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Msieve log of C158_829332_3739

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Jun 29th, 2023
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  1. Thu Jun 29 03:47:40 2023
  2. Thu Jun 29 03:47:40 2023
  3. Thu Jun 29 03:47:40 2023 Msieve v. 1.53 (SVN 988)
  4. Thu Jun 29 03:47:40 2023 random seeds: 2f8ed08c 8d62d625
  5. Thu Jun 29 03:47:40 2023 factoring 12943183660417699578021976140598873360713088977989284872204006320610367212752078341005579093413525653891591540941468522029259122802148400035233511710266072873 (158 digits)
  6. Thu Jun 29 03:47:41 2023 searching for 15-digit factors
  7. Thu Jun 29 03:47:42 2023 commencing number field sieve (158-digit input)
  8. Thu Jun 29 03:47:42 2023 R0: -5422834402439821267191615209764
  9. Thu Jun 29 03:47:42 2023 R1: 24938104724303017
  10. Thu Jun 29 03:47:42 2023 A0: 61822489377647437478312990510344850926965
  11. Thu Jun 29 03:47:42 2023 A1: 3774982577244350259876290961932391
  12. Thu Jun 29 03:47:42 2023 A2: -399934835137785069094115143
  13. Thu Jun 29 03:47:42 2023 A3: -8771174797324256255
  14. Thu Jun 29 03:47:42 2023 A4: 440737756994
  15. Thu Jun 29 03:47:42 2023 A5: 2760
  16. Thu Jun 29 03:47:42 2023 skew 33455760.56, size 2.734e-015, alpha -7.760, combined = 2.041e-012 rroots = 5
  17. Thu Jun 29 03:47:42 2023
  18. Thu Jun 29 03:47:42 2023 commencing relation filtering
  19. Thu Jun 29 03:47:42 2023 setting target matrix density to 130.0
  20. Thu Jun 29 03:47:42 2023 estimated available RAM is 12041.5 MB
  21. Thu Jun 29 03:47:42 2023 commencing duplicate removal, pass 1
  22. Thu Jun 29 03:49:29 2023 error -15 reading relation 8553565
  23. Thu Jun 29 03:49:29 2023 error -15 reading relation 8580141
  24. Thu Jun 29 03:49:38 2023 error -1 reading relation 9295111
  25. Thu Jun 29 03:49:38 2023 error -1 reading relation 9303841
  26. Thu Jun 29 03:49:38 2023 error -1 reading relation 9312622
  27. Thu Jun 29 03:49:55 2023 error -9 reading relation 10544210
  28. Thu Jun 29 03:50:45 2023 error -15 reading relation 14465601
  29. Thu Jun 29 03:51:00 2023 error -9 reading relation 15688135
  30. Thu Jun 29 03:51:01 2023 error -15 reading relation 15697605
  31. Thu Jun 29 03:51:01 2023 error -9 reading relation 15705630
  32. Thu Jun 29 03:51:01 2023 error -15 reading relation 15715495
  33. Thu Jun 29 03:52:06 2023 error -15 reading relation 20862725
  34. Thu Jun 29 03:53:03 2023 error -1 reading relation 25259132
  35. Thu Jun 29 03:59:23 2023 error -9 reading relation 53950040
  36. Thu Jun 29 03:59:54 2023 error -1 reading relation 56472346
  37. Thu Jun 29 03:59:54 2023 error -5 reading relation 56504820
  38. Thu Jun 29 04:00:44 2023 error -15 reading relation 60440014
  39. Thu Jun 29 04:01:22 2023 error -9 reading relation 63460786
  40. Thu Jun 29 04:01:22 2023 error -15 reading relation 63471201
  41. Thu Jun 29 04:01:23 2023 error -5 reading relation 63480365
  42. Thu Jun 29 04:01:23 2023 error -15 reading relation 63490578
  43. Thu Jun 29 04:02:24 2023 error -1 reading relation 68348315
  44. Thu Jun 29 04:04:13 2023 error -15 reading relation 76952804
  45. Thu Jun 29 04:04:55 2023 error -1 reading relation 80119298
