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  1. Mon Sep 8 13:11:22 2025 Msieve v. 1.54 (SVN 66ed352)
  2. Mon Sep 8 13:11:22 2025 random seeds: 40ec955e c7455e1e
  3. Mon Sep 8 13:11:22 2025 Using 16 OpenMP threads
  4. Mon Sep 8 13:11:22 2025 factoring 14432189471766104232603113047283300195535265243920214070341286735364933437677429498245819776785758721608399875702432860155136791341415933241212996484422154479371158578063255399463236337448748643377255903386553921883542289780108523 (230 digits)
  5. Mon Sep 8 13:11:22 2025 no P-1/P+1/ECM available, skipping
  6. Mon Sep 8 13:11:22 2025 commencing number field sieve (230-digit input)
  7. Mon Sep 8 13:11:22 2025 R0: -1
  8. Mon Sep 8 13:11:22 2025 R1: 47080316792773814597255908594639398726252540480961
  9. Mon Sep 8 13:11:22 2025 A0: -1618471
  10. Mon Sep 8 13:11:22 2025 A1: 0
  11. Mon Sep 8 13:11:22 2025 A2: 0
  12. Mon Sep 8 13:11:22 2025 A3: 0
  13. Mon Sep 8 13:11:22 2025 A4: 0
  14. Mon Sep 8 13:11:22 2025 A5: 1
  15. Mon Sep 8 13:11:22 2025 skew 1.00, size 5.103e-18, alpha 0.863, combined = 2.706e-14 rroots = 1
  16. Mon Sep 8 13:11:22 2025
  17. Mon Sep 8 13:11:22 2025 commencing relation filtering
  18. Mon Sep 8 13:11:22 2025 setting target matrix density to 100.0
  19. Mon Sep 8 13:11:22 2025 estimated available RAM is 128734.6 MB
  20. Mon Sep 8 13:11:22 2025 commencing duplicate removal, pass 1
  21. Mon Sep 8 13:13:07 2025 error -11 reading relation 212543542
  22. Mon Sep 8 13:13:07 2025 error -11 reading relation 212546581
  23. Mon Sep 8 13:13:10 2025 error -15 reading relation 218710130
  24. Mon Sep 8 13:13:30 2025 skipped 74 relations with b > 2^32
  25. Mon Sep 8 13:13:30 2025 skipped 1 malformed relations
  26. Mon Sep 8 13:13:30 2025 found 14389554 hash collisions in 258576081 relations
  27. Mon Sep 8 13:13:43 2025 added 732445 free relations
  28. Mon Sep 8 13:13:43 2025 commencing duplicate removal, pass 2
  29. Mon Sep 8 13:14:31 2025 found 0 duplicates and 259308526 unique relations
  30. Mon Sep 8 13:14:31 2025 memory use: 852.8 MB
  31. Mon Sep 8 13:14:31 2025 reading ideals above 720000
  32. Mon Sep 8 13:14:31 2025 commencing singleton removal, initial pass
  33. Mon Sep 8 13:22:49 2025 memory use: 6024.0 MB
  34. Mon Sep 8 13:22:49 2025 reading all ideals from disk
  35. Mon Sep 8 13:22:51 2025 memory use: 12844.7 MB
  36. Mon Sep 8 13:23:02 2025 keeping 225674377 ideals with weight <= 200, target excess is 1321967
  37. Mon Sep 8 13:23:17 2025 commencing in-memory singleton removal
  38. Mon Sep 8 13:23:22 2025 begin with 259308526 relations and 225674377 unique ideals
  39. Mon Sep 8 13:23:48 2025 reduce to 224027942 relations and 189408681 ideals in 14 passes
  40. Mon Sep 8 13:23:48 2025 max relations containing the same ideal: 190
  41. Mon Sep 8 13:24:27 2025 removing 13506635 relations and 11506635 ideals in 2000000 cliques
  42. Mon Sep 8 13:24:31 2025 commencing in-memory singleton removal
  43. Mon Sep 8 13:24:34 2025 begin with 210521307 relations and 189408681 unique ideals
  44. Mon Sep 8 13:24:50 2025 reduce to 209894779 relations and 177268002 ideals in 9 passes
