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  1. Mon Jul 21 11:47:15 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Mon Jul 21 11:47:15 2025 random seeds: e3ce921e 315f3661
  3. Mon Jul 21 11:47:15 2025 Using 16 OpenMP threads
  4. Mon Jul 21 11:47:15 2025 factoring 183910572229363681795942689674455490278230491740420665264935728692326863895333187494640535819210686643264651254033640621146356672908198740300808479001693982941441545581536905922362299530075640214885542181302288062420014900355013304452905510233972283399 (252 digits)
  5. Mon Jul 21 11:47:16 2025 no P-1/P+1/ECM available, skipping
  6. Mon Jul 21 11:47:16 2025 commencing number field sieve (252-digit input)
  7. Mon Jul 21 11:47:16 2025 R0: 15558391896377829263539523447684150360324090
  8. Mon Jul 21 11:47:16 2025 R1: -3944412744170902465717
  9. Mon Jul 21 11:47:16 2025 A0: -1
  10. Mon Jul 21 11:47:16 2025 A1: 3
  11. Mon Jul 21 11:47:16 2025 A2: 6
  12. Mon Jul 21 11:47:16 2025 A3: -4
  13. Mon Jul 21 11:47:16 2025 A4: -5
  14. Mon Jul 21 11:47:16 2025 A5: 1
  15. Mon Jul 21 11:47:16 2025 A6: 1
  16. Mon Jul 21 11:47:16 2025 skew 1.38, size 1.028e-12, alpha 3.126, combined = 1.158e-13 rroots = 6
  17. Mon Jul 21 11:47:16 2025
  18. Mon Jul 21 11:47:16 2025 commencing relation filtering
  19. Mon Jul 21 11:47:16 2025 setting target matrix density to 120.0
  20. Mon Jul 21 11:47:16 2025 estimated available RAM is 128734.6 MB
  21. Mon Jul 21 11:47:16 2025 commencing duplicate removal, pass 1
  22. Mon Jul 21 11:52:51 2025 skipped 366 relations with b > 2^32
  23. Mon Jul 21 11:52:51 2025 skipped 2 malformed relations
  24. Mon Jul 21 11:52:51 2025 found 13051033 hash collisions in 245748014 relations
  25. Mon Jul 21 11:52:51 2025 commencing duplicate removal, pass 2
  26. Mon Jul 21 11:53:50 2025 found 0 duplicates and 245748014 unique relations
  27. Mon Jul 21 11:53:50 2025 memory use: 788.8 MB
  28. Mon Jul 21 11:53:50 2025 reading ideals above 720000
  29. Mon Jul 21 11:53:50 2025 commencing singleton removal, initial pass
  30. Mon Jul 21 12:09:40 2025 memory use: 6024.0 MB
  31. Mon Jul 21 12:09:40 2025 reading all ideals from disk
  32. Mon Jul 21 12:09:42 2025 memory use: 11950.1 MB
  33. Mon Jul 21 12:10:01 2025 keeping 218389905 ideals with weight <= 200, target excess is 1285693
  34. Mon Jul 21 12:10:21 2025 commencing in-memory singleton removal
  35. Mon Jul 21 12:10:27 2025 begin with 245748014 relations and 218389905 unique ideals
  36. Mon Jul 21 12:11:00 2025 reduce to 167843271 relations and 135461332 ideals in 16 passes
  37. Mon Jul 21 12:11:00 2025 max relations containing the same ideal: 167
  38. Mon Jul 21 12:11:45 2025 removing 11597879 relations and 9597879 ideals in 2000000 cliques
  39. Mon Jul 21 12:11:49 2025 commencing in-memory singleton removal
  40. Mon Jul 21 12:11:52 2025 begin with 156245392 relations and 135461332 unique ideals
  41. Mon Jul 21 12:12:15 2025 reduce to 155619137 relations and 125227408 ideals in 9 passes
