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Jun 18th, 2025
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  1. Wed Jun 18 12:25:32 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Wed Jun 18 12:25:32 2025 random seeds: 5ba0dfcd a746b34e
  3. Wed Jun 18 12:25:32 2025 Using 16 OpenMP threads
  4. Wed Jun 18 12:25:32 2025 factoring 15305180063363531492139119018256605100213226499049815818089417259903912947915882238927654474947917480684727837751546522905448696260386293291517675000991082348832504875370264271856684625919163994505249110193047792247739 (218 digits)
  5. Wed Jun 18 12:25:33 2025 no P-1/P+1/ECM available, skipping
  6. Wed Jun 18 12:25:33 2025 commencing number field sieve (218-digit input)
  7. Wed Jun 18 12:25:33 2025 R0: 9749642970683951745569421134120961862300321
  8. Wed Jun 18 12:25:33 2025 R1: -1
  9. Wed Jun 18 12:25:33 2025 A0: -236387
  10. Wed Jun 18 12:25:33 2025 A1: 0
  11. Wed Jun 18 12:25:33 2025 A2: 0
  12. Wed Jun 18 12:25:33 2025 A3: 0
  13. Wed Jun 18 12:25:33 2025 A4: 0
  14. Wed Jun 18 12:25:33 2025 A5: 0
  15. Wed Jun 18 12:25:33 2025 A6: 1
  16. Wed Jun 18 12:25:33 2025 skew 7.86, size 3.106e-13, alpha 1.840, combined = 5.137e-14 rroots = 2
  17. Wed Jun 18 12:25:33 2025
  18. Wed Jun 18 12:25:33 2025 commencing relation filtering
  19. Wed Jun 18 12:25:33 2025 setting target matrix density to 120.0
  20. Wed Jun 18 12:25:33 2025 estimated available RAM is 128734.6 MB
  21. Wed Jun 18 12:25:33 2025 commencing duplicate removal, pass 1
  22. Wed Jun 18 12:37:49 2025 error -15 reading relation 221166083
  23. Wed Jun 18 12:37:51 2025 skipped 56 relations with b > 2^32
  24. Wed Jun 18 12:37:51 2025 found 10692268 hash collisions in 221710990 relations
  25. Wed Jun 18 12:38:00 2025 added 1217906 free relations
  26. Wed Jun 18 12:38:00 2025 commencing duplicate removal, pass 2
  27. Wed Jun 18 12:39:39 2025 found 0 duplicates and 222928896 unique relations
  28. Wed Jun 18 12:39:39 2025 memory use: 788.8 MB
  29. Wed Jun 18 12:39:39 2025 reading ideals above 720000
  30. Wed Jun 18 12:39:39 2025 commencing singleton removal, initial pass
  31. Wed Jun 18 13:12:59 2025 memory use: 5512.0 MB
  32. Wed Jun 18 13:12:59 2025 reading all ideals from disk
  33. Wed Jun 18 13:13:07 2025 memory use: 11057.1 MB
  34. Wed Jun 18 13:14:00 2025 keeping 208144953 ideals with weight <= 200, target excess is 1161410
  35. Wed Jun 18 13:15:16 2025 commencing in-memory singleton removal
  36. Wed Jun 18 13:15:24 2025 begin with 222928896 relations and 208144953 unique ideals
  37. Wed Jun 18 13:16:48 2025 reduce to 153491622 relations and 134390289 ideals in 16 passes
  38. Wed Jun 18 13:16:48 2025 max relations containing the same ideal: 169
  39. Wed Jun 18 13:18:51 2025 removing 12810362 relations and 10810362 ideals in 2000000 cliques
  40. Wed Jun 18 13:18:58 2025 commencing in-memory singleton removal
  41. Wed Jun 18 13:19:04 2025 begin with 140681260 relations and 134390289 unique ideals
  42. Wed Jun 18 13:19:45 2025 reduce to 139828190 relations and 122712320 ideals in 9 passes