  46. Thu Jun 29 04:05:17 2023 error -9 reading relation 81869341
  47. Thu Jun 29 04:05:44 2023 error -15 reading relation 83896215
  48. Thu Jun 29 04:05:44 2023 error -15 reading relation 83916628
  49. Thu Jun 29 04:05:44 2023 error -9 reading relation 83927071
  50. Thu Jun 29 04:05:45 2023 error -9 reading relation 83938194
  51. Thu Jun 29 04:06:47 2023 error -15 reading relation 88587966
  52. Thu Jun 29 04:06:53 2023 error -9 reading relation 88989156
  53. Thu Jun 29 04:07:05 2023 error -15 reading relation 89930980
  54. Thu Jun 29 04:07:05 2023 error -15 reading relation 89940089
  55. Thu Jun 29 04:07:05 2023 error -9 reading relation 89950474
  56. Thu Jun 29 04:07:05 2023 error -15 reading relation 89969080
  57. Thu Jun 29 04:07:40 2023 error -15 reading relation 92534368
  58. Thu Jun 29 04:07:41 2023 error -5 reading relation 92665348
  59. Thu Jun 29 04:07:43 2023 error -15 reading relation 92749711
  60. Thu Jun 29 04:09:06 2023 error -15 reading relation 98791454
  61. Thu Jun 29 04:11:19 2023 error -9 reading relation 108781781
  62. Thu Jun 29 04:11:19 2023 error -9 reading relation 108791922
  63. Thu Jun 29 04:11:19 2023 error -9 reading relation 108801104
  64. Thu Jun 29 04:11:20 2023 error -9 reading relation 108810111
  65. Thu Jun 29 04:11:20 2023 error -15 reading relation 108810956
  66. Thu Jun 29 04:11:20 2023 error -15 reading relation 108816178
  67. Thu Jun 29 04:11:43 2023 error -1 reading relation 110692995
  68. Thu Jun 29 04:11:43 2023 error -1 reading relation 110713293
  69. Thu Jun 29 04:13:00 2023 error -15 reading relation 116793422
  70. Thu Jun 29 04:13:12 2023 error -15 reading relation 117712793
  71. Thu Jun 29 04:13:13 2023 error -15 reading relation 117773743
  72. Thu Jun 29 04:13:45 2023 error -9 reading relation 120418673
  73. Thu Jun 29 04:16:28 2023 skipped 26 relations with composite factors
  74. Thu Jun 29 04:16:28 2023 found 26642337 hash collisions in 133945984 relations
  75. Thu Jun 29 04:17:05 2023 added 122705 free relations
  76. Thu Jun 29 04:17:05 2023 commencing duplicate removal, pass 2
  77. Thu Jun 29 04:19:00 2023 found 25418140 duplicates and 108650549 unique relations
  78. Thu Jun 29 04:19:00 2023 memory use: 660.8 MB
  79. Thu Jun 29 04:19:00 2023 reading ideals above 59965440
  80. Thu Jun 29 04:19:00 2023 commencing singleton removal, initial pass
  81. Thu Jun 29 04:35:41 2023 memory use: 2756.0 MB
  82. Thu Jun 29 04:35:41 2023 reading all ideals from disk
  83. Thu Jun 29 04:35:44 2023 memory use: 1875.8 MB
  84. Thu Jun 29 04:35:50 2023 commencing in-memory singleton removal
  85. Thu Jun 29 04:35:55 2023 begin with 108650549 relations and 84781870 unique ideals
  86. Thu Jun 29 04:36:42 2023 reduce to 76183009 relations and 49421568 ideals in 12 passes
  87. Thu Jun 29 04:36:42 2023 max relations containing the same ideal: 60
  88. Thu Jun 29 04:36:49 2023 reading ideals above 720000
  89. Thu Jun 29 04:36:50 2023 commencing singleton removal, initial pass
  90. Thu Jun 29 04:51:11 2023 memory use: 1506.0 MB
  91. Thu Jun 29 04:51:11 2023 reading all ideals from disk
  92. Thu Jun 29 04:51:16 2023 memory use: 2776.7 MB
