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Nov 27th, 2024
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  1. Wed Nov 27 00:49:35 2024
  2. Wed Nov 27 00:49:35 2024
  3. Wed Nov 27 00:49:35 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Nov 27 00:49:35 2024 random seeds: 47f2afd8 53d47553
  5. Wed Nov 27 00:49:35 2024 MPI process 0 of 1
  6. Wed Nov 27 00:49:35 2024 factoring 35096640098988602358426117417891760469805799314782469821964078260041060740556358345052741915392190543536489408380072626999648201863294650891165016887984965330263 (161 digits)
  7. Wed Nov 27 00:49:35 2024 searching for 15-digit factors
  8. Wed Nov 27 00:49:35 2024 commencing number field sieve (161-digit input)
  9. Wed Nov 27 00:49:35 2024 R0: -12312900942220197666138379139457
  10. Wed Nov 27 00:49:35 2024 R1: 2127316746398663938539341
  11. Wed Nov 27 00:49:35 2024 A0: 6899489327908818786053165537880955800
  12. Wed Nov 27 00:49:35 2024 A1: 11912663356957924327005213025180
  13. Wed Nov 27 00:49:35 2024 A2: -13126928767551520610477766
  14. Wed Nov 27 00:49:35 2024 A3: -1678381889731862407
  15. Wed Nov 27 00:49:35 2024 A4: 1855963732314
  16. Wed Nov 27 00:49:35 2024 A5: 157500
  17. Wed Nov 27 00:49:35 2024 skew 2479077.05, size 1.511e-15, alpha -5.801, combined = 1.482e-12 rroots = 5
  18. Wed Nov 27 00:49:35 2024
  19. Wed Nov 27 00:49:35 2024 commencing relation filtering
  20. Wed Nov 27 00:49:35 2024 setting max relations to 130000000
  21. Wed Nov 27 00:49:35 2024 estimated available RAM is 64046.8 MB
  22. Wed Nov 27 00:49:35 2024 commencing duplicate removal, pass 1
  23. Wed Nov 27 00:51:11 2024 error -9 reading relation 24357345
  24. Wed Nov 27 00:51:18 2024 error -15 reading relation 26044655
  25. Wed Nov 27 00:51:41 2024 error -15 reading relation 31921530
  26. Wed Nov 27 00:52:09 2024 error -15 reading relation 39438173
  27. Wed Nov 27 00:52:48 2024 error -15 reading relation 49711862
  28. Wed Nov 27 00:52:49 2024 error -15 reading relation 49756887
  29. Wed Nov 27 00:52:49 2024 error -9 reading relation 49922991
  30. Wed Nov 27 00:52:50 2024 error -9 reading relation 50055974
  31. Wed Nov 27 00:52:50 2024 error -15 reading relation 50162852
  32. Wed Nov 27 00:52:50 2024 error -15 reading relation 50187770
  33. Wed Nov 27 00:52:50 2024 error -15 reading relation 50244030
  34. Wed Nov 27 00:52:51 2024 error -9 reading relation 50329403
  35. Wed Nov 27 00:52:51 2024 error -15 reading relation 50515109
  36. Wed Nov 27 00:52:52 2024 error -15 reading relation 50700507
  37. Wed Nov 27 00:52:52 2024 error -9 reading relation 50750833
  38. Wed Nov 27 00:52:52 2024 error -15 reading relation 50828265
  39. Wed Nov 27 00:52:52 2024 error -9 reading relation 50902207
  40. Wed Nov 27 00:52:53 2024 error -15 reading relation 51007631
  41. Wed Nov 27 00:53:33 2024 error -9 reading relation 61473495
  42. Wed Nov 27 00:53:38 2024 error -15 reading relation 62702138
  43. Wed Nov 27 00:55:49 2024 error -15 reading relation 95969993
  44. Wed Nov 27 00:56:28 2024 error -9 reading relation 105908582
  45. Wed Nov 27 00:56:28 2024 error -9 reading relation 106004683
