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Jun 6th, 2025
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  1. Mon May 26 12:40:02 2025
  2. Mon May 26 12:40:02 2025
  3. Mon May 26 12:40:02 2025 Msieve v. 1.54 (SVN unknown)
  4. Mon May 26 12:40:02 2025 random seeds: 8079818f 6747d04c
  5. Mon May 26 12:40:02 2025 factoring 1230232838535229494726086333549071074738099007701634786785223152505800440894245416863645652359613117231096151206842246267093639269001597672546574896289909959125376878063825805184812054200397591198097847325447026562263270486297388939893824070050985511 (250 digits)
  6. Mon May 26 12:40:04 2025 no P-1/P+1/ECM available, skipping
  7. Mon May 26 12:40:04 2025 commencing number field sieve (250-digit input)
  8. Mon May 26 12:40:04 2025 R0: 44601490397061246283071436545296723011960832
  9. Mon May 26 12:40:04 2025 R1: -1
  10. Mon May 26 12:40:04 2025 A0: -1
  11. Mon May 26 12:40:04 2025 A1: 0
  12. Mon May 26 12:40:04 2025 A2: 0
  13. Mon May 26 12:40:04 2025 A3: 0
  14. Mon May 26 12:40:04 2025 A4: 0
  15. Mon May 26 12:40:04 2025 A5: 0
  16. Mon May 26 12:40:04 2025 A6: 5
  17. Mon May 26 12:40:04 2025 skew 0.99, size 5.882e-13, alpha 2.301, combined = 7.772e-14 rroots = 2
  18. Mon May 26 12:40:04 2025
  19. Mon May 26 12:40:04 2025 commencing relation filtering
  20. Mon May 26 12:40:04 2025 setting target matrix density to 110.0
  21. Mon May 26 12:40:04 2025 estimated available RAM is 128741.5 MB
  22. Mon May 26 12:40:04 2025 commencing duplicate removal, pass 1
  23. Mon May 26 14:30:42 2025 skipped 1275 relations with b > 2^32
  24. Mon May 26 14:30:42 2025 skipped 1 relations with composite factors
  25. Mon May 26 14:30:42 2025 found 22315511 hash collisions in 453173488 relations
  26. Mon May 26 14:31:10 2025 added 1218700 free relations
  27. Mon May 26 14:31:10 2025 commencing duplicate removal, pass 2
  28. Mon May 26 14:37:01 2025 found 0 duplicates and 454392188 unique relations
  29. Mon May 26 14:37:01 2025 memory use: 1577.5 MB
  30. Mon May 26 14:37:01 2025 reading ideals above 720000
  31. Mon May 26 14:37:01 2025 commencing singleton removal, initial pass
  32. Mon May 26 16:56:29 2025 memory use: 11024.0 MB
  33. Mon May 26 16:56:30 2025 reading all ideals from disk
  34. Mon May 26 16:59:06 2025 memory use: 22357.6 MB
  35. Mon May 26 17:01:49 2025 keeping 436311405 ideals with weight <= 200, target excess is 2469910
  36. Mon May 26 17:07:27 2025 commencing in-memory singleton removal
  37. Mon May 26 17:10:58 2025 begin with 454392188 relations and 436311405 unique ideals
  38. Mon May 26 17:26:43 2025 reduce to 249923683 relations and 206594725 ideals in 15 passes
  39. Mon May 26 17:26:43 2025 max relations containing the same ideal: 145
  40. Mon May 26 17:32:36 2025 removing 14406875 relations and 12406875 ideals in 2000000 cliques
  41. Mon May 26 17:32:56 2025 commencing in-memory singleton removal
  42. Mon May 26 17:34:09 2025 begin with 235516808 relations and 206594725 unique ideals
  43. Mon May 26 17:38:19 2025 reduce to 234898895 relations and 193563062 ideals in 9 passes
  44. Mon May 26 17:38:19 2025 max relations containing the same ideal: 141
  45. Mon May 26 17:42:13 2025 removing 10830151 relations and 8830151 ideals in 2000000 cliques
  46. Mon May 26 17:42:27 2025 commencing in-memory singleton removal
  47. Mon May 26 17:43:35 2025 begin with 224068744 relations and 193563062 unique ideals
  48. Mon May 26 17:47:04 2025 reduce to 223671244 relations and 184331840 ideals in 8 passes
  49. Mon May 26 17:47:04 2025 max relations containing the same ideal: 138
  50. Mon May 26 17:50:31 2025 removing 9706207 relations and 7706207 ideals in 2000000 cliques
  51. Mon May 26 17:50:44 2025 commencing in-memory singleton removal
