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Oct 10th, 2022
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  1. Wed Oct 5 08:33:17 2022
  2. Wed Oct 5 08:33:17 2022
  3. Wed Oct 5 08:33:17 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Oct 5 08:33:17 2022 random seeds: ac936062 3d62e67f
  5. Wed Oct 5 08:33:17 2022 factoring 4487849528849322742479423745168653711324738985774913403224381060832884261299856002696991515300078883810194269384816276032531675031611350339460955093377981887727976150814972271321220207483134545019447746679 (205 digits)
  6. Wed Oct 5 08:33:18 2022 no P-1/P+1/ECM available, skipping
  7. Wed Oct 5 08:33:18 2022 commencing number field sieve (205-digit input)
  8. Wed Oct 5 08:33:18 2022 R0: 952007620815896289237318398880046834699
  9. Wed Oct 5 08:33:18 2022 R1: -1
  10. Wed Oct 5 08:33:18 2022 A0: -62478139
  11. Wed Oct 5 08:33:18 2022 A1: 0
  12. Wed Oct 5 08:33:18 2022 A2: 0
  13. Wed Oct 5 08:33:18 2022 A3: 0
  14. Wed Oct 5 08:33:18 2022 A4: 0
  15. Wed Oct 5 08:33:18 2022 A5: 0
  16. Wed Oct 5 08:33:18 2022 A6: 1
  17. Wed Oct 5 08:33:18 2022 skew 19.92, size 2.173e-12, alpha 1.943, combined = 2.200e-13 rroots = 2
  18. Wed Oct 5 08:33:18 2022
  19. Wed Oct 5 08:33:18 2022 commencing relation filtering
  20. Wed Oct 5 08:33:18 2022 setting target matrix density to 120.0
  21. Wed Oct 5 08:33:18 2022 estimated available RAM is 15960.0 MB
  22. Wed Oct 5 08:33:18 2022 commencing duplicate removal, pass 1
  23. Wed Oct 5 08:46:27 2022 error -15 reading relation 114050824
  24. Wed Oct 5 08:56:58 2022 skipped 3 relations with b > 2^32
  25. Wed Oct 5 08:56:58 2022 found 9191848 hash collisions in 204973926 relations
  26. Wed Oct 5 08:57:12 2022 added 1218090 free relations
  27. Wed Oct 5 08:57:12 2022 commencing duplicate removal, pass 2
  28. Wed Oct 5 08:58:11 2022 found 0 duplicates and 206192016 unique relations
  29. Wed Oct 5 08:58:11 2022 memory use: 522.4 MB
  30. Wed Oct 5 08:58:11 2022 reading ideals above 101908480
  31. Wed Oct 5 08:58:11 2022 commencing singleton removal, initial pass
  32. Wed Oct 5 09:16:39 2022 memory use: 5512.0 MB
  33. Wed Oct 5 09:16:39 2022 reading all ideals from disk
  34. Wed Oct 5 09:16:47 2022 memory use: 4013.4 MB
  35. Wed Oct 5 09:16:56 2022 commencing in-memory singleton removal
  36. Wed Oct 5 09:17:05 2022 begin with 206192016 relations and 169537676 unique ideals
  37. Wed Oct 5 09:18:40 2022 reduce to 146969002 relations and 105299061 ideals in 13 passes
  38. Wed Oct 5 09:18:40 2022 max relations containing the same ideal: 39
  39. Wed Oct 5 09:18:49 2022 reading ideals above 720000
  40. Wed Oct 5 09:18:49 2022 commencing singleton removal, initial pass
  41. Wed Oct 5 09:35:56 2022 memory use: 3012.0 MB
  42. Wed Oct 5 09:35:56 2022 reading all ideals from disk
  43. Wed Oct 5 09:36:11 2022 memory use: 5943.9 MB
  44. Wed Oct 5 09:36:25 2022 keeping 116273362 ideals with weight <= 200, target excess is 755852
  45. Wed Oct 5 09:36:42 2022 commencing in-memory singleton removal
  46. Wed Oct 5 09:36:53 2022 begin with 146969002 relations and 116273362 unique ideals
  47. Wed Oct 5 09:37:27 2022 reduce to 146968941 relations and 116273301 ideals in 3 passes
  48. Wed Oct 5 09:37:27 2022 max relations containing the same ideal: 200
  49. Wed Oct 5 09:38:26 2022 removing 10126106 relations and 8126106 ideals in 2000000 cliques
