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  1. Sat Aug 16 16:58:25 2025 Msieve v. 1.54 (SVN 66ed352)
  2. Sat Aug 16 16:58:25 2025 random seeds: a6462e6d 13184d8e
  3. Sat Aug 16 16:58:25 2025 Using 16 OpenMP threads
  4. Sat Aug 16 16:58:25 2025 factoring 719151224531510913510857466017988268466856158705006441730049772252330249391943392649603582472437298020629554951879643140176276845362744725918616296693299945677800779984775004482739262364464081740876565016825829754725651470552242293 (231 digits)
  5. Sat Aug 16 16:58:25 2025 no P-1/P+1/ECM available, skipping
  6. Sat Aug 16 16:58:25 2025 commencing number field sieve (231-digit input)
  7. Sat Aug 16 16:58:25 2025 R0: 1357602166130257152481187563160405662935023616
  8. Sat Aug 16 16:58:25 2025 R1: -34694469519536141888238489627838134765625
  9. Sat Aug 16 16:58:25 2025 A0: 1
  10. Sat Aug 16 16:58:25 2025 A1: -1
  11. Sat Aug 16 16:58:25 2025 A2: 1
  12. Sat Aug 16 16:58:25 2025 A3: -1
  13. Sat Aug 16 16:58:25 2025 A4: 1
  14. Sat Aug 16 16:58:25 2025 A5: -1
  15. Sat Aug 16 16:58:25 2025 A6: 1
  16. Sat Aug 16 16:58:25 2025 skew 1.00, size 2.476e-13, alpha 2.428, combined = 4.011e-14 rroots = 0
  17. Sat Aug 16 16:58:25 2025
  18. Sat Aug 16 16:58:25 2025 commencing relation filtering
  19. Sat Aug 16 16:58:25 2025 setting target matrix density to 110.0
  20. Sat Aug 16 16:58:25 2025 estimated available RAM is 128734.6 MB
  21. Sat Aug 16 16:58:25 2025 commencing duplicate removal, pass 1
  22. Sat Aug 16 17:04:28 2025 skipped 1590 relations with b > 2^32
  23. Sat Aug 16 17:04:28 2025 skipped 3 malformed relations
  24. Sat Aug 16 17:04:28 2025 found 14686085 hash collisions in 261362720 relations
  25. Sat Aug 16 17:04:31 2025 added 2438534 free relations
  26. Sat Aug 16 17:04:31 2025 commencing duplicate removal, pass 2
  27. Sat Aug 16 17:05:43 2025 found 0 duplicates and 263801254 unique relations
  28. Sat Aug 16 17:05:43 2025 memory use: 852.8 MB
  29. Sat Aug 16 17:05:43 2025 reading ideals above 720000
  30. Sat Aug 16 17:05:43 2025 commencing singleton removal, initial pass
  31. Sat Aug 16 17:18:17 2025 memory use: 6024.0 MB
  32. Sat Aug 16 17:18:17 2025 reading all ideals from disk
  33. Sat Aug 16 17:18:20 2025 memory use: 13179.0 MB
  34. Sat Aug 16 17:18:33 2025 keeping 247588231 ideals with weight <= 200, target excess is 1355157
  35. Sat Aug 16 17:18:51 2025 commencing in-memory singleton removal
  36. Sat Aug 16 17:18:55 2025 begin with 263801254 relations and 247588231 unique ideals
  37. Sat Aug 16 17:19:24 2025 reduce to 178653401 relations and 158132905 ideals in 17 passes
  38. Sat Aug 16 17:19:24 2025 max relations containing the same ideal: 161
  39. Sat Aug 16 17:19:59 2025 removing 14408105 relations and 12408105 ideals in 2000000 cliques
  40. Sat Aug 16 17:20:03 2025 commencing in-memory singleton removal
  41. Sat Aug 16 17:20:06 2025 begin with 164245296 relations and 158132905 unique ideals