  52. Mon May 26 17:51:48 2025 begin with 213965037 relations and 184331840 unique ideals
  53. Mon May 26 17:54:46 2025 reduce to 213625782 relations and 176283391 ideals in 7 passes
  54. Mon May 26 17:54:46 2025 max relations containing the same ideal: 133
  55. Mon May 26 17:58:07 2025 removing 9089323 relations and 7089323 ideals in 2000000 cliques
  56. Mon May 26 17:58:19 2025 commencing in-memory singleton removal
  57. Mon May 26 17:59:18 2025 begin with 204536459 relations and 176283391 unique ideals
  58. Mon May 26 18:02:25 2025 reduce to 204220684 relations and 168875426 ideals in 8 passes
  59. Mon May 26 18:02:25 2025 max relations containing the same ideal: 128
  60. Mon May 26 18:05:37 2025 removing 8691206 relations and 6691206 ideals in 2000000 cliques
  61. Mon May 26 18:05:50 2025 commencing in-memory singleton removal
  62. Mon May 26 18:06:45 2025 begin with 195529478 relations and 168875426 unique ideals
  63. Mon May 26 18:09:21 2025 reduce to 195228017 relations and 161879968 ideals in 7 passes
  64. Mon May 26 18:09:21 2025 max relations containing the same ideal: 122
  65. Mon May 26 18:12:27 2025 removing 8407610 relations and 6407610 ideals in 2000000 cliques
  66. Mon May 26 18:12:38 2025 commencing in-memory singleton removal
  67. Mon May 26 18:13:32 2025 begin with 186820407 relations and 161879968 unique ideals
  68. Mon May 26 18:16:00 2025 reduce to 186525605 relations and 155174807 ideals in 7 passes
  69. Mon May 26 18:16:00 2025 max relations containing the same ideal: 120
  70. Mon May 26 18:18:57 2025 removing 8204121 relations and 6204121 ideals in 2000000 cliques
  71. Mon May 26 18:19:06 2025 commencing in-memory singleton removal
  72. Mon May 26 18:19:57 2025 begin with 178321484 relations and 155174807 unique ideals
  73. Mon May 26 18:22:37 2025 reduce to 178029522 relations and 148675790 ideals in 8 passes
  74. Mon May 26 18:22:37 2025 max relations containing the same ideal: 117
  75. Mon May 26 18:25:23 2025 removing 8047565 relations and 6047565 ideals in 2000000 cliques
  76. Mon May 26 18:25:34 2025 commencing in-memory singleton removal
  77. Mon May 26 18:26:22 2025 begin with 169981957 relations and 148675790 unique ideals
  78. Mon May 26 18:28:33 2025 reduce to 169687007 relations and 142330214 ideals in 7 passes
  79. Mon May 26 18:28:33 2025 max relations containing the same ideal: 116
  80. Mon May 26 18:31:11 2025 removing 7931612 relations and 5931612 ideals in 2000000 cliques
  81. Mon May 26 18:31:22 2025 commencing in-memory singleton removal
  82. Mon May 26 18:32:06 2025 begin with 161755395 relations and 142330214 unique ideals
  83. Mon May 26 18:34:10 2025 reduce to 161455697 relations and 136095742 ideals in 7 passes
  84. Mon May 26 18:34:10 2025 max relations containing the same ideal: 114
  85. Mon May 26 18:36:40 2025 removing 7846383 relations and 5846383 ideals in 2000000 cliques
  86. Mon May 26 18:36:49 2025 commencing in-memory singleton removal
  87. Mon May 26 18:37:31 2025 begin with 153609314 relations and 136095742 unique ideals
  88. Mon May 26 18:39:27 2025 reduce to 153303599 relations and 129940197 ideals in 7 passes
  89. Mon May 26 18:39:27 2025 max relations containing the same ideal: 107
  90. Mon May 26 18:41:46 2025 removing 7783068 relations and 5783068 ideals in 2000000 cliques
  91. Mon May 26 18:41:56 2025 commencing in-memory singleton removal
  92. Mon May 26 18:42:34 2025 begin with 145520531 relations and 129940197 unique ideals
  93. Mon May 26 18:44:25 2025 reduce to 145204167 relations and 123836913 ideals in 7 passes
  94. Mon May 26 18:44:25 2025 max relations containing the same ideal: 101
  95. Mon May 26 18:46:43 2025 removing 7742203 relations and 5742203 ideals in 2000000 cliques