  43. Wed Jun 18 13:19:45 2025 max relations containing the same ideal: 160
  44. Wed Jun 18 13:21:41 2025 removing 9814029 relations and 7814029 ideals in 2000000 cliques
  45. Wed Jun 18 13:21:48 2025 commencing in-memory singleton removal
  46. Wed Jun 18 13:21:54 2025 begin with 130014161 relations and 122712320 unique ideals
  47. Wed Jun 18 13:22:31 2025 reduce to 129444196 relations and 114319814 ideals in 9 passes
  48. Wed Jun 18 13:22:31 2025 max relations containing the same ideal: 148
  49. Wed Jun 18 13:24:20 2025 removing 8907735 relations and 6907735 ideals in 2000000 cliques
  50. Wed Jun 18 13:24:27 2025 commencing in-memory singleton removal
  51. Wed Jun 18 13:24:32 2025 begin with 120536461 relations and 114319814 unique ideals
  52. Wed Jun 18 13:25:05 2025 reduce to 120026088 relations and 106894094 ideals in 8 passes
  53. Wed Jun 18 13:25:05 2025 max relations containing the same ideal: 142
  54. Wed Jun 18 13:26:42 2025 removing 8457045 relations and 6457045 ideals in 2000000 cliques
  55. Wed Jun 18 13:26:49 2025 commencing in-memory singleton removal
  56. Wed Jun 18 13:26:53 2025 begin with 111569043 relations and 106894094 unique ideals
  57. Wed Jun 18 13:27:25 2025 reduce to 111076494 relations and 99936885 ideals in 9 passes
  58. Wed Jun 18 13:27:25 2025 max relations containing the same ideal: 132
  59. Wed Jun 18 13:28:59 2025 removing 8187400 relations and 6187400 ideals in 2000000 cliques
  60. Wed Jun 18 13:29:05 2025 commencing in-memory singleton removal
  61. Wed Jun 18 13:29:09 2025 begin with 102889094 relations and 99936885 unique ideals
  62. Wed Jun 18 13:29:38 2025 reduce to 102392617 relations and 93244952 ideals in 9 passes
  63. Wed Jun 18 13:29:38 2025 max relations containing the same ideal: 126
  64. Wed Jun 18 13:31:03 2025 removing 8032558 relations and 6032558 ideals in 2000000 cliques
  65. Wed Jun 18 13:31:08 2025 commencing in-memory singleton removal
  66. Wed Jun 18 13:31:12 2025 begin with 94360059 relations and 93244952 unique ideals
  67. Wed Jun 18 13:31:36 2025 reduce to 93849201 relations and 86692568 ideals in 8 passes
  68. Wed Jun 18 13:31:36 2025 max relations containing the same ideal: 119
  69. Wed Jun 18 13:32:56 2025 removing 7936261 relations and 5936261 ideals in 2000000 cliques
  70. Wed Jun 18 13:33:01 2025 commencing in-memory singleton removal
  71. Wed Jun 18 13:33:04 2025 begin with 85912940 relations and 86692568 unique ideals
  72. Wed Jun 18 13:33:29 2025 reduce to 85368570 relations and 80201669 ideals in 9 passes
  73. Wed Jun 18 13:33:29 2025 max relations containing the same ideal: 115
  74. Wed Jun 18 13:34:44 2025 removing 7901749 relations and 5901749 ideals in 2000000 cliques
  75. Wed Jun 18 13:34:49 2025 commencing in-memory singleton removal
  76. Wed Jun 18 13:34:52 2025 begin with 77466821 relations and 80201669 unique ideals
  77. Wed Jun 18 13:35:14 2025 reduce to 76877695 relations and 73698903 ideals in 9 passes
  78. Wed Jun 18 13:35:14 2025 max relations containing the same ideal: 107