  42. Mon Jul 21 12:12:15 2025 max relations containing the same ideal: 159
  43. Mon Jul 21 12:12:56 2025 removing 8848075 relations and 6848075 ideals in 2000000 cliques
  44. Mon Jul 21 12:12:59 2025 commencing in-memory singleton removal
  45. Mon Jul 21 12:13:01 2025 begin with 146771062 relations and 125227408 unique ideals
  46. Mon Jul 21 12:13:14 2025 reduce to 146354077 relations and 117956762 ideals in 9 passes
  47. Mon Jul 21 12:13:14 2025 max relations containing the same ideal: 151
  48. Mon Jul 21 12:13:52 2025 removing 8006669 relations and 6006669 ideals in 2000000 cliques
  49. Mon Jul 21 12:13:56 2025 commencing in-memory singleton removal
  50. Mon Jul 21 12:13:58 2025 begin with 138347408 relations and 117956762 unique ideals
  51. Mon Jul 21 12:14:17 2025 reduce to 137984716 relations and 111582500 ideals in 8 passes
  52. Mon Jul 21 12:14:17 2025 max relations containing the same ideal: 144
  53. Mon Jul 21 12:14:52 2025 removing 7574539 relations and 5574539 ideals in 2000000 cliques
  54. Mon Jul 21 12:14:57 2025 commencing in-memory singleton removal
  55. Mon Jul 21 12:15:00 2025 begin with 130410177 relations and 111582500 unique ideals
  56. Mon Jul 21 12:15:11 2025 reduce to 130068530 relations and 105661577 ideals in 8 passes
  57. Mon Jul 21 12:15:11 2025 max relations containing the same ideal: 138
  58. Mon Jul 21 12:15:47 2025 removing 7301175 relations and 5301175 ideals in 2000000 cliques
  59. Mon Jul 21 12:15:49 2025 commencing in-memory singleton removal
  60. Mon Jul 21 12:15:51 2025 begin with 122767355 relations and 105661577 unique ideals
  61. Mon Jul 21 12:16:01 2025 reduce to 122435236 relations and 100023451 ideals in 9 passes
  62. Mon Jul 21 12:16:01 2025 max relations containing the same ideal: 132
  63. Mon Jul 21 12:16:36 2025 removing 7116124 relations and 5116124 ideals in 2000000 cliques
  64. Mon Jul 21 12:16:38 2025 commencing in-memory singleton removal
  65. Mon Jul 21 12:16:40 2025 begin with 115319112 relations and 100023451 unique ideals
  66. Mon Jul 21 12:16:50 2025 reduce to 114987714 relations and 94570932 ideals in 7 passes
  67. Mon Jul 21 12:16:50 2025 max relations containing the same ideal: 127
  68. Mon Jul 21 12:17:22 2025 removing 6992787 relations and 4992787 ideals in 2000000 cliques
  69. Mon Jul 21 12:17:25 2025 commencing in-memory singleton removal
  70. Mon Jul 21 12:17:26 2025 begin with 107994927 relations and 94570932 unique ideals
  71. Mon Jul 21 12:17:35 2025 reduce to 107659383 relations and 89237377 ideals in 7 passes
  72. Mon Jul 21 12:17:35 2025 max relations containing the same ideal: 122
  73. Mon Jul 21 12:18:06 2025 removing 6908490 relations and 4908490 ideals in 2000000 cliques
  74. Mon Jul 21 12:18:09 2025 commencing in-memory singleton removal
  75. Mon Jul 21 12:18:10 2025 begin with 100750893 relations and 89237377 unique ideals
  76. Mon Jul 21 12:18:18 2025 reduce to 100404892 relations and 83977165 ideals in 7 passes