  96. Mon May 26 18:46:53 2025 commencing in-memory singleton removal
  97. Mon May 26 18:47:30 2025 begin with 137461964 relations and 123836913 unique ideals
  98. Mon May 26 18:49:17 2025 reduce to 137133300 relations and 117762010 ideals in 7 passes
  99. Mon May 26 18:49:17 2025 max relations containing the same ideal: 99
  100. Mon May 26 18:51:28 2025 removing 7726672 relations and 5726672 ideals in 2000000 cliques
  101. Mon May 26 18:51:35 2025 commencing in-memory singleton removal
  102. Mon May 26 18:52:10 2025 begin with 129406628 relations and 117762010 unique ideals
  103. Mon May 26 18:53:51 2025 reduce to 129060695 relations and 111684946 ideals in 7 passes
  104. Mon May 26 18:53:51 2025 max relations containing the same ideal: 94
  105. Mon May 26 18:55:53 2025 removing 7725204 relations and 5725204 ideals in 2000000 cliques
  106. Mon May 26 18:56:00 2025 commencing in-memory singleton removal
  107. Mon May 26 18:56:33 2025 begin with 121335491 relations and 111684946 unique ideals
  108. Mon May 26 18:58:06 2025 reduce to 120968272 relations and 105587408 ideals in 7 passes
  109. Mon May 26 18:58:06 2025 max relations containing the same ideal: 89
  110. Mon May 26 19:00:00 2025 removing 7735762 relations and 5735762 ideals in 2000000 cliques
  111. Mon May 26 19:00:08 2025 commencing in-memory singleton removal
  112. Mon May 26 19:00:38 2025 begin with 113232510 relations and 105587408 unique ideals
  113. Mon May 26 19:02:05 2025 reduce to 112840872 relations and 99454341 ideals in 7 passes
  114. Mon May 26 19:02:05 2025 max relations containing the same ideal: 85
  115. Mon May 26 19:03:50 2025 removing 7769117 relations and 5769117 ideals in 2000000 cliques
  116. Mon May 26 19:03:58 2025 commencing in-memory singleton removal
  117. Mon May 26 19:04:26 2025 begin with 105071755 relations and 99454341 unique ideals
  118. Mon May 26 19:05:58 2025 reduce to 104647909 relations and 93254799 ideals in 8 passes
  119. Mon May 26 19:05:58 2025 max relations containing the same ideal: 81
  120. Mon May 26 19:07:35 2025 removing 7821488 relations and 5821488 ideals in 2000000 cliques
  121. Mon May 26 19:07:44 2025 commencing in-memory singleton removal
  122. Mon May 26 19:08:10 2025 begin with 96826421 relations and 93254799 unique ideals
  123. Mon May 26 19:09:33 2025 reduce to 96360705 relations and 86959918 ideals in 8 passes
  124. Mon May 26 19:09:33 2025 max relations containing the same ideal: 78
  125. Mon May 26 19:11:04 2025 removing 7897299 relations and 5897299 ideals in 2000000 cliques
  126. Mon May 26 19:11:09 2025 commencing in-memory singleton removal
  127. Mon May 26 19:11:32 2025 begin with 88463406 relations and 86959918 unique ideals
  128. Mon May 26 19:12:58 2025 reduce to 87946089 relations and 80536198 ideals in 9 passes
  129. Mon May 26 19:12:58 2025 max relations containing the same ideal: 74
  130. Mon May 26 19:14:21 2025 removing 8002796 relations and 6002796 ideals in 2000000 cliques
  131. Mon May 26 19:14:26 2025 commencing in-memory singleton removal
  132. Mon May 26 19:14:46 2025 begin with 79943293 relations and 80536198 unique ideals
  133. Mon May 26 19:16:01 2025 reduce to 79352549 relations and 73931240 ideals in 9 passes
  134. Mon May 26 19:16:01 2025 max relations containing the same ideal: 70
  135. Mon May 26 19:17:16 2025 removing 8146851 relations and 6146851 ideals in 2000000 cliques
  136. Mon May 26 19:17:21 2025 commencing in-memory singleton removal
  137. Mon May 26 19:17:39 2025 begin with 71205698 relations and 73931240 unique ideals
  138. Mon May 26 19:18:46 2025 reduce to 70516130 relations and 67079903 ideals in 9 passes
  139. Mon May 26 19:18:46 2025 max relations containing the same ideal: 68