  46. Wed Nov 27 00:56:55 2024 error -15 reading relation 112713499
  47. Wed Nov 27 00:56:55 2024 error -9 reading relation 112835373
  48. Wed Nov 27 00:56:58 2024 error -15 reading relation 113673036
  49. Wed Nov 27 00:56:59 2024 error -9 reading relation 113743605
  50. Wed Nov 27 00:57:00 2024 error -15 reading relation 114072029
  51. Wed Nov 27 00:57:01 2024 error -15 reading relation 114272878
  52. Wed Nov 27 00:57:03 2024 error -15 reading relation 114897502
  53. Wed Nov 27 00:57:04 2024 error -9 reading relation 115077143
  54. Wed Nov 27 00:57:04 2024 error -15 reading relation 115223165
  55. Wed Nov 27 00:57:07 2024 error -9 reading relation 115895856
  56. Wed Nov 27 00:57:55 2024 error -15 reading relation 128098560
  57. Wed Nov 27 00:57:56 2024 error -15 reading relation 128272143
  58. Wed Nov 27 00:58:02 2024 skipped 26 relations with composite factors
  59. Wed Nov 27 00:58:02 2024 found 3780632 hash collisions in 129999939 relations
  60. Wed Nov 27 00:58:02 2024 commencing duplicate removal, pass 2
  61. Wed Nov 27 00:58:26 2024 found 0 duplicates and 129999939 unique relations
  62. Wed Nov 27 00:58:26 2024 memory use: 389.2 MB
  63. Wed Nov 27 00:58:26 2024 reading ideals above 720000
  64. Wed Nov 27 00:58:26 2024 commencing singleton removal, initial pass
  65. Wed Nov 27 01:06:36 2024 memory use: 2756.0 MB
  66. Wed Nov 27 01:06:36 2024 reading all ideals from disk
  67. Wed Nov 27 01:06:37 2024 memory use: 4872.7 MB
  68. Wed Nov 27 01:06:44 2024 keeping 96070395 ideals with weight <= 200, target excess is 682652
  69. Wed Nov 27 01:06:53 2024 commencing in-memory singleton removal
  70. Wed Nov 27 01:06:58 2024 begin with 129999939 relations and 96070395 unique ideals
  71. Wed Nov 27 01:07:50 2024 reduce to 104114536 relations and 68584483 ideals in 12 passes
  72. Wed Nov 27 01:07:50 2024 max relations containing the same ideal: 182
  73. Wed Nov 27 01:08:17 2024 removing 6891705 relations and 4891705 ideals in 2000000 cliques
  74. Wed Nov 27 01:08:18 2024 commencing in-memory singleton removal
  75. Wed Nov 27 01:08:22 2024 begin with 97222831 relations and 68584483 unique ideals
  76. Wed Nov 27 01:08:45 2024 reduce to 96837141 relations and 63297512 ideals in 6 passes
  77. Wed Nov 27 01:08:45 2024 max relations containing the same ideal: 176
  78. Wed Nov 27 01:09:10 2024 removing 5619834 relations and 3619834 ideals in 2000000 cliques
  79. Wed Nov 27 01:09:11 2024 commencing in-memory singleton removal
  80. Wed Nov 27 01:09:14 2024 begin with 91217307 relations and 63297512 unique ideals
  81. Wed Nov 27 01:09:36 2024 reduce to 90966319 relations and 59421379 ideals in 6 passes
  82. Wed Nov 27 01:09:36 2024 max relations containing the same ideal: 169
  83. Wed Nov 27 01:09:59 2024 removing 5290193 relations and 3290193 ideals in 2000000 cliques
  84. Wed Nov 27 01:10:00 2024 commencing in-memory singleton removal
  85. Wed Nov 27 01:10:03 2024 begin with 85676126 relations and 59421379 unique ideals
  86. Wed Nov 27 01:10:23 2024 reduce to 85468715 relations and 55919346 ideals in 6 passes
  87. Wed Nov 27 01:10:23 2024 max relations containing the same ideal: 166
