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Msieve log of 12m7_321

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May 5th, 2025
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  1. Sat May 03 11:04:49 2025
  2. Sat May 03 11:04:49 2025
  3. Sat May 03 11:04:49 2025 Msieve v. 1.52 (SVN unknown)
  4. Sat May 03 11:04:49 2025 random seeds: 565c4efc f5d6c76b
  5. Sat May 03 11:04:49 2025 factoring 109597132847306151203165047585761869971123474487389503676380820359664369842101044981345320673857500599899666688012889943528188801755915819015803817821867547346680985564761 (171 digits)
  6. Sat May 03 11:04:50 2025 no P-1/P+1/ECM available, skipping
  7. Sat May 03 11:04:50 2025 commencing number field sieve (171-digit input)
  8. Sat May 03 11:04:50 2025 R0: 708801874985091845381344307009569161216
  9. Sat May 03 11:04:50 2025 R1: -2651730845859653471779023381601
  10. Sat May 03 11:04:50 2025 A0: 144
  11. Sat May 03 11:04:50 2025 A1: 0
  12. Sat May 03 11:04:50 2025 A2: 0
  13. Sat May 03 11:04:50 2025 A3: 84
  14. Sat May 03 11:04:50 2025 A4: 0
  15. Sat May 03 11:04:50 2025 A5: 0
  16. Sat May 03 11:04:50 2025 A6: 49
  17. Sat May 03 11:04:50 2025 skew 1.20, size 1.046e-011, alpha -0.442, combined = 6.695e-013 rroots = 0
  18. Sat May 03 11:04:50 2025
  19. Sat May 03 11:04:50 2025 commencing relation filtering
  20. Sat May 03 11:04:50 2025 setting target matrix density to 100.0
  21. Sat May 03 11:04:50 2025 estimated available RAM is 16289.0 MB
  22. Sat May 03 11:04:50 2025 commencing duplicate removal, pass 1
  23. Sat May 03 11:05:09 2025 error -9 reading relation 2936200
  24. Sat May 03 11:05:26 2025 error -15 reading relation 5597679
  25. Sat May 03 11:06:29 2025 error -9 reading relation 15711663
  26. Sat May 03 11:18:22 2025 error -9 reading relation 128329265
  27. Sat May 03 11:18:22 2025 error -15 reading relation 128351147
  28. Sat May 03 11:18:53 2025 error -9 reading relation 131198873
  29. Sat May 03 11:18:53 2025 error -15 reading relation 131213713
  30. Sat May 03 11:18:55 2025 skipped 16 relations with b > 2^32
  31. Sat May 03 11:18:55 2025 found 27206119 hash collisions in 131434634 relations
  32. Sat May 03 11:19:16 2025 added 813062 free relations
  33. Sat May 03 11:19:16 2025 commencing duplicate removal, pass 2
  34. Sat May 03 11:23:37 2025 found 26827964 duplicates and 105419732 unique relations
  35. Sat May 03 11:23:37 2025 memory use: 660.8 MB
  36. Sat May 03 11:23:37 2025 reading ideals above 110034944
  37. Sat May 03 11:23:37 2025 commencing singleton removal, initial pass
  38. Sat May 03 11:37:49 2025 memory use: 1506.0 MB
  39. Sat May 03 11:37:50 2025 reading all ideals from disk
  40. Sat May 03 11:38:19 2025 memory use: 1715.4 MB
  41. Sat May 03 11:38:22 2025 commencing in-memory singleton removal
  42. Sat May 03 11:38:24 2025 begin with 105419732 relations and 80003482 unique ideals
  43. Sat May 03 11:38:58 2025 reduce to 73148963 relations and 44826532 ideals in 13 passes
  44. Sat May 03 11:38:58 2025 max relations containing the same ideal: 42
  45. Sat May 03 11:39:03 2025 reading ideals above 720000
  46. Sat May 03 11:39:04 2025 commencing singleton removal, initial pass
  47. Sat May 03 11:51:33 2025 memory use: 1506.0 MB
