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May 21st, 2021
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  1. Tue May 18 09:12:30 2021
  2. Tue May 18 09:12:30 2021
  3. Tue May 18 09:12:30 2021 Msieve v. 1.54 (SVN 1040M)
  4. Tue May 18 09:12:30 2021 random seeds: 10b7f646 c007281b
  5. Tue May 18 09:12:30 2021 factoring 225805666265241468334048078770592358946358006644755381756195448173811649350742094959934467701883037234653153571868100617570700121221503320758339383783057262850088153782670480783970364148996788533340605093228314615748671405815932548060445633133 (243 digits)
  6. Tue May 18 09:12:31 2021 searching for 15-digit factors
  7. Tue May 18 09:12:31 2021 commencing number field sieve (243-digit input)
  8. Tue May 18 09:12:31 2021 R0: 54763699237492901685126120802225273763666521
  9. Tue May 18 09:12:31 2021 R1: -227373675443232059478759765625
  10. Tue May 18 09:12:31 2021 A0: 11
  11. Tue May 18 09:12:31 2021 A1: 0
  12. Tue May 18 09:12:31 2021 A2: 0
  13. Tue May 18 09:12:31 2021 A3: 0
  14. Tue May 18 09:12:31 2021 A4: 0
  15. Tue May 18 09:12:31 2021 A5: 0
  16. Tue May 18 09:12:31 2021 A6: 5
  17. Tue May 18 09:12:31 2021 skew 1.14, size 6.070e-13, alpha 0.632, combined = 7.973e-14 rroots = 0
  18. Tue May 18 09:12:31 2021
  19. Tue May 18 09:12:31 2021 commencing relation filtering
  20. Tue May 18 09:12:31 2021 setting target matrix density to 124.0
  21. Tue May 18 09:12:31 2021 estimated available RAM is 32768.0 MB
  22. Tue May 18 09:12:31 2021 commencing duplicate removal, pass 1
  23. Tue May 18 09:31:15 2021 error -15 reading relation 167901395
  24. Tue May 18 09:35:14 2021 skipped 758 relations with b > 2^32
  25. Tue May 18 09:35:14 2021 skipped 2 relations with composite factors
  26. Tue May 18 09:35:14 2021 found 9127580 hash collisions in 204263644 relations
  27. Tue May 18 09:35:25 2021 added 1218719 free relations
  28. Tue May 18 09:35:25 2021 commencing duplicate removal, pass 2
  29. Tue May 18 09:44:05 2021 found 0 duplicates and 205482363 unique relations
  30. Tue May 18 09:44:05 2021 memory use: 522.4 MB
  31. Tue May 18 09:44:05 2021 reading ideals above 168624128
  32. Tue May 18 09:44:05 2021 commencing singleton removal, initial pass
  33. Tue May 18 10:00:30 2021 memory use: 5512.0 MB
  34. Tue May 18 10:00:30 2021 reading all ideals from disk
  35. Tue May 18 10:01:58 2021 memory use: 3764.0 MB
  36. Tue May 18 10:02:05 2021 commencing in-memory singleton removal
  37. Tue May 18 10:02:13 2021 begin with 205482363 relations and 164971220 unique ideals
  38. Tue May 18 10:03:36 2021 reduce to 146143983 relations and 100573457 ideals in 15 passes
  39. Tue May 18 10:03:36 2021 max relations containing the same ideal: 46
  40. Tue May 18 10:03:53 2021 reading ideals above 720000
  41. Tue May 18 10:03:53 2021 commencing singleton removal, initial pass
  42. Tue May 18 10:19:35 2021 memory use: 3012.0 MB
  43. Tue May 18 10:19:35 2021 reading all ideals from disk
  44. Tue May 18 10:21:55 2021 memory use: 6046.6 MB
  45. Tue May 18 10:22:08 2021 keeping 118655357 ideals with weight <= 200, target excess is 776146
  46. Tue May 18 10:22:22 2021 commencing in-memory singleton removal
  47. Tue May 18 10:22:33 2021 begin with 146143983 relations and 118655357 unique ideals
  48. Tue May 18 10:23:45 2021 reduce to 146140650 relations and 118652024 ideals in 7 passes
  49. Tue May 18 10:23:45 2021 max relations containing the same ideal: 200
  50. Tue May 18 10:24:44 2021 removing 10577456 relations and 8577456 ideals in 2000000 cliques
