11:23:11 2022 reduce to 204454136 relations and 168958020 ideals in 7 passes
  67. Sun Nov 6 11:23:11 2022 max relations containing the same ideal: 194
  68. Sun Nov 6 11:24:59 2022 removing 9323989 relations and 7323989 ideals in 2000000 cliques
  69. Sun Nov 6 11:25:03 2022 commencing in-memory singleton removal
  70. Sun Nov 6 11:25:23 2022 begin with 195130147 relations and 168958020 unique ideals
  71. Sun Nov 6 11:28:32 2022 reduce to 194774316 relations and 161274712 ideals in 9 passes
  72. Sun Nov 6 11:28:32 2022 max relations containing the same ideal: 190
  73. Sun Nov 6 11:30:15 2022 removing 8741868 relations and 6741868 ideals in 2000000 cliques
  74. Sun Nov 6 11:30:20 2022 commencing in-memory singleton removal
  75. Sun Nov 6 11:30:39 2022 begin with 186032448 relations and 161274712 unique ideals
  76. Sun Nov 6 11:33:18 2022 reduce to 185702295 relations and 154199333 ideals in 8 passes
  77. Sun Nov 6 11:33:18 2022 max relations containing the same ideal: 185
  78. Sun Nov 6 11:34:57 2022 removing 8367669 relations and 6367669 ideals in 2000000 cliques
  79. Sun Nov 6 11:35:01 2022 commencing in-memory singleton removal
  80. Sun Nov 6 11:35:19 2022 begin with 177334626 relations and 154199333 unique ideals
  81. Sun Nov 6 11:38:08 2022 reduce to 177019464 relations and 147513367 ideals in 9 passes
  82. Sun Nov 6 11:38:08 2022 max relations containing the same ideal: 180
  83. Sun Nov 6 11:39:42 2022 removing 8101709 relations and 6101709 ideals in 2000000 cliques
  84. Sun Nov 6 11:39:46 2022 commencing in-memory singleton removal
  85. Sun Nov 6 11:40:05 2022 begin with 168917755 relations and 147513367 unique ideals
  86. Sun Nov 6 11:42:11 2022 reduce to 168608644 relations and 141099321 ideals in 7 passes
  87. Sun Nov 6 11:42:11 2022 max relations containing the same ideal: 175
  88. Sun Nov 6 11:43:40 2022 removing 7913662 relations and 5913662 ideals in 2000000 cliques
  89. Sun Nov 6 11:43:44 2022 commencing in-memory singleton removal
  90. Sun Nov 6 11:44:00 2022 begin with 160694982 relations and 141099321 unique ideals
  91. Sun Nov 6 11:45:59 2022 reduce to 160387741 relations and 134874991 ideals in 7 passes
  92. Sun Nov 6 11:45:59 2022 max relations containing the same ideal: 168
  93. Sun Nov 6 11:47:24 2022 removing 7772184 relations and 5772184 ideals in 2000000 cliques
  94. Sun Nov 6 11:47:28 2022 commencing in-memory singleton removal
  95. Sun Nov 6 11:47:44 2022 begin with 152615557 relations and 134874991 unique ideals
  96. Sun Nov 6 11:49:36 2022 reduce to 152306590 relations and 128790298 ideals in 7 passes
  97. Sun Nov 6 11:49:36 2022 max relations containing the same ideal: 165
  98. Sun Nov 6 11:50:57 2022 removing 7672018 relations and 5672018 ideals in 2000000 cliques
  99. Sun Nov 6 11:51:01 2022 commencing in-memory singleton removal
  100. Sun Nov 6 11:51:16 2022 begin with 144634572 relations and 128790298 unique ideals
  101. Sun Nov 6 11:53:00 2022 reduce to 144319331 relations and 122799271 ideals in 7 passes
  102. Sun Nov 6 11:53:00 2022 max relations containing the same ideal: 159
  103. Sun Nov 6 11:54:24 2022 removing 7596785 relations and 5596785 ideals in 2000000 cliques
  104. Sun Nov 6 11:54:27 2022 commencing in-memory singleton removal
  105. Sun Nov 6 11:54:41 2022 begin with 136722546 relations and 122799271 unique ideals
  106. Sun Nov 6 11:56:33 2022 reduce to 136400989 relations and 116876855 ideals in 8 passes
  107. Sun Nov 6 11:56:33 2022 max relations containing the same ideal: 154
  108. Sun Nov 6 11:57:46 2022 removing 7550705 relations and 5550705 ideals in 2000000 cliques