  79. Wed Jun 18 13:36:20 2025 removing 7371395 relations and 5539839 ideals in 1831556 cliques
  80. Wed Jun 18 13:36:25 2025 commencing in-memory singleton removal
  81. Wed Jun 18 13:36:27 2025 begin with 69506300 relations and 73698903 unique ideals
  82. Wed Jun 18 13:36:46 2025 reduce to 68938447 relations and 67579433 ideals in 8 passes
  83. Wed Jun 18 13:36:46 2025 max relations containing the same ideal: 98
  84. Wed Jun 18 13:37:47 2025 removing 103393 relations and 91615 ideals in 11778 cliques
  85. Wed Jun 18 13:37:50 2025 commencing in-memory singleton removal
  86. Wed Jun 18 13:37:53 2025 begin with 68835054 relations and 67579433 unique ideals
  87. Wed Jun 18 13:38:01 2025 reduce to 68834965 relations and 67487729 ideals in 4 passes
  88. Wed Jun 18 13:38:01 2025 max relations containing the same ideal: 98
  89. Wed Jun 18 13:38:12 2025 relations with 0 large ideals: 44428
  90. Wed Jun 18 13:38:12 2025 relations with 1 large ideals: 14637
  91. Wed Jun 18 13:38:12 2025 relations with 2 large ideals: 196580
  92. Wed Jun 18 13:38:12 2025 relations with 3 large ideals: 1353672
  93. Wed Jun 18 13:38:12 2025 relations with 4 large ideals: 5152693
  94. Wed Jun 18 13:38:12 2025 relations with 5 large ideals: 11909804
  95. Wed Jun 18 13:38:12 2025 relations with 6 large ideals: 17520632
  96. Wed Jun 18 13:38:12 2025 relations with 7+ large ideals: 32642519
  97. Wed Jun 18 13:38:12 2025 commencing 2-way merge
  98. Wed Jun 18 13:39:25 2025 reduce to 44525595 relation sets and 43178359 unique ideals
  99. Wed Jun 18 13:39:25 2025 commencing full merge
  100. Wed Jun 18 14:07:38 2025 memory use: 5670.8 MB
  101. Wed Jun 18 14:07:41 2025 found 20084226 cycles, need 20050559
  102. Wed Jun 18 14:07:45 2025 weight of 20050559 cycles is about 2406176476 (120.01/cycle)
  103. Wed Jun 18 14:07:45 2025 distribution of cycle lengths:
  104. Wed Jun 18 14:07:45 2025 1 relations: 1296790
  105. Wed Jun 18 14:07:45 2025 2 relations: 1458233
  106. Wed Jun 18 14:07:45 2025 3 relations: 1539256
  107. Wed Jun 18 14:07:45 2025 4 relations: 1513245
  108. Wed Jun 18 14:07:45 2025 5 relations: 1490008
  109. Wed Jun 18 14:07:45 2025 6 relations: 1430794
  110. Wed Jun 18 14:07:45 2025 7 relations: 1364818
  111. Wed Jun 18 14:07:45 2025 8 relations: 1285852
  112. Wed Jun 18 14:07:45 2025 9 relations: 1197167
  113. Wed Jun 18 14:07:45 2025 10+ relations: 7474396
  114. Wed Jun 18 14:07:45 2025 heaviest cycle: 28 relations
  115. Wed Jun 18 14:07:48 2025 commencing cycle optimization
  116. Wed Jun 18 14:08:13 2025 start with 170173166 relations
  117. Wed Jun 18 14:11:43 2025 pruned 7319977 relations
  118. Wed Jun 18 14:11:43 2025 memory use: 4586.8 MB
  119. Wed Jun 18 14:11:43 2025 distribution of cycle lengths:
  120. Wed Jun 18 14:11:43 2025 1 relations: 1296790
  121. Wed Jun 18 14:11:43 2025 2 relations: 1493350
  122. Wed Jun 18 14:11:43 2025 3 relations: 1603210
  123. Wed Jun 18 14:11:43 2025 4 relations: 1573234
  124. Wed Jun 18 14:11:43 2025 5 relations: 1558807
  125. Wed Jun 18 14:11:43 2025 6 relations: 1492289
