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Msieve log of C154_230916_6743

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May 20th, 2025
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  1. Mon May 19 04:07:21 2025
  2. Mon May 19 04:07:21 2025
  3. Mon May 19 04:07:21 2025 Msieve v. 1.53 (SVN 988)
  4. Mon May 19 04:07:21 2025 random seeds: 60833bb0 95c9ef4a
  5. Mon May 19 04:07:21 2025 factoring 5404051090535335497037030715207025405007700762350454502552394261465291494719767872652116628510741904320209640891924613506033426137671421248011492195340981 (154 digits)
  6. Mon May 19 04:07:23 2025 searching for 15-digit factors
  7. Mon May 19 04:07:23 2025 commencing number field sieve (154-digit input)
  8. Mon May 19 04:07:23 2025 R0: -746940069431932043061384889830
  9. Mon May 19 04:07:23 2025 R1: 11099972854411212018161
  10. Mon May 19 04:07:23 2025 A0: -905315439191255383011449579590463128
  11. Mon May 19 04:07:23 2025 A1: 4581237082187927988507508991363
  12. Mon May 19 04:07:23 2025 A2: 554584287061208615010814
  13. Mon May 19 04:07:23 2025 A3: -2775517314321389555
  14. Mon May 19 04:07:23 2025 A4: -109233076614
  15. Mon May 19 04:07:23 2025 A5: 48720
  16. Mon May 19 04:07:23 2025 skew 2880137.71, size 6.325e-015, alpha -6.195, combined = 3.418e-012 rroots = 5
  17. Mon May 19 04:07:23 2025
  18. Mon May 19 04:07:23 2025 commencing relation filtering
  19. Mon May 19 04:07:23 2025 setting target matrix density to 130.0
  20. Mon May 19 04:07:23 2025 estimated available RAM is 12041.5 MB
  21. Mon May 19 04:07:23 2025 commencing duplicate removal, pass 1
  22. Mon May 19 04:10:00 2025 error -15 reading relation 10213227
  23. Mon May 19 04:11:10 2025 error -15 reading relation 15170958
  24. Mon May 19 04:26:13 2025 error -9 reading relation 73722412
  25. Mon May 19 04:26:22 2025 error -5 reading relation 74252532
  26. Mon May 19 04:26:27 2025 error -1 reading relation 74615208
  27. Mon May 19 04:26:32 2025 error -15 reading relation 74950533
  28. Mon May 19 04:28:48 2025 error -9 reading relation 83408223
  29. Mon May 19 04:28:53 2025 error -15 reading relation 83807602
  30. Mon May 19 04:29:43 2025 error -9 reading relation 87383844
  31. Mon May 19 04:32:07 2025 error -9 reading relation 97203805
  32. Mon May 19 04:36:34 2025 error -15 reading relation 117593330
  33. Mon May 19 04:36:34 2025 error -15 reading relation 117595363
  34. Mon May 19 04:41:40 2025 error -15 reading relation 141323850
  35. Mon May 19 04:42:28 2025 error -15 reading relation 145230430
  36. Mon May 19 04:42:53 2025 skipped 8 relations with composite factors
  37. Mon May 19 04:42:53 2025 found 20430898 hash collisions in 147230366 relations
  38. Mon May 19 04:43:40 2025 added 122057 free relations
  39. Mon May 19 04:43:40 2025 commencing duplicate removal, pass 2
  40. Mon May 19 04:46:21 2025 found 18680616 duplicates and 128671807 unique relations
  41. Mon May 19 04:46:21 2025 memory use: 788.8 MB
  42. Mon May 19 04:46:21 2025 reading ideals above 59965440
  43. Mon May 19 04:46:21 2025 commencing singleton removal, initial pass
  44. Mon May 19 05:13:17 2025 memory use: 2756.0 MB
  45. Mon May 19 05:13:17 2025 reading all ideals from disk
  46. Mon May 19 05:13:25 2025 memory use: 2196.7 MB
  47. Mon May 19 05:13:35 2025 commencing in-memory singleton removal
  48. Mon May 19 05:13:46 2025 begin with 128671807 relations and 88262481 unique ideals
  49. Mon May 19 05:15:30 2025 reduce to 101140003 relations and 58900139 ideals in 10 passes
  50. Mon May 19 05:15:30 2025 max relations containing the same ideal: 83