  109. Sun Nov 6 11:57:50 2022 commencing in-memory singleton removal
  110. Sun Nov 6 11:58:03 2022 begin with 128850284 relations and 116876855 unique ideals
  111. Sun Nov 6 11:59:35 2022 reduce to 128515656 relations and 110987131 ideals in 7 passes
  112. Sun Nov 6 11:59:35 2022 max relations containing the same ideal: 147
  113. Sun Nov 6 12:00:44 2022 removing 7519174 relations and 5519174 ideals in 2000000 cliques
  114. Sun Nov 6 12:00:47 2022 commencing in-memory singleton removal
  115. Sun Nov 6 12:00:59 2022 begin with 120996482 relations and 110987131 unique ideals
  116. Sun Nov 6 12:02:25 2022 reduce to 120647062 relations and 105113743 ideals in 7 passes
  117. Sun Nov 6 12:02:25 2022 max relations containing the same ideal: 143
  118. Sun Nov 6 12:03:31 2022 removing 7514670 relations and 5514670 ideals in 2000000 cliques
  119. Sun Nov 6 12:03:34 2022 commencing in-memory singleton removal
  120. Sun Nov 6 12:03:45 2022 begin with 113132392 relations and 105113743 unique ideals
  121. Sun Nov 6 12:05:16 2022 reduce to 112762910 relations and 99224146 ideals in 8 passes
  122. Sun Nov 6 12:05:16 2022 max relations containing the same ideal: 139
  123. Sun Nov 6 12:06:17 2022 removing 7518173 relations and 5518173 ideals in 2000000 cliques
  124. Sun Nov 6 12:06:20 2022 commencing in-memory singleton removal
  125. Sun Nov 6 12:06:30 2022 begin with 105244737 relations and 99224146 unique ideals
  126. Sun Nov 6 12:07:45 2022 reduce to 104851676 relations and 93306716 ideals in 7 passes
  127. Sun Nov 6 12:07:45 2022 max relations containing the same ideal: 134
  128. Sun Nov 6 12:08:41 2022 removing 7547480 relations and 5547480 ideals in 2000000 cliques
  129. Sun Nov 6 12:08:44 2022 commencing in-memory singleton removal
  130. Sun Nov 6 12:08:54 2022 begin with 97304196 relations and 93306716 unique ideals
  131. Sun Nov 6 12:10:01 2022 reduce to 96880060 relations and 87328110 ideals in 7 passes
  132. Sun Nov 6 12:10:01 2022 max relations containing the same ideal: 121
  133. Sun Nov 6 12:10:55 2022 removing 7587122 relations and 5587122 ideals in 2000000 cliques
  134. Sun Nov 6 12:10:58 2022 commencing in-memory singleton removal
  135. Sun Nov 6 12:11:06 2022 begin with 89292938 relations and 87328110 unique ideals
  136. Sun Nov 6 12:12:16 2022 reduce to 88831458 relations and 81271354 ideals in 8 passes
  137. Sun Nov 6 12:12:16 2022 max relations containing the same ideal: 115
  138. Sun Nov 6 12:13:05 2022 removing 7650880 relations and 5650880 ideals in 2000000 cliques
  139. Sun Nov 6 12:13:08 2022 commencing in-memory singleton removal
  140. Sun Nov 6 12:13:15 2022 begin with 81180578 relations and 81271354 unique ideals
  141. Sun Nov 6 12:14:19 2022 reduce to 80666730 relations and 75096798 ideals in 8 passes
  142. Sun Nov 6 12:14:19 2022 max relations containing the same ideal: 105
  143. Sun Nov 6 12:15:04 2022 removing 7740738 relations and 5740738 ideals in 2000000 cliques
  144. Sun Nov 6 12:15:07 2022 commencing in-memory singleton removal
  145. Sun Nov 6 12:15:14 2022 begin with 72925992 relations and 75096798 unique ideals
  146. Sun Nov 6 12:16:11 2022 reduce to 72347519 relations and 68765434 ideals in 8 passes
  147. Sun Nov 6 12:16:11 2022 max relations containing the same ideal: 99
  148. Sun Nov 6 12:16:53 2022 removing 7849502 relations and 5849502 ideals in 2000000 cliques
  149. Sun Nov 6 12:16:56 2022 commencing in-memory singleton removal
  150. Sun Nov 6 12:17:02 2022 begin with 64498017 relations and 68765434 unique ideals
  151. Sun Nov 6 12:17:52 2022 reduce to 63827167 relations and 62229525 ideals in 8 passes