  126. Wed Jun 18 14:11:43 2025 7 relations: 1427196
  127. Wed Jun 18 14:11:43 2025 8 relations: 1336257
  128. Wed Jun 18 14:11:43 2025 9 relations: 1241425
  129. Wed Jun 18 14:11:43 2025 10+ relations: 7028001
  130. Wed Jun 18 14:11:43 2025 heaviest cycle: 28 relations
  131. Wed Jun 18 14:12:03 2025 RelProcTime: 6390
  132. Wed Jun 18 14:12:03 2025 elapsed time 01:46:31
  133. Wed Jun 18 14:12:06 2025
  134. Wed Jun 18 14:12:06 2025
  135. Wed Jun 18 14:12:06 2025 Msieve v. 1.54 (SVN 66ed352)
  136. Wed Jun 18 14:12:06 2025 random seeds: 5653fd4f 4a86abba
  137. Wed Jun 18 14:12:06 2025 MPI process 0 of 2
  138. Wed Jun 18 14:12:06 2025 Using 8 OpenMP threads
  139. Wed Jun 18 14:12:06 2025 factoring 15305180063363531492139119018256605100213226499049815818089417259903912947915882238927654474947917480684727837751546522905448696260386293291517675000991082348832504875370264271856684625919163994505249110193047792247739 (218 digits)
  140. Wed Jun 18 14:12:06 2025 no P-1/P+1/ECM available, skipping
  141. Wed Jun 18 14:12:06 2025 commencing number field sieve (218-digit input)
  142. Wed Jun 18 14:12:06 2025 R0: 9749642970683951745569421134120961862300321
  143. Wed Jun 18 14:12:06 2025 R1: -1
  144. Wed Jun 18 14:12:06 2025 A0: -236387
  145. Wed Jun 18 14:12:06 2025 A1: 0
  146. Wed Jun 18 14:12:06 2025 A2: 0
  147. Wed Jun 18 14:12:06 2025 A3: 0
  148. Wed Jun 18 14:12:06 2025 A4: 0
  149. Wed Jun 18 14:12:06 2025 A5: 0
  150. Wed Jun 18 14:12:06 2025 A6: 1
  151. Wed Jun 18 14:12:06 2025 skew 7.86, size 3.106e-13, alpha 1.840, combined = 5.137e-14 rroots = 2
  152. Wed Jun 18 14:12:06 2025
  153. Wed Jun 18 14:12:06 2025 commencing linear algebra
  154. Wed Jun 18 14:12:06 2025 using VBITS=256
  155. Wed Jun 18 14:12:06 2025 initialized process (0,0) of 1 x 2 grid
  156. Wed Jun 18 14:12:08 2025 read 20050559 cycles
  157. Wed Jun 18 14:12:31 2025 cycles contain 67985422 unique relations
  158. Wed Jun 18 14:13:00 2025 read 67985422 relations
  159. Wed Jun 18 14:13:13 2025 using 20 quadratic characters above 4294917295
  160. Wed Jun 18 14:13:31 2025 building initial matrix
  161. Wed Jun 18 14:21:34 2025 memory use: 8527.1 MB
  162. Wed Jun 18 14:21:43 2025 read 20050559 cycles
  163. Wed Jun 18 14:21:45 2025 matrix is 20050381 x 20050559 (9344.3 MB) with weight 2664204787 (132.87/col)
  164. Wed Jun 18 14:21:45 2025 sparse part has weight 2249047328 (112.17/col)
  165. Wed Jun 18 14:30:42 2025 filtering completed in 2 passes
  166. Wed Jun 18 14:30:50 2025 matrix is 20049935 x 20050106 (9344.3 MB) with weight 2664189552 (132.88/col)
  167. Wed Jun 18 14:30:50 2025 sparse part has weight 2249041785 (112.17/col)
  168. Wed Jun 18 14:32:53 2025 matrix starts at (0, 0)
  169. Wed Jun 18 14:32:55 2025 matrix is 20049935 x 10025035 (4672.1 MB) with weight 1332101385 (132.88/col)
  170. Wed Jun 18 14:32:55 2025 sparse part has weight 1124521055 (112.17/col)
  171. Wed Jun 18 14:32:55 2025 saving the first 240 matrix rows for later
  172. Wed Jun 18 14:32:58 2025 matrix includes 256 packed rows