  140. Mon May 26 19:19:51 2025 removing 3069607 relations and 2498476 ideals in 571131 cliques
  141. Mon May 26 19:19:56 2025 commencing in-memory singleton removal
  142. Mon May 26 19:20:13 2025 begin with 67446523 relations and 67079903 unique ideals
  143. Mon May 26 19:21:10 2025 reduce to 67348167 relations and 64482404 ideals in 8 passes
  144. Mon May 26 19:21:10 2025 max relations containing the same ideal: 66
  145. Mon May 26 19:22:24 2025 relations with 0 large ideals: 88085
  146. Mon May 26 19:22:24 2025 relations with 1 large ideals: 128964
  147. Mon May 26 19:22:24 2025 relations with 2 large ideals: 1102139
  148. Mon May 26 19:22:24 2025 relations with 3 large ideals: 4895617
  149. Mon May 26 19:22:24 2025 relations with 4 large ideals: 12124936
  150. Mon May 26 19:22:24 2025 relations with 5 large ideals: 17981563
  151. Mon May 26 19:22:24 2025 relations with 6 large ideals: 16530823
  152. Mon May 26 19:22:24 2025 relations with 7+ large ideals: 14496040
  153. Mon May 26 19:22:24 2025 commencing 2-way merge
  154. Mon May 26 19:23:50 2025 reduce to 41112515 relation sets and 38246752 unique ideals
  155. Mon May 26 19:23:50 2025 commencing full merge
  156. Mon May 26 19:44:12 2025 memory use: 4658.1 MB
  157. Mon May 26 19:44:19 2025 found 18825076 cycles, need 18506952
  158. Mon May 26 19:44:29 2025 weight of 18506952 cycles is about 2035960034 (110.01/cycle)
  159. Mon May 26 19:44:29 2025 distribution of cycle lengths:
  160. Mon May 26 19:44:29 2025 1 relations: 1560038
  161. Mon May 26 19:44:29 2025 2 relations: 1391027
  162. Mon May 26 19:44:29 2025 3 relations: 1391072
  163. Mon May 26 19:44:29 2025 4 relations: 1351371
  164. Mon May 26 19:44:29 2025 5 relations: 1340728
  165. Mon May 26 19:44:29 2025 6 relations: 1319487
  166. Mon May 26 19:44:29 2025 7 relations: 1267649
  167. Mon May 26 19:44:29 2025 8 relations: 1213443
  168. Mon May 26 19:44:29 2025 9 relations: 1137765
  169. Mon May 26 19:44:29 2025 10+ relations: 6534372
  170. Mon May 26 19:44:29 2025 heaviest cycle: 26 relations
  171. Mon May 26 19:44:39 2025 commencing cycle optimization
  172. Mon May 26 19:45:40 2025 start with 147563107 relations
  173. Mon May 26 19:53:08 2025 pruned 5441409 relations
  174. Mon May 26 19:53:08 2025 memory use: 4233.3 MB
  175. Mon May 26 19:53:09 2025 distribution of cycle lengths:
  176. Mon May 26 19:53:09 2025 1 relations: 1560038
  177. Mon May 26 19:53:09 2025 2 relations: 1422035
  178. Mon May 26 19:53:09 2025 3 relations: 1441716
  179. Mon May 26 19:53:09 2025 4 relations: 1399018
  180. Mon May 26 19:53:09 2025 5 relations: 1396739
  181. Mon May 26 19:53:09 2025 6 relations: 1371153
  182. Mon May 26 19:53:09 2025 7 relations: 1321789
  183. Mon May 26 19:53:09 2025 8 relations: 1260322
  184. Mon May 26 19:53:09 2025 9 relations: 1179230
  185. Mon May 26 19:53:09 2025 10+ relations: 6154912
  186. Mon May 26 19:53:09 2025 heaviest cycle: 26 relations
  187. Mon May 26 19:54:01 2025 RelProcTime: 26037
  188. Mon May 26 19:54:01 2025 elapsed time 07:13:59
  189. Thu May 29 19:05:58 2025
  190. Thu May 29 19:05:58 2025
  191. Thu May 29 19:05:58 2025 Msieve v. 1.54 (SVN unknown)
  192. Thu May 29 19:05:58 2025 random seeds: 1b4f90c0 76c56c3e
  193. Thu May 29 19:05:58 2025 factoring 1230232838535229494726086333549071074738099007701634786785223152505800440894245416863645652359613117231096151206842246267093639269001597672546574896289909959125376878063825805184812054200397591198097847325447026562263270486297388939893824070050985511 (250 digits)
  194. Thu May 29 19:06:00 2025 no P-1/P+1/ECM available, skipping
  195. Thu May 29 19:06:00 2025 commencing number field sieve (250-digit input)
  196. Thu May 29 19:06:00 2025 R0: 44601490397061246283071436545296723011960832
