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  1. Wed Apr 8 18:37:17 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Wed Apr 8 18:37:17 2026 random seeds: 7940b4b0 157d27c9
  3. Wed Apr 8 18:37:17 2026 Using 32 OpenMP threads
  4. Wed Apr 8 18:37:17 2026 factoring 3604052797660987796634411898319122608051216592473151275285376617074864507133477887909164306017256433571311460956750681240632240323374564671002382667762581373341270489232025186014782994553311186052053899572628298397376580031119573370597417362157731872672873 (256 digits)
  5. Wed Apr 8 18:37:18 2026 no P-1/P+1/ECM available, skipping
  6. Wed Apr 8 18:37:18 2026 commencing number field sieve (256-digit input)
  7. Wed Apr 8 18:37:18 2026 R0: 14531804545891502580827952871001359449562766238178202
  8. Wed Apr 8 18:37:18 2026 R1: -120547934639675608922684101
  9. Wed Apr 8 18:37:18 2026 A0: 1
  10. Wed Apr 8 18:37:18 2026 A1: 3
  11. Wed Apr 8 18:37:18 2026 A2: -3
  12. Wed Apr 8 18:37:18 2026 A3: -4
  13. Wed Apr 8 18:37:18 2026 A4: 1
  14. Wed Apr 8 18:37:18 2026 A5: 1
  15. Wed Apr 8 18:37:18 2026 skew 1.50, size 1.042e-17, alpha 2.379, combined = 4.395e-14 rroots = 5
  16. Wed Apr 8 18:37:18 2026
  17. Wed Apr 8 18:37:18 2026 commencing relation filtering
  18. Wed Apr 8 18:37:18 2026 setting target matrix density to 110.0
  19. Wed Apr 8 18:37:18 2026 estimated available RAM is 128740.1 MB
  20. Wed Apr 8 18:37:18 2026 commencing duplicate removal, pass 1
  21. Wed Apr 8 18:39:08 2026 error -15 reading relation 191667808
  22. Wed Apr 8 18:39:50 2026 skipped 1410 relations with b > 2^32
  23. Wed Apr 8 18:39:50 2026 skipped 1 malformed relations
  24. Wed Apr 8 18:39:50 2026 found 14641662 hash collisions in 260974959 relations
  25. Wed Apr 8 18:39:53 2026 added 2926300 free relations
  26. Wed Apr 8 18:39:53 2026 commencing duplicate removal, pass 2
  27. Wed Apr 8 18:40:35 2026 found 0 duplicates and 263901259 unique relations
  28. Wed Apr 8 18:40:35 2026 memory use: 852.8 MB
  29. Wed Apr 8 18:40:35 2026 reading ideals above 720000
  30. Wed Apr 8 18:40:35 2026 commencing singleton removal, initial pass
  31. Wed Apr 8 18:50:03 2026 memory use: 6024.0 MB
  32. Wed Apr 8 18:50:03 2026 reading all ideals from disk
  33. Wed Apr 8 18:50:05 2026 memory use: 12963.2 MB
  34. Wed Apr 8 18:50:15 2026 keeping 250431253 ideals with weight <= 200, target excess is 1406140
  35. Wed Apr 8 18:50:29 2026 commencing in-memory singleton removal
  36. Wed Apr 8 18:50:33 2026 begin with 263901259 relations and 250431253 unique ideals
  37. Wed Apr 8 18:50:59 2026 reduce to 162519441 relations and 138368816 ideals in 17 passes
  38. Wed Apr 8 18:50:59 2026 max relations containing the same ideal: 151
  39. Wed Apr 8 18:51:27 2026 removing 12865411 relations and 10865411 ideals in 2000000 cliques
  40. Wed Apr 8 18:51:29 2026 commencing in-memory singleton removal
  41. Wed Apr 8 18:51:32 2026 begin with 149654030 relations and 138368816 unique ideals
  42. Wed Apr 8 18:51:41 2026 reduce to 148836378 relations and 126672278 ideals in 8 passes
  43. Wed Apr 8 18:51:41 2026 max relations containing the same ideal: 143
  44. Wed Apr 8 18:52:07 2026 removing 9798983 relations and 7798983 ideals in 2000000 cliques