  48. Sat May 03 11:51:33 2025 reading all ideals from disk
  49. Sat May 03 11:52:17 2025 memory use: 2772.6 MB
  50. Sat May 03 11:52:24 2025 keeping 57050683 ideals with weight <= 200, target excess is 385978
  51. Sat May 03 11:52:31 2025 commencing in-memory singleton removal
  52. Sat May 03 11:52:37 2025 begin with 73148964 relations and 57050683 unique ideals
  53. Sat May 03 11:53:24 2025 reduce to 73129931 relations and 57031643 ideals in 8 passes
  54. Sat May 03 11:53:24 2025 max relations containing the same ideal: 200
  55. Sat May 03 11:53:54 2025 removing 8316189 relations and 6316189 ideals in 2000000 cliques
  56. Sat May 03 11:53:56 2025 commencing in-memory singleton removal
  57. Sat May 03 11:54:01 2025 begin with 64813742 relations and 57031643 unique ideals
  58. Sat May 03 11:54:37 2025 reduce to 64085794 relations and 49962992 ideals in 7 passes
  59. Sat May 03 11:54:37 2025 max relations containing the same ideal: 192
  60. Sat May 03 11:55:03 2025 removing 6624421 relations and 4624421 ideals in 2000000 cliques
  61. Sat May 03 11:55:05 2025 commencing in-memory singleton removal
  62. Sat May 03 11:55:09 2025 begin with 57461373 relations and 49962992 unique ideals
  63. Sat May 03 11:55:41 2025 reduce to 56956351 relations and 44818146 ideals in 7 passes
  64. Sat May 03 11:55:41 2025 max relations containing the same ideal: 182
  65. Sat May 03 11:56:05 2025 removing 6142945 relations and 4142945 ideals in 2000000 cliques
  66. Sat May 03 11:56:07 2025 commencing in-memory singleton removal
  67. Sat May 03 11:56:11 2025 begin with 50813406 relations and 44818146 unique ideals
  68. Sat May 03 11:56:39 2025 reduce to 50361738 relations and 40208956 ideals in 7 passes
  69. Sat May 03 11:56:39 2025 max relations containing the same ideal: 167
  70. Sat May 03 11:57:00 2025 removing 5886562 relations and 3886562 ideals in 2000000 cliques
  71. Sat May 03 11:57:02 2025 commencing in-memory singleton removal
  72. Sat May 03 11:57:05 2025 begin with 44475176 relations and 40208956 unique ideals
  73. Sat May 03 11:57:29 2025 reduce to 44038993 relations and 35870800 ideals in 7 passes
  74. Sat May 03 11:57:29 2025 max relations containing the same ideal: 150
  75. Sat May 03 11:57:48 2025 removing 5719430 relations and 3719430 ideals in 2000000 cliques
  76. Sat May 03 11:57:49 2025 commencing in-memory singleton removal
  77. Sat May 03 11:57:52 2025 begin with 38319563 relations and 35870800 unique ideals
  78. Sat May 03 11:58:13 2025 reduce to 37881992 relations and 31696750 ideals in 7 passes
  79. Sat May 03 11:58:13 2025 max relations containing the same ideal: 139
  80. Sat May 03 11:58:29 2025 removing 5587212 relations and 3587212 ideals in 2000000 cliques
  81. Sat May 03 11:58:31 2025 commencing in-memory singleton removal
  82. Sat May 03 11:58:33 2025 begin with 32294780 relations and 31696750 unique ideals
  83. Sat May 03 11:58:50 2025 reduce to 31829905 relations and 27624132 ideals in 7 passes
  84. Sat May 03 11:58:50 2025 max relations containing the same ideal: 124
  85. Sat May 03 11:59:04 2025 removing 5490229 relations and 3490229 ideals in 2000000 cliques
  86. Sat May 03 11:59:05 2025 commencing in-memory singleton removal