  45. Mon Sep 8 13:24:50 2025 max relations containing the same ideal: 186
  46. Mon Sep 8 13:25:26 2025 removing 10224063 relations and 8224063 ideals in 2000000 cliques
  47. Mon Sep 8 13:25:30 2025 commencing in-memory singleton removal
  48. Mon Sep 8 13:25:33 2025 begin with 199670716 relations and 177268002 unique ideals
  49. Mon Sep 8 13:25:46 2025 reduce to 199266539 relations and 168635560 ideals in 8 passes
  50. Mon Sep 8 13:25:46 2025 max relations containing the same ideal: 180
  51. Mon Sep 8 13:26:21 2025 removing 9208057 relations and 7208057 ideals in 2000000 cliques
  52. Mon Sep 8 13:26:24 2025 commencing in-memory singleton removal
  53. Mon Sep 8 13:26:27 2025 begin with 190058482 relations and 168635560 unique ideals
  54. Mon Sep 8 13:26:38 2025 reduce to 189707203 relations and 161072706 ideals in 7 passes
  55. Mon Sep 8 13:26:38 2025 max relations containing the same ideal: 173
  56. Mon Sep 8 13:27:11 2025 removing 8661541 relations and 6661541 ideals in 2000000 cliques
  57. Mon Sep 8 13:27:14 2025 commencing in-memory singleton removal
  58. Mon Sep 8 13:27:17 2025 begin with 181045662 relations and 161072706 unique ideals
  59. Mon Sep 8 13:27:27 2025 reduce to 180717050 relations and 154079350 ideals in 7 passes
  60. Mon Sep 8 13:27:27 2025 max relations containing the same ideal: 166
  61. Mon Sep 8 13:27:59 2025 removing 8318233 relations and 6318233 ideals in 2000000 cliques
  62. Mon Sep 8 13:28:02 2025 commencing in-memory singleton removal
  63. Mon Sep 8 13:28:05 2025 begin with 172398817 relations and 154079350 unique ideals
  64. Mon Sep 8 13:28:15 2025 reduce to 172079746 relations and 147438790 ideals in 7 passes
  65. Mon Sep 8 13:28:15 2025 max relations containing the same ideal: 162
  66. Mon Sep 8 13:28:45 2025 removing 8086061 relations and 6086061 ideals in 2000000 cliques
  67. Mon Sep 8 13:28:48 2025 commencing in-memory singleton removal
  68. Mon Sep 8 13:28:51 2025 begin with 163993685 relations and 147438790 unique ideals
  69. Mon Sep 8 13:29:00 2025 reduce to 163679156 relations and 141034788 ideals in 7 passes
  70. Mon Sep 8 13:29:00 2025 max relations containing the same ideal: 157
  71. Mon Sep 8 13:29:30 2025 removing 7923167 relations and 5923167 ideals in 2000000 cliques
  72. Mon Sep 8 13:29:32 2025 commencing in-memory singleton removal
  73. Mon Sep 8 13:29:35 2025 begin with 155755989 relations and 141034788 unique ideals
  74. Mon Sep 8 13:29:44 2025 reduce to 155437993 relations and 134790147 ideals in 7 passes
  75. Mon Sep 8 13:29:44 2025 max relations containing the same ideal: 151
  76. Mon Sep 8 13:30:12 2025 removing 7812983 relations and 5812983 ideals in 2000000 cliques
  77. Mon Sep 8 13:30:15 2025 commencing in-memory singleton removal
  78. Mon Sep 8 13:30:17 2025 begin with 147625010 relations and 134790147 unique ideals
  79. Mon Sep 8 13:30:26 2025 reduce to 147300894 relations and 128649195 ideals in 8 passes
  80. Mon Sep 8 13:30:26 2025 max relations containing the same ideal: 147
  81. Mon Sep 8 13:30:54 2025 removing 7739163 relations and 5739163 ideals in 2000000 cliques