  51. Mon May 19 05:15:46 2025 reading ideals above 720000
  52. Mon May 19 05:15:46 2025 commencing singleton removal, initial pass
  53. Mon May 19 05:43:05 2025 memory use: 1506.0 MB
  54. Mon May 19 05:43:05 2025 reading all ideals from disk
  55. Mon May 19 05:43:17 2025 memory use: 3676.1 MB
  56. Mon May 19 05:43:41 2025 keeping 65492696 ideals with weight <= 200, target excess is 526269
  57. Mon May 19 05:44:07 2025 commencing in-memory singleton removal
  58. Mon May 19 05:44:27 2025 begin with 101140003 relations and 65492696 unique ideals
  59. Mon May 19 05:46:16 2025 reduce to 101139976 relations and 65492669 ideals in 6 passes
  60. Mon May 19 05:46:16 2025 max relations containing the same ideal: 200
  61. Mon May 19 05:47:36 2025 removing 6919822 relations and 4919822 ideals in 2000000 cliques
  62. Mon May 19 05:47:41 2025 commencing in-memory singleton removal
  63. Mon May 19 05:47:57 2025 begin with 94220154 relations and 65492669 unique ideals
  64. Mon May 19 05:49:32 2025 reduce to 93814660 relations and 60156891 ideals in 6 passes
  65. Mon May 19 05:49:32 2025 max relations containing the same ideal: 198
  66. Mon May 19 05:50:47 2025 removing 5633606 relations and 3633606 ideals in 2000000 cliques
  67. Mon May 19 05:50:51 2025 commencing in-memory singleton removal
  68. Mon May 19 05:51:07 2025 begin with 88181054 relations and 60156891 unique ideals
  69. Mon May 19 05:52:35 2025 reduce to 87921282 relations and 56257700 ideals in 6 passes
  70. Mon May 19 05:52:35 2025 max relations containing the same ideal: 193
  71. Mon May 19 05:53:47 2025 removing 5297178 relations and 3297178 ideals in 2000000 cliques
  72. Mon May 19 05:53:51 2025 commencing in-memory singleton removal
  73. Mon May 19 05:54:06 2025 begin with 82624104 relations and 56257700 unique ideals
  74. Mon May 19 05:55:31 2025 reduce to 82407068 relations and 52738747 ideals in 6 passes
  75. Mon May 19 05:55:31 2025 max relations containing the same ideal: 186
  76. Mon May 19 05:56:40 2025 removing 5115151 relations and 3115151 ideals in 2000000 cliques
  77. Mon May 19 05:56:44 2025 commencing in-memory singleton removal
  78. Mon May 19 05:56:58 2025 begin with 77291917 relations and 52738747 unique ideals
  79. Mon May 19 05:58:17 2025 reduce to 77098047 relations and 49425342 ideals in 6 passes
  80. Mon May 19 05:58:17 2025 max relations containing the same ideal: 178
  81. Mon May 19 05:59:24 2025 removing 4989504 relations and 2989504 ideals in 2000000 cliques
  82. Mon May 19 05:59:27 2025 commencing in-memory singleton removal
  83. Mon May 19 05:59:41 2025 begin with 72108543 relations and 49425342 unique ideals
  84. Mon May 19 06:00:59 2025 reduce to 71928142 relations and 46251311 ideals in 6 passes
  85. Mon May 19 06:00:59 2025 max relations containing the same ideal: 171
  86. Mon May 19 06:02:03 2025 removing 4898808 relations and 2898808 ideals in 2000000 cliques
  87. Mon May 19 06:02:07 2025 commencing in-memory singleton removal
  88. Mon May 19 06:02:19 2025 begin with 67029334 relations and 46251311 unique ideals
  89. Mon May 19 06:03:14 2025 reduce to 66855656 relations and 43174632 ideals in 5 passes
  90. Mon May 19 06:03:14 2025 max relations containing the same ideal: 165
  91. Mon May 19 06:04:12 2025 removing 4826251 relations and 2826251 ideals in 2000000 cliques
  92. Mon May 19 06:04:15 2025 commencing in-memory singleton removal
  93. Mon May 19 06:04:27 2025 begin with 62029405 relations and 43174632 unique ideals
  94. Mon May 19 06:05:35 2025 reduce to 61859567 relations and 40174287 ideals in 6 passes