  87. Sat May 03 11:59:07 2025 begin with 26339676 relations and 27624132 unique ideals
  88. Sat May 03 11:59:21 2025 reduce to 25813566 relations and 23580374 ideals in 7 passes
  89. Sat May 03 11:59:21 2025 max relations containing the same ideal: 105
  90. Sat May 03 11:59:32 2025 removing 4931963 relations and 3146506 ideals in 1785457 cliques
  91. Sat May 03 11:59:33 2025 commencing in-memory singleton removal
  92. Sat May 03 11:59:35 2025 begin with 20881603 relations and 23580374 unique ideals
  93. Sat May 03 11:59:45 2025 reduce to 20313838 relations and 19833383 ideals in 7 passes
  94. Sat May 03 11:59:45 2025 max relations containing the same ideal: 90
  95. Sat May 03 11:59:54 2025 removing 182363 relations and 149643 ideals in 32720 cliques
  96. Sat May 03 11:59:55 2025 commencing in-memory singleton removal
  97. Sat May 03 11:59:56 2025 begin with 20131475 relations and 19833383 unique ideals
  98. Sat May 03 12:00:03 2025 reduce to 20130232 relations and 19682494 ideals in 5 passes
  99. Sat May 03 12:00:03 2025 max relations containing the same ideal: 87
  100. Sat May 03 12:00:07 2025 relations with 0 large ideals: 9594
  101. Sat May 03 12:00:07 2025 relations with 1 large ideals: 4604
  102. Sat May 03 12:00:07 2025 relations with 2 large ideals: 61590
  103. Sat May 03 12:00:07 2025 relations with 3 large ideals: 437669
  104. Sat May 03 12:00:07 2025 relations with 4 large ideals: 1661187
  105. Sat May 03 12:00:07 2025 relations with 5 large ideals: 3753050
  106. Sat May 03 12:00:07 2025 relations with 6 large ideals: 5300518
  107. Sat May 03 12:00:07 2025 relations with 7+ large ideals: 8902020
  108. Sat May 03 12:00:07 2025 commencing 2-way merge
  109. Sat May 03 12:00:19 2025 reduce to 14145269 relation sets and 13697531 unique ideals
  110. Sat May 03 12:00:19 2025 commencing full merge
  111. Sat May 03 12:05:12 2025 memory use: 1715.0 MB
  112. Sat May 03 12:05:15 2025 found 6704623 cycles, need 6651731
  113. Sat May 03 12:05:15 2025 weight of 6651731 cycles is about 665211330 (100.01/cycle)
  114. Sat May 03 12:05:15 2025 distribution of cycle lengths:
  115. Sat May 03 12:05:15 2025 1 relations: 249098
  116. Sat May 03 12:05:15 2025 2 relations: 469019
  117. Sat May 03 12:05:15 2025 3 relations: 595908
  118. Sat May 03 12:05:15 2025 4 relations: 633262
  119. Sat May 03 12:05:15 2025 5 relations: 653104
  120. Sat May 03 12:05:15 2025 6 relations: 634139
  121. Sat May 03 12:05:15 2025 7 relations: 591334
  122. Sat May 03 12:05:15 2025 8 relations: 531529
  123. Sat May 03 12:05:15 2025 9 relations: 461859
  124. Sat May 03 12:05:15 2025 10+ relations: 1832479
  125. Sat May 03 12:05:15 2025 heaviest cycle: 26 relations
  126. Sat May 03 12:05:20 2025 commencing cycle optimization
  127. Sat May 03 12:05:30 2025 start with 49071756 relations
  128. Sat May 03 12:07:23 2025 pruned 2222493 relations
  129. Sat May 03 12:07:23 2025 memory use: 1352.2 MB
  130. Sat May 03 12:07:23 2025 distribution of cycle lengths:
  131. Sat May 03 12:07:23 2025 1 relations: 249098
  132. Sat May 03 12:07:23 2025 2 relations: 482795
  133. Sat May 03 12:07:23 2025 3 relations: 625524
  134. Sat May 03 12:07:23 2025 4 relations: 664025
  135. Sat May 03 12:07:23 2025 5 relations: 690614