  93. Thu Jun 29 04:51:26 2023 keeping 56138234 ideals with weight <= 200, target excess is 402718
  94. Thu Jun 29 04:51:36 2023 commencing in-memory singleton removal
  95. Thu Jun 29 04:51:44 2023 begin with 76183009 relations and 56138234 unique ideals
  96. Thu Jun 29 04:52:13 2023 reduce to 76182727 relations and 56137952 ideals in 4 passes
  97. Thu Jun 29 04:52:13 2023 max relations containing the same ideal: 200
  98. Thu Jun 29 04:52:52 2023 removing 8036607 relations and 6036607 ideals in 2000000 cliques
  99. Thu Jun 29 04:52:56 2023 commencing in-memory singleton removal
  100. Thu Jun 29 04:53:03 2023 begin with 68146120 relations and 56137952 unique ideals
  101. Thu Jun 29 04:53:47 2023 reduce to 67482207 relations and 49416002 ideals in 7 passes
  102. Thu Jun 29 04:53:47 2023 max relations containing the same ideal: 195
  103. Thu Jun 29 04:54:23 2023 removing 6367016 relations and 4367016 ideals in 2000000 cliques
  104. Thu Jun 29 04:54:26 2023 commencing in-memory singleton removal
  105. Thu Jun 29 04:54:32 2023 begin with 61115191 relations and 49416002 unique ideals
  106. Thu Jun 29 04:55:11 2023 reduce to 60660414 relations and 44580862 ideals in 7 passes
  107. Thu Jun 29 04:55:11 2023 max relations containing the same ideal: 182
  108. Thu Jun 29 04:55:44 2023 removing 5926396 relations and 3926396 ideals in 2000000 cliques
  109. Thu Jun 29 04:55:47 2023 commencing in-memory singleton removal
  110. Thu Jun 29 04:55:53 2023 begin with 54734018 relations and 44580862 unique ideals
  111. Thu Jun 29 04:56:22 2023 reduce to 54332442 relations and 40240822 ideals in 6 passes
  112. Thu Jun 29 04:56:22 2023 max relations containing the same ideal: 170
  113. Thu Jun 29 04:56:52 2023 removing 5701646 relations and 3701646 ideals in 2000000 cliques
  114. Thu Jun 29 04:56:55 2023 commencing in-memory singleton removal
  115. Thu Jun 29 04:57:00 2023 begin with 48630796 relations and 40240822 unique ideals
  116. Thu Jun 29 04:57:31 2023 reduce to 48242550 relations and 36138305 ideals in 7 passes
  117. Thu Jun 29 04:57:31 2023 max relations containing the same ideal: 158
  118. Thu Jun 29 04:57:58 2023 removing 5558775 relations and 3558775 ideals in 2000000 cliques
  119. Thu Jun 29 04:58:00 2023 commencing in-memory singleton removal
  120. Thu Jun 29 04:58:05 2023 begin with 42683775 relations and 36138305 unique ideals
  121. Thu Jun 29 04:58:32 2023 reduce to 42290188 relations and 32171751 ideals in 7 passes
  122. Thu Jun 29 04:58:32 2023 max relations containing the same ideal: 148
  123. Thu Jun 29 04:58:55 2023 removing 5469322 relations and 3469322 ideals in 2000000 cliques
  124. Thu Jun 29 04:58:58 2023 commencing in-memory singleton removal
  125. Thu Jun 29 04:59:02 2023 begin with 36820866 relations and 32171751 unique ideals
  126. Thu Jun 29 04:59:24 2023 reduce to 36406738 relations and 28271605 ideals in 7 passes
  127. Thu Jun 29 04:59:24 2023 max relations containing the same ideal: 134
  128. Thu Jun 29 04:59:45 2023 removing 5415476 relations and 3415476 ideals in 2000000 cliques
  129. Thu Jun 29 04:59:47 2023 commencing in-memory singleton removal
  130. Thu Jun 29 04:59:51 2023 begin with 30991262 relations and 28271605 unique ideals