  95. Mon May 19 06:05:35 2025 max relations containing the same ideal: 158
  96. Mon May 19 06:06:30 2025 removing 4765885 relations and 2765885 ideals in 2000000 cliques
  97. Mon May 19 06:06:33 2025 commencing in-memory singleton removal
  98. Mon May 19 06:06:43 2025 begin with 57093682 relations and 40174287 unique ideals
  99. Mon May 19 06:07:42 2025 reduce to 56923164 relations and 37233197 ideals in 6 passes
  100. Mon May 19 06:07:42 2025 max relations containing the same ideal: 150
  101. Mon May 19 06:08:29 2025 removing 4716531 relations and 2716531 ideals in 2000000 cliques
  102. Mon May 19 06:08:32 2025 commencing in-memory singleton removal
  103. Mon May 19 06:08:42 2025 begin with 52206633 relations and 37233197 unique ideals
  104. Mon May 19 06:09:28 2025 reduce to 52032343 relations and 34337445 ideals in 5 passes
  105. Mon May 19 06:09:28 2025 max relations containing the same ideal: 140
  106. Mon May 19 06:10:14 2025 removing 4675842 relations and 2675842 ideals in 2000000 cliques
  107. Mon May 19 06:10:16 2025 commencing in-memory singleton removal
  108. Mon May 19 06:10:25 2025 begin with 47356501 relations and 34337445 unique ideals
  109. Mon May 19 06:11:07 2025 reduce to 47175857 relations and 31475587 ideals in 5 passes
  110. Mon May 19 06:11:07 2025 max relations containing the same ideal: 132
  111. Mon May 19 06:11:47 2025 removing 4639828 relations and 2639828 ideals in 2000000 cliques
  112. Mon May 19 06:11:50 2025 commencing in-memory singleton removal
  113. Mon May 19 06:11:58 2025 begin with 42536029 relations and 31475587 unique ideals
  114. Mon May 19 06:12:38 2025 reduce to 42347047 relations and 28640689 ideals in 5 passes
  115. Mon May 19 06:12:38 2025 max relations containing the same ideal: 123
  116. Mon May 19 06:13:15 2025 removing 4612789 relations and 2612789 ideals in 2000000 cliques
  117. Mon May 19 06:13:18 2025 commencing in-memory singleton removal
  118. Mon May 19 06:13:25 2025 begin with 37734258 relations and 28640689 unique ideals
  119. Mon May 19 06:14:15 2025 reduce to 37529174 relations and 25815673 ideals in 7 passes
  120. Mon May 19 06:14:15 2025 max relations containing the same ideal: 116
  121. Mon May 19 06:14:51 2025 removing 4590137 relations and 2590137 ideals in 2000000 cliques
  122. Mon May 19 06:14:54 2025 commencing in-memory singleton removal
  123. Mon May 19 06:15:00 2025 begin with 32939037 relations and 25815673 unique ideals
  124. Mon May 19 06:15:41 2025 reduce to 32713938 relations and 22992066 ideals in 6 passes
  125. Mon May 19 06:15:41 2025 max relations containing the same ideal: 103
  126. Mon May 19 06:16:12 2025 removing 4573516 relations and 2573516 ideals in 2000000 cliques
  127. Mon May 19 06:16:15 2025 commencing in-memory singleton removal
  128. Mon May 19 06:16:21 2025 begin with 28140422 relations and 22992066 unique ideals
  129. Mon May 19 06:16:56 2025 reduce to 27885848 relations and 20153358 ideals in 6 passes
  130. Mon May 19 06:16:56 2025 max relations containing the same ideal: 92
  131. Mon May 19 06:17:20 2025 removing 4565788 relations and 2565788 ideals in 2000000 cliques
  132. Mon May 19 06:17:23 2025 commencing in-memory singleton removal
  133. Mon May 19 06:17:27 2025 begin with 23320060 relations and 20153358 unique ideals
  134. Mon May 19 06:17:52 2025 reduce to 23021423 relations and 17274400 ideals in 6 passes
  135. Mon May 19 06:17:52 2025 max relations containing the same ideal: 79
  136. Mon May 19 06:18:12 2025 removing 4563863 relations and 2563863 ideals in 2000000 cliques