  51. Tue May 18 10:24:50 2021 commencing in-memory singleton removal
  52. Tue May 18 10:25:00 2021 begin with 135563194 relations and 118652024 unique ideals
  53. Tue May 18 10:26:05 2021 reduce to 134938139 relations and 109438337 ideals in 7 passes
  54. Tue May 18 10:26:05 2021 max relations containing the same ideal: 198
  55. Tue May 18 10:27:01 2021 removing 8151932 relations and 6151932 ideals in 2000000 cliques
  56. Tue May 18 10:27:05 2021 commencing in-memory singleton removal
  57. Tue May 18 10:27:15 2021 begin with 126786207 relations and 109438337 unique ideals
  58. Tue May 18 10:28:16 2021 reduce to 126368887 relations and 102862498 ideals in 7 passes
  59. Tue May 18 10:28:16 2021 max relations containing the same ideal: 193
  60. Tue May 18 10:29:09 2021 removing 7436063 relations and 5436063 ideals in 2000000 cliques
  61. Tue May 18 10:29:13 2021 commencing in-memory singleton removal
  62. Tue May 18 10:29:22 2021 begin with 118932824 relations and 102862498 unique ideals
  63. Tue May 18 10:30:28 2021 reduce to 118565774 relations and 97053615 ideals in 8 passes
  64. Tue May 18 10:30:28 2021 max relations containing the same ideal: 185
  65. Tue May 18 10:31:18 2021 removing 7075927 relations and 5075927 ideals in 2000000 cliques
  66. Tue May 18 10:31:22 2021 commencing in-memory singleton removal
  67. Tue May 18 10:31:30 2021 begin with 111489847 relations and 97053615 unique ideals
  68. Tue May 18 10:32:23 2021 reduce to 111142216 relations and 91624644 ideals in 7 passes
  69. Tue May 18 10:32:23 2021 max relations containing the same ideal: 181
  70. Tue May 18 10:33:10 2021 removing 6855019 relations and 4855019 ideals in 2000000 cliques
  71. Tue May 18 10:33:14 2021 commencing in-memory singleton removal
  72. Tue May 18 10:33:22 2021 begin with 104287197 relations and 91624644 unique ideals
  73. Tue May 18 10:34:12 2021 reduce to 103947737 relations and 86424551 ideals in 7 passes
  74. Tue May 18 10:34:12 2021 max relations containing the same ideal: 173
  75. Tue May 18 10:34:56 2021 removing 6715175 relations and 4715175 ideals in 2000000 cliques
  76. Tue May 18 10:34:59 2021 commencing in-memory singleton removal
  77. Tue May 18 10:35:07 2021 begin with 97232562 relations and 86424551 unique ideals
  78. Tue May 18 10:35:53 2021 reduce to 96891589 relations and 81362503 ideals in 7 passes
  79. Tue May 18 10:35:53 2021 max relations containing the same ideal: 163
  80. Tue May 18 10:36:35 2021 removing 6619974 relations and 4619974 ideals in 2000000 cliques
  81. Tue May 18 10:36:39 2021 commencing in-memory singleton removal
  82. Tue May 18 10:36:45 2021 begin with 90271615 relations and 81362503 unique ideals
  83. Tue May 18 10:37:28 2021 reduce to 89923676 relations and 76388208 ideals in 7 passes
  84. Tue May 18 10:37:28 2021 max relations containing the same ideal: 154
  85. Tue May 18 10:38:07 2021 removing 6559890 relations and 4559890 ideals in 2000000 cliques
  86. Tue May 18 10:38:10 2021 commencing in-memory singleton removal
  87. Tue May 18 10:38:16 2021 begin with 83363786 relations and 76388208 unique ideals
  88. Tue May 18 10:38:55 2021 reduce to 83004677 relations and 71462233 ideals in 7 passes
  89. Tue May 18 10:38:55 2021 max relations containing the same ideal: 147
  90. Tue May 18 10:39:30 2021 removing 6522971 relations and 4522971 ideals in 2000000 cliques
  91. Tue May 18 10:39:34 2021 commencing in-memory singleton removal
  92. Tue May 18 10:39:39 2021 begin with 76481706 relations and 71462233 unique ideals
  93. Tue May 18 10:40:20 2021 reduce to 76104702 relations and 66554534 ideals in 8 passes