  82. Mon Sep 8 13:30:56 2025 commencing in-memory singleton removal
  83. Mon Sep 8 13:30:58 2025 begin with 139561731 relations and 128649195 unique ideals
  84. Mon Sep 8 13:31:06 2025 reduce to 139225925 relations and 122570306 ideals in 7 passes
  85. Mon Sep 8 13:31:06 2025 max relations containing the same ideal: 143
  86. Mon Sep 8 13:31:32 2025 removing 7700355 relations and 5700355 ideals in 2000000 cliques
  87. Mon Sep 8 13:31:35 2025 commencing in-memory singleton removal
  88. Mon Sep 8 13:31:37 2025 begin with 131525570 relations and 122570306 unique ideals
  89. Mon Sep 8 13:31:44 2025 reduce to 131174425 relations and 116514361 ideals in 7 passes
  90. Mon Sep 8 13:31:44 2025 max relations containing the same ideal: 135
  91. Mon Sep 8 13:32:09 2025 removing 7686760 relations and 5686760 ideals in 2000000 cliques
  92. Mon Sep 8 13:32:11 2025 commencing in-memory singleton removal
  93. Mon Sep 8 13:32:13 2025 begin with 123487665 relations and 116514361 unique ideals
  94. Mon Sep 8 13:32:20 2025 reduce to 123118579 relations and 110453607 ideals in 7 passes
  95. Mon Sep 8 13:32:20 2025 max relations containing the same ideal: 133
  96. Mon Sep 8 13:32:44 2025 removing 7697744 relations and 5697744 ideals in 2000000 cliques
  97. Mon Sep 8 13:32:46 2025 commencing in-memory singleton removal
  98. Mon Sep 8 13:32:48 2025 begin with 115420835 relations and 110453607 unique ideals
  99. Mon Sep 8 13:32:54 2025 reduce to 115023606 relations and 104353055 ideals in 7 passes
  100. Mon Sep 8 13:32:54 2025 max relations containing the same ideal: 124
  101. Mon Sep 8 13:33:17 2025 removing 7739736 relations and 5739736 ideals in 2000000 cliques
  102. Mon Sep 8 13:33:19 2025 commencing in-memory singleton removal
  103. Mon Sep 8 13:33:21 2025 begin with 107283870 relations and 104353055 unique ideals
  104. Mon Sep 8 13:33:27 2025 reduce to 106853105 relations and 98176081 ideals in 8 passes
  105. Mon Sep 8 13:33:27 2025 max relations containing the same ideal: 119
  106. Mon Sep 8 13:33:48 2025 removing 7805059 relations and 5805059 ideals in 2000000 cliques
  107. Mon Sep 8 13:33:50 2025 commencing in-memory singleton removal
  108. Mon Sep 8 13:33:52 2025 begin with 99048046 relations and 98176081 unique ideals
  109. Mon Sep 8 13:33:58 2025 reduce to 98573353 relations and 91888732 ideals in 8 passes
  110. Mon Sep 8 13:33:58 2025 max relations containing the same ideal: 112
  111. Mon Sep 8 13:34:17 2025 removing 7903859 relations and 5903859 ideals in 2000000 cliques
  112. Mon Sep 8 13:34:19 2025 commencing in-memory singleton removal
  113. Mon Sep 8 13:34:21 2025 begin with 90669494 relations and 91888732 unique ideals
  114. Mon Sep 8 13:34:26 2025 reduce to 90134456 relations and 85440721 ideals in 8 passes
  115. Mon Sep 8 13:34:26 2025 max relations containing the same ideal: 106
  116. Mon Sep 8 13:34:44 2025 removing 8043096 relations and 6043096 ideals in 2000000 cliques
  117. Mon Sep 8 13:34:46 2025 commencing in-memory singleton removal
  118. Mon Sep 8 13:34:47 2025 begin with 82091360 relations and 85440721 unique ideals
