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  1. Wed Apr 16 05:32:20 2025
  2. Wed Apr 16 05:32:20 2025
  3. Wed Apr 16 05:32:20 2025 Msieve v. 1.52 (SVN unknown)
  4. Wed Apr 16 05:32:20 2025 random seeds: a752f60c 9c4a1593
  5. Wed Apr 16 05:32:20 2025 factoring 178838024777075968344903910617402049378625145360950466344079022174113048034909303821193094825886373641611759894318067738590923958549517208641956538536171582934519972044894650623216313253227105201 (195 digits)
  6. Wed Apr 16 05:32:21 2025 no P-1/P+1/ECM available, skipping
  7. Wed Apr 16 05:32:21 2025 commencing number field sieve (195-digit input)
  8. Wed Apr 16 05:32:21 2025 R0: 410186270246002225336426103593500672
  9. Wed Apr 16 05:32:21 2025 R1: -116415321826934814453125
  10. Wed Apr 16 05:32:21 2025 A0: 1
  11. Wed Apr 16 05:32:21 2025 A1: 0
  12. Wed Apr 16 05:32:21 2025 A2: 0
  13. Wed Apr 16 05:32:21 2025 A3: 1
  14. Wed Apr 16 05:32:21 2025 A4: 0
  15. Wed Apr 16 05:32:21 2025 A5: 0
  16. Wed Apr 16 05:32:21 2025 A6: 1
  17. Wed Apr 16 05:32:21 2025 skew 1.00, size 1.516e-010, alpha 1.996, combined = 4.498e-012 rroots = 0
  18. Wed Apr 16 05:32:21 2025
  19. Wed Apr 16 05:32:21 2025 commencing relation filtering
  20. Wed Apr 16 05:32:21 2025 setting target matrix density to 100.0
  21. Wed Apr 16 05:32:21 2025 estimated available RAM is 16289.0 MB
  22. Wed Apr 16 05:32:21 2025 commencing duplicate removal, pass 1
  23. Wed Apr 16 05:33:10 2025 error -9 reading relation 7153724
  24. Wed Apr 16 05:50:18 2025 error -9 reading relation 135914757
  25. Wed Apr 16 05:50:29 2025 error -5 reading relation 136840583
  26. Wed Apr 16 05:50:34 2025 skipped 6 relations with b > 2^32
  27. Wed Apr 16 05:50:34 2025 found 16626552 hash collisions in 137517421 relations
  28. Wed Apr 16 05:50:47 2025 added 2438352 free relations
  29. Wed Apr 16 05:50:47 2025 commencing duplicate removal, pass 2
  30. Wed Apr 16 06:00:22 2025 found 14563755 duplicates and 125392018 unique relations
  31. Wed Apr 16 06:00:22 2025 memory use: 554.4 MB
  32. Wed Apr 16 06:00:23 2025 reading ideals above 66912256
  33. Wed Apr 16 06:00:23 2025 commencing singleton removal, initial pass
  34. Wed Apr 16 06:35:23 2025 memory use: 1506.0 MB
  35. Wed Apr 16 06:35:24 2025 reading all ideals from disk
  36. Wed Apr 16 06:35:55 2025 memory use: 2086.1 MB
  37. Wed Apr 16 06:36:02 2025 commencing in-memory singleton removal
  38. Wed Apr 16 06:36:10 2025 begin with 125392018 relations and 81760207 unique ideals
  39. Wed Apr 16 06:37:10 2025 reduce to 97508695 relations and 52302497 ideals in 9 passes
  40. Wed Apr 16 06:37:10 2025 max relations containing the same ideal: 35
  41. Wed Apr 16 06:37:19 2025 reading ideals above 720000
  42. Wed Apr 16 06:37:20 2025 commencing singleton removal, initial pass
  43. Wed Apr 16 07:07:25 2025 memory use: 1506.0 MB
  44. Wed Apr 16 07:07:26 2025 reading all ideals from disk
  45. Wed Apr 16 07:07:29 2025 memory use: 3560.6 MB
