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Oct 3rd, 2024
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  1. Thu Oct 3 17:48:54 2024
  2. Thu Oct 3 17:48:54 2024
  3. Thu Oct 3 17:48:54 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Oct 3 17:48:54 2024 random seeds: 9c9e68b1 fb5be2a6
  5. Thu Oct 3 17:48:54 2024 factoring 775678367819898341234384042702761816904468282140524850968845731650557157200657975222876404575187748596224468407936624993296722181663674632890645152125371814987668958136617948904503093352539 (189 digits)
  6. Thu Oct 3 17:48:55 2024 no P-1/P+1/ECM available, skipping
  7. Thu Oct 3 17:48:55 2024 commencing number field sieve (189-digit input)
  8. Thu Oct 3 17:48:55 2024 R0: 7362050147360474146092222615551752561
  9. Thu Oct 3 17:48:55 2024 R1: -1
  10. Thu Oct 3 17:48:55 2024 A0: -1181
  11. Thu Oct 3 17:48:55 2024 A1: 0
  12. Thu Oct 3 17:48:55 2024 A2: 0
  13. Thu Oct 3 17:48:55 2024 A3: 0
  14. Thu Oct 3 17:48:55 2024 A4: 0
  15. Thu Oct 3 17:48:55 2024 A5: 0
  16. Thu Oct 3 17:48:55 2024 A6: 1
  17. Thu Oct 3 17:48:55 2024 skew 3.25, size 4.531e-11, alpha 0.705, combined = 1.910e-12 rroots = 2
  18. Thu Oct 3 17:48:55 2024
  19. Thu Oct 3 17:48:55 2024 commencing relation filtering
  20. Thu Oct 3 17:48:55 2024 setting target matrix density to 112.0
  21. Thu Oct 3 17:48:55 2024 estimated available RAM is 15960.0 MB
  22. Thu Oct 3 17:48:55 2024 commencing duplicate removal, pass 1
  23. Thu Oct 3 18:00:53 2024 skipped 3 relations with b > 2^32
  24. Thu Oct 3 18:00:53 2024 found 5051180 hash collisions in 107620001 relations
  25. Thu Oct 3 18:01:08 2024 added 1218866 free relations
  26. Thu Oct 3 18:01:08 2024 commencing duplicate removal, pass 2
  27. Thu Oct 3 18:01:35 2024 found 0 duplicates and 108838867 unique relations
  28. Thu Oct 3 18:01:35 2024 memory use: 378.4 MB
  29. Thu Oct 3 18:01:35 2024 reading ideals above 61931520
  30. Thu Oct 3 18:01:35 2024 commencing singleton removal, initial pass
  31. Thu Oct 3 18:10:48 2024 memory use: 2756.0 MB
  32. Thu Oct 3 18:10:49 2024 reading all ideals from disk
  33. Thu Oct 3 18:10:51 2024 memory use: 1894.3 MB
  34. Thu Oct 3 18:10:55 2024 commencing in-memory singleton removal
  35. Thu Oct 3 18:10:58 2024 begin with 108838867 relations and 84530632 unique ideals
  36. Thu Oct 3 18:11:27 2024 reduce to 76779078 relations and 49658308 ideals in 11 passes
  37. Thu Oct 3 18:11:27 2024 max relations containing the same ideal: 56
  38. Thu Oct 3 18:11:30 2024 reading ideals above 720000
  39. Thu Oct 3 18:11:30 2024 commencing singleton removal, initial pass
  40. Thu Oct 3 18:19:57 2024 memory use: 1506.0 MB
  41. Thu Oct 3 18:19:57 2024 reading all ideals from disk
  42. Thu Oct 3 18:20:05 2024 memory use: 2835.5 MB
  43. Thu Oct 3 18:20:12 2024 keeping 56604802 ideals with weight <= 200, target excess is 392546
  44. Thu Oct 3 18:20:19 2024 commencing in-memory singleton removal
  45. Thu Oct 3 18:20:23 2024 begin with 76779078 relations and 56604802 unique ideals
  46. Thu Oct 3 18:20:28 2024 reduce to 76779078 relations and 56604802 ideals in 1 passes
  47. Thu Oct 3 18:20:28 2024 max relations containing the same ideal: 200
  48. Thu Oct 3 18:20:55 2024 removing 7881057 relations and 5881057 ideals in 2000000 cliques
  49. Thu Oct 3 18:20:57 2024 commencing in-memory singleton removal
  50. Thu Oct 3 18:21:02 2024 begin with 68898021 relations and 56604802 unique ideals
  51. Thu Oct 3 18:21:33 2024 reduce to 68246078 relations and 50051069 ideals in 8 passes
  52. Thu Oct 3 18:21:33 2024 max relations containing the same ideal: 194