  77. Mon Jul 21 12:18:18 2025 max relations containing the same ideal: 116
  78. Mon Jul 21 12:18:47 2025 removing 6857447 relations and 4857447 ideals in 2000000 cliques
  79. Mon Jul 21 12:18:50 2025 commencing in-memory singleton removal
  80. Mon Jul 21 12:18:51 2025 begin with 93547445 relations and 83977165 unique ideals
  81. Mon Jul 21 12:18:59 2025 reduce to 93185783 relations and 78751634 ideals in 7 passes
  82. Mon Jul 21 12:18:59 2025 max relations containing the same ideal: 110
  83. Mon Jul 21 12:19:28 2025 removing 6830242 relations and 4830242 ideals in 2000000 cliques
  84. Mon Jul 21 12:19:30 2025 commencing in-memory singleton removal
  85. Mon Jul 21 12:19:31 2025 begin with 86355541 relations and 78751634 unique ideals
  86. Mon Jul 21 12:19:41 2025 reduce to 85971692 relations and 73530285 ideals in 8 passes
  87. Mon Jul 21 12:19:41 2025 max relations containing the same ideal: 105
  88. Mon Jul 21 12:20:04 2025 removing 6831380 relations and 4831380 ideals in 2000000 cliques
  89. Mon Jul 21 12:20:05 2025 commencing in-memory singleton removal
  90. Mon Jul 21 12:20:07 2025 begin with 79140312 relations and 73530285 unique ideals
  91. Mon Jul 21 12:20:11 2025 reduce to 78725883 relations and 68276006 ideals in 7 passes
  92. Mon Jul 21 12:20:11 2025 max relations containing the same ideal: 98
  93. Mon Jul 21 12:20:33 2025 removing 6854215 relations and 4854215 ideals in 2000000 cliques
  94. Mon Jul 21 12:20:37 2025 commencing in-memory singleton removal
  95. Mon Jul 21 12:20:38 2025 begin with 71871668 relations and 68276006 unique ideals
  96. Mon Jul 21 12:20:46 2025 reduce to 71415583 relations and 62955430 ideals in 8 passes
  97. Mon Jul 21 12:20:46 2025 max relations containing the same ideal: 91
  98. Mon Jul 21 12:21:03 2025 removing 6905125 relations and 4905125 ideals in 2000000 cliques
  99. Mon Jul 21 12:21:06 2025 commencing in-memory singleton removal
  100. Mon Jul 21 12:21:07 2025 begin with 64510458 relations and 62955430 unique ideals
  101. Mon Jul 21 12:21:15 2025 reduce to 63998509 relations and 57525866 ideals in 7 passes
  102. Mon Jul 21 12:21:15 2025 max relations containing the same ideal: 85
  103. Mon Jul 21 12:21:31 2025 removing 6983946 relations and 4983946 ideals in 2000000 cliques
  104. Mon Jul 21 12:21:33 2025 commencing in-memory singleton removal
  105. Mon Jul 21 12:21:34 2025 begin with 57014563 relations and 57525866 unique ideals
  106. Mon Jul 21 12:21:45 2025 reduce to 56426288 relations and 51937804 ideals in 11 passes
  107. Mon Jul 21 12:21:45 2025 max relations containing the same ideal: 79
  108. Mon Jul 21 12:22:03 2025 removing 7098931 relations and 5098931 ideals in 2000000 cliques
  109. Mon Jul 21 12:22:05 2025 commencing in-memory singleton removal
  110. Mon Jul 21 12:22:05 2025 begin with 49327357 relations and 51937804 unique ideals
  111. Mon Jul 21 12:22:11 2025 reduce to 48630637 relations and 46120844 ideals in 9 passes
  112. Mon Jul 21 12:22:11 2025 max relations containing the same ideal: 72