  88. Wed Nov 27 01:10:45 2024 removing 5110316 relations and 3110316 ideals in 2000000 cliques
  89. Wed Nov 27 01:10:46 2024 commencing in-memory singleton removal
  90. Wed Nov 27 01:10:50 2024 begin with 80358399 relations and 55919346 unique ideals
  91. Wed Nov 27 01:11:08 2024 reduce to 80170274 relations and 52616886 ideals in 6 passes
  92. Wed Nov 27 01:11:08 2024 max relations containing the same ideal: 162
  93. Wed Nov 27 01:11:29 2024 removing 4989076 relations and 2989076 ideals in 2000000 cliques
  94. Wed Nov 27 01:11:30 2024 commencing in-memory singleton removal
  95. Wed Nov 27 01:11:33 2024 begin with 75181198 relations and 52616886 unique ideals
  96. Wed Nov 27 01:11:47 2024 reduce to 75005012 relations and 49447606 ideals in 5 passes
  97. Wed Nov 27 01:11:47 2024 max relations containing the same ideal: 156
  98. Wed Nov 27 01:12:06 2024 removing 4899419 relations and 2899419 ideals in 2000000 cliques
  99. Wed Nov 27 01:12:07 2024 commencing in-memory singleton removal
  100. Wed Nov 27 01:12:10 2024 begin with 70105593 relations and 49447606 unique ideals
  101. Wed Nov 27 01:12:27 2024 reduce to 69935956 relations and 46374691 ideals in 6 passes
  102. Wed Nov 27 01:12:27 2024 max relations containing the same ideal: 148
  103. Wed Nov 27 01:12:45 2024 removing 4830661 relations and 2830661 ideals in 2000000 cliques
  104. Wed Nov 27 01:12:46 2024 commencing in-memory singleton removal
  105. Wed Nov 27 01:12:48 2024 begin with 65105295 relations and 46374691 unique ideals
  106. Wed Nov 27 01:13:04 2024 reduce to 64938152 relations and 43372758 ideals in 6 passes
  107. Wed Nov 27 01:13:04 2024 max relations containing the same ideal: 142
  108. Wed Nov 27 01:13:20 2024 removing 4771869 relations and 2771869 ideals in 2000000 cliques
  109. Wed Nov 27 01:13:21 2024 commencing in-memory singleton removal
  110. Wed Nov 27 01:13:24 2024 begin with 60166283 relations and 43372758 unique ideals
  111. Wed Nov 27 01:13:35 2024 reduce to 60000556 relations and 40430904 ideals in 5 passes
  112. Wed Nov 27 01:13:35 2024 max relations containing the same ideal: 130
  113. Wed Nov 27 01:13:50 2024 removing 4726312 relations and 2726312 ideals in 2000000 cliques
  114. Wed Nov 27 01:13:51 2024 commencing in-memory singleton removal
  115. Wed Nov 27 01:13:53 2024 begin with 55274244 relations and 40430904 unique ideals
  116. Wed Nov 27 01:14:04 2024 reduce to 55105157 relations and 37530940 ideals in 5 passes
  117. Wed Nov 27 01:14:04 2024 max relations containing the same ideal: 125
  118. Wed Nov 27 01:14:18 2024 removing 4683526 relations and 2683526 ideals in 2000000 cliques
  119. Wed Nov 27 01:14:19 2024 commencing in-memory singleton removal
  120. Wed Nov 27 01:14:21 2024 begin with 50421631 relations and 37530940 unique ideals
  121. Wed Nov 27 01:14:30 2024 reduce to 50248019 relations and 34668893 ideals in 5 passes
  122. Wed Nov 27 01:14:30 2024 max relations containing the same ideal: 120
  123. Wed Nov 27 01:14:43 2024 removing 4649888 relations and 2649888 ideals in 2000000 cliques