  119. Mon Sep 8 13:34:52 2025 reduce to 81475277 relations and 78769962 ideals in 8 passes
  120. Mon Sep 8 13:34:52 2025 max relations containing the same ideal: 98
  121. Mon Sep 8 13:35:09 2025 removing 5390407 relations and 4218574 ideals in 1171833 cliques
  122. Mon Sep 8 13:35:11 2025 commencing in-memory singleton removal
  123. Mon Sep 8 13:35:12 2025 begin with 76084870 relations and 78769962 unique ideals
  124. Mon Sep 8 13:35:17 2025 reduce to 75793134 relations and 74256058 ideals in 9 passes
  125. Mon Sep 8 13:35:17 2025 max relations containing the same ideal: 92
  126. Mon Sep 8 13:35:39 2025 relations with 0 large ideals: 26981
  127. Mon Sep 8 13:35:39 2025 relations with 1 large ideals: 16392
  128. Mon Sep 8 13:35:39 2025 relations with 2 large ideals: 251170
  129. Mon Sep 8 13:35:39 2025 relations with 3 large ideals: 1718525
  130. Mon Sep 8 13:35:39 2025 relations with 4 large ideals: 6401966
  131. Mon Sep 8 13:35:39 2025 relations with 5 large ideals: 14348362
  132. Mon Sep 8 13:35:39 2025 relations with 6 large ideals: 20763683
  133. Mon Sep 8 13:35:39 2025 relations with 7+ large ideals: 32266055
  134. Mon Sep 8 13:35:39 2025 commencing 2-way merge
  135. Mon Sep 8 13:36:02 2025 reduce to 47653738 relation sets and 46116662 unique ideals
  136. Mon Sep 8 13:36:02 2025 commencing full merge
  137. Mon Sep 8 13:44:15 2025 memory use: 5524.0 MB
  138. Mon Sep 8 13:44:18 2025 found 22437109 cycles, need 22252862
  139. Mon Sep 8 13:44:22 2025 weight of 22252862 cycles is about 2225742350 (100.02/cycle)
  140. Mon Sep 8 13:44:22 2025 distribution of cycle lengths:
  141. Mon Sep 8 13:44:22 2025 1 relations: 2111224
  142. Mon Sep 8 13:44:22 2025 2 relations: 1899351
  143. Mon Sep 8 13:44:22 2025 3 relations: 1928224
  144. Mon Sep 8 13:44:22 2025 4 relations: 1862274
  145. Mon Sep 8 13:44:22 2025 5 relations: 1844874
  146. Mon Sep 8 13:44:22 2025 6 relations: 1761489
  147. Mon Sep 8 13:44:22 2025 7 relations: 1669492
  148. Mon Sep 8 13:44:22 2025 8 relations: 1529329
  149. Mon Sep 8 13:44:22 2025 9 relations: 1386390
  150. Mon Sep 8 13:44:22 2025 10+ relations: 6260215
  151. Mon Sep 8 13:44:22 2025 heaviest cycle: 26 relations
  152. Mon Sep 8 13:44:26 2025 commencing cycle optimization
  153. Mon Sep 8 13:44:51 2025 start with 157988120 relations
  154. Mon Sep 8 13:47:21 2025 pruned 5342814 relations
  155. Mon Sep 8 13:47:21 2025 memory use: 4719.5 MB
  156. Mon Sep 8 13:47:21 2025 distribution of cycle lengths:
  157. Mon Sep 8 13:47:21 2025 1 relations: 2111224
  158. Mon Sep 8 13:47:21 2025 2 relations: 1945887
  159. Mon Sep 8 13:47:21 2025 3 relations: 2001983
  160. Mon Sep 8 13:47:21 2025 4 relations: 1925668
  161. Mon Sep 8 13:47:21 2025 5 relations: 1916327
  162. Mon Sep 8 13:47:21 2025 6 relations: 1821046
  163. Mon Sep 8 13:47:21 2025 7 relations: 1725094
  164. Mon Sep 8 13:47:21 2025 8 relations: 1570800
  165. Mon Sep 8 13:47:21 2025 9 relations: 1416462
  166. Mon Sep 8 13:47:21 2025 10+ relations: 5818371
  167. Mon Sep 8 13:47:21 2025 heaviest cycle: 26 relations
  168. Mon Sep 8 13:47:40 2025 RelProcTime: 2178
  169. Mon Sep 8 13:47:42 2025 elapsed time 00:36:20