  113. Mon Jul 21 12:22:29 2025 removing 4230900 relations and 3212511 ideals in 1018389 cliques
  114. Mon Jul 21 12:22:31 2025 commencing in-memory singleton removal
  115. Mon Jul 21 12:22:32 2025 begin with 44399737 relations and 46120844 unique ideals
  116. Mon Jul 21 12:22:36 2025 reduce to 44116445 relations and 42619922 ideals in 8 passes
  117. Mon Jul 21 12:22:36 2025 max relations containing the same ideal: 66
  118. Mon Jul 21 12:22:51 2025 relations with 0 large ideals: 98396
  119. Mon Jul 21 12:22:51 2025 relations with 1 large ideals: 28548
  120. Mon Jul 21 12:22:51 2025 relations with 2 large ideals: 321800
  121. Mon Jul 21 12:22:51 2025 relations with 3 large ideals: 1826646
  122. Mon Jul 21 12:22:51 2025 relations with 4 large ideals: 5587135
  123. Mon Jul 21 12:22:51 2025 relations with 5 large ideals: 10164660
  124. Mon Jul 21 12:22:51 2025 relations with 6 large ideals: 11540041
  125. Mon Jul 21 12:22:51 2025 relations with 7+ large ideals: 14549219
  126. Mon Jul 21 12:22:51 2025 commencing 2-way merge
  127. Mon Jul 21 12:23:12 2025 reduce to 28125333 relation sets and 26628810 unique ideals
  128. Mon Jul 21 12:23:12 2025 commencing full merge
  129. Mon Jul 21 12:33:08 2025 memory use: 3683.0 MB
  130. Mon Jul 21 12:33:11 2025 found 12678531 cycles, need 12609010
  131. Mon Jul 21 12:33:15 2025 weight of 12609010 cycles is about 1513414497 (120.03/cycle)
  132. Mon Jul 21 12:33:15 2025 distribution of cycle lengths:
  133. Mon Jul 21 12:33:15 2025 1 relations: 773386
  134. Mon Jul 21 12:33:15 2025 2 relations: 828679
  135. Mon Jul 21 12:33:15 2025 3 relations: 869503
  136. Mon Jul 21 12:33:15 2025 4 relations: 862369
  137. Mon Jul 21 12:33:15 2025 5 relations: 868257
  138. Mon Jul 21 12:33:15 2025 6 relations: 850308
  139. Mon Jul 21 12:33:15 2025 7 relations: 832927
  140. Mon Jul 21 12:33:15 2025 8 relations: 802151
  141. Mon Jul 21 12:33:15 2025 9 relations: 762250
  142. Mon Jul 21 12:33:15 2025 10+ relations: 5159180
  143. Mon Jul 21 12:33:15 2025 heaviest cycle: 28 relations
  144. Mon Jul 21 12:33:20 2025 commencing cycle optimization
  145. Mon Jul 21 12:33:45 2025 start with 112765866 relations
  146. Mon Jul 21 12:37:31 2025 pruned 5166215 relations
  147. Mon Jul 21 12:37:31 2025 memory use: 2964.1 MB
  148. Mon Jul 21 12:37:31 2025 distribution of cycle lengths:
  149. Mon Jul 21 12:37:31 2025 1 relations: 773386
  150. Mon Jul 21 12:37:31 2025 2 relations: 845374
  151. Mon Jul 21 12:37:31 2025 3 relations: 901222
  152. Mon Jul 21 12:37:31 2025 4 relations: 895591
  153. Mon Jul 21 12:37:31 2025 5 relations: 908951
  154. Mon Jul 21 12:37:31 2025 6 relations: 891239
  155. Mon Jul 21 12:37:31 2025 7 relations: 876349
  156. Mon Jul 21 12:37:31 2025 8 relations: 843445
  157. Mon Jul 21 12:37:31 2025 9 relations: 800019
  158. Mon Jul 21 12:37:31 2025 10+ relations: 4873434
  159. Mon Jul 21 12:37:31 2025 heaviest cycle: 28 relations