  46. Wed Apr 16 07:07:38 2025 keeping 59703641 ideals with weight <= 200, target excess is 490973
  47. Wed Apr 16 07:07:47 2025 commencing in-memory singleton removal
  48. Wed Apr 16 07:07:54 2025 begin with 97508695 relations and 59703641 unique ideals
  49. Wed Apr 16 07:08:31 2025 reduce to 97508597 relations and 59703543 ideals in 5 passes
  50. Wed Apr 16 07:08:31 2025 max relations containing the same ideal: 200
  51. Wed Apr 16 07:09:06 2025 removing 5897933 relations and 3897933 ideals in 2000000 cliques
  52. Wed Apr 16 07:09:09 2025 commencing in-memory singleton removal
  53. Wed Apr 16 07:09:16 2025 begin with 91610664 relations and 59703543 unique ideals
  54. Wed Apr 16 07:09:54 2025 reduce to 91315642 relations and 55502656 ideals in 5 passes
  55. Wed Apr 16 07:09:54 2025 max relations containing the same ideal: 199
  56. Wed Apr 16 07:10:27 2025 removing 5112686 relations and 3112686 ideals in 2000000 cliques
  57. Wed Apr 16 07:10:29 2025 commencing in-memory singleton removal
  58. Wed Apr 16 07:10:36 2025 begin with 86202956 relations and 55502656 unique ideals
  59. Wed Apr 16 07:11:12 2025 reduce to 86015289 relations and 52197929 ideals in 5 passes
  60. Wed Apr 16 07:11:12 2025 max relations containing the same ideal: 193
  61. Wed Apr 16 07:11:43 2025 removing 4877822 relations and 2877822 ideals in 2000000 cliques
  62. Wed Apr 16 07:11:45 2025 commencing in-memory singleton removal
  63. Wed Apr 16 07:11:55 2025 begin with 81137467 relations and 52197929 unique ideals
  64. Wed Apr 16 07:12:33 2025 reduce to 80984243 relations and 49163360 ideals in 5 passes
  65. Wed Apr 16 07:12:33 2025 max relations containing the same ideal: 187
  66. Wed Apr 16 07:13:05 2025 removing 4746640 relations and 2746640 ideals in 2000000 cliques
  67. Wed Apr 16 07:13:07 2025 commencing in-memory singleton removal
  68. Wed Apr 16 07:13:13 2025 begin with 76237603 relations and 49163360 unique ideals
  69. Wed Apr 16 07:13:50 2025 reduce to 76102298 relations and 46278307 ideals in 5 passes
  70. Wed Apr 16 07:13:50 2025 max relations containing the same ideal: 183
  71. Wed Apr 16 07:14:21 2025 removing 4651432 relations and 2651432 ideals in 2000000 cliques
  72. Wed Apr 16 07:14:22 2025 commencing in-memory singleton removal
  73. Wed Apr 16 07:14:28 2025 begin with 71450866 relations and 46278307 unique ideals
  74. Wed Apr 16 07:15:02 2025 reduce to 71325859 relations and 43498912 ideals in 5 passes
  75. Wed Apr 16 07:15:02 2025 max relations containing the same ideal: 174
  76. Wed Apr 16 07:15:30 2025 removing 4582143 relations and 2582143 ideals in 2000000 cliques
  77. Wed Apr 16 07:15:32 2025 commencing in-memory singleton removal
  78. Wed Apr 16 07:15:37 2025 begin with 66743716 relations and 43498912 unique ideals
  79. Wed Apr 16 07:16:09 2025 reduce to 66624753 relations and 40794992 ideals in 5 passes
  80. Wed Apr 16 07:16:09 2025 max relations containing the same ideal: 171
  81. Wed Apr 16 07:16:35 2025 removing 4522155 relations and 2522155 ideals in 2000000 cliques