  50. Wed Oct 5 09:38:30 2022 commencing in-memory singleton removal
  51. Wed Oct 5 09:38:41 2022 begin with 136842835 relations and 116273301 unique ideals
  52. Wed Oct 5 09:39:54 2022 reduce to 136283042 relations and 107577602 ideals in 7 passes
  53. Wed Oct 5 09:39:54 2022 max relations containing the same ideal: 198
  54. Wed Oct 5 09:40:49 2022 removing 7814778 relations and 5814778 ideals in 2000000 cliques
  55. Wed Oct 5 09:40:53 2022 commencing in-memory singleton removal
  56. Wed Oct 5 09:41:03 2022 begin with 128468264 relations and 107577602 unique ideals
  57. Wed Oct 5 09:42:12 2022 reduce to 128089854 relations and 101378473 ideals in 7 passes
  58. Wed Oct 5 09:42:12 2022 max relations containing the same ideal: 193
  59. Wed Oct 5 09:43:04 2022 removing 7142434 relations and 5142434 ideals in 2000000 cliques
  60. Wed Oct 5 09:43:08 2022 commencing in-memory singleton removal
  61. Wed Oct 5 09:43:17 2022 begin with 120947420 relations and 101378473 unique ideals
  62. Wed Oct 5 09:44:22 2022 reduce to 120610697 relations and 95894207 ideals in 7 passes
  63. Wed Oct 5 09:44:22 2022 max relations containing the same ideal: 188
  64. Wed Oct 5 09:45:11 2022 removing 6808578 relations and 4808578 ideals in 2000000 cliques
  65. Wed Oct 5 09:45:15 2022 commencing in-memory singleton removal
  66. Wed Oct 5 09:45:23 2022 begin with 113802119 relations and 95894207 unique ideals
  67. Wed Oct 5 09:46:15 2022 reduce to 113484313 relations and 90762859 ideals in 6 passes
  68. Wed Oct 5 09:46:15 2022 max relations containing the same ideal: 179
  69. Wed Oct 5 09:47:02 2022 removing 6602292 relations and 4602292 ideals in 2000000 cliques
  70. Wed Oct 5 09:47:05 2022 commencing in-memory singleton removal
  71. Wed Oct 5 09:47:13 2022 begin with 106882021 relations and 90762859 unique ideals
  72. Wed Oct 5 09:48:09 2022 reduce to 106571493 relations and 85844878 ideals in 7 passes
  73. Wed Oct 5 09:48:09 2022 max relations containing the same ideal: 173
  74. Wed Oct 5 09:48:53 2022 removing 6470351 relations and 4470351 ideals in 2000000 cliques
  75. Wed Oct 5 09:48:56 2022 commencing in-memory singleton removal
  76. Wed Oct 5 09:49:04 2022 begin with 100101142 relations and 85844878 unique ideals
  77. Wed Oct 5 09:49:55 2022 reduce to 99787785 relations and 81055974 ideals in 7 passes
  78. Wed Oct 5 09:49:55 2022 max relations containing the same ideal: 166
  79. Wed Oct 5 09:50:35 2022 removing 6385596 relations and 4385596 ideals in 2000000 cliques
  80. Wed Oct 5 09:50:38 2022 commencing in-memory singleton removal
  81. Wed Oct 5 09:50:45 2022 begin with 93402189 relations and 81055974 unique ideals
  82. Wed Oct 5 09:51:25 2022 reduce to 93081525 relations and 76344109 ideals in 6 passes
  83. Wed Oct 5 09:51:25 2022 max relations containing the same ideal: 158
  84. Wed Oct 5 09:52:04 2022 removing 6337193 relations and 4337193 ideals in 2000000 cliques
  85. Wed Oct 5 09:52:07 2022 commencing in-memory singleton removal
  86. Wed Oct 5 09:52:13 2022 begin with 86744332 relations and 76344109 unique ideals
  87. Wed Oct 5 09:52:55 2022 reduce to 86410359 relations and 71666573 ideals in 7 passes
  88. Wed Oct 5 09:52:55 2022 max relations containing the same ideal: 153