  137. Mon May 19 06:18:14 2025 commencing in-memory singleton removal
  138. Mon May 19 06:18:17 2025 begin with 18457560 relations and 17274400 unique ideals
  139. Mon May 19 06:18:40 2025 reduce to 18097377 relations and 14329642 ideals in 7 passes
  140. Mon May 19 06:18:40 2025 max relations containing the same ideal: 71
  141. Mon May 19 06:18:56 2025 removing 4565305 relations and 2565305 ideals in 2000000 cliques
  142. Mon May 19 06:18:58 2025 commencing in-memory singleton removal
  143. Mon May 19 06:19:00 2025 begin with 13532072 relations and 14329642 unique ideals
  144. Mon May 19 06:19:18 2025 reduce to 13077192 relations and 11276242 ideals in 8 passes
  145. Mon May 19 06:19:18 2025 max relations containing the same ideal: 58
  146. Mon May 19 06:19:28 2025 removing 2859029 relations and 1668552 ideals in 1190477 cliques
  147. Mon May 19 06:19:30 2025 commencing in-memory singleton removal
  148. Mon May 19 06:19:31 2025 begin with 10218163 relations and 11276242 unique ideals
  149. Mon May 19 06:19:42 2025 reduce to 9799441 relations and 9157057 ideals in 7 passes
  150. Mon May 19 06:19:42 2025 max relations containing the same ideal: 47
  151. Mon May 19 06:19:50 2025 removing 155320 relations and 123409 ideals in 31911 cliques
  152. Mon May 19 06:19:50 2025 commencing in-memory singleton removal
  153. Mon May 19 06:19:52 2025 begin with 9644121 relations and 9157057 unique ideals
  154. Mon May 19 06:19:59 2025 reduce to 9641192 relations and 9030712 ideals in 5 passes
  155. Mon May 19 06:19:59 2025 max relations containing the same ideal: 47
  156. Mon May 19 06:20:01 2025 relations with 0 large ideals: 1650
  157. Mon May 19 06:20:01 2025 relations with 1 large ideals: 18880
  158. Mon May 19 06:20:02 2025 relations with 2 large ideals: 212223
  159. Mon May 19 06:20:02 2025 relations with 3 large ideals: 926164
  160. Mon May 19 06:20:02 2025 relations with 4 large ideals: 2058390
  161. Mon May 19 06:20:02 2025 relations with 5 large ideals: 2659756
  162. Mon May 19 06:20:02 2025 relations with 6 large ideals: 2175161
  163. Mon May 19 06:20:02 2025 relations with 7+ large ideals: 1588968
  164. Mon May 19 06:20:02 2025 commencing 2-way merge
  165. Mon May 19 06:20:13 2025 reduce to 7188580 relation sets and 6578100 unique ideals
  166. Mon May 19 06:20:13 2025 commencing full merge
  167. Mon May 19 06:25:49 2025 memory use: 794.3 MB
  168. Mon May 19 06:25:52 2025 found 3067301 cycles, need 3042300
  169. Mon May 19 06:25:53 2025 weight of 3042300 cycles is about 395613141 (130.04/cycle)
  170. Mon May 19 06:25:53 2025 distribution of cycle lengths:
  171. Mon May 19 06:25:53 2025 1 relations: 41002
  172. Mon May 19 06:25:53 2025 2 relations: 136407
  173. Mon May 19 06:25:53 2025 3 relations: 197254
  174. Mon May 19 06:25:53 2025 4 relations: 226632
  175. Mon May 19 06:25:53 2025 5 relations: 248767
  176. Mon May 19 06:25:53 2025 6 relations: 249446
  177. Mon May 19 06:25:53 2025 7 relations: 243595
  178. Mon May 19 06:25:53 2025 8 relations: 226066
  179. Mon May 19 06:25:53 2025 9 relations: 208153
  180. Mon May 19 06:25:53 2025 10+ relations: 1264978
  181. Mon May 19 06:25:53 2025 heaviest cycle: 28 relations
  182. Mon May 19 06:25:55 2025 commencing cycle optimization
  183. Mon May 19 06:26:08 2025 start with 28595386 relations
  184. Mon May 19 06:28:59 2025 pruned 1949887 relations
  185. Mon May 19 06:28:59 2025 memory use: 689.7 MB
  186. Mon May 19 06:28:59 2025 distribution of cycle lengths:
  187. Mon May 19 06:28:59 2025 1 relations: 41002
  188. Mon May 19 06:28:59 2025 2 relations: 141446