  82. Wed Apr 16 07:16:37 2025 commencing in-memory singleton removal
  83. Wed Apr 16 07:16:42 2025 begin with 62102598 relations and 40794992 unique ideals
  84. Wed Apr 16 07:17:11 2025 reduce to 61987863 relations and 38155269 ideals in 5 passes
  85. Wed Apr 16 07:17:11 2025 max relations containing the same ideal: 161
  86. Wed Apr 16 07:17:35 2025 removing 4472403 relations and 2472403 ideals in 2000000 cliques
  87. Wed Apr 16 07:17:36 2025 commencing in-memory singleton removal
  88. Wed Apr 16 07:17:41 2025 begin with 57515460 relations and 38155269 unique ideals
  89. Wed Apr 16 07:18:13 2025 reduce to 57402933 relations and 35567655 ideals in 6 passes
  90. Wed Apr 16 07:18:13 2025 max relations containing the same ideal: 151
  91. Wed Apr 16 07:18:36 2025 removing 4427982 relations and 2427982 ideals in 2000000 cliques
  92. Wed Apr 16 07:18:37 2025 commencing in-memory singleton removal
  93. Wed Apr 16 07:18:41 2025 begin with 52974951 relations and 35567655 unique ideals
  94. Wed Apr 16 07:19:04 2025 reduce to 52862892 relations and 33024831 ideals in 5 passes
  95. Wed Apr 16 07:19:04 2025 max relations containing the same ideal: 141
  96. Wed Apr 16 07:19:23 2025 removing 4387236 relations and 2387236 ideals in 2000000 cliques
  97. Wed Apr 16 07:19:24 2025 commencing in-memory singleton removal
  98. Wed Apr 16 07:19:28 2025 begin with 48475656 relations and 33024831 unique ideals
  99. Wed Apr 16 07:19:48 2025 reduce to 48362778 relations and 30521846 ideals in 5 passes
  100. Wed Apr 16 07:19:48 2025 max relations containing the same ideal: 132
  101. Wed Apr 16 07:20:06 2025 removing 4351899 relations and 2351899 ideals in 2000000 cliques
  102. Wed Apr 16 07:20:07 2025 commencing in-memory singleton removal
  103. Wed Apr 16 07:20:10 2025 begin with 44010879 relations and 30521846 unique ideals
  104. Wed Apr 16 07:20:28 2025 reduce to 43894014 relations and 28049953 ideals in 5 passes
  105. Wed Apr 16 07:20:28 2025 max relations containing the same ideal: 125
  106. Wed Apr 16 07:20:43 2025 removing 4318027 relations and 2318027 ideals in 2000000 cliques
  107. Wed Apr 16 07:20:44 2025 commencing in-memory singleton removal
  108. Wed Apr 16 07:20:47 2025 begin with 39575987 relations and 28049953 unique ideals
  109. Wed Apr 16 07:21:02 2025 reduce to 39453148 relations and 25605684 ideals in 5 passes
  110. Wed Apr 16 07:21:02 2025 max relations containing the same ideal: 117
  111. Wed Apr 16 07:21:14 2025 removing 4285158 relations and 2285158 ideals in 2000000 cliques
  112. Wed Apr 16 07:21:15 2025 commencing in-memory singleton removal
  113. Wed Apr 16 07:21:18 2025 begin with 35167990 relations and 25605684 unique ideals
  114. Wed Apr 16 07:21:31 2025 reduce to 35037186 relations and 23185935 ideals in 5 passes
  115. Wed Apr 16 07:21:31 2025 max relations containing the same ideal: 106
  116. Wed Apr 16 07:21:42 2025 removing 4255663 relations and 2255663 ideals in 2000000 cliques
