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  1. Mon Feb 9 15:10:56 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Mon Feb 9 15:10:56 2026 random seeds: 915756d8 f1660769
  3. Mon Feb 9 15:10:56 2026 Using 32 OpenMP threads
  4. Mon Feb 9 15:10:56 2026 factoring 653190136060973206350971280994049552697971669681851933469209321106365718043932779097107640748892448093466718162742177155432953842104145436840302835137274526147473514041693935960155027747554397115442824623755729624474944988091890151165627681426578915343501 (255 digits)
  5. Mon Feb 9 15:10:58 2026 no P-1/P+1/ECM available, skipping
  6. Mon Feb 9 15:10:58 2026 commencing number field sieve (255-digit input)
  7. Mon Feb 9 15:10:58 2026 R0: 2945568793834956386680964572424919550123249
  8. Mon Feb 9 15:10:58 2026 R1: -1
  9. Mon Feb 9 15:10:58 2026 A0: -1
  10. Mon Feb 9 15:10:58 2026 A1: 0
  11. Mon Feb 9 15:10:58 2026 A2: 0
  12. Mon Feb 9 15:10:58 2026 A3: 0
  13. Mon Feb 9 15:10:58 2026 A4: 0
  14. Mon Feb 9 15:10:58 2026 A5: 0
  15. Mon Feb 9 15:10:58 2026 A6: 17657
  16. Mon Feb 9 15:10:58 2026 skew 0.20, size 3.867e-13, alpha 1.721, combined = 5.950e-14 rroots = 2
  17. Mon Feb 9 15:10:58 2026
  18. Mon Feb 9 15:10:58 2026 commencing relation filtering
  19. Mon Feb 9 15:10:58 2026 setting target matrix density to 110.0
  20. Mon Feb 9 15:10:58 2026 estimated available RAM is 128740.1 MB
  21. Mon Feb 9 15:10:58 2026 commencing duplicate removal, pass 1
  22. Mon Feb 9 15:12:04 2026 error -6 reading relation 128135731
  23. Mon Feb 9 15:13:15 2026 skipped 13123 relations with b > 2^32
  24. Mon Feb 9 15:13:15 2026 skipped 2 malformed relations
  25. Mon Feb 9 15:13:15 2026 found 15306099 hash collisions in 267013199 relations
  26. Mon Feb 9 15:13:22 2026 added 1218886 free relations
  27. Mon Feb 9 15:13:22 2026 commencing duplicate removal, pass 2
  28. Mon Feb 9 15:14:05 2026 found 1 duplicates and 268232084 unique relations
  29. Mon Feb 9 15:14:05 2026 memory use: 852.8 MB
  30. Mon Feb 9 15:14:05 2026 reading ideals above 720000
  31. Mon Feb 9 15:14:05 2026 commencing singleton removal, initial pass
  32. Mon Feb 9 15:21:27 2026 memory use: 6024.0 MB
  33. Mon Feb 9 15:21:27 2026 reading all ideals from disk
  34. Mon Feb 9 15:21:29 2026 memory use: 13245.5 MB
  35. Mon Feb 9 15:21:40 2026 keeping 246885419 ideals with weight <= 200, target excess is 1422446
  36. Mon Feb 9 15:21:54 2026 commencing in-memory singleton removal
  37. Mon Feb 9 15:21:58 2026 begin with 268232084 relations and 246885419 unique ideals
  38. Mon Feb 9 15:22:26 2026 reduce to 188315269 relations and 162397429 ideals in 16 passes
  39. Mon Feb 9 15:22:26 2026 max relations containing the same ideal: 171
  40. Mon Feb 9 15:22:59 2026 removing 14888851 relations and 12888851 ideals in 2000000 cliques
  41. Mon Feb 9 15:23:03 2026 commencing in-memory singleton removal
  42. Mon Feb 9 15:23:06 2026 begin with 173426418 relations and 162397429 unique ideals
  43. Mon Feb 9 15:23:20 2026 reduce to 172469829 relations and 148538047 ideals in 11 passes
  44. Mon Feb 9 15:23:20 2026 max relations containing the same ideal: 159
  45. Mon Feb 9 15:23:52 2026 removing 11155987 relations and 9155987 ideals in 2000000 cliques
  46. Mon Feb 9 15:23:55 2026 commencing in-memory singleton removal
