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Nov 25th, 2024
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  1. Sun Nov 24 22:24:00 2024
  2. Sun Nov 24 22:24:00 2024
  3. Sun Nov 24 22:24:00 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Nov 24 22:24:00 2024 random seeds: 4311d864 fd52556d
  5. Sun Nov 24 22:24:00 2024 MPI process 0 of 1
  6. Sun Nov 24 22:24:00 2024 Using 32 OpenMP threads
  7. Sun Nov 24 22:24:00 2024 factoring 34166441599287625103652932704214300225170288965093672130905253550827303558986376408725911550448581080390831269225539279790539916153825125772015876711504890918458721149 (167 digits)
  8. Sun Nov 24 22:24:01 2024 searching for 15-digit factors
  9. Sun Nov 24 22:24:01 2024 commencing number field sieve (167-digit input)
  10. Sun Nov 24 22:24:01 2024 R0: -168238097832600537003672849171498
  11. Sun Nov 24 22:24:01 2024 R1: 272662152809390287
  12. Sun Nov 24 22:24:01 2024 A0: 104064927421657448793796672293881652555389
  13. Sun Nov 24 22:24:01 2024 A1: 29336337191611154313821037517986547
  14. Sun Nov 24 22:24:01 2024 A2: -4512888493034295741066562417
  15. Sun Nov 24 22:24:01 2024 A3: -139199718294247771303
  16. Sun Nov 24 22:24:01 2024 A4: 14102548946924
  17. Sun Nov 24 22:24:01 2024 A5: 253500
  18. Sun Nov 24 22:24:01 2024 skew 18243801.34, size 2.968e-16, alpha -7.504, combined = 5.488e-13 rroots = 5
  19. Sun Nov 24 22:24:01 2024
  20. Sun Nov 24 22:24:01 2024 commencing relation filtering
  21. Sun Nov 24 22:24:01 2024 setting target matrix density to 120.0
  22. Sun Nov 24 22:24:01 2024 estimated available RAM is 257736.5 MB
  23. Sun Nov 24 22:24:01 2024 commencing duplicate removal, pass 1
  24. Sun Nov 24 22:31:15 2024 error -1 reading relation 181459149
  25. Sun Nov 24 22:31:18 2024 error -1 reading relation 182479642
  26. Sun Nov 24 22:31:34 2024 error -1 reading relation 188966624
  27. Sun Nov 24 22:34:25 2024 error -1 reading relation 256568119
  28. Sun Nov 24 22:34:29 2024 error -1 reading relation 257985531
  29. Sun Nov 24 22:34:29 2024 error -1 reading relation 258048931
  30. Sun Nov 24 22:34:29 2024 error -1 reading relation 258116774
  31. Sun Nov 24 22:34:31 2024 error -1 reading relation 258766967
  32. Sun Nov 24 22:34:51 2024 error -1 reading relation 266460165
  33. Sun Nov 24 22:35:51 2024 error -1 reading relation 288194862
  34. Sun Nov 24 22:35:57 2024 skipped 83 malformed relations
  35. Sun Nov 24 22:35:57 2024 found 58164360 hash collisions in 290908651 relations
  36. Sun Nov 24 22:36:27 2024 commencing duplicate removal, pass 2
  37. Sun Nov 24 22:44:21 2024 found 61461946 duplicates and 229446705 unique relations
  38. Sun Nov 24 22:44:21 2024 memory use: 1705.5 MB
  39. Sun Nov 24 22:44:22 2024 reading ideals above 720000
  40. Sun Nov 24 22:44:22 2024 commencing singleton removal, initial pass
  41. Sun Nov 24 23:09:03 2024 memory use: 6024.0 MB
  42. Sun Nov 24 23:09:04 2024 reading all ideals from disk
  43. Sun Nov 24 23:09:11 2024 memory use: 10553.6 MB
  44. Sun Nov 24 23:09:54 2024 keeping 225331045 ideals with weight <= 200, target excess is 1122131
  45. Sun Nov 24 23:10:52 2024 commencing in-memory singleton removal
  46. Sun Nov 24 23:10:59 2024 begin with 229446705 relations and 225331045 unique ideals
  47. Sun Nov 24 23:11:21 2024 reduce to 120121136 relations and 101886959 ideals in 16 passes
  48. Sun Nov 24 23:11:21 2024 max relations containing the same ideal: 137