  131. Thu Jun 29 05:00:09 2023 reduce to 30533068 relations and 24376811 ideals in 7 passes
  132. Thu Jun 29 05:00:09 2023 max relations containing the same ideal: 119
  133. Thu Jun 29 05:00:27 2023 removing 5386509 relations and 3386509 ideals in 2000000 cliques
  134. Thu Jun 29 05:00:29 2023 commencing in-memory singleton removal
  135. Thu Jun 29 05:00:32 2023 begin with 25146559 relations and 24376811 unique ideals
  136. Thu Jun 29 05:00:47 2023 reduce to 24614993 relations and 20430256 ideals in 7 passes
  137. Thu Jun 29 05:00:47 2023 max relations containing the same ideal: 105
  138. Thu Jun 29 05:01:01 2023 removing 5380030 relations and 3380030 ideals in 2000000 cliques
  139. Thu Jun 29 05:01:03 2023 commencing in-memory singleton removal
  140. Thu Jun 29 05:01:05 2023 begin with 19234963 relations and 20430256 unique ideals
  141. Thu Jun 29 05:01:16 2023 reduce to 18586847 relations and 16358525 ideals in 7 passes
  142. Thu Jun 29 05:01:16 2023 max relations containing the same ideal: 84
  143. Thu Jun 29 05:01:28 2023 removing 4834359 relations and 3073190 ideals in 1761169 cliques
  144. Thu Jun 29 05:01:29 2023 commencing in-memory singleton removal
  145. Thu Jun 29 05:01:31 2023 begin with 13752488 relations and 16358525 unique ideals
  146. Thu Jun 29 05:01:39 2023 reduce to 13020993 relations and 12494840 ideals in 8 passes
  147. Thu Jun 29 05:01:39 2023 max relations containing the same ideal: 65
  148. Thu Jun 29 05:01:47 2023 removing 321120 relations and 262120 ideals in 59000 cliques
  149. Thu Jun 29 05:01:47 2023 commencing in-memory singleton removal
  150. Thu Jun 29 05:01:49 2023 begin with 12699873 relations and 12494840 unique ideals
  151. Thu Jun 29 05:01:54 2023 reduce to 12692983 relations and 12225788 ideals in 5 passes
  152. Thu Jun 29 05:01:54 2023 max relations containing the same ideal: 64
  153. Thu Jun 29 05:01:56 2023 relations with 0 large ideals: 1266
  154. Thu Jun 29 05:01:56 2023 relations with 1 large ideals: 8292
  155. Thu Jun 29 05:01:56 2023 relations with 2 large ideals: 112782
  156. Thu Jun 29 05:01:56 2023 relations with 3 large ideals: 642904
  157. Thu Jun 29 05:01:56 2023 relations with 4 large ideals: 1896690
  158. Thu Jun 29 05:01:56 2023 relations with 5 large ideals: 3231686
  159. Thu Jun 29 05:01:56 2023 relations with 6 large ideals: 3405879
  160. Thu Jun 29 05:01:56 2023 relations with 7+ large ideals: 3393484
  161. Thu Jun 29 05:01:56 2023 commencing 2-way merge
  162. Thu Jun 29 05:02:06 2023 reduce to 8399782 relation sets and 7932587 unique ideals
  163. Thu Jun 29 05:02:06 2023 commencing full merge
  164. Thu Jun 29 05:05:57 2023 memory use: 1003.8 MB
  165. Thu Jun 29 05:05:59 2023 found 3674745 cycles, need 3658787
  166. Thu Jun 29 05:05:59 2023 weight of 3658787 cycles is about 476202225 (130.15/cycle)
  167. Thu Jun 29 05:05:59 2023 distribution of cycle lengths:
  168. Thu Jun 29 05:05:59 2023 1 relations: 87088
  169. Thu Jun 29 05:05:59 2023 2 relations: 172540
  170. Thu Jun 29 05:05:59 2023 3 relations: 226561
  171. Thu Jun 29 05:05:59 2023 4 relations: 250190
  172. Thu Jun 29 05:05:59 2023 5 relations: 270872
  173. Thu Jun 29 05:05:59 2023 6 relations: 276042