  47. Mon Feb 9 15:23:57 2026 begin with 161313842 relations and 148538047 unique ideals
  48. Mon Feb 9 15:24:07 2026 reduce to 160707329 relations and 138767902 ideals in 8 passes
  49. Mon Feb 9 15:24:07 2026 max relations containing the same ideal: 153
  50. Mon Feb 9 15:24:36 2026 removing 10001671 relations and 8001671 ideals in 2000000 cliques
  51. Mon Feb 9 15:24:39 2026 commencing in-memory singleton removal
  52. Mon Feb 9 15:24:41 2026 begin with 150705658 relations and 138767902 unique ideals
  53. Mon Feb 9 15:24:51 2026 reduce to 150180258 relations and 130234285 ideals in 8 passes
  54. Mon Feb 9 15:24:51 2026 max relations containing the same ideal: 143
  55. Mon Feb 9 15:25:19 2026 removing 9393066 relations and 7393066 ideals in 2000000 cliques
  56. Mon Feb 9 15:25:21 2026 commencing in-memory singleton removal
  57. Mon Feb 9 15:25:23 2026 begin with 140787192 relations and 130234285 unique ideals
  58. Mon Feb 9 15:25:32 2026 reduce to 140294158 relations and 122342030 ideals in 8 passes
  59. Mon Feb 9 15:25:32 2026 max relations containing the same ideal: 137
  60. Mon Feb 9 15:25:58 2026 removing 9010344 relations and 7010344 ideals in 2000000 cliques
  61. Mon Feb 9 15:26:01 2026 commencing in-memory singleton removal
  62. Mon Feb 9 15:26:03 2026 begin with 131283814 relations and 122342030 unique ideals
  63. Mon Feb 9 15:26:11 2026 reduce to 130800631 relations and 114842131 ideals in 8 passes
  64. Mon Feb 9 15:26:11 2026 max relations containing the same ideal: 131
  65. Mon Feb 9 15:26:35 2026 removing 8755197 relations and 6755197 ideals in 2000000 cliques
  66. Mon Feb 9 15:26:38 2026 commencing in-memory singleton removal
  67. Mon Feb 9 15:26:40 2026 begin with 122045434 relations and 114842131 unique ideals
  68. Mon Feb 9 15:26:48 2026 reduce to 121558652 relations and 107593586 ideals in 9 passes
  69. Mon Feb 9 15:26:48 2026 max relations containing the same ideal: 128
  70. Mon Feb 9 15:27:11 2026 removing 8582935 relations and 6582935 ideals in 2000000 cliques
  71. Mon Feb 9 15:27:13 2026 commencing in-memory singleton removal
  72. Mon Feb 9 15:27:15 2026 begin with 112975717 relations and 107593586 unique ideals
  73. Mon Feb 9 15:27:22 2026 reduce to 112480689 relations and 100508202 ideals in 8 passes
  74. Mon Feb 9 15:27:22 2026 max relations containing the same ideal: 122
  75. Mon Feb 9 15:27:43 2026 removing 8464292 relations and 6464292 ideals in 2000000 cliques
  76. Mon Feb 9 15:27:45 2026 commencing in-memory singleton removal
  77. Mon Feb 9 15:27:47 2026 begin with 104016397 relations and 100508202 unique ideals
  78. Mon Feb 9 15:27:53 2026 reduce to 103499272 relations and 93518569 ideals in 8 passes
  79. Mon Feb 9 15:27:53 2026 max relations containing the same ideal: 117
  80. Mon Feb 9 15:28:13 2026 removing 8393887 relations and 6393887 ideals in 2000000 cliques
  81. Mon Feb 9 15:28:15 2026 commencing in-memory singleton removal
  82. Mon Feb 9 15:28:16 2026 begin with 95105385 relations and 93518569 unique ideals
  83. Mon Feb 9 15:28:21 2026 reduce to 94556157 relations and 86566425 ideals in 7 passes
  84. Mon Feb 9 15:28:21 2026 max relations containing the same ideal: 105
  85. Mon Feb 9 15:28:40 2026 removing 8363008 relations and 6363008 ideals in 2000000 cliques