  45. Wed Apr 8 18:52:10 2026 commencing in-memory singleton removal
  46. Wed Apr 8 18:52:12 2026 begin with 139037395 relations and 126672278 unique ideals
  47. Wed Apr 8 18:52:20 2026 reduce to 138497465 relations and 118325806 ideals in 8 passes
  48. Wed Apr 8 18:52:20 2026 max relations containing the same ideal: 137
  49. Wed Apr 8 18:52:44 2026 removing 8865020 relations and 6865020 ideals in 2000000 cliques
  50. Wed Apr 8 18:52:47 2026 commencing in-memory singleton removal
  51. Wed Apr 8 18:52:49 2026 begin with 129632445 relations and 118325806 unique ideals
  52. Wed Apr 8 18:52:57 2026 reduce to 129156458 relations and 110977894 ideals in 9 passes
  53. Wed Apr 8 18:52:57 2026 max relations containing the same ideal: 133
  54. Wed Apr 8 18:53:20 2026 removing 8384553 relations and 6384553 ideals in 2000000 cliques
  55. Wed Apr 8 18:53:22 2026 commencing in-memory singleton removal
  56. Wed Apr 8 18:53:24 2026 begin with 120771905 relations and 110977894 unique ideals
  57. Wed Apr 8 18:53:31 2026 reduce to 120315577 relations and 104130461 ideals in 8 passes
  58. Wed Apr 8 18:53:31 2026 max relations containing the same ideal: 127
  59. Wed Apr 8 18:53:52 2026 removing 8092905 relations and 6092905 ideals in 2000000 cliques
  60. Wed Apr 8 18:53:54 2026 commencing in-memory singleton removal
  61. Wed Apr 8 18:53:56 2026 begin with 112222672 relations and 104130461 unique ideals
  62. Wed Apr 8 18:54:03 2026 reduce to 111769941 relations and 97577866 ideals in 8 passes
  63. Wed Apr 8 18:54:03 2026 max relations containing the same ideal: 120
  64. Wed Apr 8 18:54:23 2026 removing 7908587 relations and 5908587 ideals in 2000000 cliques
  65. Wed Apr 8 18:54:25 2026 commencing in-memory singleton removal
  66. Wed Apr 8 18:54:26 2026 begin with 103861354 relations and 97577866 unique ideals
  67. Wed Apr 8 18:54:32 2026 reduce to 103397990 relations and 91198417 ideals in 8 passes
  68. Wed Apr 8 18:54:32 2026 max relations containing the same ideal: 114
  69. Wed Apr 8 18:54:51 2026 removing 7798438 relations and 5798438 ideals in 2000000 cliques
  70. Wed Apr 8 18:54:53 2026 commencing in-memory singleton removal
  71. Wed Apr 8 18:54:54 2026 begin with 95599552 relations and 91198417 unique ideals
  72. Wed Apr 8 18:55:00 2026 reduce to 95116156 relations and 84908214 ideals in 8 passes
  73. Wed Apr 8 18:55:00 2026 max relations containing the same ideal: 107
  74. Wed Apr 8 18:55:17 2026 removing 7739613 relations and 5739613 ideals in 2000000 cliques
  75. Wed Apr 8 18:55:19 2026 commencing in-memory singleton removal
  76. Wed Apr 8 18:55:20 2026 begin with 87376543 relations and 84908214 unique ideals
  77. Wed Apr 8 18:55:25 2026 reduce to 86858975 relations and 78641400 ideals in 8 passes
  78. Wed Apr 8 18:55:25 2026 max relations containing the same ideal: 101
  79. Wed Apr 8 18:55:42 2026 removing 7734315 relations and 5734315 ideals in 2000000 cliques
  80. Wed Apr 8 18:55:43 2026 commencing in-memory singleton removal
  81. Wed Apr 8 18:55:45 2026 begin with 79124660 relations and 78641400 unique ideals
  82. Wed Apr 8 18:55:50 2026 reduce to 78560120 relations and 72331280 ideals in 9 passes