  42. Sat Aug 16 17:20:19 2025 reduce to 163319174 relations and 144784949 ideals in 10 passes
  43. Sat Aug 16 17:20:19 2025 max relations containing the same ideal: 153
  44. Sat Aug 16 17:20:50 2025 removing 10940724 relations and 8940724 ideals in 2000000 cliques
  45. Sat Aug 16 17:20:53 2025 commencing in-memory singleton removal
  46. Sat Aug 16 17:20:56 2025 begin with 152378450 relations and 144784949 unique ideals
  47. Sat Aug 16 17:21:07 2025 reduce to 151769536 relations and 135227245 ideals in 9 passes
  48. Sat Aug 16 17:21:07 2025 max relations containing the same ideal: 148
  49. Sat Aug 16 17:21:36 2025 removing 9890681 relations and 7890681 ideals in 2000000 cliques
  50. Sat Aug 16 17:21:39 2025 commencing in-memory singleton removal
  51. Sat Aug 16 17:21:42 2025 begin with 141878855 relations and 135227245 unique ideals
  52. Sat Aug 16 17:21:51 2025 reduce to 141333825 relations and 126784470 ideals in 8 passes
  53. Sat Aug 16 17:21:51 2025 max relations containing the same ideal: 139
  54. Sat Aug 16 17:22:19 2025 removing 9353705 relations and 7353705 ideals in 2000000 cliques
  55. Sat Aug 16 17:22:21 2025 commencing in-memory singleton removal
  56. Sat Aug 16 17:22:23 2025 begin with 131980120 relations and 126784470 unique ideals
  57. Sat Aug 16 17:22:33 2025 reduce to 131456956 relations and 118900789 ideals in 9 passes
  58. Sat Aug 16 17:22:33 2025 max relations containing the same ideal: 132
  59. Sat Aug 16 17:22:59 2025 removing 9028272 relations and 7028272 ideals in 2000000 cliques
  60. Sat Aug 16 17:23:01 2025 commencing in-memory singleton removal
  61. Sat Aug 16 17:23:03 2025 begin with 122428684 relations and 118900789 unique ideals
  62. Sat Aug 16 17:23:11 2025 reduce to 121909444 relations and 111346176 ideals in 8 passes
  63. Sat Aug 16 17:23:11 2025 max relations containing the same ideal: 127
  64. Sat Aug 16 17:23:42 2025 removing 8823500 relations and 6823500 ideals in 2000000 cliques
  65. Sat Aug 16 17:23:46 2025 commencing in-memory singleton removal
  66. Sat Aug 16 17:23:47 2025 begin with 113085944 relations and 111346176 unique ideals
  67. Sat Aug 16 17:23:56 2025 reduce to 112552654 relations and 103981694 ideals in 8 passes
  68. Sat Aug 16 17:23:56 2025 max relations containing the same ideal: 122
  69. Sat Aug 16 17:24:21 2025 removing 8694680 relations and 6694680 ideals in 2000000 cliques
  70. Sat Aug 16 17:24:24 2025 commencing in-memory singleton removal
  71. Sat Aug 16 17:24:25 2025 begin with 103857974 relations and 103981694 unique ideals
  72. Sat Aug 16 17:24:32 2025 reduce to 103299252 relations and 96719523 ideals in 8 passes
  73. Sat Aug 16 17:24:32 2025 max relations containing the same ideal: 113
  74. Sat Aug 16 17:24:52 2025 removing 8624573 relations and 6624573 ideals in 2000000 cliques
  75. Sat Aug 16 17:24:55 2025 commencing in-memory singleton removal
  76. Sat Aug 16 17:24:56 2025 begin with 94674679 relations and 96719523 unique ideals