  86. Mon Feb 9 15:28:42 2026 commencing in-memory singleton removal
  87. Mon Feb 9 15:28:43 2026 begin with 86193149 relations and 86566425 unique ideals
  88. Mon Feb 9 15:28:48 2026 reduce to 85602036 relations and 79601558 ideals in 8 passes
  89. Mon Feb 9 15:28:48 2026 max relations containing the same ideal: 97
  90. Mon Feb 9 15:29:05 2026 removing 8354552 relations and 6354552 ideals in 2000000 cliques
  91. Mon Feb 9 15:29:07 2026 commencing in-memory singleton removal
  92. Mon Feb 9 15:29:08 2026 begin with 77247484 relations and 79601558 unique ideals
  93. Mon Feb 9 15:29:14 2026 reduce to 76600611 relations and 72587424 ideals in 10 passes
  94. Mon Feb 9 15:29:14 2026 max relations containing the same ideal: 91
  95. Mon Feb 9 15:29:29 2026 removing 8382478 relations and 6382478 ideals in 2000000 cliques
  96. Mon Feb 9 15:29:31 2026 commencing in-memory singleton removal
  97. Mon Feb 9 15:29:32 2026 begin with 68218133 relations and 72587424 unique ideals
  98. Mon Feb 9 15:29:36 2026 reduce to 67492637 relations and 65463196 ideals in 9 passes
  99. Mon Feb 9 15:29:36 2026 max relations containing the same ideal: 85
  100. Mon Feb 9 15:29:50 2026 removing 2224154 relations and 1844751 ideals in 379403 cliques
  101. Mon Feb 9 15:29:51 2026 commencing in-memory singleton removal
  102. Mon Feb 9 15:29:52 2026 begin with 65268483 relations and 65463196 unique ideals
  103. Mon Feb 9 15:29:56 2026 reduce to 65218619 relations and 63568315 ideals in 7 passes
  104. Mon Feb 9 15:29:56 2026 max relations containing the same ideal: 82
  105. Mon Feb 9 15:30:14 2026 relations with 0 large ideals: 51939
  106. Mon Feb 9 15:30:14 2026 relations with 1 large ideals: 30135
  107. Mon Feb 9 15:30:14 2026 relations with 2 large ideals: 323915
  108. Mon Feb 9 15:30:14 2026 relations with 3 large ideals: 2024382
  109. Mon Feb 9 15:30:14 2026 relations with 4 large ideals: 6882144
  110. Mon Feb 9 15:30:14 2026 relations with 5 large ideals: 13908503
  111. Mon Feb 9 15:30:14 2026 relations with 6 large ideals: 17499475
  112. Mon Feb 9 15:30:14 2026 relations with 7+ large ideals: 24498126
  113. Mon Feb 9 15:30:14 2026 commencing 2-way merge
  114. Mon Feb 9 15:30:34 2026 reduce to 40422326 relation sets and 38772022 unique ideals
  115. Mon Feb 9 15:30:34 2026 commencing full merge
  116. Mon Feb 9 15:38:54 2026 memory use: 5090.8 MB
  117. Mon Feb 9 15:38:57 2026 found 18891059 cycles, need 18724222
  118. Mon Feb 9 15:39:00 2026 weight of 18724222 cycles is about 2060203004 (110.03/cycle)
  119. Mon Feb 9 15:39:00 2026 distribution of cycle lengths:
  120. Mon Feb 9 15:39:00 2026 1 relations: 1367747
  121. Mon Feb 9 15:39:00 2026 2 relations: 1488642
  122. Mon Feb 9 15:39:00 2026 3 relations: 1548726
  123. Mon Feb 9 15:39:00 2026 4 relations: 1496443
  124. Mon Feb 9 15:39:00 2026 5 relations: 1446579
  125. Mon Feb 9 15:39:00 2026 6 relations: 1385806
  126. Mon Feb 9 15:39:00 2026 7 relations: 1308758
  127. Mon Feb 9 15:39:00 2026 8 relations: 1227983
  128. Mon Feb 9 15:39:00 2026 9 relations: 1132435
  129. Mon Feb 9 15:39:00 2026 10+ relations: 6321103
  130. Mon Feb 9 15:39:00 2026 heaviest cycle: 28 relations
  131. Mon Feb 9 15:39:04 2026 commencing cycle optimization
  132. Mon Feb 9 15:39:27 2026 start with 147443927 relations