  89. Wed Oct 5 09:53:31 2022 removing 6314725 relations and 4314725 ideals in 2000000 cliques
  90. Wed Oct 5 09:53:34 2022 commencing in-memory singleton removal
  91. Wed Oct 5 09:53:39 2022 begin with 80095634 relations and 71666573 unique ideals
  92. Wed Oct 5 09:54:16 2022 reduce to 79741223 relations and 66990165 ideals in 7 passes
  93. Wed Oct 5 09:54:16 2022 max relations containing the same ideal: 144
  94. Wed Oct 5 09:54:50 2022 removing 6319018 relations and 4319018 ideals in 2000000 cliques
  95. Wed Oct 5 09:54:53 2022 commencing in-memory singleton removal
  96. Wed Oct 5 09:54:58 2022 begin with 73422205 relations and 66990165 unique ideals
  97. Wed Oct 5 09:55:31 2022 reduce to 73040511 relations and 62281174 ideals in 7 passes
  98. Wed Oct 5 09:55:31 2022 max relations containing the same ideal: 136
  99. Wed Oct 5 09:56:01 2022 removing 6345919 relations and 4345919 ideals in 2000000 cliques
  100. Wed Oct 5 09:56:03 2022 commencing in-memory singleton removal
  101. Wed Oct 5 09:56:08 2022 begin with 66694592 relations and 62281174 unique ideals
  102. Wed Oct 5 09:56:38 2022 reduce to 66276033 relations and 57506580 ideals in 7 passes
  103. Wed Oct 5 09:56:38 2022 max relations containing the same ideal: 128
  104. Wed Oct 5 09:57:04 2022 removing 6398169 relations and 4398169 ideals in 2000000 cliques
  105. Wed Oct 5 09:57:07 2022 commencing in-memory singleton removal
  106. Wed Oct 5 09:57:10 2022 begin with 59877864 relations and 57506580 unique ideals
  107. Wed Oct 5 09:57:36 2022 reduce to 59407393 relations and 52625740 ideals in 7 passes
  108. Wed Oct 5 09:57:36 2022 max relations containing the same ideal: 120
  109. Wed Oct 5 09:57:59 2022 removing 6483203 relations and 4483203 ideals in 2000000 cliques
  110. Wed Oct 5 09:58:01 2022 commencing in-memory singleton removal
  111. Wed Oct 5 09:58:05 2022 begin with 52924190 relations and 52625740 unique ideals
  112. Wed Oct 5 09:58:27 2022 reduce to 52377422 relations and 47580157 ideals in 7 passes
  113. Wed Oct 5 09:58:27 2022 max relations containing the same ideal: 108
  114. Wed Oct 5 09:58:48 2022 removing 6604980 relations and 4604980 ideals in 2000000 cliques
  115. Wed Oct 5 09:58:50 2022 commencing in-memory singleton removal
  116. Wed Oct 5 09:58:53 2022 begin with 45772442 relations and 47580157 unique ideals
  117. Wed Oct 5 09:59:12 2022 reduce to 45122444 relations and 42303954 ideals in 7 passes
  118. Wed Oct 5 09:59:12 2022 max relations containing the same ideal: 98
  119. Wed Oct 5 09:59:30 2022 removing 6612893 relations and 4671192 ideals in 1941701 cliques
  120. Wed Oct 5 09:59:32 2022 commencing in-memory singleton removal
  121. Wed Oct 5 09:59:34 2022 begin with 38509551 relations and 42303954 unique ideals
  122. Wed Oct 5 09:59:56 2022 reduce to 37734013 relations and 36828689 ideals in 10 passes
  123. Wed Oct 5 09:59:56 2022 max relations containing the same ideal: 88
  124. Wed Oct 5 10:00:11 2022 removing 212207 relations and 183672 ideals in 28535 cliques
  125. Wed Oct 5 10:00:12 2022 commencing in-memory singleton removal
  126. Wed Oct 5 10:00:15 2022 begin with 37521806 relations and 36828689 unique ideals
  127. Wed Oct 5 10:00:23 2022 reduce to 37520944 relations and 36644153 ideals in 4 passes
  128. Wed Oct 5 10:00:23 2022 max relations containing the same ideal: 87