  124. Wed Nov 27 01:14:44 2024 commencing in-memory singleton removal
  125. Wed Nov 27 01:14:45 2024 begin with 45598131 relations and 34668893 unique ideals
  126. Wed Nov 27 01:14:54 2024 reduce to 45417732 relations and 31833150 ideals in 5 passes
  127. Wed Nov 27 01:14:54 2024 max relations containing the same ideal: 112
  128. Wed Nov 27 01:15:05 2024 removing 4618153 relations and 2618153 ideals in 2000000 cliques
  129. Wed Nov 27 01:15:06 2024 commencing in-memory singleton removal
  130. Wed Nov 27 01:15:08 2024 begin with 40799579 relations and 31833150 unique ideals
  131. Wed Nov 27 01:15:15 2024 reduce to 40609062 relations and 29018456 ideals in 5 passes
  132. Wed Nov 27 01:15:15 2024 max relations containing the same ideal: 103
  133. Wed Nov 27 01:15:26 2024 removing 4589326 relations and 2589326 ideals in 2000000 cliques
  134. Wed Nov 27 01:15:27 2024 commencing in-memory singleton removal
  135. Wed Nov 27 01:15:29 2024 begin with 36019736 relations and 29018456 unique ideals
  136. Wed Nov 27 01:15:36 2024 reduce to 35815259 relations and 26217446 ideals in 5 passes
  137. Wed Nov 27 01:15:36 2024 max relations containing the same ideal: 91
  138. Wed Nov 27 01:15:45 2024 removing 4563485 relations and 2563485 ideals in 2000000 cliques
  139. Wed Nov 27 01:15:46 2024 commencing in-memory singleton removal
  140. Wed Nov 27 01:15:47 2024 begin with 31251774 relations and 26217446 unique ideals
  141. Wed Nov 27 01:15:52 2024 reduce to 31027549 relations and 23421251 ideals in 5 passes
  142. Wed Nov 27 01:15:52 2024 max relations containing the same ideal: 84
  143. Wed Nov 27 01:16:00 2024 removing 4542017 relations and 2542017 ideals in 2000000 cliques
  144. Wed Nov 27 01:16:01 2024 commencing in-memory singleton removal
  145. Wed Nov 27 01:16:02 2024 begin with 26485532 relations and 23421251 unique ideals
  146. Wed Nov 27 01:16:07 2024 reduce to 26231860 relations and 20614576 ideals in 6 passes
  147. Wed Nov 27 01:16:07 2024 max relations containing the same ideal: 75
  148. Wed Nov 27 01:16:14 2024 removing 4525261 relations and 2525261 ideals in 2000000 cliques
  149. Wed Nov 27 01:16:15 2024 commencing in-memory singleton removal
  150. Wed Nov 27 01:16:15 2024 begin with 21706599 relations and 20614576 unique ideals
  151. Wed Nov 27 01:16:20 2024 reduce to 21402999 relations and 17770353 ideals in 7 passes
  152. Wed Nov 27 01:16:20 2024 max relations containing the same ideal: 65
  153. Wed Nov 27 01:16:26 2024 removing 4523021 relations and 2523021 ideals in 2000000 cliques
  154. Wed Nov 27 01:16:27 2024 commencing in-memory singleton removal
  155. Wed Nov 27 01:16:27 2024 begin with 16879978 relations and 17770353 unique ideals
  156. Wed Nov 27 01:16:30 2024 reduce to 16477870 relations and 14820474 ideals in 6 passes
  157. Wed Nov 27 01:16:30 2024 max relations containing the same ideal: 54
  158. Wed Nov 27 01:16:34 2024 removing 2150740 relations and 1285221 ideals in 865519 cliques
  159. Wed Nov 27 01:16:35 2024 commencing in-memory singleton removal
  160. Wed Nov 27 01:16:35 2024 begin with 14327130 relations and 14820474 unique ideals