  133. Mon Feb 9 15:42:06 2026 pruned 5328573 relations
  134. Mon Feb 9 15:42:06 2026 memory use: 4195.1 MB
  135. Mon Feb 9 15:42:06 2026 distribution of cycle lengths:
  136. Mon Feb 9 15:42:06 2026 1 relations: 1367747
  137. Mon Feb 9 15:42:06 2026 2 relations: 1521401
  138. Mon Feb 9 15:42:06 2026 3 relations: 1606813
  139. Mon Feb 9 15:42:06 2026 4 relations: 1546004
  140. Mon Feb 9 15:42:06 2026 5 relations: 1503250
  141. Mon Feb 9 15:42:06 2026 6 relations: 1434559
  142. Mon Feb 9 15:42:06 2026 7 relations: 1357430
  143. Mon Feb 9 15:42:06 2026 8 relations: 1266811
  144. Mon Feb 9 15:42:06 2026 9 relations: 1166526
  145. Mon Feb 9 15:42:06 2026 10+ relations: 5953681
  146. Mon Feb 9 15:42:06 2026 heaviest cycle: 27 relations
  147. Mon Feb 9 15:42:25 2026 RelProcTime: 1887
  148. Mon Feb 9 15:42:25 2026 elapsed time 00:31:29
  149. Mon Feb 9 15:42:30 2026
  150. Mon Feb 9 15:42:30 2026
  151. Mon Feb 9 15:42:30 2026 Msieve v. 1.54 (SVN 573b9ef)
  152. Mon Feb 9 15:42:30 2026 random seeds: a3518599 d4896d95
  153. Mon Feb 9 15:42:30 2026 MPI process 0 of 2
  154. Mon Feb 9 15:42:30 2026 Using 8 OpenMP threads
  155. Mon Feb 9 15:42:30 2026 factoring 653190136060973206350971280994049552697971669681851933469209321106365718043932779097107640748892448093466718162742177155432953842104145436840302835137274526147473514041693935960155027747554397115442824623755729624474944988091890151165627681426578915343501 (255 digits)
  156. Mon Feb 9 15:42:30 2026 no P-1/P+1/ECM available, skipping
  157. Mon Feb 9 15:42:30 2026 commencing number field sieve (255-digit input)
  158. Mon Feb 9 15:42:30 2026 R0: 2945568793834956386680964572424919550123249
  159. Mon Feb 9 15:42:30 2026 R1: -1
  160. Mon Feb 9 15:42:30 2026 A0: -1
  161. Mon Feb 9 15:42:30 2026 A1: 0
  162. Mon Feb 9 15:42:30 2026 A2: 0
  163. Mon Feb 9 15:42:30 2026 A3: 0
  164. Mon Feb 9 15:42:30 2026 A4: 0
  165. Mon Feb 9 15:42:30 2026 A5: 0
  166. Mon Feb 9 15:42:30 2026 A6: 17657
  167. Mon Feb 9 15:42:30 2026 skew 0.20, size 3.867e-13, alpha 1.721, combined = 5.950e-14 rroots = 2
  168. Mon Feb 9 15:42:30 2026
  169. Mon Feb 9 15:42:30 2026 commencing linear algebra
  170. Mon Feb 9 15:42:30 2026 using VBITS=256
  171. Mon Feb 9 15:42:30 2026 initialized process (0,0) of 1 x 2 grid
  172. Mon Feb 9 15:42:32 2026 read 18724222 cycles
  173. Mon Feb 9 15:42:53 2026 cycles contain 64230813 unique relations
  174. Mon Feb 9 15:43:27 2026 read 64230813 relations
  175. Mon Feb 9 15:43:39 2026 using 20 quadratic characters above 4294917295
  176. Mon Feb 9 15:43:57 2026 building initial matrix
  177. Mon Feb 9 15:50:52 2026 memory use: 7964.4 MB
  178. Mon Feb 9 15:51:00 2026 read 18724222 cycles
  179. Mon Feb 9 15:51:02 2026 matrix is 18724044 x 18724222 (8211.5 MB) with weight 2325515297 (124.20/col)
  180. Mon Feb 9 15:51:02 2026 sparse part has weight 1946618544 (103.96/col)
  181. Mon Feb 9 15:53:05 2026 filtering completed in 2 passes
  182. Mon Feb 9 15:53:07 2026 matrix is 18722056 x 18722227 (8211.3 MB) with weight 2325452484 (124.21/col)
  183. Mon Feb 9 15:53:07 2026 sparse part has weight 1946595573 (103.97/col)
  184. Mon Feb 9 15:53:35 2026 matrix starts at (0, 0)
  185. Mon Feb 9 15:53:35 2026 matrix is 18722056 x 9361164 (4105.6 MB) with weight 1162713880 (124.21/col)