  152. Sun Nov 6 12:17:52 2022 max relations containing the same ideal: 93
  153. Sun Nov 6 12:18:28 2022 removing 1373033 relations and 1143635 ideals in 229398 cliques
  154. Sun Nov 6 12:18:29 2022 commencing in-memory singleton removal
  155. Sun Nov 6 12:18:34 2022 begin with 62454134 relations and 62229525 unique ideals
  156. Sun Nov 6 12:19:10 2022 reduce to 62434281 relations and 61065963 ideals in 6 passes
  157. Sun Nov 6 12:19:10 2022 max relations containing the same ideal: 93
  158. Sun Nov 6 12:19:25 2022 relations with 0 large ideals: 44724
  159. Sun Nov 6 12:19:25 2022 relations with 1 large ideals: 16044
  160. Sun Nov 6 12:19:25 2022 relations with 2 large ideals: 204077
  161. Sun Nov 6 12:19:25 2022 relations with 3 large ideals: 1401407
  162. Sun Nov 6 12:19:25 2022 relations with 4 large ideals: 5234982
  163. Sun Nov 6 12:19:25 2022 relations with 5 large ideals: 11707985
  164. Sun Nov 6 12:19:25 2022 relations with 6 large ideals: 16414335
  165. Sun Nov 6 12:19:25 2022 relations with 7+ large ideals: 27410727
  166. Sun Nov 6 12:19:25 2022 commencing 2-way merge
  167. Sun Nov 6 12:20:12 2022 reduce to 39123476 relation sets and 37755158 unique ideals
  168. Sun Nov 6 12:20:12 2022 commencing full merge
  169. Sun Nov 6 12:40:56 2022 memory use: 5148.8 MB
  170. Sun Nov 6 12:41:01 2022 found 17666019 cycles, need 17605358
  171. Sun Nov 6 12:41:03 2022 weight of 17605358 cycles is about 2113050263 (120.02/cycle)
  172. Sun Nov 6 12:41:03 2022 distribution of cycle lengths:
  173. Sun Nov 6 12:41:03 2022 1 relations: 1124275
  174. Sun Nov 6 12:41:03 2022 2 relations: 1224687
  175. Sun Nov 6 12:41:03 2022 3 relations: 1272787
  176. Sun Nov 6 12:41:03 2022 4 relations: 1249240
  177. Sun Nov 6 12:41:03 2022 5 relations: 1246326
  178. Sun Nov 6 12:41:03 2022 6 relations: 1204858
  179. Sun Nov 6 12:41:03 2022 7 relations: 1174999
  180. Sun Nov 6 12:41:03 2022 8 relations: 1118098
  181. Sun Nov 6 12:41:03 2022 9 relations: 1060281
  182. Sun Nov 6 12:41:03 2022 10+ relations: 6929807
  183. Sun Nov 6 12:41:03 2022 heaviest cycle: 28 relations
  184. Sun Nov 6 12:41:07 2022 commencing cycle optimization
  185. Sun Nov 6 12:41:44 2022 start with 153505593 relations
  186. Sun Nov 6 12:50:20 2022 pruned 6501360 relations
  187. Sun Nov 6 12:50:21 2022 memory use: 4146.7 MB
  188. Sun Nov 6 12:50:21 2022 distribution of cycle lengths:
  189. Sun Nov 6 12:50:21 2022 1 relations: 1124275
  190. Sun Nov 6 12:50:21 2022 2 relations: 1251615
  191. Sun Nov 6 12:50:21 2022 3 relations: 1320900
  192. Sun Nov 6 12:50:21 2022 4 relations: 1295339
  193. Sun Nov 6 12:50:21 2022 5 relations: 1300096
  194. Sun Nov 6 12:50:21 2022 6 relations: 1256631
  195. Sun Nov 6 12:50:21 2022 7 relations: 1228695
  196. Sun Nov 6 12:50:21 2022 8 relations: 1166766
  197. Sun Nov 6 12:50:21 2022 9 relations: 1104051
  198. Sun Nov 6 12:50:21 2022 10+ relations: 6556990
  199. Sun Nov 6 12:50:21 2022 heaviest cycle: 28 relations
  200. Sun Nov 6 12:51:27 2022 RelProcTime: 19908
  201. Sun Nov 6 12:51:27 2022
  202. Sun Nov 6 12:51:27 2022 commencing linear algebra
  203. Sun Nov 6 12:51:30 2022 read 17605358 cycles
  204. Sun Nov 6 12:52:16 2022 cycles contain 61661669 unique relations
  205. Sun Nov 6 13:03:31 2022 read 61661669 relations
  206. Sun Nov 6 13:06:20 2022 using 20 quadratic characters above 4294917295
  207. Sun Nov 6 13:10:38 2022 building initial matrix
  208. Sun Nov 6 13:24:55 2022 memory use: 7761.9 MB
  209. Sun Nov 6 13:25:16 2022 read 17605358 cycles
  210. Sun Nov 6 13:25:22 2022 matrix is 17605181 x 17605358 (8285.1 MB) with weight 2388940903 (135.69/col)