  53. Thu Oct 3 18:21:57 2024 removing 6342398 relations and 4342398 ideals in 2000000 cliques
  54. Thu Oct 3 18:22:00 2024 commencing in-memory singleton removal
  55. Thu Oct 3 18:22:03 2024 begin with 61903680 relations and 50051069 unique ideals
  56. Thu Oct 3 18:22:27 2024 reduce to 61452506 relations and 45244097 ideals in 7 passes
  57. Thu Oct 3 18:22:27 2024 max relations containing the same ideal: 184
  58. Thu Oct 3 18:22:49 2024 removing 5908353 relations and 3908353 ideals in 2000000 cliques
  59. Thu Oct 3 18:22:52 2024 commencing in-memory singleton removal
  60. Thu Oct 3 18:22:55 2024 begin with 55544153 relations and 45244097 unique ideals
  61. Thu Oct 3 18:23:17 2024 reduce to 55143330 relations and 40922612 ideals in 7 passes
  62. Thu Oct 3 18:23:17 2024 max relations containing the same ideal: 170
  63. Thu Oct 3 18:23:36 2024 removing 5681149 relations and 3681149 ideals in 2000000 cliques
  64. Thu Oct 3 18:23:39 2024 commencing in-memory singleton removal
  65. Thu Oct 3 18:23:42 2024 begin with 49462181 relations and 40922612 unique ideals
  66. Thu Oct 3 18:24:01 2024 reduce to 49076866 relations and 36843665 ideals in 7 passes
  67. Thu Oct 3 18:24:01 2024 max relations containing the same ideal: 160
  68. Thu Oct 3 18:24:18 2024 removing 5542178 relations and 3542178 ideals in 2000000 cliques
  69. Thu Oct 3 18:24:20 2024 commencing in-memory singleton removal
  70. Thu Oct 3 18:24:23 2024 begin with 43534688 relations and 36843665 unique ideals
  71. Thu Oct 3 18:24:41 2024 reduce to 43145620 relations and 32898726 ideals in 8 passes
  72. Thu Oct 3 18:24:41 2024 max relations containing the same ideal: 146
  73. Thu Oct 3 18:24:56 2024 removing 5454140 relations and 3454140 ideals in 2000000 cliques
  74. Thu Oct 3 18:24:58 2024 commencing in-memory singleton removal
  75. Thu Oct 3 18:25:00 2024 begin with 37691480 relations and 32898726 unique ideals
  76. Thu Oct 3 18:25:12 2024 reduce to 37284502 relations and 29021445 ideals in 6 passes
  77. Thu Oct 3 18:25:12 2024 max relations containing the same ideal: 133
  78. Thu Oct 3 18:25:25 2024 removing 5395359 relations and 3395359 ideals in 2000000 cliques
  79. Thu Oct 3 18:25:27 2024 commencing in-memory singleton removal
  80. Thu Oct 3 18:25:29 2024 begin with 31889143 relations and 29021445 unique ideals
  81. Thu Oct 3 18:25:41 2024 reduce to 31446536 relations and 25163806 ideals in 7 passes
  82. Thu Oct 3 18:25:41 2024 max relations containing the same ideal: 120
  83. Thu Oct 3 18:25:52 2024 removing 5352285 relations and 3352285 ideals in 2000000 cliques
  84. Thu Oct 3 18:25:54 2024 commencing in-memory singleton removal
  85. Thu Oct 3 18:25:55 2024 begin with 26094251 relations and 25163806 unique ideals
  86. Thu Oct 3 18:26:04 2024 reduce to 25597474 relations and 21288658 ideals in 7 passes
  87. Thu Oct 3 18:26:04 2024 max relations containing the same ideal: 105
  88. Thu Oct 3 18:26:13 2024 removing 5316453 relations and 3316453 ideals in 2000000 cliques
  89. Thu Oct 3 18:26:15 2024 commencing in-memory singleton removal
  90. Thu Oct 3 18:26:16 2024 begin with 20281021 relations and 21288658 unique ideals
  91. Thu Oct 3 18:26:23 2024 reduce to 19697932 relations and 17351059 ideals in 7 passes
  92. Thu Oct 3 18:26:23 2024 max relations containing the same ideal: 86
  93. Thu Oct 3 18:26:29 2024 removing 5025213 relations and 3133694 ideals in 1891519 cliques
  94. Thu Oct 3 18:26:31 2024 commencing in-memory singleton removal
  95. Thu Oct 3 18:26:32 2024 begin with 14672719 relations and 17351059 unique ideals
  96. Thu Oct 3 18:26:37 2024 reduce to 13979642 relations and 13467839 ideals in 8 passes