  186. Mon Feb 9 15:53:35 2026 sparse part has weight 973297940 (103.97/col)
  187. Mon Feb 9 15:53:35 2026 saving the first 240 matrix rows for later
  188. Mon Feb 9 15:53:36 2026 matrix includes 256 packed rows
  189. Mon Feb 9 15:53:40 2026 matrix is 18721816 x 9361164 (3783.9 MB) with weight 886730123 (94.72/col)
  190. Mon Feb 9 15:53:40 2026 sparse part has weight 842144675 (89.96/col)
  191. Mon Feb 9 15:53:41 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  192. Mon Feb 9 15:53:41 2026 selected card has CUDA arch 8.6
  193. Mon Feb 9 15:54:19 2026 commencing Lanczos iteration
  194. Mon Feb 9 15:54:21 2026 memory use: 9674.6 MB
  195. Mon Feb 9 15:55:15 2026 linear algebra at 0.2%, ETA 8h59m
  196. Mon Feb 9 15:56:10 2026 checking every 40000 dimensions, checkpointing every 2600000 dimensions
  197. Mon Feb 9 22:10:51 2026 lanczos halted after 73354 iterations (dim = 18721814)
  198. Mon Feb 9 22:12:06 2026 recovered 33 nontrivial dependencies
  199. Mon Feb 9 22:12:07 2026 BLanczosTime: 23377
  200. Mon Feb 9 22:12:07 2026 elapsed time 06:29:37
  201. Mon Feb 9 23:34:10 2026
  202. Mon Feb 9 23:34:10 2026
  203. Mon Feb 9 23:34:10 2026 Msieve v. 1.54 (SVN 573b9ef)
  204. Mon Feb 9 23:34:10 2026 random seeds: c184df6a c61d8479
  205. Mon Feb 9 23:34:10 2026 Using 32 OpenMP threads
  206. Mon Feb 9 23:34:10 2026 factoring 653190136060973206350971280994049552697971669681851933469209321106365718043932779097107640748892448093466718162742177155432953842104145436840302835137274526147473514041693935960155027747554397115442824623755729624474944988091890151165627681426578915343501 (255 digits)
  207. Mon Feb 9 23:34:11 2026 no P-1/P+1/ECM available, skipping
  208. Mon Feb 9 23:34:11 2026 commencing number field sieve (255-digit input)
  209. Mon Feb 9 23:34:11 2026 R0: 2945568793834956386680964572424919550123249
  210. Mon Feb 9 23:34:11 2026 R1: -1
  211. Mon Feb 9 23:34:11 2026 A0: -1
  212. Mon Feb 9 23:34:11 2026 A1: 0
  213. Mon Feb 9 23:34:11 2026 A2: 0
  214. Mon Feb 9 23:34:11 2026 A3: 0
  215. Mon Feb 9 23:34:11 2026 A4: 0
  216. Mon Feb 9 23:34:11 2026 A5: 0
  217. Mon Feb 9 23:34:11 2026 A6: 17657
  218. Mon Feb 9 23:34:11 2026 skew 0.20, size 3.867e-13, alpha 1.721, combined = 5.950e-14 rroots = 2
  219. Mon Feb 9 23:34:11 2026
  220. Mon Feb 9 23:34:11 2026 commencing square root phase
  221. Mon Feb 9 23:34:11 2026 reading relations for dependency 1
  222. Mon Feb 9 23:34:12 2026 read 9360663 cycles
  223. Mon Feb 9 23:34:23 2026 cycles contain 32112712 unique relations
  224. Mon Feb 9 23:35:30 2026 read 32112712 relations
  225. Mon Feb 9 23:36:51 2026 multiplying 32112712 relations
  226. Mon Feb 9 23:39:12 2026 multiply complete, coefficients have about 1254.00 million bits
  227. Mon Feb 9 23:39:13 2026 initial square root is modulo 421831
  228. Mon Feb 9 23:44:04 2026 sqrtTime: 593
  229. Mon Feb 9 23:44:04 2026 p97 factor: 7374751504679311035346775382163255321752071528676806676346062032436751690549143408321688188846901
  230. Mon Feb 9 23:44:04 2026 p158 factor: 88571138382970775503731859268144847630279129532026337845706703146525505807999527467874098944378938439208402101927373604851619957298583102570263901320881956601
  231. Mon Feb 9 23:44:04 2026 elapsed time 00:09:54
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