  129. Wed Oct 5 10:00:30 2022 relations with 0 large ideals: 28262
  130. Wed Oct 5 10:00:30 2022 relations with 1 large ideals: 9893
  131. Wed Oct 5 10:00:30 2022 relations with 2 large ideals: 113264
  132. Wed Oct 5 10:00:30 2022 relations with 3 large ideals: 792774
  133. Wed Oct 5 10:00:30 2022 relations with 4 large ideals: 3032292
  134. Wed Oct 5 10:00:30 2022 relations with 5 large ideals: 6905467
  135. Wed Oct 5 10:00:30 2022 relations with 6 large ideals: 9835839
  136. Wed Oct 5 10:00:30 2022 relations with 7+ large ideals: 16803153
  137. Wed Oct 5 10:00:30 2022 commencing 2-way merge
  138. Wed Oct 5 10:00:51 2022 reduce to 24232002 relation sets and 23355211 unique ideals
  139. Wed Oct 5 10:00:51 2022 commencing full merge
  140. Wed Oct 5 10:09:03 2022 memory use: 3177.0 MB
  141. Wed Oct 5 10:09:05 2022 found 10835076 cycles, need 10821411
  142. Wed Oct 5 10:09:08 2022 weight of 10821411 cycles is about 1298633196 (120.01/cycle)
  143. Wed Oct 5 10:09:08 2022 distribution of cycle lengths:
  144. Wed Oct 5 10:09:08 2022 1 relations: 657289
  145. Wed Oct 5 10:09:08 2022 2 relations: 729023
  146. Wed Oct 5 10:09:08 2022 3 relations: 767583
  147. Wed Oct 5 10:09:08 2022 4 relations: 765606
  148. Wed Oct 5 10:09:08 2022 5 relations: 776671
  149. Wed Oct 5 10:09:08 2022 6 relations: 760932
  150. Wed Oct 5 10:09:08 2022 7 relations: 745470
  151. Wed Oct 5 10:09:08 2022 8 relations: 709557
  152. Wed Oct 5 10:09:08 2022 9 relations: 667803
  153. Wed Oct 5 10:09:08 2022 10+ relations: 4241477
  154. Wed Oct 5 10:09:08 2022 heaviest cycle: 28 relations
  155. Wed Oct 5 10:09:11 2022 commencing cycle optimization
  156. Wed Oct 5 10:09:29 2022 start with 94960992 relations
  157. Wed Oct 5 10:12:34 2022 pruned 4478636 relations
  158. Wed Oct 5 10:12:34 2022 memory use: 2517.7 MB
  159. Wed Oct 5 10:12:35 2022 distribution of cycle lengths:
  160. Wed Oct 5 10:12:35 2022 1 relations: 657289
  161. Wed Oct 5 10:12:35 2022 2 relations: 746261
  162. Wed Oct 5 10:12:35 2022 3 relations: 798379
  163. Wed Oct 5 10:12:35 2022 4 relations: 796915
  164. Wed Oct 5 10:12:35 2022 5 relations: 815292
  165. Wed Oct 5 10:12:35 2022 6 relations: 797921
  166. Wed Oct 5 10:12:35 2022 7 relations: 785026
  167. Wed Oct 5 10:12:35 2022 8 relations: 744196
  168. Wed Oct 5 10:12:35 2022 9 relations: 701381
  169. Wed Oct 5 10:12:35 2022 10+ relations: 3978751
  170. Wed Oct 5 10:12:35 2022 heaviest cycle: 28 relations
  171. Wed Oct 5 10:12:56 2022 RelProcTime: 5978
  172. Wed Oct 5 10:12:56 2022
  173. Wed Oct 5 17:15:30 2022
  174. Wed Oct 5 17:15:30 2022 Msieve v. 1.54 (SVN 1044M)
  175. Wed Oct 5 17:15:30 2022 random seeds: 80753360 9896b7f9
  176. Wed Oct 5 17:15:30 2022 factoring 4487849528849322742479423745168653711324738985774913403224381060832884261299856002696991515300078883810194269384816276032531675031611350339460955093377981887727976150814972271321220207483134545019447746679 (205 digits)
  177. Wed Oct 5 17:15:30 2022 no P-1/P+1/ECM available, skipping
  178. Wed Oct 5 17:15:30 2022 commencing number field sieve (205-digit input)
  179. Wed Oct 5 17:15:30 2022 R0: 952007620815896289237318398880046834699
  180. Wed Oct 5 17:15:30 2022 R1: -1
  181. Wed Oct 5 17:15:30 2022 A0: -62478139
  182. Wed Oct 5 17:15:30 2022 A1: 0
  183. Wed Oct 5 17:15:30 2022 A2: 0
  184. Wed Oct 5 17:15:30 2022 A3: 0