  170. Mon Sep 8 13:48:03 2025
  171. Mon Sep 8 13:48:03 2025
  172. Mon Sep 8 13:48:03 2025 Msieve v. 1.54 (SVN a37ab56)
  173. Mon Sep 8 13:48:03 2025 random seeds: 796983c5 2ff55842
  174. Mon Sep 8 13:48:03 2025 MPI process 0 of 2
  175. Mon Sep 8 13:48:03 2025 Using 8 OpenMP threads
  176. Mon Sep 8 13:48:03 2025 factoring 14432189471766104232603113047283300195535265243920214070341286735364933437677429498245819776785758721608399875702432860155136791341415933241212996484422154479371158578063255399463236337448748643377255903386553921883542289780108523 (230 digits)
  177. Mon Sep 8 13:48:04 2025 no P-1/P+1/ECM available, skipping
  178. Mon Sep 8 13:48:04 2025 commencing number field sieve (230-digit input)
  179. Mon Sep 8 13:48:04 2025 R0: -1
  180. Mon Sep 8 13:48:04 2025 R1: 47080316792773814597255908594639398726252540480961
  181. Mon Sep 8 13:48:04 2025 A0: -1618471
  182. Mon Sep 8 13:48:04 2025 A1: 0
  183. Mon Sep 8 13:48:04 2025 A2: 0
  184. Mon Sep 8 13:48:04 2025 A3: 0
  185. Mon Sep 8 13:48:04 2025 A4: 0
  186. Mon Sep 8 13:48:04 2025 A5: 1
  187. Mon Sep 8 13:48:04 2025 skew 1.00, size 5.103e-18, alpha 0.863, combined = 2.706e-14 rroots = 1
  188. Mon Sep 8 13:48:04 2025
  189. Mon Sep 8 13:48:04 2025 commencing linear algebra
  190. Mon Sep 8 13:48:04 2025 using VBITS=256
  191. Mon Sep 8 13:48:04 2025 initialized process (0,0) of 1 x 2 grid
  192. Mon Sep 8 13:48:05 2025 read 22252862 cycles
  193. Mon Sep 8 13:48:29 2025 cycles contain 74790723 unique relations
  194. Mon Sep 8 13:49:05 2025 read 74790723 relations
  195. Mon Sep 8 13:49:19 2025 using 20 quadratic characters above 4294917295
  196. Mon Sep 8 13:49:40 2025 building initial matrix
  197. Mon Sep 8 13:57:47 2025 memory use: 9877.1 MB
  198. Mon Sep 8 13:57:56 2025 read 22252862 cycles
  199. Mon Sep 8 13:57:58 2025 matrix is 22252683 x 22252862 (8995.1 MB) with weight 2607957570 (117.20/col)
  200. Mon Sep 8 13:57:58 2025 sparse part has weight 2113223048 (94.96/col)
  201. Mon Sep 8 13:59:54 2025 filtering completed in 2 passes
  202. Mon Sep 8 13:59:57 2025 matrix is 22248900 x 22249075 (8994.8 MB) with weight 2607834286 (117.21/col)
  203. Mon Sep 8 13:59:57 2025 sparse part has weight 2113182349 (94.98/col)
  204. Mon Sep 8 14:00:33 2025 matrix starts at (0, 0)
  205. Mon Sep 8 14:00:34 2025 matrix is 22248900 x 11124536 (4497.4 MB) with weight 1303918893 (117.21/col)
  206. Mon Sep 8 14:00:34 2025 sparse part has weight 1056591337 (94.98/col)
  207. Mon Sep 8 14:00:34 2025 saving the first 240 matrix rows for later
  208. Mon Sep 8 14:00:35 2025 matrix includes 256 packed rows
  209. Mon Sep 8 14:00:39 2025 matrix is 22248660 x 11124536 (4171.8 MB) with weight 965016130 (86.75/col)
  210. Mon Sep 8 14:00:39 2025 sparse part has weight 915622855 (82.31/col)
  211. Mon Sep 8 14:00:39 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  212. Mon Sep 8 14:00:39 2025 selected card has CUDA arch 8.6
  213. Mon Sep 8 14:01:20 2025 commencing Lanczos iteration
  214. Mon Sep 8 14:01:21 2025 memory use: 10847.4 MB
  215. Mon Sep 8 14:02:04 2025 linear algebra at 0.1%, ETA 8h15m