  161. Wed Nov 27 01:16:39 2024 reduce to 14055225 relations and 13249624 ideals in 7 passes
  162. Wed Nov 27 01:16:39 2024 max relations containing the same ideal: 53
  163. Wed Nov 27 01:16:42 2024 removing 68160 relations and 54436 ideals in 13724 cliques
  164. Wed Nov 27 01:16:43 2024 commencing in-memory singleton removal
  165. Wed Nov 27 01:16:43 2024 begin with 13987065 relations and 13249624 unique ideals
  166. Wed Nov 27 01:16:45 2024 reduce to 13986628 relations and 13194751 ideals in 4 passes
  167. Wed Nov 27 01:16:45 2024 max relations containing the same ideal: 53
  168. Wed Nov 27 01:16:46 2024 relations with 0 large ideals: 0
  169. Wed Nov 27 01:16:46 2024 relations with 1 large ideals: 23753
  170. Wed Nov 27 01:16:46 2024 relations with 2 large ideals: 279217
  171. Wed Nov 27 01:16:46 2024 relations with 3 large ideals: 1251559
  172. Wed Nov 27 01:16:46 2024 relations with 4 large ideals: 2871853
  173. Wed Nov 27 01:16:46 2024 relations with 5 large ideals: 3852169
  174. Wed Nov 27 01:16:46 2024 relations with 6 large ideals: 3222027
  175. Wed Nov 27 01:16:46 2024 relations with 7+ large ideals: 2486050
  176. Wed Nov 27 01:16:46 2024 commencing 2-way merge
  177. Wed Nov 27 01:16:51 2024 reduce to 10663253 relation sets and 9871376 unique ideals
  178. Wed Nov 27 01:16:51 2024 commencing full merge
  179. Wed Nov 27 01:18:17 2024 memory use: 1115.3 MB
  180. Wed Nov 27 01:18:18 2024 found 5093067 cycles, need 4987576
  181. Wed Nov 27 01:18:19 2024 weight of 4987576 cycles is about 449317234 (90.09/cycle)
  182. Wed Nov 27 01:18:19 2024 distribution of cycle lengths:
  183. Wed Nov 27 01:18:19 2024 1 relations: 161439
  184. Wed Nov 27 01:18:19 2024 2 relations: 406508
  185. Wed Nov 27 01:18:19 2024 3 relations: 540837
  186. Wed Nov 27 01:18:19 2024 4 relations: 583910
  187. Wed Nov 27 01:18:19 2024 5 relations: 587104
  188. Wed Nov 27 01:18:19 2024 6 relations: 535311
  189. Wed Nov 27 01:18:19 2024 7 relations: 473227
  190. Wed Nov 27 01:18:19 2024 8 relations: 394598
  191. Wed Nov 27 01:18:19 2024 9 relations: 321598
  192. Wed Nov 27 01:18:19 2024 10+ relations: 983044
  193. Wed Nov 27 01:18:19 2024 heaviest cycle: 19 relations
  194. Wed Nov 27 01:18:20 2024 commencing cycle optimization
  195. Wed Nov 27 01:18:25 2024 start with 32508047 relations
  196. Wed Nov 27 01:18:56 2024 pruned 1678977 relations
  197. Wed Nov 27 01:18:56 2024 memory use: 919.2 MB
  198. Wed Nov 27 01:18:56 2024 distribution of cycle lengths:
  199. Wed Nov 27 01:18:56 2024 1 relations: 161439
  200. Wed Nov 27 01:18:56 2024 2 relations: 421081
  201. Wed Nov 27 01:18:56 2024 3 relations: 574526
  202. Wed Nov 27 01:18:56 2024 4 relations: 620606
  203. Wed Nov 27 01:18:56 2024 5 relations: 627842
  204. Wed Nov 27 01:18:56 2024 6 relations: 566910
  205. Wed Nov 27 01:18:56 2024 7 relations: 494346
  206. Wed Nov 27 01:18:56 2024 8 relations: 400540
  207. Wed Nov 27 01:18:56 2024 9 relations: 316821
  208. Wed Nov 27 01:18:56 2024 10+ relations: 803465
  209. Wed Nov 27 01:18:56 2024 heaviest cycle: 19 relations
  210. Wed Nov 27 01:19:00 2024 RelProcTime: 1765
  211. Wed Nov 27 01:19:00 2024