  49. Sun Nov 24 23:12:48 2024 removing 12564540 relations and 10564540 ideals in 2000000 cliques
  50. Sun Nov 24 23:12:55 2024 commencing in-memory singleton removal
  51. Sun Nov 24 23:12:58 2024 begin with 107556596 relations and 101886959 unique ideals
  52. Sun Nov 24 23:13:06 2024 reduce to 106526152 relations and 90269854 ideals in 9 passes
  53. Sun Nov 24 23:13:06 2024 max relations containing the same ideal: 132
  54. Sun Nov 24 23:14:26 2024 removing 9591822 relations and 7591822 ideals in 2000000 cliques
  55. Sun Nov 24 23:14:32 2024 commencing in-memory singleton removal
  56. Sun Nov 24 23:14:33 2024 begin with 96934330 relations and 90269854 unique ideals
  57. Sun Nov 24 23:14:40 2024 reduce to 96228179 relations and 81958248 ideals in 8 passes
  58. Sun Nov 24 23:14:40 2024 max relations containing the same ideal: 118
  59. Sun Nov 24 23:15:51 2024 removing 8707586 relations and 6707586 ideals in 2000000 cliques
  60. Sun Nov 24 23:15:55 2024 commencing in-memory singleton removal
  61. Sun Nov 24 23:15:57 2024 begin with 87520593 relations and 81958248 unique ideals
  62. Sun Nov 24 23:16:04 2024 reduce to 86870913 relations and 74588056 ideals in 9 passes
  63. Sun Nov 24 23:16:04 2024 max relations containing the same ideal: 111
  64. Sun Nov 24 23:17:12 2024 removing 8275977 relations and 6275977 ideals in 2000000 cliques
  65. Sun Nov 24 23:17:17 2024 commencing in-memory singleton removal
  66. Sun Nov 24 23:17:18 2024 begin with 78594936 relations and 74588056 unique ideals
  67. Sun Nov 24 23:17:24 2024 reduce to 77946672 relations and 67650142 ideals in 9 passes
  68. Sun Nov 24 23:17:24 2024 max relations containing the same ideal: 103
  69. Sun Nov 24 23:17:58 2024 removing 8047598 relations and 6047598 ideals in 2000000 cliques
  70. Sun Nov 24 23:18:02 2024 commencing in-memory singleton removal
  71. Sun Nov 24 23:18:03 2024 begin with 69899074 relations and 67650142 unique ideals
  72. Sun Nov 24 23:18:07 2024 reduce to 69217905 relations and 60905521 ideals in 9 passes
  73. Sun Nov 24 23:18:07 2024 max relations containing the same ideal: 95
  74. Sun Nov 24 23:18:38 2024 removing 7930162 relations and 5930162 ideals in 2000000 cliques
  75. Sun Nov 24 23:18:43 2024 commencing in-memory singleton removal
  76. Sun Nov 24 23:18:44 2024 begin with 61287743 relations and 60905521 unique ideals
  77. Sun Nov 24 23:18:49 2024 reduce to 60544669 relations and 54213213 ideals in 9 passes
  78. Sun Nov 24 23:18:49 2024 max relations containing the same ideal: 86
  79. Sun Nov 24 23:19:44 2024 removing 7904378 relations and 5904378 ideals in 2000000 cliques
  80. Sun Nov 24 23:19:48 2024 commencing in-memory singleton removal
  81. Sun Nov 24 23:19:49 2024 begin with 52640291 relations and 54213213 unique ideals
  82. Sun Nov 24 23:19:52 2024 reduce to 51784165 relations and 47427939 ideals in 9 passes
  83. Sun Nov 24 23:19:52 2024 max relations containing the same ideal: 77
  84. Sun Nov 24 23:20:30 2024 removing 7960029 relations and 5960029 ideals in 2000000 cliques
  85. Sun Nov 24 23:20:33 2024 commencing in-memory singleton removal
  86. Sun Nov 24 23:20:34 2024 begin with 43824136 relations and 47427939 unique ideals
  87. Sun Nov 24 23:20:37 2024 reduce to 42788540 relations and 40397221 ideals in 10 passes
  88. Sun Nov 24 23:20:37 2024 max relations containing the same ideal: 69