  211. Sun Nov 6 13:25:22 2022 sparse part has weight 1978217317 (112.36/col)
  212. Sun Nov 6 13:30:21 2022 filtering completed in 2 passes
  213. Sun Nov 6 13:30:27 2022 matrix is 17604722 x 17604899 (8285.0 MB) with weight 2388924482 (135.70/col)
  214. Sun Nov 6 13:30:27 2022 sparse part has weight 1978212073 (112.37/col)
  215. Sun Nov 6 13:32:19 2022 matrix starts at (0, 0)
  216. Sun Nov 6 13:32:25 2022 matrix is 17604722 x 17604899 (8285.0 MB) with weight 2388924482 (135.70/col)
  217. Sun Nov 6 13:32:25 2022 sparse part has weight 1978212073 (112.37/col)
  218. Sun Nov 6 13:32:25 2022 saving the first 48 matrix rows for later
  219. Sun Nov 6 13:32:31 2022 matrix includes 64 packed rows
  220. Sun Nov 6 13:32:35 2022 matrix is 17604674 x 17604899 (7975.1 MB) with weight 2061026332 (117.07/col)
  221. Sun Nov 6 13:32:35 2022 sparse part has weight 1914572313 (108.75/col)
  222. Sun Nov 6 13:32:35 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  223. Sun Nov 6 13:34:58 2022 commencing Lanczos iteration (6 threads)
  224. Sun Nov 6 13:34:58 2022 memory use: 6888.8 MB
  225. Sun Nov 6 13:36:54 2022 linear algebra at 0.0%, ETA 357h 5m
  226. Sun Nov 6 13:37:31 2022 checkpointing every 50000 dimensions
  227. Mon Nov 21 06:44:40 2022 lanczos halted after 278406 iterations (dim = 17604673)
  228. Mon Nov 21 06:45:40 2022 recovered 40 nontrivial dependencies
  229. Mon Nov 21 06:46:12 2022 BLanczosTime: 1274085
  230. Mon Nov 21 06:46:12 2022
  231. Mon Nov 21 06:46:12 2022 commencing square root phase
  232. Mon Nov 21 06:46:12 2022 handling dependencies 1 to 64
  233. Mon Nov 21 06:46:12 2022 reading relations for dependency 1
  234. Mon Nov 21 06:46:16 2022 read 8800999 cycles
  235. Mon Nov 21 06:46:37 2022 cycles contain 30832164 unique relations
  236. Mon Nov 21 06:54:42 2022 read 30832164 relations
  237. Mon Nov 21 06:57:46 2022 multiplying 30832164 relations
  238. Mon Nov 21 07:26:54 2022 multiply complete, coefficients have about 974.76 million bits
  239. Mon Nov 21 07:27:01 2022 initial square root is modulo 555996823
  240. Mon Nov 21 08:00:42 2022 GCD is 1, no factor found
  241. Mon Nov 21 08:00:42 2022 reading relations for dependency 2
  242. Mon Nov 21 08:01:19 2022 read 8800039 cycles
  243. Mon Nov 21 08:01:40 2022 cycles contain 30828732 unique relations
  244. Mon Nov 21 08:09:51 2022 read 30828732 relations
  245. Mon Nov 21 08:12:55 2022 multiplying 30828732 relations
  246. Mon Nov 21 08:42:00 2022 multiply complete, coefficients have about 974.65 million bits
  247. Mon Nov 21 08:42:07 2022 initial square root is modulo 554726323
  248. Mon Nov 21 09:16:20 2022 GCD is N, no factor found
  249. Mon Nov 21 09:16:20 2022 reading relations for dependency 3
  250. Mon Nov 21 09:16:57 2022 read 8800948 cycles
  251. Mon Nov 21 09:17:18 2022 cycles contain 30820354 unique relations
  252. Mon Nov 21 09:25:27 2022 read 30820354 relations
  253. Mon Nov 21 09:28:29 2022 multiplying 30820354 relations
  254. Mon Nov 21 09:57:36 2022 multiply complete, coefficients have about 974.39 million bits
  255. Mon Nov 21 09:57:43 2022 initial square root is modulo 551755279
  256. Mon Nov 21 10:31:52 2022 sqrtTime: 13540
  257. Mon Nov 21 10:31:52 2022 p84 factor: 199510973552580756685529281454258754740589614855635527459321856285401564300191932561
  258. Mon Nov 21 10:31:52 2022 p146 factor: 60633157743708563734520229204664929145971152168037392740020860826336075580097048832959324420248462732152433600000079505015653250612926335407215333
  259. Mon Nov 21 10:31:52 2022 elapsed time 363:12:16
  260.  
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