  174. Thu Jun 29 05:05:59 2023 7 relations: 274455
  175. Thu Jun 29 05:05:59 2023 8 relations: 264133
  176. Thu Jun 29 05:05:59 2023 9 relations: 248432
  177. Thu Jun 29 05:05:59 2023 10+ relations: 1588474
  178. Thu Jun 29 05:05:59 2023 heaviest cycle: 28 relations
  179. Thu Jun 29 05:06:02 2023 commencing cycle optimization
  180. Thu Jun 29 05:06:10 2023 start with 34723630 relations
  181. Thu Jun 29 05:08:08 2023 pruned 1895859 relations
  182. Thu Jun 29 05:08:08 2023 memory use: 880.8 MB
  183. Thu Jun 29 05:08:08 2023 distribution of cycle lengths:
  184. Thu Jun 29 05:08:08 2023 1 relations: 87088
  185. Thu Jun 29 05:08:08 2023 2 relations: 178103
  186. Thu Jun 29 05:08:08 2023 3 relations: 237593
  187. Thu Jun 29 05:08:08 2023 4 relations: 263441
  188. Thu Jun 29 05:08:08 2023 5 relations: 287787
  189. Thu Jun 29 05:08:08 2023 6 relations: 293576
  190. Thu Jun 29 05:08:08 2023 7 relations: 292903
  191. Thu Jun 29 05:08:08 2023 8 relations: 280434
  192. Thu Jun 29 05:08:08 2023 9 relations: 262873
  193. Thu Jun 29 05:08:08 2023 10+ relations: 1474989
  194. Thu Jun 29 05:08:08 2023 heaviest cycle: 28 relations
  195. Thu Jun 29 05:08:15 2023 RelProcTime: 4833
  196. Thu Jun 29 05:08:15 2023
  197. Thu Jun 29 05:08:15 2023 commencing linear algebra
  198. Thu Jun 29 05:08:16 2023 read 3658787 cycles
  199. Thu Jun 29 05:08:27 2023 cycles contain 12457076 unique relations
  200. Thu Jun 29 05:10:40 2023 read 12457076 relations
  201. Thu Jun 29 05:11:09 2023 using 20 quadratic characters above 4294917295
  202. Thu Jun 29 05:12:35 2023 building initial matrix
  203. Thu Jun 29 05:16:35 2023 memory use: 1733.3 MB
  204. Thu Jun 29 05:16:39 2023 read 3658787 cycles
  205. Thu Jun 29 05:16:40 2023 matrix is 3658608 x 3658787 (1829.7 MB) with weight 561092539 (153.35/col)
  206. Thu Jun 29 05:16:40 2023 sparse part has weight 435751056 (119.10/col)
  207. Thu Jun 29 05:17:36 2023 filtering completed in 2 passes
  208. Thu Jun 29 05:17:37 2023 matrix is 3658541 x 3658720 (1829.7 MB) with weight 561088985 (153.36/col)
  209. Thu Jun 29 05:17:37 2023 sparse part has weight 435749996 (119.10/col)
  210. Thu Jun 29 05:17:51 2023 matrix starts at (0, 0)
  211. Thu Jun 29 05:17:52 2023 matrix is 3658541 x 3658720 (1829.7 MB) with weight 561088985 (153.36/col)
  212. Thu Jun 29 05:17:52 2023 sparse part has weight 435749996 (119.10/col)
  213. Thu Jun 29 05:17:52 2023 saving the first 48 matrix rows for later
  214. Thu Jun 29 05:17:54 2023 matrix includes 64 packed rows
  215. Thu Jun 29 05:17:55 2023 matrix is 3658493 x 3658720 (1784.1 MB) with weight 482029404 (131.75/col)
  216. Thu Jun 29 05:17:55 2023 sparse part has weight 431114423 (117.83/col)
  217. Thu Jun 29 05:17:55 2023 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  218. Thu Jun 29 05:18:27 2023 commencing Lanczos iteration (6 threads)
  219. Thu Jun 29 05:18:27 2023 memory use: 1470.0 MB
  220. Thu Jun 29 05:18:45 2023 linear algebra at 0.0%, ETA 12h 4m
  221. Thu Jun 29 05:18:51 2023 checkpointing every 310000 dimensions
  222. Thu Jun 29 17:19:48 2023 lanczos halted after 57860 iterations (dim = 3658491)
  223. Thu Jun 29 17:19:54 2023 recovered 27 nontrivial dependencies