  89. Sun Nov 24 23:21:07 2024 removing 5105643 relations and 4015996 ideals in 1089647 cliques
  90. Sun Nov 24 23:21:10 2024 commencing in-memory singleton removal
  91. Sun Nov 24 23:21:11 2024 begin with 37682897 relations and 40397221 unique ideals
  92. Sun Nov 24 23:21:13 2024 reduce to 37191765 relations and 35878995 ideals in 11 passes
  93. Sun Nov 24 23:21:13 2024 max relations containing the same ideal: 66
  94. Sun Nov 24 23:21:40 2024 removing 109390 relations and 98292 ideals in 11098 cliques
  95. Sun Nov 24 23:21:42 2024 commencing in-memory singleton removal
  96. Sun Nov 24 23:21:43 2024 begin with 37082375 relations and 35878995 unique ideals
  97. Sun Nov 24 23:21:45 2024 reduce to 37082183 relations and 35780510 ideals in 7 passes
  98. Sun Nov 24 23:21:45 2024 max relations containing the same ideal: 66
  99. Sun Nov 24 23:21:50 2024 relations with 0 large ideals: 3985
  100. Sun Nov 24 23:21:50 2024 relations with 1 large ideals: 37866
  101. Sun Nov 24 23:21:50 2024 relations with 2 large ideals: 472695
  102. Sun Nov 24 23:21:50 2024 relations with 3 large ideals: 2424178
  103. Sun Nov 24 23:21:50 2024 relations with 4 large ideals: 6567792
  104. Sun Nov 24 23:21:50 2024 relations with 5 large ideals: 10264139
  105. Sun Nov 24 23:21:50 2024 relations with 6 large ideals: 9685282
  106. Sun Nov 24 23:21:50 2024 relations with 7+ large ideals: 7626246
  107. Sun Nov 24 23:21:50 2024 commencing 2-way merge
  108. Sun Nov 24 23:22:28 2024 reduce to 22041791 relation sets and 20740118 unique ideals
  109. Sun Nov 24 23:22:28 2024 commencing full merge
  110. Sun Nov 24 23:32:47 2024 memory use: 2458.5 MB
  111. Sun Nov 24 23:32:51 2024 found 9592103 cycles, need 9528318
  112. Sun Nov 24 23:32:56 2024 weight of 9528318 cycles is about 1143788812 (120.04/cycle)
  113. Sun Nov 24 23:32:56 2024 distribution of cycle lengths:
  114. Sun Nov 24 23:32:56 2024 1 relations: 698136
  115. Sun Nov 24 23:32:56 2024 2 relations: 662486
  116. Sun Nov 24 23:32:56 2024 3 relations: 667877
  117. Sun Nov 24 23:32:56 2024 4 relations: 648091
  118. Sun Nov 24 23:32:56 2024 5 relations: 651779
  119. Sun Nov 24 23:32:56 2024 6 relations: 625970
  120. Sun Nov 24 23:32:56 2024 7 relations: 614463
  121. Sun Nov 24 23:32:56 2024 8 relations: 583480
  122. Sun Nov 24 23:32:56 2024 9 relations: 557901
  123. Sun Nov 24 23:32:56 2024 10+ relations: 3818135
  124. Sun Nov 24 23:32:56 2024 heaviest cycle: 28 relations
  125. Sun Nov 24 23:33:02 2024 commencing cycle optimization
  126. Sun Nov 24 23:33:42 2024 start with 83927152 relations
  127. Sun Nov 24 23:38:42 2024 pruned 3226778 relations
  128. Sun Nov 24 23:38:43 2024 memory use: 2354.2 MB
  129. Sun Nov 24 23:38:43 2024 distribution of cycle lengths:
  130. Sun Nov 24 23:38:43 2024 1 relations: 698136
  131. Sun Nov 24 23:38:43 2024 2 relations: 678568
  132. Sun Nov 24 23:38:43 2024 3 relations: 693383
  133. Sun Nov 24 23:38:43 2024 4 relations: 670951
  134. Sun Nov 24 23:38:43 2024 5 relations: 677316
  135. Sun Nov 24 23:38:43 2024 6 relations: 650315
  136. Sun Nov 24 23:38:43 2024 7 relations: 639475
  137. Sun Nov 24 23:38:43 2024 8 relations: 606308
  138. Sun Nov 24 23:38:43 2024 9 relations: 578896
  139. Sun Nov 24 23:38:43 2024 10+ relations: 3634970
  140. Sun Nov 24 23:38:43 2024 heaviest cycle: 28 relations
  141. Sun Nov 24 23:38:56 2024 RelProcTime: 4495
  142. Sun Nov 24 23:38:56 2024 elapsed time 01:14:56