  97. Thu Oct 3 18:26:37 2024 max relations containing the same ideal: 68
  98. Thu Oct 3 18:26:42 2024 removing 292746 relations and 236297 ideals in 56449 cliques
  99. Thu Oct 3 18:26:43 2024 commencing in-memory singleton removal
  100. Thu Oct 3 18:26:44 2024 begin with 13686896 relations and 13467839 unique ideals
  101. Thu Oct 3 18:26:47 2024 reduce to 13680784 relations and 13225396 ideals in 5 passes
  102. Thu Oct 3 18:26:47 2024 max relations containing the same ideal: 68
  103. Thu Oct 3 18:26:49 2024 relations with 0 large ideals: 14422
  104. Thu Oct 3 18:26:49 2024 relations with 1 large ideals: 7644
  105. Thu Oct 3 18:26:49 2024 relations with 2 large ideals: 84513
  106. Thu Oct 3 18:26:49 2024 relations with 3 large ideals: 516133
  107. Thu Oct 3 18:26:49 2024 relations with 4 large ideals: 1660840
  108. Thu Oct 3 18:26:49 2024 relations with 5 large ideals: 3132333
  109. Thu Oct 3 18:26:49 2024 relations with 6 large ideals: 3655323
  110. Thu Oct 3 18:26:49 2024 relations with 7+ large ideals: 4609576
  111. Thu Oct 3 18:26:49 2024 commencing 2-way merge
  112. Thu Oct 3 18:26:55 2024 reduce to 9421088 relation sets and 8965700 unique ideals
  113. Thu Oct 3 18:26:55 2024 commencing full merge
  114. Thu Oct 3 18:29:38 2024 memory use: 1192.8 MB
  115. Thu Oct 3 18:29:39 2024 found 4344636 cycles, need 4311900
  116. Thu Oct 3 18:29:40 2024 weight of 4311900 cycles is about 483510114 (112.13/cycle)
  117. Thu Oct 3 18:29:40 2024 distribution of cycle lengths:
  118. Thu Oct 3 18:29:40 2024 1 relations: 136947
  119. Thu Oct 3 18:29:40 2024 2 relations: 248969
  120. Thu Oct 3 18:29:40 2024 3 relations: 321450
  121. Thu Oct 3 18:29:40 2024 4 relations: 349546
  122. Thu Oct 3 18:29:40 2024 5 relations: 366708
  123. Thu Oct 3 18:29:40 2024 6 relations: 365064
  124. Thu Oct 3 18:29:40 2024 7 relations: 351772
  125. Thu Oct 3 18:29:40 2024 8 relations: 327135
  126. Thu Oct 3 18:29:40 2024 9 relations: 296243
  127. Thu Oct 3 18:29:40 2024 10+ relations: 1548066
  128. Thu Oct 3 18:29:40 2024 heaviest cycle: 28 relations
  129. Thu Oct 3 18:29:41 2024 commencing cycle optimization
  130. Thu Oct 3 18:29:49 2024 start with 36499291 relations
  131. Thu Oct 3 18:30:53 2024 pruned 1842780 relations
  132. Thu Oct 3 18:30:53 2024 memory use: 946.7 MB
  133. Thu Oct 3 18:30:53 2024 distribution of cycle lengths:
  134. Thu Oct 3 18:30:53 2024 1 relations: 136947
  135. Thu Oct 3 18:30:53 2024 2 relations: 255905
  136. Thu Oct 3 18:30:53 2024 3 relations: 336564
  137. Thu Oct 3 18:30:53 2024 4 relations: 366683
  138. Thu Oct 3 18:30:53 2024 5 relations: 388835
  139. Thu Oct 3 18:30:53 2024 6 relations: 385593
  140. Thu Oct 3 18:30:53 2024 7 relations: 373120
  141. Thu Oct 3 18:30:53 2024 8 relations: 343413
  142. Thu Oct 3 18:30:53 2024 9 relations: 309052
  143. Thu Oct 3 18:30:53 2024 10+ relations: 1415788
  144. Thu Oct 3 18:30:53 2024 heaviest cycle: 28 relations
  145. Thu Oct 3 18:31:01 2024 RelProcTime: 2526
  146. Thu Oct 3 18:31:01 2024
  147. Thu Oct 3 18:31:01 2024 commencing linear algebra
  148. Thu Oct 3 18:31:01 2024 using VBITS=512
  149. Thu Oct 3 18:31:01 2024 read 4311900 cycles
  150. Thu Oct 3 18:31:09 2024 cycles contain 13464455 unique relations
  151. Thu Oct 3 18:32:13 2024 read 13464455 relations
  152. Thu Oct 3 18:32:28 2024 using 20 quadratic characters above 4294917295
  153. Thu Oct 3 18:33:22 2024 building initial matrix
  154. Thu Oct 3 18:35:54 2024 memory use: 1691.9 MB
  155. Thu Oct 3 18:35:56 2024 read 4311900 cycles
  156. Thu Oct 3 18:35:57 2024 matrix is 4311723 x 4311900 (1890.0 MB) with weight 542809466 (125.89/col)