  83. Wed Apr 8 18:55:50 2026 max relations containing the same ideal: 93
  84. Wed Apr 8 18:56:05 2026 removing 7765183 relations and 5765183 ideals in 2000000 cliques
  85. Wed Apr 8 18:56:06 2026 commencing in-memory singleton removal
  86. Wed Apr 8 18:56:07 2026 begin with 70794937 relations and 72331280 unique ideals
  87. Wed Apr 8 18:56:12 2026 reduce to 70164496 relations and 65921695 ideals in 9 passes
  88. Wed Apr 8 18:56:12 2026 max relations containing the same ideal: 86
  89. Wed Apr 8 18:56:25 2026 removing 7839112 relations and 5839112 ideals in 2000000 cliques
  90. Wed Apr 8 18:56:27 2026 commencing in-memory singleton removal
  91. Wed Apr 8 18:56:28 2026 begin with 62325384 relations and 65921695 unique ideals
  92. Wed Apr 8 18:56:32 2026 reduce to 61598475 relations and 59337469 ideals in 9 passes
  93. Wed Apr 8 18:56:32 2026 max relations containing the same ideal: 81
  94. Wed Apr 8 18:56:44 2026 removing 3195328 relations and 2565445 ideals in 629883 cliques
  95. Wed Apr 8 18:56:45 2026 commencing in-memory singleton removal
  96. Wed Apr 8 18:56:46 2026 begin with 58403147 relations and 59337469 unique ideals
  97. Wed Apr 8 18:56:49 2026 reduce to 58278520 relations and 56646316 ideals in 7 passes
  98. Wed Apr 8 18:56:49 2026 max relations containing the same ideal: 77
  99. Wed Apr 8 18:57:05 2026 relations with 0 large ideals: 117006
  100. Wed Apr 8 18:57:05 2026 relations with 1 large ideals: 27066
  101. Wed Apr 8 18:57:05 2026 relations with 2 large ideals: 318641
  102. Wed Apr 8 18:57:05 2026 relations with 3 large ideals: 1928754
  103. Wed Apr 8 18:57:05 2026 relations with 4 large ideals: 6403124
  104. Wed Apr 8 18:57:05 2026 relations with 5 large ideals: 12679008
  105. Wed Apr 8 18:57:05 2026 relations with 6 large ideals: 17288807
  106. Wed Apr 8 18:57:05 2026 relations with 7+ large ideals: 19516114
  107. Wed Apr 8 18:57:05 2026 commencing 2-way merge
  108. Wed Apr 8 18:57:22 2026 reduce to 37101735 relation sets and 35469531 unique ideals
  109. Wed Apr 8 18:57:22 2026 commencing full merge
  110. Wed Apr 8 19:05:35 2026 memory use: 4556.6 MB
  111. Wed Apr 8 19:05:37 2026 found 16981757 cycles, need 16851731
  112. Wed Apr 8 19:05:40 2026 weight of 16851731 cycles is about 1854045117 (110.02/cycle)
  113. Wed Apr 8 19:05:40 2026 distribution of cycle lengths:
  114. Wed Apr 8 19:05:40 2026 1 relations: 1251600
  115. Wed Apr 8 19:05:40 2026 2 relations: 1267826
  116. Wed Apr 8 19:05:40 2026 3 relations: 1280768
  117. Wed Apr 8 19:05:40 2026 4 relations: 1245527
  118. Wed Apr 8 19:05:40 2026 5 relations: 1224092
  119. Wed Apr 8 19:05:40 2026 6 relations: 1187786
  120. Wed Apr 8 19:05:40 2026 7 relations: 1132917
  121. Wed Apr 8 19:05:40 2026 8 relations: 1079656
  122. Wed Apr 8 19:05:40 2026 9 relations: 1009889
  123. Wed Apr 8 19:05:40 2026 10+ relations: 6171670
  124. Wed Apr 8 19:05:40 2026 heaviest cycle: 28 relations
  125. Wed Apr 8 19:05:43 2026 commencing cycle optimization
  126. Wed Apr 8 19:06:04 2026 start with 139431967 relations
  127. Wed Apr 8 19:08:47 2026 pruned 5544853 relations
  128. Wed Apr 8 19:08:47 2026 memory use: 3821.7 MB
  129. Wed Apr 8 19:08:47 2026 distribution of cycle lengths:
  130. Wed Apr 8 19:08:47 2026 1 relations: 1251600
  131. Wed Apr 8 19:08:47 2026 2 relations: 1292465
  132. Wed Apr 8 19:08:47 2026 3 relations: 1327330
  133. Wed Apr 8 19:08:47 2026 4 relations: 1290468
  134. Wed Apr 8 19:08:47 2026 5 relations: 1277870
  135. Wed Apr 8 19:08:47 2026 6 relations: 1236283
  136. Wed Apr 8 19:08:47 2026 7 relations: 1183959
  137. Wed Apr 8 19:08:47 2026 8 relations: 1122497
  138. Wed Apr 8 19:08:47 2026 9 relations: 1048268
  139. Wed Apr 8 19:08:47 2026 10+ relations: 5820991
  140. Wed Apr 8 19:08:47 2026 heaviest cycle: 28 relations
  141. Wed Apr 8 19:09:04 2026 RelProcTime: 1906
  142. Wed Apr 8 19:09:04 2026 elapsed time 00:31:47
  143. Wed Apr 8 19:36:12 2026
  144. Wed Apr 8 19:36:12 2026
  145. Wed Apr 8 19:36:12 2026 Msieve v. 1.54 (SVN 573b9ef)
  146. Wed Apr 8 19:36:12 2026 random seeds: 90f9a35c a1a81c5a
  147. Wed Apr 8 19:36:12 2026 MPI process 0 of 2
  148. Wed Apr 8 19:36:12 2026 Using 8 OpenMP threads
  149. Wed Apr 8 19:36:12 2026 factoring 3604052797660987796634411898319122608051216592473151275285376617074864507133477887909164306017256433571311460956750681240632240323374564671002382667762581373341270489232025186014782994553311186052053899572628298397376580031119573370597417362157731872672873 (256 digits)
  150. Wed Apr 8 19:36:13 2026 no P-1/P+1/ECM available, skipping
  151. Wed Apr 8 19:36:13 2026 commencing number field sieve (256-digit input)
  152. Wed Apr 8 19:36:13 2026 R0: 14531804545891502580827952871001359449562766238178202
  153. Wed Apr 8 19:36:13 2026 R1: -120547934639675608922684101
  154. Wed Apr 8 19:36:13 2026 A0: 1
  155. Wed Apr 8 19:36:13 2026 A1: 3
  156. Wed Apr 8 19:36:13 2026 A2: -3
  157. Wed Apr 8 19:36:13 2026 A3: -4
  158. Wed Apr 8 19:36:13 2026 A4: 1
  159. Wed Apr 8 19:36:13 2026 A5: 1
  160. Wed Apr 8 19:36:13 2026 skew 1.50, size 1.042e-17, alpha 2.379, combined = 4.395e-14 rroots = 5
  161. Wed Apr 8 19:36:13 2026
  162. Wed Apr 8 19:36:13 2026 commencing linear algebra
  163. Wed Apr 8 19:36:13 2026 using VBITS=256
  164. Wed Apr 8 19:36:13 2026 initialized process (0,0) of 1 x 2 grid
  165. Wed Apr 8 19:36:15 2026 read 16851731 cycles
  166. Wed Apr 8 19:36:36 2026 cycles contain 57307894 unique relations
  167. Wed Apr 8 19:37:05 2026 read 57307894 relations
  168. Wed Apr 8 19:37:16 2026 using 20 quadratic characters above 4294917295
  169. Wed Apr 8 19:37:32 2026 building initial matrix
  170. Wed Apr 8 19:43:03 2026 memory use: 7095.2 MB
  171. Wed Apr 8 19:43:10 2026 read 16851731 cycles
  172. Wed Apr 8 19:43:11 2026 matrix is 16851553 x 16851731 (7388.1 MB) with weight 2098638066 (124.54/col)
  173. Wed Apr 8 19:43:11 2026 sparse part has weight 1751364358 (103.93/col)
  174. Wed Apr 8 19:44:42 2026 filtering completed in 2 passes
  175. Wed Apr 8 19:44:44 2026 matrix is 16850004 x 16850166 (7387.9 MB) with weight 2098588349 (124.54/col)
  176. Wed Apr 8 19:44:44 2026 sparse part has weight 1751346386 (103.94/col)
  177. Wed Apr 8 19:45:07 2026 matrix starts at (0, 0)
  178. Wed Apr 8 19:45:08 2026 matrix is 16850004 x 8425047 (3694.0 MB) with weight 1049301618 (124.55/col)
  179. Wed Apr 8 19:45:08 2026 sparse part has weight 875673303 (103.94/col)