  117. Wed Apr 16 07:21:43 2025 commencing in-memory singleton removal
  118. Wed Apr 16 07:21:45 2025 begin with 30781523 relations and 23185935 unique ideals
  119. Wed Apr 16 07:21:56 2025 reduce to 30642542 relations and 20787097 ideals in 5 passes
  120. Wed Apr 16 07:21:56 2025 max relations containing the same ideal: 99
  121. Wed Apr 16 07:22:06 2025 removing 4226806 relations and 2226806 ideals in 2000000 cliques
  122. Wed Apr 16 07:22:07 2025 commencing in-memory singleton removal
  123. Wed Apr 16 07:22:08 2025 begin with 26415736 relations and 20787097 unique ideals
  124. Wed Apr 16 07:22:18 2025 reduce to 26265499 relations and 18405054 ideals in 5 passes
  125. Wed Apr 16 07:22:18 2025 max relations containing the same ideal: 86
  126. Wed Apr 16 07:22:25 2025 removing 4195419 relations and 2195419 ideals in 2000000 cliques
  127. Wed Apr 16 07:22:26 2025 commencing in-memory singleton removal
  128. Wed Apr 16 07:22:28 2025 begin with 22070080 relations and 18405054 unique ideals
  129. Wed Apr 16 07:22:36 2025 reduce to 21913373 relations and 16047447 ideals in 5 passes
  130. Wed Apr 16 07:22:36 2025 max relations containing the same ideal: 78
  131. Wed Apr 16 07:22:41 2025 removing 3392975 relations and 1774741 ideals in 1618234 cliques
  132. Wed Apr 16 07:22:42 2025 commencing in-memory singleton removal
  133. Wed Apr 16 07:22:43 2025 begin with 18520398 relations and 16047447 unique ideals
  134. Wed Apr 16 07:22:51 2025 reduce to 18366173 relations and 14112911 ideals in 6 passes
  135. Wed Apr 16 07:22:51 2025 max relations containing the same ideal: 68
  136. Wed Apr 16 07:22:56 2025 removing 2440816 relations and 1293568 ideals in 1147248 cliques
  137. Wed Apr 16 07:22:56 2025 commencing in-memory singleton removal
  138. Wed Apr 16 07:22:57 2025 begin with 15925357 relations and 14112911 unique ideals
  139. Wed Apr 16 07:23:03 2025 reduce to 15767369 relations and 12654918 ideals in 5 passes
  140. Wed Apr 16 07:23:03 2025 max relations containing the same ideal: 62
  141. Wed Apr 16 07:23:07 2025 removing 2275418 relations and 1212857 ideals in 1062561 cliques
  142. Wed Apr 16 07:23:07 2025 commencing in-memory singleton removal
  143. Wed Apr 16 07:23:08 2025 begin with 13491951 relations and 12654918 unique ideals
  144. Wed Apr 16 07:23:14 2025 reduce to 13323480 relations and 11266060 ideals in 6 passes
  145. Wed Apr 16 07:23:14 2025 max relations containing the same ideal: 55
  146. Wed Apr 16 07:23:17 2025 removing 2144866 relations and 1154179 ideals in 990687 cliques
  147. Wed Apr 16 07:23:17 2025 commencing in-memory singleton removal
  148. Wed Apr 16 07:23:18 2025 begin with 11178614 relations and 11266060 unique ideals
  149. Wed Apr 16 07:23:23 2025 reduce to 10986736 relations and 9910354 ideals in 6 passes
  150. Wed Apr 16 07:23:23 2025 max relations containing the same ideal: 48
  151. Wed Apr 16 07:23:25 2025 removing 1192068 relations and 685215 ideals in 506853 cliques