  173. Wed Jun 18 14:33:06 2025 matrix is 20049695 x 10025035 (4300.6 MB) with weight 1019882310 (101.73/col)
  174. Wed Jun 18 14:33:06 2025 sparse part has weight 966966194 (96.46/col)
  175. Wed Jun 18 14:33:06 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  176. Wed Jun 18 14:33:06 2025 selected card has CUDA arch 8.6
  177. Wed Jun 18 14:37:02 2025 commencing Lanczos iteration
  178. Wed Jun 18 14:37:04 2025 memory use: 10857.4 MB
  179. Wed Jun 18 14:37:43 2025 linear algebra at 0.2%, ETA 6h54m
  180. Wed Jun 18 14:38:38 2025 checking every 40000 dimensions, checkpointing every 3000000 dimensions
  181. Wed Jun 18 21:19:33 2025 lanczos halted after 78554 iterations (dim = 20049693)
  182. Wed Jun 18 21:22:09 2025 recovered 36 nontrivial dependencies
  183. Wed Jun 18 21:22:10 2025 BLanczosTime: 25804
  184. Wed Jun 18 21:22:10 2025 elapsed time 07:10:04
  185. Wed Jun 18 21:54:45 2025
  186. Wed Jun 18 21:54:45 2025
  187. Wed Jun 18 21:54:45 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  188. Wed Jun 18 21:54:45 2025 random seeds: 2500261b e4608732
  189. Wed Jun 18 21:54:45 2025 Using 16 OpenMP threads
  190. Wed Jun 18 21:54:45 2025 factoring 15305180063363531492139119018256605100213226499049815818089417259903912947915882238927654474947917480684727837751546522905448696260386293291517675000991082348832504875370264271856684625919163994505249110193047792247739 (218 digits)
  191. Wed Jun 18 21:54:46 2025 no P-1/P+1/ECM available, skipping
  192. Wed Jun 18 21:54:46 2025 commencing number field sieve (218-digit input)
  193. Wed Jun 18 21:54:46 2025 R0: 9749642970683951745569421134120961862300321
  194. Wed Jun 18 21:54:46 2025 R1: -1
  195. Wed Jun 18 21:54:46 2025 A0: -236387
  196. Wed Jun 18 21:54:46 2025 A1: 0
  197. Wed Jun 18 21:54:46 2025 A2: 0
  198. Wed Jun 18 21:54:46 2025 A3: 0
  199. Wed Jun 18 21:54:46 2025 A4: 0
  200. Wed Jun 18 21:54:46 2025 A5: 0
  201. Wed Jun 18 21:54:46 2025 A6: 1
  202. Wed Jun 18 21:54:46 2025 skew 7.86, size 3.106e-13, alpha 1.840, combined = 5.137e-14 rroots = 2
  203. Wed Jun 18 21:54:46 2025
  204. Wed Jun 18 21:54:46 2025 commencing square root phase
  205. Wed Jun 18 21:54:46 2025 reading relations for dependency 1
  206. Wed Jun 18 21:54:48 2025 read 10020350 cycles
  207. Wed Jun 18 21:55:24 2025 cycles contain 33979436 unique relations
  208. Wed Jun 18 21:57:06 2025 read 33979436 relations
  209. Wed Jun 18 22:01:32 2025 multiplying 33979436 relations
  210. Wed Jun 18 22:05:49 2025 multiply complete, coefficients have about 937.51 million bits
  211. Wed Jun 18 22:05:52 2025 initial square root is modulo 257559271
  212. Wed Jun 18 22:16:11 2025 sqrtTime: 1285
  213. Wed Jun 18 22:16:11 2025 p76 factor: 3583424649496788157844277391244673711875054853468643411481861138569817979137
  214. Wed Jun 18 22:16:11 2025 p142 factor: 4271104197911012780360530198259337549474635182108650322236711540367318235785573418625502359847045545259061302629969793928719632441147013365947
  215. Wed Jun 18 22:16:11 2025 elapsed time 00:21:26
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