  77. Sat Aug 16 17:25:04 2025 reduce to 94078969 relations and 89489202 ideals in 10 passes
  78. Sat Aug 16 17:25:04 2025 max relations containing the same ideal: 106
  79. Sat Aug 16 17:25:31 2025 removing 8599684 relations and 6599684 ideals in 2000000 cliques
  80. Sat Aug 16 17:25:33 2025 commencing in-memory singleton removal
  81. Sat Aug 16 17:25:35 2025 begin with 85479285 relations and 89489202 unique ideals
  82. Sat Aug 16 17:25:41 2025 reduce to 84830570 relations and 82228812 ideals in 9 passes
  83. Sat Aug 16 17:25:41 2025 max relations containing the same ideal: 101
  84. Sat Aug 16 17:25:58 2025 removing 5078213 relations and 4048438 ideals in 1029775 cliques
  85. Sat Aug 16 17:26:00 2025 commencing in-memory singleton removal
  86. Sat Aug 16 17:26:01 2025 begin with 79752357 relations and 82228812 unique ideals
  87. Sat Aug 16 17:26:06 2025 reduce to 79519323 relations and 77944851 ideals in 8 passes
  88. Sat Aug 16 17:26:06 2025 max relations containing the same ideal: 95
  89. Sat Aug 16 17:26:30 2025 relations with 0 large ideals: 103926
  90. Sat Aug 16 17:26:30 2025 relations with 1 large ideals: 18280
  91. Sat Aug 16 17:26:30 2025 relations with 2 large ideals: 219282
  92. Sat Aug 16 17:26:30 2025 relations with 3 large ideals: 1521355
  93. Sat Aug 16 17:26:30 2025 relations with 4 large ideals: 5844894
  94. Sat Aug 16 17:26:30 2025 relations with 5 large ideals: 13623122
  95. Sat Aug 16 17:26:30 2025 relations with 6 large ideals: 20112040
  96. Sat Aug 16 17:26:30 2025 relations with 7+ large ideals: 38076424
  97. Sat Aug 16 17:26:30 2025 commencing 2-way merge
  98. Sat Aug 16 17:26:54 2025 reduce to 50389602 relation sets and 48815130 unique ideals
  99. Sat Aug 16 17:26:54 2025 commencing full merge
  100. Sat Aug 16 17:39:50 2025 memory use: 6800.8 MB
  101. Sat Aug 16 17:39:53 2025 found 23335433 cycles, need 23261330
  102. Sat Aug 16 17:39:58 2025 weight of 23261330 cycles is about 2558836938 (110.00/cycle)
  103. Sat Aug 16 17:39:58 2025 distribution of cycle lengths:
  104. Sat Aug 16 17:39:58 2025 1 relations: 1957581
  105. Sat Aug 16 17:39:58 2025 2 relations: 1912811
  106. Sat Aug 16 17:39:58 2025 3 relations: 1854809
  107. Sat Aug 16 17:39:58 2025 4 relations: 1750742
  108. Sat Aug 16 17:39:58 2025 5 relations: 1679782
  109. Sat Aug 16 17:39:58 2025 6 relations: 1603723
  110. Sat Aug 16 17:39:58 2025 7 relations: 1507000
  111. Sat Aug 16 17:39:58 2025 8 relations: 1419588
  112. Sat Aug 16 17:39:58 2025 9 relations: 1315643
  113. Sat Aug 16 17:39:58 2025 10+ relations: 8259651
  114. Sat Aug 16 17:39:58 2025 heaviest cycle: 28 relations
  115. Sat Aug 16 17:40:02 2025 commencing cycle optimization
  116. Sat Aug 16 17:40:32 2025 start with 189556542 relations
  117. Sat Aug 16 17:44:27 2025 pruned 7271747 relations
  118. Sat Aug 16 17:44:27 2025 memory use: 5215.1 MB
  119. Sat Aug 16 17:44:27 2025 distribution of cycle lengths:
  120. Sat Aug 16 17:44:27 2025 1 relations: 1957581
  121. Sat Aug 16 17:44:27 2025 2 relations: 1949307
  122. Sat Aug 16 17:44:27 2025 3 relations: 1919012
  123. Sat Aug 16 17:44:27 2025 4 relations: 1809531
  124. Sat Aug 16 17:44:27 2025 5 relations: 1748999
  125. Sat Aug 16 17:44:27 2025 6 relations: 1662440
  126. Sat Aug 16 17:44:27 2025 7 relations: 1567800
  127. Sat Aug 16 17:44:27 2025 8 relations: 1468479
  128. Sat Aug 16 17:44:27 2025 9 relations: 1359579
  129. Sat Aug 16 17:44:27 2025 10+ relations: 7818602
  130. Sat Aug 16 17:44:27 2025 heaviest cycle: 28 relations
  131. Sat Aug 16 17:44:52 2025 RelProcTime: 2787
  132. Sat Aug 16 17:44:52 2025 elapsed time 00:46:27
  133. Mon Aug 18 11:01:09 2025
  134. Mon Aug 18 11:01:09 2025
  135. Mon Aug 18 11:01:09 2025 Msieve v. 1.54 (SVN a37ab56)
  136. Mon Aug 18 11:01:09 2025 random seeds: 41727552 4b06c284
  137. Mon Aug 18 11:01:09 2025 MPI process 0 of 2
  138. Mon Aug 18 11:01:09 2025 Using 8 OpenMP threads
  139. Mon Aug 18 11:01:09 2025 factoring 719151224531510913510857466017988268466856158705006441730049772252330249391943392649603582472437298020629554951879643140176276845362744725918616296693299945677800779984775004482739262364464081740876565016825829754725651470552242293 (231 digits)
  140. Mon Aug 18 11:01:10 2025 no P-1/P+1/ECM available, skipping
  141. Mon Aug 18 11:01:10 2025 commencing number field sieve (231-digit input)
  142. Mon Aug 18 11:01:10 2025 R0: 1357602166130257152481187563160405662935023616
  143. Mon Aug 18 11:01:10 2025 R1: -34694469519536141888238489627838134765625
  144. Mon Aug 18 11:01:10 2025 A0: 1
  145. Mon Aug 18 11:01:10 2025 A1: -1
  146. Mon Aug 18 11:01:10 2025 A2: 1
  147. Mon Aug 18 11:01:10 2025 A3: -1
  148. Mon Aug 18 11:01:10 2025 A4: 1
  149. Mon Aug 18 11:01:10 2025 A5: -1
  150. Mon Aug 18 11:01:10 2025 A6: 1
  151. Mon Aug 18 11:01:10 2025 skew 1.00, size 2.476e-13, alpha 2.428, combined = 4.011e-14 rroots = 0
  152. Mon Aug 18 11:01:10 2025
  153. Mon Aug 18 11:01:10 2025 commencing linear algebra
  154. Mon Aug 18 11:01:10 2025 using VBITS=256
  155. Mon Aug 18 11:01:10 2025 initialized process (0,0) of 1 x 2 grid
  156. Mon Aug 18 11:01:13 2025 read 23261330 cycles
  157. Mon Aug 18 11:01:55 2025 cycles contain 78499408 unique relations
  158. Mon Aug 18 11:04:47 2025 read 78499408 relations
  159. Mon Aug 18 11:05:15 2025 using 20 quadratic characters above 4294917295
  160. Mon Aug 18 11:05:47 2025 building initial matrix
  161. Mon Aug 18 11:15:32 2025 memory use: 9893.8 MB
  162. Mon Aug 18 11:15:41 2025 read 23261330 cycles
  163. Mon Aug 18 11:15:44 2025 matrix is 23261153 x 23261330 (10198.6 MB) with weight 2888563676 (124.18/col)
  164. Mon Aug 18 11:15:44 2025 sparse part has weight 2417615785 (103.93/col)
  165. Mon Aug 18 11:17:56 2025 filtering completed in 2 passes
  166. Mon Aug 18 11:17:59 2025 matrix is 23260051 x 23260214 (10198.5 MB) with weight 2888528796 (124.18/col)