  94. Tue May 18 10:40:20 2021 max relations containing the same ideal: 141
  95. Tue May 18 10:40:54 2021 removing 6507201 relations and 4507201 ideals in 2000000 cliques
  96. Tue May 18 10:40:57 2021 commencing in-memory singleton removal
  97. Tue May 18 10:41:02 2021 begin with 69597501 relations and 66554534 unique ideals
  98. Tue May 18 10:41:34 2021 reduce to 69195079 relations and 61635895 ideals in 7 passes
  99. Tue May 18 10:41:34 2021 max relations containing the same ideal: 132
  100. Tue May 18 10:42:04 2021 removing 6504868 relations and 4504868 ideals in 2000000 cliques
  101. Tue May 18 10:42:07 2021 commencing in-memory singleton removal
  102. Tue May 18 10:42:11 2021 begin with 62690211 relations and 61635895 unique ideals
  103. Tue May 18 10:42:40 2021 reduce to 62255020 relations and 56685131 ideals in 7 passes
  104. Tue May 18 10:42:40 2021 max relations containing the same ideal: 124
  105. Tue May 18 10:43:08 2021 removing 6522430 relations and 4522430 ideals in 2000000 cliques
  106. Tue May 18 10:43:11 2021 commencing in-memory singleton removal
  107. Tue May 18 10:43:15 2021 begin with 55732590 relations and 56685131 unique ideals
  108. Tue May 18 10:43:44 2021 reduce to 55251942 relations and 51669050 ideals in 8 passes
  109. Tue May 18 10:43:44 2021 max relations containing the same ideal: 116
  110. Tue May 18 10:44:09 2021 removing 6557381 relations and 4557381 ideals in 2000000 cliques
  111. Tue May 18 10:44:11 2021 commencing in-memory singleton removal
  112. Tue May 18 10:44:15 2021 begin with 48694561 relations and 51669050 unique ideals
  113. Tue May 18 10:44:40 2021 reduce to 48147262 relations and 46547499 ideals in 8 passes
  114. Tue May 18 10:44:40 2021 max relations containing the same ideal: 103
  115. Tue May 18 10:45:01 2021 removing 2829369 relations and 2129936 ideals in 699433 cliques
  116. Tue May 18 10:45:03 2021 commencing in-memory singleton removal
  117. Tue May 18 10:45:06 2021 begin with 45317893 relations and 46547499 unique ideals
  118. Tue May 18 10:45:26 2021 reduce to 45204395 relations and 44302645 ideals in 7 passes
  119. Tue May 18 10:45:26 2021 max relations containing the same ideal: 99
  120. Tue May 18 10:45:52 2021 relations with 0 large ideals: 29411
  121. Tue May 18 10:45:52 2021 relations with 1 large ideals: 7979
  122. Tue May 18 10:45:52 2021 relations with 2 large ideals: 95925
  123. Tue May 18 10:45:52 2021 relations with 3 large ideals: 712282
  124. Tue May 18 10:45:52 2021 relations with 4 large ideals: 2903579
  125. Tue May 18 10:45:52 2021 relations with 5 large ideals: 7161981
  126. Tue May 18 10:45:52 2021 relations with 6 large ideals: 11186932
  127. Tue May 18 10:45:52 2021 relations with 7+ large ideals: 23106306
  128. Tue May 18 10:45:52 2021 commencing 2-way merge
  129. Tue May 18 10:46:21 2021 reduce to 30594131 relation sets and 29692381 unique ideals
  130. Tue May 18 10:46:21 2021 commencing full merge
  131. Tue May 18 10:58:54 2021 memory use: 4069.7 MB
  132. Tue May 18 10:59:02 2021 found 13887736 cycles, need 13840581
  133. Tue May 18 10:59:02 2021 weight of 13840581 cycles is about 1716758481 (124.04/cycle)
  134. Tue May 18 10:59:02 2021 distribution of cycle lengths:
  135. Tue May 18 10:59:02 2021 1 relations: 518449
  136. Tue May 18 10:59:02 2021 2 relations: 817308
  137. Tue May 18 10:59:02 2021 3 relations: 980090
  138. Tue May 18 10:59:02 2021 4 relations: 1026817
  139. Tue May 18 10:59:02 2021 5 relations: 1050724
  140. Tue May 18 10:59:02 2021 6 relations: 1042532