  160. Mon Jul 21 12:37:45 2025 RelProcTime: 3029
  161. Mon Jul 21 12:37:45 2025 elapsed time 00:50:30
  162. Mon Jul 21 13:16:43 2025
  163. Mon Jul 21 13:16:43 2025
  164. Mon Jul 21 13:16:43 2025 Msieve v. 1.54 (SVN 66ed352)
  165. Mon Jul 21 13:16:43 2025 random seeds: d12f96a3 1d998235
  166. Mon Jul 21 13:16:43 2025 MPI process 0 of 2
  167. Mon Jul 21 13:16:43 2025 Using 8 OpenMP threads
  168. Mon Jul 21 13:16:43 2025 factoring 183910572229363681795942689674455490278230491740420665264935728692326863895333187494640535819210686643264651254033640621146356672908198740300808479001693982941441545581536905922362299530075640214885542181302288062420014900355013304452905510233972283399 (252 digits)
  169. Mon Jul 21 13:16:44 2025 no P-1/P+1/ECM available, skipping
  170. Mon Jul 21 13:16:44 2025 commencing number field sieve (252-digit input)
  171. Mon Jul 21 13:16:44 2025 R0: 15558391896377829263539523447684150360324090
  172. Mon Jul 21 13:16:44 2025 R1: -3944412744170902465717
  173. Mon Jul 21 13:16:44 2025 A0: -1
  174. Mon Jul 21 13:16:44 2025 A1: 3
  175. Mon Jul 21 13:16:44 2025 A2: 6
  176. Mon Jul 21 13:16:44 2025 A3: -4
  177. Mon Jul 21 13:16:44 2025 A4: -5
  178. Mon Jul 21 13:16:44 2025 A5: 1
  179. Mon Jul 21 13:16:44 2025 A6: 1
  180. Mon Jul 21 13:16:44 2025 skew 1.38, size 1.028e-12, alpha 3.126, combined = 1.158e-13 rroots = 6
  181. Mon Jul 21 13:16:44 2025
  182. Mon Jul 21 13:16:44 2025 commencing linear algebra
  183. Mon Jul 21 13:16:44 2025 using VBITS=256
  184. Mon Jul 21 13:16:44 2025 initialized process (0,0) of 1 x 2 grid
  185. Mon Jul 21 13:16:46 2025 read 12609010 cycles
  186. Mon Jul 21 13:17:07 2025 cycles contain 43234628 unique relations
  187. Mon Jul 21 13:18:18 2025 read 43234628 relations
  188. Mon Jul 21 13:18:31 2025 using 20 quadratic characters above 4294917295
  189. Mon Jul 21 13:18:53 2025 building initial matrix
  190. Mon Jul 21 13:27:43 2025 memory use: 5376.8 MB
  191. Mon Jul 21 13:27:53 2025 read 12609010 cycles
  192. Mon Jul 21 13:27:55 2025 matrix is 12608833 x 12609010 (5875.9 MB) with weight 1659267118 (131.59/col)
  193. Mon Jul 21 13:27:55 2025 sparse part has weight 1414229720 (112.16/col)
  194. Mon Jul 21 13:30:02 2025 filtering completed in 2 passes
  195. Mon Jul 21 13:30:04 2025 matrix is 12608356 x 12608518 (5875.8 MB) with weight 1659251217 (131.60/col)
  196. Mon Jul 21 13:30:04 2025 sparse part has weight 1414223272 (112.16/col)
  197. Mon Jul 21 13:30:39 2025 matrix starts at (0, 0)
  198. Mon Jul 21 13:30:39 2025 matrix is 12608356 x 6304256 (2937.9 MB) with weight 829629146 (131.60/col)
  199. Mon Jul 21 13:30:39 2025 sparse part has weight 707111831 (112.16/col)
  200. Mon Jul 21 13:30:39 2025 saving the first 240 matrix rows for later
  201. Mon Jul 21 13:30:40 2025 matrix includes 256 packed rows
  202. Mon Jul 21 13:30:43 2025 matrix is 12608116 x 6304256 (2726.2 MB) with weight 645014383 (102.31/col)
  203. Mon Jul 21 13:30:43 2025 sparse part has weight 613788617 (97.36/col)