  152. Wed Apr 16 07:23:26 2025 commencing in-memory singleton removal
  153. Wed Apr 16 07:23:26 2025 begin with 9794668 relations and 9910354 unique ideals
  154. Wed Apr 16 07:23:30 2025 reduce to 9654867 relations and 9079300 ideals in 6 passes
  155. Wed Apr 16 07:23:30 2025 max relations containing the same ideal: 45
  156. Wed Apr 16 07:23:34 2025 relations with 0 large ideals: 35378
  157. Wed Apr 16 07:23:34 2025 relations with 1 large ideals: 20701
  158. Wed Apr 16 07:23:34 2025 relations with 2 large ideals: 145409
  159. Wed Apr 16 07:23:34 2025 relations with 3 large ideals: 640160
  160. Wed Apr 16 07:23:34 2025 relations with 4 large ideals: 1584498
  161. Wed Apr 16 07:23:34 2025 relations with 5 large ideals: 2407049
  162. Wed Apr 16 07:23:34 2025 relations with 6 large ideals: 2321285
  163. Wed Apr 16 07:23:34 2025 relations with 7+ large ideals: 2500387
  164. Wed Apr 16 07:23:34 2025 commencing 2-way merge
  165. Wed Apr 16 07:23:39 2025 reduce to 8342857 relation sets and 7767290 unique ideals
  166. Wed Apr 16 07:23:39 2025 commencing full merge
  167. Wed Apr 16 07:26:39 2025 memory use: 906.7 MB
  168. Wed Apr 16 07:26:41 2025 found 3651895 cycles, need 3597490
  169. Wed Apr 16 07:26:41 2025 weight of 3597490 cycles is about 360106412 (100.10/cycle)
  170. Wed Apr 16 07:26:41 2025 distribution of cycle lengths:
  171. Wed Apr 16 07:26:41 2025 1 relations: 135999
  172. Wed Apr 16 07:26:41 2025 2 relations: 246180
  173. Wed Apr 16 07:26:41 2025 3 relations: 318332
  174. Wed Apr 16 07:26:41 2025 4 relations: 330902
  175. Wed Apr 16 07:26:41 2025 5 relations: 330870
  176. Wed Apr 16 07:26:41 2025 6 relations: 312482
  177. Wed Apr 16 07:26:41 2025 7 relations: 288456
  178. Wed Apr 16 07:26:41 2025 8 relations: 259862
  179. Wed Apr 16 07:26:41 2025 9 relations: 229603
  180. Wed Apr 16 07:26:41 2025 10+ relations: 1144804
  181. Wed Apr 16 07:26:41 2025 heaviest cycle: 28 relations
  182. Wed Apr 16 07:26:43 2025 commencing cycle optimization
  183. Wed Apr 16 07:26:49 2025 start with 28393306 relations
  184. Wed Apr 16 07:28:07 2025 pruned 2019801 relations
  185. Wed Apr 16 07:28:07 2025 memory use: 691.0 MB
  186. Wed Apr 16 07:28:07 2025 distribution of cycle lengths:
  187. Wed Apr 16 07:28:07 2025 1 relations: 135999
  188. Wed Apr 16 07:28:07 2025 2 relations: 255687
  189. Wed Apr 16 07:28:07 2025 3 relations: 340696
  190. Wed Apr 16 07:28:07 2025 4 relations: 356698
  191. Wed Apr 16 07:28:07 2025 5 relations: 360868
  192. Wed Apr 16 07:28:07 2025 6 relations: 337840
  193. Wed Apr 16 07:28:07 2025 7 relations: 310758
  194. Wed Apr 16 07:28:07 2025 8 relations: 275893
  195. Wed Apr 16 07:28:07 2025 9 relations: 239465
  196. Wed Apr 16 07:28:07 2025 10+ relations: 983586
  197. Wed Apr 16 07:28:07 2025 heaviest cycle: 27 relations
  198. Wed Apr 16 07:28:13 2025 RelProcTime: 6952
  199. Wed Apr 16 07:28:13 2025
  200. Wed Apr 16 07:28:13 2025 commencing linear algebra
  201. Wed Apr 16 07:28:16 2025 read 3597490 cycles