  197. Thu May 29 19:06:00 2025 R1: -1
  198. Thu May 29 19:06:00 2025 A0: -1
  199. Thu May 29 19:06:00 2025 A1: 0
  200. Thu May 29 19:06:00 2025 A2: 0
  201. Thu May 29 19:06:00 2025 A3: 0
  202. Thu May 29 19:06:00 2025 A4: 0
  203. Thu May 29 19:06:00 2025 A5: 0
  204. Thu May 29 19:06:00 2025 A6: 5
  205. Thu May 29 19:06:00 2025 skew 0.99, size 5.882e-13, alpha 2.301, combined = 7.772e-14 rroots = 2
  206. Thu May 29 19:06:00 2025
  207. Thu May 29 19:06:00 2025 commencing linear algebra
  208. Thu May 29 19:06:00 2025 using VBITS=128
  209. Thu May 29 19:06:04 2025 read 18506952 cycles
  210. Thu May 29 19:07:17 2025 cycles contain 65636365 unique relations
  211. Thu May 29 20:17:35 2025 read 65636365 relations
  212. Thu May 29 20:20:22 2025 using 20 quadratic characters above 4294917295
  213. Thu May 29 20:27:26 2025 building initial matrix
  214. Thu May 29 20:51:39 2025 memory use: 7977.7 MB
  215. Thu May 29 20:51:58 2025 read 18506952 cycles
  216. Thu May 29 20:52:01 2025 matrix is 18506766 x 18506952 (8029.1 MB) with weight 2281638132 (123.29/col)
  217. Thu May 29 20:52:01 2025 sparse part has weight 1919699001 (103.73/col)
  218. Thu May 29 20:59:24 2025 filtering completed in 2 passes
  219. Thu May 29 20:59:29 2025 matrix is 18502674 x 18502856 (8028.6 MB) with weight 2281488987 (123.30/col)
  220. Thu May 29 20:59:29 2025 sparse part has weight 1919630502 (103.75/col)
  221. Thu May 29 21:01:30 2025 matrix starts at (0, 0)
  222. Thu May 29 21:01:33 2025 matrix is 18502674 x 18502856 (8028.6 MB) with weight 2281488987 (123.30/col)
  223. Thu May 29 21:01:33 2025 sparse part has weight 1919630502 (103.75/col)
  224. Thu May 29 21:01:33 2025 saving the first 112 matrix rows for later
  225. Thu May 29 21:01:40 2025 matrix includes 128 packed rows
  226. Thu May 29 21:01:47 2025 matrix is 18502562 x 18502856 (7526.0 MB) with weight 1845262632 (99.73/col)
  227. Thu May 29 21:01:47 2025 sparse part has weight 1750850693 (94.63/col)
  228. Thu May 29 21:01:47 2025 using GPU 0 (Tesla P100-PCIE-16GB)
  229. Thu May 29 21:01:47 2025 selected card has CUDA arch 6.0
  230. Thu May 29 21:08:07 2025 commencing Lanczos iteration
  231. Thu May 29 21:08:08 2025 memory use: 15898.9 MB
  232. Thu May 29 21:18:22 2025 linear algebra at 0.2%, ETA 102h48m
  233. Thu May 29 21:20:56 2025 checking every 10000 dimensions, checkpointing every 190000 dimensions
  234. Tue Jun 3 03:21:33 2025 lanczos halted after 145421 iterations (dim = 18502562)
  235. Tue Jun 3 03:27:21 2025 recovered 37 nontrivial dependencies
  236. Tue Jun 3 03:27:30 2025 BLanczosTime: 375690
  237. Tue Jun 3 03:27:30 2025
  238. Tue Jun 3 03:27:30 2025 commencing square root phase
  239. Tue Jun 3 03:27:30 2025 handling dependencies 1 to 64
  240. Tue Jun 3 03:27:30 2025 reading relations for dependency 1
  241. Tue Jun 3 03:54:47 2025 read 9251804 cycles
  242. Tue Jun 3 03:55:27 2025 cycles contain 32814688 unique relations
  243. Tue Jun 3 04:03:35 2025 read 32814688 relations
  244. Tue Jun 3 04:08:32 2025 multiplying 32814688 relations
  245. Tue Jun 3 05:02:18 2025 multiply complete, coefficients have about 918.61 million bits
  246. Tue Jun 3 05:02:24 2025 initial square root is modulo 174315217
  247. Tue Jun 3 05:52:04 2025 sqrtTime: 8674
  248. Tue Jun 3 05:52:04 2025 p112 factor: 5539419983185596554352001226445037592545508796708511049128141146910533034611592966327647274541708686067162785699
  249. Tue Jun 3 05:52:04 2025 p138 factor: 222086940919715226388316749748220572020506996884195566437001141683714606067917807547360854307147275641789509006215355421745819878263631789
  250. Tue Jun 3 05:52:04 2025 elapsed time 106:46:06
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