  157. Thu Oct 3 18:35:57 2024 sparse part has weight 448016447 (103.90/col)
  158. Thu Oct 3 18:36:42 2024 filtering completed in 2 passes
  159. Thu Oct 3 18:36:43 2024 matrix is 4311528 x 4311689 (1890.0 MB) with weight 542800167 (125.89/col)
  160. Thu Oct 3 18:36:43 2024 sparse part has weight 448011932 (103.91/col)
  161. Thu Oct 3 18:36:52 2024 matrix starts at (0, 0)
  162. Thu Oct 3 18:36:52 2024 matrix is 4311528 x 4311689 (1890.0 MB) with weight 542800167 (125.89/col)
  163. Thu Oct 3 18:36:52 2024 sparse part has weight 448011932 (103.91/col)
  164. Thu Oct 3 18:36:52 2024 saving the first 496 matrix rows for later
  165. Thu Oct 3 18:36:53 2024 matrix includes 512 packed rows
  166. Thu Oct 3 18:36:57 2024 matrix is 4311032 x 4311689 (1747.2 MB) with weight 375925922 (87.19/col)
  167. Thu Oct 3 18:36:57 2024 sparse part has weight 354549823 (82.23/col)
  168. Thu Oct 3 18:36:57 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  169. Thu Oct 3 18:36:57 2024 selected card has CUDA arch 8.6
  170. Thu Oct 3 18:37:18 2024 commencing Lanczos iteration
  171. Thu Oct 3 18:37:19 2024 memory use: 4843.2 MB
  172. Thu Oct 3 18:37:34 2024 linear algebra at 0.4%, ETA 1h10m
  173. Thu Oct 3 18:37:34 2024 checkpointing every 3810000 dimensions
  174. Thu Oct 3 19:51:46 2024 lanczos halted after 8434 iterations (dim = 4311030)
  175. Thu Oct 3 19:52:49 2024 recovered 36 nontrivial dependencies
  176. Thu Oct 3 19:52:49 2024 BLanczosTime: 4908
  177. Thu Oct 3 19:52:49 2024
  178. Thu Oct 3 19:52:49 2024 commencing square root phase
  179. Thu Oct 3 19:52:49 2024 handling dependencies 1 to 64
  180. Thu Oct 3 19:52:49 2024 reading relations for dependency 1
  181. Thu Oct 3 19:52:50 2024 read 2156255 cycles
  182. Thu Oct 3 19:52:53 2024 cycles contain 6732144 unique relations
  183. Thu Oct 3 19:53:31 2024 read 6732144 relations
  184. Thu Oct 3 19:53:57 2024 multiplying 6732144 relations
  185. Thu Oct 3 19:57:10 2024 multiply complete, coefficients have about 168.56 million bits
  186. Thu Oct 3 19:57:11 2024 initial square root is modulo 1120081
  187. Thu Oct 3 20:00:46 2024 GCD is 1, no factor found
  188. Thu Oct 3 20:00:46 2024 reading relations for dependency 2
  189. Thu Oct 3 20:00:46 2024 read 2155226 cycles
  190. Thu Oct 3 20:00:49 2024 cycles contain 6727448 unique relations
  191. Thu Oct 3 20:01:28 2024 read 6727448 relations
  192. Thu Oct 3 20:01:54 2024 multiplying 6727448 relations
  193. Thu Oct 3 20:05:05 2024 multiply complete, coefficients have about 168.44 million bits
  194. Thu Oct 3 20:05:06 2024 initial square root is modulo 1109347
  195. Thu Oct 3 20:08:39 2024 GCD is 1, no factor found
  196. Thu Oct 3 20:08:39 2024 reading relations for dependency 3
  197. Thu Oct 3 20:08:39 2024 read 2157377 cycles
  198. Thu Oct 3 20:08:42 2024 cycles contain 6733334 unique relations
  199. Thu Oct 3 20:09:18 2024 read 6733334 relations
  200. Thu Oct 3 20:09:42 2024 multiplying 6733334 relations
  201. Thu Oct 3 20:12:51 2024 multiply complete, coefficients have about 168.59 million bits
  202. Thu Oct 3 20:12:52 2024 initial square root is modulo 1122643
  203. Thu Oct 3 20:16:25 2024 sqrtTime: 1416
  204. Thu Oct 3 20:16:25 2024 p47 factor: 16697622604283171928324954046811793143671648883
  205. Thu Oct 3 20:16:25 2024 p143 factor: 46454419662169515975930176828633966316543315142531155434580477508955767945694295737813090679657284265483664667440609030806084862560538289651833
  206. Thu Oct 3 20:16:25 2024 elapsed time 02:27:31
  207.  
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