  185. Wed Oct 5 17:15:30 2022 A4: 0
  186. Wed Oct 5 17:15:30 2022 A5: 0
  187. Wed Oct 5 17:15:30 2022 A6: 1
  188. Wed Oct 5 17:15:30 2022 skew 19.92, size 2.173e-12, alpha 1.943, combined = 2.200e-13 rroots = 2
  189. Wed Oct 5 17:15:30 2022
  190. Wed Oct 5 17:15:30 2022 commencing linear algebra
  191. Wed Oct 5 17:15:31 2022 read 10821229 cycles
  192. Wed Oct 5 17:15:49 2022 cycles contain 37004738 unique relations
  193. Wed Oct 5 17:18:43 2022 read 37004738 relations
  194. Wed Oct 5 17:19:44 2022 using 20 quadratic characters above 4294917295
  195. Wed Oct 5 17:22:04 2022 building initial matrix
  196. Wed Oct 5 17:28:59 2022 memory use: 4803.2 MB
  197. Wed Oct 5 17:29:03 2022 read 10821229 cycles
  198. Wed Oct 5 17:29:05 2022 matrix is 10821058 x 10821229 (5020.9 MB) with weight 1435863998 (132.69/col)
  199. Wed Oct 5 17:29:05 2022 sparse part has weight 1207977183 (111.63/col)
  200. Wed Oct 5 17:30:18 2022 filtering completed in 1 passes
  201. Wed Oct 5 17:30:20 2022 matrix is 10821058 x 10821229 (5020.9 MB) with weight 1435863998 (132.69/col)
  202. Wed Oct 5 17:30:20 2022 sparse part has weight 1207977183 (111.63/col)
  203. Wed Oct 5 17:30:47 2022 matrix starts at (0, 0)
  204. Wed Oct 5 17:30:48 2022 matrix is 10821058 x 10821229 (5020.9 MB) with weight 1435863998 (132.69/col)
  205. Wed Oct 5 17:30:48 2022 sparse part has weight 1207977183 (111.63/col)
  206. Wed Oct 5 17:30:48 2022 saving the first 240 matrix rows for later
  207. Wed Oct 5 17:30:50 2022 matrix includes 256 packed rows
  208. Wed Oct 5 17:30:54 2022 matrix is 10820818 x 10821229 (4662.2 MB) with weight 1103319671 (101.96/col)
  209. Wed Oct 5 17:30:54 2022 sparse part has weight 1049028095 (96.94/col)
  210. Wed Oct 5 17:30:54 2022 using block size 8192 and superblock size 147456 for processor cache size 6144 kB
  211. Wed Oct 5 17:31:24 2022 commencing Lanczos iteration (4 threads)
  212. Wed Oct 5 17:31:24 2022 memory use: 6409.8 MB
  213. Wed Oct 5 17:32:27 2022 linear algebra at 0.0%, ETA 105h56m
  214. Wed Oct 5 17:32:46 2022 checkpointing every 110000 dimensions
  215. Sun Oct 9 20:00:39 2022 lanczos halted after 42397 iterations (dim = 10820814)
  216. Sun Oct 9 20:01:52 2022 recovered 35 nontrivial dependencies
  217. Sun Oct 9 20:01:53 2022 BLanczosTime: 355583
  218. Sun Oct 9 20:01:53 2022
  219. Sun Oct 9 20:01:53 2022 commencing square root phase
  220. Sun Oct 9 20:01:53 2022 reading relations for dependency 1
  221. Sun Oct 9 20:01:54 2022 read 5409979 cycles
  222. Sun Oct 9 20:02:02 2022 cycles contain 18501526 unique relations
  223. Sun Oct 9 20:03:41 2022 read 18501526 relations
  224. Sun Oct 9 20:04:44 2022 multiplying 18501526 relations
  225. Sun Oct 9 20:15:20 2022 multiply complete, coefficients have about 512.27 million bits
  226. Sun Oct 9 20:15:21 2022 initial square root is modulo 1554833341
  227. Sun Oct 9 20:27:16 2022 sqrtTime: 1523
  228. Sun Oct 9 20:27:16 2022 p67 factor: 6406698900444443123737253464785802145900112338603725663690824915427
  229. Sun Oct 9 20:27:16 2022 p138 factor: 700493280328500114280892705990980466991738672395166052373821946032825162222828715546425411895573347561557705350625221486361536615400944477
  230. Sun Oct 9 20:27:16 2022 elapsed time 99:11:46
  231.  
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