  204. Mon Jul 21 13:30:43 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  205. Mon Jul 21 13:30:43 2025 selected card has CUDA arch 8.6
  206. Mon Jul 21 13:31:17 2025 commencing Lanczos iteration
  207. Mon Jul 21 13:31:18 2025 memory use: 6871.3 MB
  208. Mon Jul 21 13:31:42 2025 linear algebra at 0.2%, ETA 2h37m
  209. Mon Jul 21 13:32:16 2025 checking every 80000 dimensions, checkpointing every 4880000 dimensions
  210. Mon Jul 21 16:05:40 2025 lanczos halted after 49398 iterations (dim = 12608114)
  211. Mon Jul 21 16:06:14 2025 recovered 33 nontrivial dependencies
  212. Mon Jul 21 16:06:15 2025 BLanczosTime: 10171
  213. Mon Jul 21 16:06:15 2025 elapsed time 02:49:32
  214. Mon Jul 21 16:15:23 2025
  215. Mon Jul 21 16:15:23 2025
  216. Mon Jul 21 16:15:23 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  217. Mon Jul 21 16:15:23 2025 random seeds: f009201a 0625a505
  218. Mon Jul 21 16:15:23 2025 Using 16 OpenMP threads
  219. Mon Jul 21 16:15:23 2025 factoring 183910572229363681795942689674455490278230491740420665264935728692326863895333187494640535819210686643264651254033640621146356672908198740300808479001693982941441545581536905922362299530075640214885542181302288062420014900355013304452905510233972283399 (252 digits)
  220. Mon Jul 21 16:15:25 2025 no P-1/P+1/ECM available, skipping
  221. Mon Jul 21 16:15:25 2025 commencing number field sieve (252-digit input)
  222. Mon Jul 21 16:15:25 2025 R0: 15558391896377829263539523447684150360324090
  223. Mon Jul 21 16:15:25 2025 R1: -3944412744170902465717
  224. Mon Jul 21 16:15:25 2025 A0: -1
  225. Mon Jul 21 16:15:25 2025 A1: 3
  226. Mon Jul 21 16:15:25 2025 A2: 6
  227. Mon Jul 21 16:15:25 2025 A3: -4
  228. Mon Jul 21 16:15:25 2025 A4: -5
  229. Mon Jul 21 16:15:25 2025 A5: 1
  230. Mon Jul 21 16:15:25 2025 A6: 1
  231. Mon Jul 21 16:15:25 2025 skew 1.38, size 1.028e-12, alpha 3.126, combined = 1.158e-13 rroots = 6
  232. Mon Jul 21 16:15:25 2025
  233. Mon Jul 21 16:15:25 2025 commencing square root phase
  234. Mon Jul 21 16:15:25 2025 reading relations for dependency 1
  235. Mon Jul 21 16:15:26 2025 read 6305595 cycles
  236. Mon Jul 21 16:15:38 2025 cycles contain 21613870 unique relations
  237. Mon Jul 21 16:16:19 2025 read 21613870 relations
  238. Mon Jul 21 16:17:31 2025 multiplying 21613870 relations
  239. Mon Jul 21 16:19:07 2025 multiply complete, coefficients have about 556.50 million bits
  240. Mon Jul 21 16:19:09 2025 initial square root is modulo 98347
  241. Mon Jul 21 16:23:15 2025 sqrtTime: 470
  242. Mon Jul 21 16:23:15 2025 p62 factor: 44766988555742076410531536047860811156910673244354265338243739
  243. Mon Jul 21 16:23:15 2025 p190 factor: 4108173861200548268221199450913893564865659183623269113846962817912456010980091984245880840909287069353703113764551975341543662469872835137842902467090733097003617916697690261132332565575941
  244. Mon Jul 21 16:23:15 2025 elapsed time 00:07:52
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