  224. Thu Jun 29 17:19:55 2023 BLanczosTime: 43900
  225. Thu Jun 29 17:19:55 2023
  226. Thu Jun 29 17:19:55 2023 commencing square root phase
  227. Thu Jun 29 17:19:55 2023 handling dependencies 1 to 64
  228. Thu Jun 29 17:19:55 2023 reading relations for dependency 1
  229. Thu Jun 29 17:19:56 2023 read 1829052 cycles
  230. Thu Jun 29 17:20:01 2023 cycles contain 6227594 unique relations
  231. Thu Jun 29 17:21:33 2023 read 6227594 relations
  232. Thu Jun 29 17:22:14 2023 multiplying 6227594 relations
  233. Thu Jun 29 17:29:22 2023 multiply complete, coefficients have about 308.96 million bits
  234. Thu Jun 29 17:29:24 2023 initial square root is modulo 349787
  235. Thu Jun 29 17:37:13 2023 GCD is N, no factor found
  236. Thu Jun 29 17:37:13 2023 reading relations for dependency 2
  237. Thu Jun 29 17:37:15 2023 read 1830120 cycles
  238. Thu Jun 29 17:37:20 2023 cycles contain 6229714 unique relations
  239. Thu Jun 29 17:38:53 2023 read 6229714 relations
  240. Thu Jun 29 17:39:33 2023 multiplying 6229714 relations
  241. Thu Jun 29 17:46:32 2023 multiply complete, coefficients have about 309.07 million bits
  242. Thu Jun 29 17:46:34 2023 initial square root is modulo 351383
  243. Thu Jun 29 17:54:23 2023 GCD is 1, no factor found
  244. Thu Jun 29 17:54:23 2023 reading relations for dependency 3
  245. Thu Jun 29 17:54:24 2023 read 1828776 cycles
  246. Thu Jun 29 17:54:29 2023 cycles contain 6225218 unique relations
  247. Thu Jun 29 17:56:02 2023 read 6225218 relations
  248. Thu Jun 29 17:56:42 2023 multiplying 6225218 relations
  249. Thu Jun 29 18:03:41 2023 multiply complete, coefficients have about 308.85 million bits
  250. Thu Jun 29 18:03:44 2023 initial square root is modulo 348217
  251. Thu Jun 29 18:11:33 2023 GCD is 1, no factor found
  252. Thu Jun 29 18:11:33 2023 reading relations for dependency 4
  253. Thu Jun 29 18:11:35 2023 read 1828815 cycles
  254. Thu Jun 29 18:11:39 2023 cycles contain 6228426 unique relations
  255. Thu Jun 29 18:13:13 2023 read 6228426 relations
  256. Thu Jun 29 18:13:52 2023 multiplying 6228426 relations
  257. Thu Jun 29 18:20:49 2023 multiply complete, coefficients have about 309.00 million bits
  258. Thu Jun 29 18:20:51 2023 initial square root is modulo 350453
  259. Thu Jun 29 18:28:39 2023 GCD is N, no factor found
  260. Thu Jun 29 18:28:39 2023 reading relations for dependency 5
  261. Thu Jun 29 18:28:40 2023 read 1828793 cycles
  262. Thu Jun 29 18:28:45 2023 cycles contain 6227034 unique relations
  263. Thu Jun 29 18:30:18 2023 read 6227034 relations
  264. Thu Jun 29 18:30:58 2023 multiplying 6227034 relations
  265. Thu Jun 29 18:38:24 2023 multiply complete, coefficients have about 308.93 million bits
  266. Thu Jun 29 18:38:26 2023 initial square root is modulo 349303
  267. Thu Jun 29 18:47:50 2023 sqrtTime: 5275
  268. Thu Jun 29 18:47:50 2023 p67 factor: 2614489850300033619224163789307779772250422257647337685742005481543
  269. Thu Jun 29 18:47:50 2023 p91 factor: 4950558006156484310794201794536155405769918258333369584967581146035454855930081686146391311
  270. Thu Jun 29 18:47:50 2023 elapsed time 15:00:10
  271.  
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