  202. Wed Apr 16 07:28:25 2025 cycles contain 9422703 unique relations
  203. Wed Apr 16 07:38:17 2025 read 9422703 relations
  204. Wed Apr 16 07:38:31 2025 using 20 quadratic characters above 1073712548
  205. Wed Apr 16 07:39:07 2025 building initial matrix
  206. Wed Apr 16 07:41:23 2025 memory use: 1210.2 MB
  207. Wed Apr 16 07:47:48 2025 read 3597490 cycles
  208. Wed Apr 16 07:47:49 2025 matrix is 3597311 x 3597490 (1401.0 MB) with weight 402525204 (111.89/col)
  209. Wed Apr 16 07:47:50 2025 sparse part has weight 327679753 (91.09/col)
  210. Wed Apr 16 07:48:22 2025 filtering completed in 2 passes
  211. Wed Apr 16 07:48:23 2025 matrix is 3596770 x 3596949 (1400.9 MB) with weight 402499301 (111.90/col)
  212. Wed Apr 16 07:48:23 2025 sparse part has weight 327665618 (91.10/col)
  213. Wed Apr 16 07:48:33 2025 matrix starts at (0, 0)
  214. Wed Apr 16 07:48:34 2025 matrix is 3596770 x 3596949 (1400.9 MB) with weight 402499301 (111.90/col)
  215. Wed Apr 16 07:48:35 2025 sparse part has weight 327665618 (91.10/col)
  216. Wed Apr 16 07:48:36 2025 saving the first 48 matrix rows for later
  217. Wed Apr 16 07:48:39 2025 matrix includes 64 packed rows
  218. Wed Apr 16 07:48:40 2025 matrix is 3596722 x 3596949 (1334.9 MB) with weight 337976101 (93.96/col)
  219. Wed Apr 16 07:48:41 2025 sparse part has weight 313954251 (87.28/col)
  220. Wed Apr 16 07:48:42 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  221. Wed Apr 16 07:48:57 2025 commencing Lanczos iteration (4 threads)
  222. Wed Apr 16 07:48:57 2025 memory use: 1111.7 MB
  223. Wed Apr 16 07:49:16 2025 linear algebra at 0.0%, ETA 11h50m
  224. Wed Apr 16 07:49:22 2025 checkpointing every 310000 dimensions
  225. Wed Apr 16 19:46:59 2025 lanczos halted after 56885 iterations (dim = 3596718)
  226. Wed Apr 16 19:47:02 2025 recovered 36 nontrivial dependencies
  227. Wed Apr 16 19:47:07 2025 BLanczosTime: 44334
  228. Wed Apr 16 19:47:07 2025
  229. Wed Apr 16 19:47:07 2025 commencing square root phase
  230. Wed Apr 16 19:47:08 2025 handling dependencies 1 to 64
  231. Wed Apr 16 19:47:08 2025 reading relations for dependency 1
  232. Wed Apr 16 19:47:08 2025 read 1796862 cycles
  233. Wed Apr 16 19:47:11 2025 cycles contain 4708754 unique relations
  234. Wed Apr 16 19:58:01 2025 read 4708754 relations
  235. Wed Apr 16 19:58:24 2025 multiplying 4708754 relations
  236. Wed Apr 16 20:01:08 2025 multiply complete, coefficients have about 114.41 million bits
  237. Wed Apr 16 20:01:09 2025 initial square root is modulo 163073111
  238. Wed Apr 16 20:04:26 2025 sqrtTime: 1039
  239. Wed Apr 16 20:04:26 2025 prp64 factor: 6605070104698992464257893992255398965894285848767799294806444207
  240. Wed Apr 16 20:04:26 2025 prp131 factor: 27075870799591764437806928170737505982449392601749557707227009715319158582761196059417295726107807363568588799408523244180362774943
  241. Wed Apr 16 20:04:26 2025 elapsed time 14:32:06
  242.  
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