  143. Sun Nov 24 23:42:08 2024
  144. Sun Nov 24 23:42:08 2024
  145. Sun Nov 24 23:42:08 2024 Msieve v. 1.54 (SVN Unversioned directory)
  146. Sun Nov 24 23:42:08 2024 random seeds: f4349e95 ce8f0326
  147. Sun Nov 24 23:42:08 2024 MPI process 0 of 1
  148. Sun Nov 24 23:42:08 2024 Using 32 OpenMP threads
  149. Sun Nov 24 23:42:08 2024 factoring 34166441599287625103652932704214300225170288965093672130905253550827303558986376408725911550448581080390831269225539279790539916153825125772015876711504890918458721149 (167 digits)
  150. Sun Nov 24 23:42:09 2024 searching for 15-digit factors
  151. Sun Nov 24 23:42:10 2024 commencing number field sieve (167-digit input)
  152. Sun Nov 24 23:42:10 2024 R0: -168238097832600537003672849171498
  153. Sun Nov 24 23:42:10 2024 R1: 272662152809390287
  154. Sun Nov 24 23:42:10 2024 A0: 104064927421657448793796672293881652555389
  155. Sun Nov 24 23:42:10 2024 A1: 29336337191611154313821037517986547
  156. Sun Nov 24 23:42:10 2024 A2: -4512888493034295741066562417
  157. Sun Nov 24 23:42:10 2024 A3: -139199718294247771303
  158. Sun Nov 24 23:42:10 2024 A4: 14102548946924
  159. Sun Nov 24 23:42:10 2024 A5: 253500
  160. Sun Nov 24 23:42:10 2024 skew 18243801.34, size 2.968e-16, alpha -7.504, combined = 5.488e-13 rroots = 5
  161. Sun Nov 24 23:42:10 2024
  162. Sun Nov 24 23:42:10 2024 commencing linear algebra
  163. Sun Nov 24 23:42:10 2024 using VBITS=256
  164. Sun Nov 24 23:42:10 2024 stopping after matrix build
  165. Sun Nov 24 23:42:10 2024 initialized process (0,0) of 1 x 1 grid
  166. Sun Nov 24 23:42:11 2024 read 9528318 cycles
  167. Sun Nov 24 23:42:45 2024 cycles contain 36135118 unique relations
  168. Sun Nov 24 23:47:57 2024 read 36135118 relations
  169. Sun Nov 24 23:48:02 2024 using 20 quadratic characters above 4294917295
  170. Sun Nov 24 23:48:07 2024 building initial matrix
  171. Sun Nov 24 23:57:35 2024 memory use: 4881.2 MB
  172. Sun Nov 24 23:57:46 2024 read 9528318 cycles
  173. Sun Nov 24 23:57:48 2024 matrix is 9528139 x 9528318 (4510.0 MB) with weight 1391805026 (146.07/col)
  174. Sun Nov 24 23:57:48 2024 sparse part has weight 1067927058 (112.08/col)
  175. Mon Nov 25 00:00:54 2024 filtering completed in 2 passes
  176. Mon Nov 25 00:00:56 2024 matrix is 9527062 x 9527241 (4509.9 MB) with weight 1391746736 (146.08/col)
  177. Mon Nov 25 00:00:56 2024 sparse part has weight 1067908830 (112.09/col)
  178. Mon Nov 25 00:01:57 2024 BLanczosTime: 1187
  179. Mon Nov 25 00:01:57 2024 elapsed time 00:19:49
  180. Mon Nov 25 01:11:38 2024
  181. Mon Nov 25 01:11:38 2024
  182. Mon Nov 25 01:11:38 2024 Msieve v. 1.54 (SVN Unversioned directory)
  183. Mon Nov 25 01:11:38 2024 random seeds: 91cc5fd9 34a3bc4f
  184. Mon Nov 25 01:11:38 2024 MPI process 0 of 1
  185. Mon Nov 25 01:11:38 2024 Using 64 OpenMP threads
  186. Mon Nov 25 01:11:38 2024 factoring 34166441599287625103652932704214300225170288965093672130905253550827303558986376408725911550448581080390831269225539279790539916153825125772015876711504890918458721149 (167 digits)
  187. Mon Nov 25 01:11:39 2024 searching for 15-digit factors
  188. Mon Nov 25 01:11:39 2024 commencing number field sieve (167-digit input)
  189. Mon Nov 25 01:11:39 2024 R0: -168238097832600537003672849171498
  190. Mon Nov 25 01:11:39 2024 R1: 272662152809390287
  191. Mon Nov 25 01:11:39 2024 A0: 104064927421657448793796672293881652555389