  167. Mon Aug 18 11:17:59 2025 sparse part has weight 2417604275 (103.94/col)
  168. Mon Aug 18 11:18:40 2025 matrix starts at (0, 0)
  169. Mon Aug 18 11:18:41 2025 matrix is 23260051 x 11630095 (5099.2 MB) with weight 1444253536 (124.18/col)
  170. Mon Aug 18 11:18:41 2025 sparse part has weight 1208802294 (103.94/col)
  171. Mon Aug 18 11:18:41 2025 saving the first 240 matrix rows for later
  172. Mon Aug 18 11:18:42 2025 matrix includes 256 packed rows
  173. Mon Aug 18 11:18:46 2025 matrix is 23259811 x 11630095 (4741.0 MB) with weight 1109509511 (95.40/col)
  174. Mon Aug 18 11:18:46 2025 sparse part has weight 1056741126 (90.86/col)
  175. Mon Aug 18 11:18:46 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  176. Mon Aug 18 11:18:46 2025 selected card has CUDA arch 8.6
  177. Mon Aug 18 11:19:28 2025 commencing Lanczos iteration
  178. Mon Aug 18 11:19:29 2025 memory use: 12099.5 MB
  179. Mon Aug 18 11:20:19 2025 linear algebra at 0.1%, ETA 10h 6m
  180. Mon Aug 18 11:21:31 2025 checking every 30000 dimensions, checkpointing every 2310000 dimensions
  181. Mon Aug 18 21:28:41 2025 lanczos halted after 91132 iterations (dim = 23259805)
  182. Mon Aug 18 21:29:49 2025 recovered 35 nontrivial dependencies
  183. Mon Aug 18 21:29:50 2025 BLanczosTime: 37720
  184. Mon Aug 18 21:29:50 2025 elapsed time 10:28:41
  185. Mon Aug 18 21:30:12 2025
  186. Mon Aug 18 21:30:12 2025
  187. Mon Aug 18 21:30:12 2025 Msieve v. 1.54 (SVN a37ab56)
  188. Mon Aug 18 21:30:12 2025 random seeds: b8c0692b 994d0533
  189. Mon Aug 18 21:30:12 2025 MPI process 0 of 1
  190. Mon Aug 18 21:30:12 2025 Using 16 OpenMP threads
  191. Mon Aug 18 21:30:12 2025 factoring 719151224531510913510857466017988268466856158705006441730049772252330249391943392649603582472437298020629554951879643140176276845362744725918616296693299945677800779984775004482739262364464081740876565016825829754725651470552242293 (231 digits)
  192. Mon Aug 18 21:30:12 2025 no P-1/P+1/ECM available, skipping
  193. Mon Aug 18 21:30:12 2025 commencing number field sieve (231-digit input)
  194. Mon Aug 18 21:30:12 2025 R0: 1357602166130257152481187563160405662935023616
  195. Mon Aug 18 21:30:12 2025 R1: -34694469519536141888238489627838134765625
  196. Mon Aug 18 21:30:12 2025 A0: 1
  197. Mon Aug 18 21:30:12 2025 A1: -1
  198. Mon Aug 18 21:30:12 2025 A2: 1
  199. Mon Aug 18 21:30:12 2025 A3: -1
  200. Mon Aug 18 21:30:12 2025 A4: 1
  201. Mon Aug 18 21:30:12 2025 A5: -1
  202. Mon Aug 18 21:30:12 2025 A6: 1
  203. Mon Aug 18 21:30:12 2025 skew 1.00, size 2.476e-13, alpha 2.428, combined = 4.011e-14 rroots = 0
  204. Mon Aug 18 21:30:12 2025
  205. Mon Aug 18 21:30:12 2025 commencing square root phase
  206. Mon Aug 18 21:30:12 2025 reading relations for dependency 1
  207. Mon Aug 18 21:30:14 2025 read 11626635 cycles
  208. Mon Aug 18 21:30:37 2025 cycles contain 39243424 unique relations
  209. Mon Aug 18 21:31:37 2025 read 39243424 relations