  212. Wed Nov 27 01:19:00 2024 commencing linear algebra
  213. Wed Nov 27 01:19:00 2024 initialized process (0,0) of 1 x 1 grid
  214. Wed Nov 27 01:19:01 2024 read 4987576 cycles
  215. Wed Nov 27 01:19:05 2024 cycles contain 13675621 unique relations
  216. Wed Nov 27 01:19:42 2024 read 13675621 relations
  217. Wed Nov 27 01:19:58 2024 using 20 quadratic characters above 4294917295
  218. Wed Nov 27 01:20:40 2024 building initial matrix
  219. Wed Nov 27 01:22:18 2024 memory use: 1879.2 MB
  220. Wed Nov 27 01:22:21 2024 read 4987576 cycles
  221. Wed Nov 27 01:22:21 2024 matrix is 4987389 x 4987576 (1806.7 MB) with weight 556792313 (111.64/col)
  222. Wed Nov 27 01:22:21 2024 sparse part has weight 418746189 (83.96/col)
  223. Wed Nov 27 01:22:47 2024 filtering completed in 2 passes
  224. Wed Nov 27 01:22:47 2024 matrix is 4986339 x 4986526 (1806.6 MB) with weight 556743856 (111.65/col)
  225. Wed Nov 27 01:22:47 2024 sparse part has weight 418726974 (83.97/col)
  226. Wed Nov 27 01:23:04 2024 matrix starts at (0, 0)
  227. Wed Nov 27 01:23:04 2024 matrix is 4986339 x 4986526 (1806.6 MB) with weight 556743856 (111.65/col)
  228. Wed Nov 27 01:23:04 2024 sparse part has weight 418726974 (83.97/col)
  229. Wed Nov 27 01:23:04 2024 saving the first 240 matrix rows for later
  230. Wed Nov 27 01:23:05 2024 matrix includes 256 packed rows
  231. Wed Nov 27 01:23:06 2024 matrix is 4986099 x 4986526 (1662.8 MB) with weight 379680043 (76.14/col)
  232. Wed Nov 27 01:23:06 2024 sparse part has weight 356116342 (71.42/col)
  233. Wed Nov 27 01:23:06 2024 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  234. Wed Nov 27 01:23:12 2024 commencing Lanczos iteration (8 threads)
  235. Wed Nov 27 01:23:12 2024 memory use: 2630.8 MB
  236. Wed Nov 27 01:23:21 2024 linear algebra at 0.0%, ETA 7h13m
  237. Wed Nov 27 01:23:23 2024 checkpointing every 740000 dimensions
  238. Wed Nov 27 07:48:02 2024 lanczos halted after 19537 iterations (dim = 4986099)
  239. Wed Nov 27 07:48:14 2024 recovered 31 nontrivial dependencies
  240. Wed Nov 27 07:48:14 2024 BLanczosTime: 23354
  241. Wed Nov 27 07:48:14 2024
  242. Wed Nov 27 07:48:14 2024 commencing square root phase
  243. Wed Nov 27 07:48:14 2024 handling dependencies 1 to 64
  244. Wed Nov 27 07:48:14 2024 reading relations for dependency 1
  245. Wed Nov 27 07:48:14 2024 read 2494440 cycles
  246. Wed Nov 27 07:48:16 2024 cycles contain 6840598 unique relations
  247. Wed Nov 27 07:48:38 2024 read 6840598 relations
  248. Wed Nov 27 07:48:55 2024 multiplying 6840598 relations
  249. Wed Nov 27 07:51:49 2024 multiply complete, coefficients have about 370.06 million bits
  250. Wed Nov 27 07:51:51 2024 initial square root is modulo 4366811
  251. Wed Nov 27 07:55:30 2024 sqrtTime: 436
  252. Wed Nov 27 07:55:30 2024 p74 factor: 73631335022878317290104982645032961939522205164590666784147125258407582599
  253. Wed Nov 27 07:55:30 2024 p87 factor: 476653588965670258628371059263579247549960497394139379289965803320674179254627908565937
  254. Wed Nov 27 07:55:30 2024 elapsed time 07:05:55
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