  216. Mon Sep 8 14:03:06 2025 checking every 40000 dimensions, checkpointing every 2720000 dimensions
  217. Mon Sep 8 22:29:27 2025 lanczos halted after 87171 iterations (dim = 22248659)
  218. Mon Sep 8 22:31:02 2025 recovered 36 nontrivial dependencies
  219. Mon Sep 8 22:31:04 2025 BLanczosTime: 31380
  220. Mon Sep 8 22:31:04 2025 elapsed time 08:43:01
  221. Tue Sep 9 10:26:23 2025
  222. Tue Sep 9 10:26:23 2025
  223. Tue Sep 9 10:26:23 2025 Msieve v. 1.54 (SVN 66ed352)
  224. Tue Sep 9 10:26:23 2025 random seeds: ee75cf96 f8512698
  225. Tue Sep 9 10:26:23 2025 Using 16 OpenMP threads
  226. Tue Sep 9 10:26:23 2025 factoring 14432189471766104232603113047283300195535265243920214070341286735364933437677429498245819776785758721608399875702432860155136791341415933241212996484422154479371158578063255399463236337448748643377255903386553921883542289780108523 (230 digits)
  227. Tue Sep 9 10:26:25 2025 no P-1/P+1/ECM available, skipping
  228. Tue Sep 9 10:26:25 2025 commencing number field sieve (230-digit input)
  229. Tue Sep 9 10:26:25 2025 R0: -1
  230. Tue Sep 9 10:26:25 2025 R1: 47080316792773814597255908594639398726252540480961
  231. Tue Sep 9 10:26:25 2025 A0: -1618471
  232. Tue Sep 9 10:26:25 2025 A1: 0
  233. Tue Sep 9 10:26:25 2025 A2: 0
  234. Tue Sep 9 10:26:25 2025 A3: 0
  235. Tue Sep 9 10:26:25 2025 A4: 0
  236. Tue Sep 9 10:26:25 2025 A5: 1
  237. Tue Sep 9 10:26:25 2025 skew 1.00, size 5.103e-18, alpha 0.863, combined = 2.706e-14 rroots = 1
  238. Tue Sep 9 10:26:25 2025
  239. Tue Sep 9 10:26:25 2025 commencing square root phase
  240. Tue Sep 9 10:26:25 2025 reading relations for dependency 1
  241. Tue Sep 9 10:26:27 2025 read 11123554 cycles
  242. Tue Sep 9 10:26:42 2025 cycles contain 37391460 unique relations
  243. Tue Sep 9 10:27:15 2025 read 37391460 relations
  244. Tue Sep 9 10:28:39 2025 multiplying 37391460 relations
  245. Tue Sep 9 10:29:59 2025 multiply complete, coefficients have about 1061.13 million bits
  246. Tue Sep 9 10:30:00 2025 initial square root is modulo 57571
  247. Tue Sep 9 10:33:16 2025 found factor: 6431007546917699014995699655086308823369511748640664494076695557
  248. Tue Sep 9 10:33:16 2025 reading relations for dependency 2
  249. Tue Sep 9 10:33:17 2025 read 11127332 cycles
  250. Tue Sep 9 10:33:29 2025 cycles contain 37397928 unique relations
  251. Tue Sep 9 10:33:46 2025 read 37397928 relations
  252. Tue Sep 9 10:35:16 2025 multiplying 37397928 relations
  253. Tue Sep 9 10:36:35 2025 multiply complete, coefficients have about 1061.31 million bits
  254. Tue Sep 9 10:36:36 2025 initial square root is modulo 57731
  255. Tue Sep 9 10:39:47 2025 sqrtTime: 802
  256. Tue Sep 9 10:39:47 2025 p53 factor: 57503361382078246319647998295520632504695211441544621
  257. Tue Sep 9 10:39:47 2025 p64 factor: 6431007546917699014995699655086308823369511748640664494076695557
  258. Tue Sep 9 10:39:47 2025 p113 factor: 39026532885842126325484768658759350916939481699519841303929538618666106492051142693494951397434457892484723398859
  259. Tue Sep 9 10:39:47 2025 elapsed time 00:13:24
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