  192. Mon Nov 25 01:11:39 2024 A1: 29336337191611154313821037517986547
  193. Mon Nov 25 01:11:39 2024 A2: -4512888493034295741066562417
  194. Mon Nov 25 01:11:39 2024 A3: -139199718294247771303
  195. Mon Nov 25 01:11:39 2024 A4: 14102548946924
  196. Mon Nov 25 01:11:39 2024 A5: 253500
  197. Mon Nov 25 01:11:39 2024 skew 18243801.34, size 2.968e-16, alpha -7.504, combined = 5.488e-13 rroots = 5
  198. Mon Nov 25 01:11:39 2024
  199. Mon Nov 25 01:11:39 2024 commencing linear algebra
  200. Mon Nov 25 01:11:39 2024 using VBITS=256
  201. Mon Nov 25 01:11:39 2024 skipping matrix build
  202. Mon Nov 25 01:11:39 2024 initialized process (0,0) of 1 x 1 grid
  203. Mon Nov 25 01:11:43 2024 matrix starts at (0, 0)
  204. Mon Nov 25 01:11:45 2024 matrix is 9527062 x 9527241 (4509.9 MB) with weight 1391746736 (146.08/col)
  205. Mon Nov 25 01:11:45 2024 sparse part has weight 1067908830 (112.09/col)
  206. Mon Nov 25 01:11:45 2024 saving the first 240 matrix rows for later
  207. Mon Nov 25 01:11:47 2024 matrix includes 256 packed rows
  208. Mon Nov 25 01:11:50 2024 matrix is 9526822 x 9527241 (4066.1 MB) with weight 974289429 (102.26/col)
  209. Mon Nov 25 01:11:50 2024 sparse part has weight 913467926 (95.88/col)
  210. Mon Nov 25 01:11:50 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  211. Mon Nov 25 01:12:10 2024 commencing Lanczos iteration (64 threads)
  212. Mon Nov 25 01:12:10 2024 memory use: 5874.0 MB
  213. Mon Nov 25 01:13:36 2024 linear algebra at 0.3%, ETA 7h14m
  214. Mon Nov 25 01:15:42 2024 checking every 20000 dimensions, checkpointing every 1320000 dimensions
  215. Mon Nov 25 08:23:07 2024 lanczos halted after 37328 iterations (dim = 9526822)
  216. Mon Nov 25 08:23:40 2024 recovered 31 nontrivial dependencies
  217. Mon Nov 25 08:23:41 2024 BLanczosTime: 25922
  218. Mon Nov 25 08:23:41 2024
  219. Mon Nov 25 08:23:41 2024 commencing square root phase
  220. Mon Nov 25 08:23:41 2024 handling dependencies 1 to 64
  221. Mon Nov 25 08:23:41 2024 reading relations for dependency 1
  222. Mon Nov 25 08:23:42 2024 read 4761965 cycles
  223. Mon Nov 25 08:23:50 2024 cycles contain 18068194 unique relations
  224. Mon Nov 25 08:27:39 2024 read 18068194 relations
  225. Mon Nov 25 08:28:43 2024 multiplying 18068194 relations
  226. Mon Nov 25 08:30:20 2024 multiply complete, coefficients have about 999.55 million bits
  227. Mon Nov 25 08:30:23 2024 initial square root is modulo 927714287
  228. Mon Nov 25 08:35:51 2024 GCD is N, no factor found
  229. Mon Nov 25 08:35:51 2024 reading relations for dependency 2
  230. Mon Nov 25 08:35:52 2024 read 4763778 cycles
  231. Mon Nov 25 08:35:59 2024 cycles contain 18068548 unique relations
  232. Mon Nov 25 08:39:47 2024 read 18068548 relations
  233. Mon Nov 25 08:40:46 2024 multiplying 18068548 relations
  234. Mon Nov 25 08:42:20 2024 multiply complete, coefficients have about 999.57 million bits
  235. Mon Nov 25 08:42:23 2024 initial square root is modulo 928228597
  236. Mon Nov 25 08:47:43 2024 sqrtTime: 1442
  237. Mon Nov 25 08:47:43 2024 p77 factor: 91607590409765822916344840678368427635764603438146206830513807223131493601579
  238. Mon Nov 25 08:47:43 2024 p90 factor: 372965181667362284266862339094915137882912466249553724405946201568165751986320600710371831
  239. Mon Nov 25 08:47:43 2024 elapsed time 07:36:05
  240.  
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