  180. Wed Apr 8 19:45:08 2026 saving the first 240 matrix rows for later
  181. Wed Apr 8 19:45:09 2026 matrix includes 256 packed rows
  182. Wed Apr 8 19:45:12 2026 matrix is 16849764 x 8425047 (3426.5 MB) with weight 802644921 (95.27/col)
  183. Wed Apr 8 19:45:12 2026 sparse part has weight 763428406 (90.61/col)
  184. Wed Apr 8 19:45:12 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  185. Wed Apr 8 19:45:12 2026 selected card has CUDA arch 8.6
  186. Wed Apr 8 19:45:40 2026 commencing Lanczos iteration
  187. Wed Apr 8 19:45:41 2026 memory use: 8749.1 MB
  188. Wed Apr 8 19:46:15 2026 linear algebra at 0.2%, ETA 5h 1m
  189. Wed Apr 8 19:47:05 2026 checking every 50000 dimensions, checkpointing every 3350000 dimensions
  190. Thu Apr 9 00:51:06 2026 lanczos halted after 66017 iterations (dim = 16849762)
  191. Thu Apr 9 00:51:47 2026 recovered 33 nontrivial dependencies
  192. Thu Apr 9 00:51:47 2026 BLanczosTime: 18934
  193. Thu Apr 9 00:51:47 2026 elapsed time 05:15:35
  194. Thu Apr 9 11:04:22 2026
  195. Thu Apr 9 11:04:22 2026
  196. Thu Apr 9 11:04:22 2026 Msieve v. 1.54 (SVN 573b9ef)
  197. Thu Apr 9 11:04:22 2026 random seeds: fb82c7c5 087441fc
  198. Thu Apr 9 11:04:22 2026 Using 32 OpenMP threads
  199. Thu Apr 9 11:04:22 2026 factoring 3604052797660987796634411898319122608051216592473151275285376617074864507133477887909164306017256433571311460956750681240632240323374564671002382667762581373341270489232025186014782994553311186052053899572628298397376580031119573370597417362157731872672873 (256 digits)
  200. Thu Apr 9 11:04:23 2026 no P-1/P+1/ECM available, skipping
  201. Thu Apr 9 11:04:23 2026 commencing number field sieve (256-digit input)
  202. Thu Apr 9 11:04:23 2026 R0: 14531804545891502580827952871001359449562766238178202
  203. Thu Apr 9 11:04:23 2026 R1: -120547934639675608922684101
  204. Thu Apr 9 11:04:23 2026 A0: 1
  205. Thu Apr 9 11:04:23 2026 A1: 3
  206. Thu Apr 9 11:04:23 2026 A2: -3
  207. Thu Apr 9 11:04:23 2026 A3: -4
  208. Thu Apr 9 11:04:23 2026 A4: 1
  209. Thu Apr 9 11:04:23 2026 A5: 1
  210. Thu Apr 9 11:04:23 2026 skew 1.50, size 1.042e-17, alpha 2.379, combined = 4.395e-14 rroots = 5
  211. Thu Apr 9 11:04:23 2026
  212. Thu Apr 9 11:04:23 2026 commencing square root phase
  213. Thu Apr 9 11:04:23 2026 reading relations for dependency 1
  214. Thu Apr 9 11:04:24 2026 read 8422147 cycles
  215. Thu Apr 9 11:04:34 2026 cycles contain 28647090 unique relations
  216. Thu Apr 9 11:04:52 2026 read 28647090 relations
  217. Thu Apr 9 11:06:34 2026 multiplying 28647090 relations
  218. Thu Apr 9 11:07:46 2026 multiply complete, coefficients have about 752.69 million bits
  219. Thu Apr 9 11:07:47 2026 initial square root is modulo 5659319
  220. Thu Apr 9 11:10:06 2026 sqrtTime: 343
  221. Thu Apr 9 11:10:06 2026 p85 factor: 1096045994376537209398568327722518738128248206416035308699126770512141911320584329857
  222. Thu Apr 9 11:10:06 2026 p172 factor: 3288231348093268375164993562370735362610664217476980665587973893922334433038060660490754642775592604865870556376359726983718961712731595875580590090223216591465544085990889
  223. Thu Apr 9 11:10:06 2026 elapsed time 00:05:44
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