  189. Mon May 19 06:28:59 2025 3 relations: 209201
  190. Mon May 19 06:28:59 2025 4 relations: 241922
  191. Mon May 19 06:28:59 2025 5 relations: 269447
  192. Mon May 19 06:28:59 2025 6 relations: 270133
  193. Mon May 19 06:28:59 2025 7 relations: 264533
  194. Mon May 19 06:28:59 2025 8 relations: 242864
  195. Mon May 19 06:28:59 2025 9 relations: 221227
  196. Mon May 19 06:28:59 2025 10+ relations: 1140525
  197. Mon May 19 06:28:59 2025 heaviest cycle: 28 relations
  198. Mon May 19 06:29:08 2025 RelProcTime: 8505
  199. Mon May 19 06:29:08 2025
  200. Mon May 19 06:29:08 2025 commencing linear algebra
  201. Mon May 19 06:29:09 2025 read 3042300 cycles
  202. Mon May 19 06:29:22 2025 cycles contain 9379734 unique relations
  203. Mon May 19 06:31:38 2025 read 9379734 relations
  204. Mon May 19 06:32:14 2025 using 20 quadratic characters above 4294917295
  205. Mon May 19 06:33:24 2025 building initial matrix
  206. Mon May 19 06:38:19 2025 memory use: 1325.4 MB
  207. Mon May 19 06:38:25 2025 read 3042300 cycles
  208. Mon May 19 06:38:26 2025 matrix is 3042121 x 3042300 (1484.0 MB) with weight 451126234 (148.28/col)
  209. Mon May 19 06:38:26 2025 sparse part has weight 355544369 (116.87/col)
  210. Mon May 19 06:39:37 2025 filtering completed in 2 passes
  211. Mon May 19 06:39:38 2025 matrix is 3042014 x 3042193 (1483.9 MB) with weight 451120533 (148.29/col)
  212. Mon May 19 06:39:38 2025 sparse part has weight 355542260 (116.87/col)
  213. Mon May 19 06:40:00 2025 matrix starts at (0, 0)
  214. Mon May 19 06:40:01 2025 matrix is 3042014 x 3042193 (1483.9 MB) with weight 451120533 (148.29/col)
  215. Mon May 19 06:40:01 2025 sparse part has weight 355542260 (116.87/col)
  216. Mon May 19 06:40:01 2025 saving the first 48 matrix rows for later
  217. Mon May 19 06:40:03 2025 matrix includes 64 packed rows
  218. Mon May 19 06:40:04 2025 matrix is 3041966 x 3042193 (1443.0 MB) with weight 385680810 (126.78/col)
  219. Mon May 19 06:40:04 2025 sparse part has weight 347862449 (114.35/col)
  220. Mon May 19 06:40:04 2025 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  221. Mon May 19 06:40:34 2025 commencing Lanczos iteration (6 threads)
  222. Mon May 19 06:40:34 2025 memory use: 1187.5 MB
  223. Mon May 19 06:40:50 2025 linear algebra at 0.0%, ETA 8h55m
  224. Mon May 19 06:40:55 2025 checkpointing every 350000 dimensions
  225. Mon May 19 15:57:22 2025 lanczos halted after 48104 iterations (dim = 3041965)
  226. Mon May 19 15:57:28 2025 recovered 28 nontrivial dependencies
  227. Mon May 19 15:57:30 2025 BLanczosTime: 34102
  228. Mon May 19 15:57:30 2025
  229. Mon May 19 15:57:30 2025 commencing square root phase
  230. Mon May 19 15:57:30 2025 handling dependencies 1 to 64
  231. Mon May 19 15:57:30 2025 reading relations for dependency 1
  232. Mon May 19 15:57:31 2025 read 1520769 cycles
  233. Mon May 19 15:57:37 2025 cycles contain 4687768 unique relations
  234. Mon May 19 15:59:11 2025 read 4687768 relations
  235. Mon May 19 15:59:51 2025 multiplying 4687768 relations
  236. Mon May 19 16:07:48 2025 multiply complete, coefficients have about 240.41 million bits
  237. Mon May 19 16:07:50 2025 initial square root is modulo 424189861
  238. Mon May 19 16:17:09 2025 sqrtTime: 1179
  239. Mon May 19 16:17:09 2025 p76 factor: 1107556262795768815790837349508684721873696953692540886355008204914835485637
  240. Mon May 19 16:17:09 2025 p79 factor: 4879256496544981236214328881982204864798598660942505633266580767644833630872113
  241. Mon May 19 16:17:09 2025 elapsed time 12:09:48
  242.  
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