  136. Sat May 03 12:07:23 2025 6 relations: 666855
  137. Sat May 03 12:07:23 2025 7 relations: 620498
  138. Sat May 03 12:07:23 2025 8 relations: 549912
  139. Sat May 03 12:07:23 2025 9 relations: 470540
  140. Sat May 03 12:07:23 2025 10+ relations: 1631870
  141. Sat May 03 12:07:23 2025 heaviest cycle: 25 relations
  142. Sat May 03 12:07:33 2025 RelProcTime: 3763
  143. Sat May 03 12:07:33 2025
  144. Sat May 03 12:07:33 2025 commencing linear algebra
  145. Sat May 03 12:07:35 2025 read 6651731 cycles
  146. Sat May 03 12:07:46 2025 cycles contain 19920447 unique relations
  147. Sat May 03 12:11:59 2025 read 19920447 relations
  148. Sat May 03 12:12:30 2025 using 20 quadratic characters above 1073741420
  149. Sat May 03 12:13:49 2025 building initial matrix
  150. Sat May 03 12:17:42 2025 memory use: 2537.8 MB
  151. Sat May 03 12:19:20 2025 read 6651731 cycles
  152. Sat May 03 12:19:22 2025 matrix is 6651552 x 6651731 (2663.6 MB) with weight 763200260 (114.74/col)
  153. Sat May 03 12:19:22 2025 sparse part has weight 625069286 (93.97/col)
  154. Sat May 03 12:20:28 2025 filtering completed in 2 passes
  155. Sat May 03 12:20:30 2025 matrix is 6651233 x 6651412 (2663.5 MB) with weight 763189267 (114.74/col)
  156. Sat May 03 12:20:30 2025 sparse part has weight 625064741 (93.97/col)
  157. Sat May 03 12:21:24 2025 matrix starts at (0, 0)
  158. Sat May 03 12:21:26 2025 matrix is 6651233 x 6651412 (2663.5 MB) with weight 763189267 (114.74/col)
  159. Sat May 03 12:21:26 2025 sparse part has weight 625064741 (93.97/col)
  160. Sat May 03 12:21:26 2025 saving the first 48 matrix rows for later
  161. Sat May 03 12:21:28 2025 matrix includes 64 packed rows
  162. Sat May 03 12:21:30 2025 matrix is 6651185 x 6651412 (2535.8 MB) with weight 646015068 (97.12/col)
  163. Sat May 03 12:21:30 2025 sparse part has weight 598222607 (89.94/col)
  164. Sat May 03 12:21:30 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  165. Sat May 03 12:21:59 2025 commencing Lanczos iteration (4 threads)
  166. Sat May 03 12:21:59 2025 memory use: 2116.4 MB
  167. Sat May 03 12:22:41 2025 linear algebra at 0.0%, ETA 48h40m
  168. Sat May 03 12:22:55 2025 checkpointing every 140000 dimensions
  169. Mon May 05 12:24:18 2025 lanczos halted after 105179 iterations (dim = 6651181)
  170. Mon May 05 12:24:24 2025 recovered 41 nontrivial dependencies
  171. Mon May 05 12:24:27 2025 BLanczosTime: 173814
  172. Mon May 05 12:24:27 2025
  173. Mon May 05 12:24:27 2025 commencing square root phase
  174. Mon May 05 12:24:27 2025 handling dependencies 1 to 64
  175. Mon May 05 12:24:27 2025 reading relations for dependency 1
  176. Mon May 05 12:24:29 2025 read 3325736 cycles
  177. Mon May 05 12:24:34 2025 cycles contain 9958876 unique relations
  178. Mon May 05 12:28:35 2025 read 9958876 relations
  179. Mon May 05 12:29:26 2025 multiplying 9958876 relations
  180. Mon May 05 12:38:39 2025 multiply complete, coefficients have about 303.41 million bits
  181. Mon May 05 12:38:43 2025 initial square root is modulo 278147
  182. Mon May 05 12:49:27 2025 GCD is N, no factor found
  183. Mon May 05 12:49:27 2025 reading relations for dependency 2
  184. Mon May 05 12:49:42 2025 read 3325885 cycles