  210. Mon Aug 18 21:33:35 2025 multiplying 39243424 relations
  211. Mon Aug 18 21:35:47 2025 multiply complete, coefficients have about 1033.23 million bits
  212. Mon Aug 18 21:35:49 2025 initial square root is modulo 1860414617
  213. Mon Aug 18 21:40:04 2025 sqrtTime: 592
  214. Mon Aug 18 21:40:04 2025 p107 factor: 39599978571566500020113385656157582458364927966647985230617495888589148616414386621416733207392213435967589
  215. Mon Aug 18 21:40:04 2025 p125 factor: 18160394284856368181069016960913659404233674572056434062755955273855598379216094762383737552290931803377331613898477077923537
  216. Mon Aug 18 21:40:04 2025 elapsed time 00:09:52
  217. Mon Aug 18 11:01:09 2025
  218. Mon Aug 18 11:01:09 2025
  219. Mon Aug 18 21:30:12 2025 Msieve v. 1.54 (SVN a37ab56)
  220. Mon Aug 18 21:30:12 2025 random seeds: b8c0692b 994d0533
  221. Mon Aug 18 21:30:12 2025 MPI process 0 of 1
  222. Mon Aug 18 21:30:12 2025 Using 16 OpenMP threads
  223. Mon Aug 18 21:30:12 2025 factoring 719151224531510913510857466017988268466856158705006441730049772252330249391943392649603582472437298020629554951879643140176276845362744725918616296693299945677800779984775004482739262364464081740876565016825829754725651470552242293 (231 digits)
  224. Mon Aug 18 21:30:12 2025 no P-1/P+1/ECM available, skipping
  225. Mon Aug 18 21:30:12 2025 commencing number field sieve (231-digit input)
  226. Mon Aug 18 21:30:12 2025 R0: 1357602166130257152481187563160405662935023616
  227. Mon Aug 18 21:30:12 2025 R1: -34694469519536141888238489627838134765625
  228. Mon Aug 18 21:30:12 2025 A0: 1
  229. Mon Aug 18 21:30:12 2025 A1: -1
  230. Mon Aug 18 21:30:12 2025 A2: 1
  231. Mon Aug 18 21:30:12 2025 A3: -1
  232. Mon Aug 18 21:30:12 2025 A4: 1
  233. Mon Aug 18 21:30:12 2025 A5: -1
  234. Mon Aug 18 21:30:12 2025 A6: 1
  235. Mon Aug 18 21:30:12 2025 skew 1.00, size 2.476e-13, alpha 2.428, combined = 4.011e-14 rroots = 0
  236. Mon Aug 18 21:30:12 2025
  237. Mon Aug 18 21:30:12 2025 commencing square root phase
  238. Mon Aug 18 21:30:12 2025 reading relations for dependency 1
  239. Mon Aug 18 21:30:14 2025 read 11626635 cycles
  240. Mon Aug 18 21:30:37 2025 cycles contain 39243424 unique relations
  241. Mon Aug 18 21:31:37 2025 read 39243424 relations
  242. Mon Aug 18 21:33:35 2025 multiplying 39243424 relations
  243. Mon Aug 18 21:35:47 2025 multiply complete, coefficients have about 1033.23 million bits
  244. Mon Aug 18 21:35:49 2025 initial square root is modulo 1860414617
  245. Mon Aug 18 21:40:04 2025 sqrtTime: 592
  246. Mon Aug 18 21:40:04 2025 p107 factor: 39599978571566500020113385656157582458364927966647985230617495888589148616414386621416733207392213435967589
  247. Mon Aug 18 21:40:04 2025 p125 factor: 18160394284856368181069016960913659404233674572056434062755955273855598379216094762383737552290931803377331613898477077923537
  248. Mon Aug 18 21:40:04 2025 elapsed time 00:09:52
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