  185. Mon May 05 12:49:47 2025 cycles contain 9959780 unique relations
  186. Mon May 05 12:53:38 2025 read 9959780 relations
  187. Mon May 05 12:54:28 2025 multiplying 9959780 relations
  188. Mon May 05 13:03:40 2025 multiply complete, coefficients have about 303.44 million bits
  189. Mon May 05 13:03:43 2025 initial square root is modulo 278489
  190. Mon May 05 13:14:24 2025 GCD is N, no factor found
  191. Mon May 05 13:14:24 2025 reading relations for dependency 3
  192. Mon May 05 13:14:39 2025 read 3324866 cycles
  193. Mon May 05 13:14:44 2025 cycles contain 9960080 unique relations
  194. Mon May 05 13:18:47 2025 read 9960080 relations
  195. Mon May 05 13:19:37 2025 multiplying 9960080 relations
  196. Mon May 05 13:28:49 2025 multiply complete, coefficients have about 303.44 million bits
  197. Mon May 05 13:28:53 2025 initial square root is modulo 278489
  198. Mon May 05 13:39:32 2025 Newton iteration failed to converge
  199. Mon May 05 13:39:33 2025 algebraic square root failed
  200. Mon May 05 13:39:33 2025 reading relations for dependency 4
  201. Mon May 05 13:39:46 2025 read 3324572 cycles
  202. Mon May 05 13:39:51 2025 cycles contain 9959458 unique relations
  203. Mon May 05 13:43:48 2025 read 9959458 relations
  204. Mon May 05 13:44:38 2025 multiplying 9959458 relations
  205. Mon May 05 13:53:51 2025 multiply complete, coefficients have about 303.43 million bits
  206. Mon May 05 13:53:54 2025 initial square root is modulo 278321
  207. Mon May 05 14:04:34 2025 Newton iteration failed to converge
  208. Mon May 05 14:04:34 2025 algebraic square root failed
  209. Mon May 05 14:04:34 2025 reading relations for dependency 5
  210. Mon May 05 14:04:49 2025 read 3323487 cycles
  211. Mon May 05 14:04:54 2025 cycles contain 9960234 unique relations
  212. Mon May 05 14:08:42 2025 read 9960234 relations
  213. Mon May 05 14:09:33 2025 multiplying 9960234 relations
  214. Mon May 05 14:18:45 2025 multiply complete, coefficients have about 303.44 million bits
  215. Mon May 05 14:18:49 2025 initial square root is modulo 278489
  216. Mon May 05 14:29:29 2025 Newton iteration failed to converge
  217. Mon May 05 14:29:29 2025 algebraic square root failed
  218. Mon May 05 14:29:29 2025 reading relations for dependency 6
  219. Mon May 05 14:29:44 2025 read 3324086 cycles
  220. Mon May 05 14:29:49 2025 cycles contain 9959454 unique relations
  221. Mon May 05 14:34:07 2025 read 9959454 relations
  222. Mon May 05 14:34:57 2025 multiplying 9959454 relations
  223. Mon May 05 14:44:10 2025 multiply complete, coefficients have about 303.43 million bits
  224. Mon May 05 14:44:13 2025 initial square root is modulo 278321
  225. Mon May 05 14:54:53 2025 Newton iteration failed to converge
  226. Mon May 05 14:54:53 2025 algebraic square root failed
  227. Mon May 05 14:54:53 2025 reading relations for dependency 7
  228. Mon May 05 14:55:09 2025 read 3325012 cycles
  229. Mon May 05 14:55:14 2025 cycles contain 9960070 unique relations
  230. Mon May 05 14:59:03 2025 read 9960070 relations
  231. Mon May 05 14:59:54 2025 multiplying 9960070 relations
  232. Mon May 05 15:09:06 2025 multiply complete, coefficients have about 303.44 million bits
  233. Mon May 05 15:09:09 2025 initial square root is modulo 278501
  234. Mon May 05 15:19:48 2025 GCD is N, no factor found
  235. Mon May 05 15:19:48 2025 reading relations for dependency 8
  236. Mon May 05 15:20:04 2025 read 3328062 cycles
  237. Mon May 05 15:20:09 2025 cycles contain 9967064 unique relations
  238. Mon May 05 15:23:58 2025 read 9967064 relations
  239. Mon May 05 15:24:48 2025 multiplying 9967064 relations
  240. Mon May 05 15:34:02 2025 multiply complete, coefficients have about 303.65 million bits
  241. Mon May 05 15:34:05 2025 initial square root is modulo 280913
  242. Mon May 05 15:44:46 2025 Newton iteration failed to converge
  243. Mon May 05 15:44:46 2025 algebraic square root failed
  244. Mon May 05 15:44:46 2025 reading relations for dependency 9
  245. Mon May 05 15:45:01 2025 read 3326755 cycles
  246. Mon May 05 15:45:06 2025 cycles contain 9962568 unique relations
  247. Mon May 05 15:49:17 2025 read 9962568 relations
  248. Mon May 05 15:50:07 2025 multiplying 9962568 relations
  249. Mon May 05 15:59:19 2025 multiply complete, coefficients have about 303.53 million bits
  250. Mon May 05 15:59:22 2025 initial square root is modulo 279479
  251. Mon May 05 16:10:02 2025 Newton iteration failed to converge
  252. Mon May 05 16:10:02 2025 algebraic square root failed
  253. Mon May 05 16:10:02 2025 reading relations for dependency 10
  254. Mon May 05 16:10:17 2025 read 3326567 cycles
  255. Mon May 05 16:10:22 2025 cycles contain 9965574 unique relations
  256. Mon May 05 16:14:23 2025 read 9965574 relations
  257. Mon May 05 16:15:14 2025 multiplying 9965574 relations
  258. Mon May 05 16:24:28 2025 multiply complete, coefficients have about 303.61 million bits
  259. Mon May 05 16:24:31 2025 initial square root is modulo 280451
  260. Mon May 05 16:35:05 2025 GCD is N, no factor found
  261. Mon May 05 16:35:05 2025 reading relations for dependency 11
  262. Mon May 05 16:35:20 2025 read 3325016 cycles
  263. Mon May 05 16:35:25 2025 cycles contain 9959238 unique relations
  264. Mon May 05 16:39:17 2025 read 9959238 relations
  265. Mon May 05 16:40:08 2025 multiplying 9959238 relations
  266. Mon May 05 16:49:20 2025 multiply complete, coefficients have about 303.41 million bits
  267. Mon May 05 16:49:23 2025 initial square root is modulo 278147
  268. Mon May 05 17:00:16 2025 GCD is N, no factor found
  269. Mon May 05 17:00:16 2025 reading relations for dependency 12
  270. Mon May 05 17:00:31 2025 read 3325881 cycles
  271. Mon May 05 17:00:36 2025 cycles contain 9960984 unique relations
  272. Mon May 05 17:04:30 2025 read 9960984 relations
  273. Mon May 05 17:05:21 2025 multiplying 9960984 relations
  274. Mon May 05 17:14:34 2025 multiply complete, coefficients have about 303.47 million bits
  275. Mon May 05 17:14:37 2025 initial square root is modulo 278813
  276. Mon May 05 17:25:20 2025 sqrtTime: 18053
  277. Mon May 05 17:25:20 2025 prp82 factor: 8395596805278413720660872952534995728043140729468650072732552890362150435664430851
  278. Mon May 05 17:25:20 2025 prp89 factor: 13054120557385640785167234179092108857119510686196853409240711869567596712827079079735411
  279. Mon May 05 17:25:20 2025 elapsed time 54:20:31
  280.  
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