  141. Tue May 18 10:59:02 2021 7 relations: 1019066
  142. Tue May 18 10:59:02 2021 8 relations: 971423
  143. Tue May 18 10:59:02 2021 9 relations: 912887
  144. Tue May 18 10:59:02 2021 10+ relations: 5501285
  145. Tue May 18 10:59:02 2021 heaviest cycle: 28 relations
  146. Tue May 18 10:59:09 2021 commencing cycle optimization
  147. Tue May 18 10:59:42 2021 start with 122271635 relations
  148. Tue May 18 11:05:20 2021 pruned 6079735 relations
  149. Tue May 18 11:05:20 2021 memory use: 3146.6 MB
  150. Tue May 18 11:05:20 2021 distribution of cycle lengths:
  151. Tue May 18 11:05:20 2021 1 relations: 518449
  152. Tue May 18 11:05:20 2021 2 relations: 839176
  153. Tue May 18 11:05:20 2021 3 relations: 1025582
  154. Tue May 18 11:05:20 2021 4 relations: 1073643
  155. Tue May 18 11:05:20 2021 5 relations: 1108476
  156. Tue May 18 11:05:20 2021 6 relations: 1097590
  157. Tue May 18 11:05:20 2021 7 relations: 1076971
  158. Tue May 18 11:05:20 2021 8 relations: 1021169
  159. Tue May 18 11:05:20 2021 9 relations: 958868
  160. Tue May 18 11:05:20 2021 10+ relations: 5120657
  161. Tue May 18 11:05:20 2021 heaviest cycle: 28 relations
  162. Tue May 18 11:06:05 2021 RelProcTime: 6814
  163. Tue May 18 11:06:05 2021
  164. Tue May 18 11:06:05 2021 commencing linear algebra
  165. Tue May 18 11:06:07 2021 read 13840581 cycles
  166. Tue May 18 11:06:39 2021 cycles contain 44767097 unique relations
  167. Tue May 18 11:19:45 2021 read 44767097 relations
  168. Tue May 18 11:21:47 2021 using 20 quadratic characters above 4294917295
  169. Tue May 18 11:24:41 2021 building initial matrix
  170. Tue May 18 11:33:14 2021 memory use: 5873.5 MB
  171. Tue May 18 11:35:59 2021 read 13840581 cycles
  172. Tue May 18 11:36:01 2021 matrix is 13840404 x 13840581 (6665.2 MB) with weight 1910616847 (138.04/col)
  173. Tue May 18 11:36:01 2021 sparse part has weight 1594991081 (115.24/col)
  174. Tue May 18 11:38:38 2021 filtering completed in 2 passes
  175. Tue May 18 11:38:40 2021 matrix is 13840249 x 13840426 (6665.2 MB) with weight 1910611536 (138.05/col)
  176. Tue May 18 11:38:40 2021 sparse part has weight 1594989317 (115.24/col)
  177. Tue May 18 11:41:53 2021 matrix starts at (0, 0)
  178. Tue May 18 11:41:55 2021 matrix is 13840249 x 13840426 (6665.2 MB) with weight 1910611536 (138.05/col)
  179. Tue May 18 11:41:55 2021 sparse part has weight 1594989317 (115.24/col)
  180. Tue May 18 11:41:55 2021 saving the first 48 matrix rows for later
  181. Tue May 18 11:41:57 2021 matrix includes 64 packed rows
  182. Tue May 18 11:41:58 2021 matrix is 13840201 x 13840426 (6423.3 MB) with weight 1649022128 (119.15/col)
  183. Tue May 18 11:41:58 2021 sparse part has weight 1545420899 (111.66/col)
  184. Tue May 18 11:41:58 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  185. Tue May 18 11:42:54 2021 commencing Lanczos iteration (16 threads)
  186. Tue May 18 11:42:54 2021 memory use: 6136.6 MB
  187. Tue May 18 11:43:15 2021 linear algebra at 0.0%, ETA 50h42m
  188. Tue May 18 11:43:21 2021 checkpointing every 280000 dimensions
  189. Wed May 19 08:19:02 2021 lanczos halted after 67244 iterations (dim = 4252322)
  190. Wed May 19 08:19:06 2021 BLanczosTime: 76381
  191. Wed May 19 08:19:06 2021
  192. Wed May 19 08:19:06 2021 commencing square root phase
  193. Wed May 19 08:19:06 2021 handling dependencies 1 to 64
  194. Wed May 19 08:19:06 2021 reading relations for dependency 1
  195. Wed May 19 08:19:06 2021 error: read_cycles can't open dependency file
  196. Wed May 19 08:19:38 2021
  197. Wed May 19 08:19:38 2021
  198. Wed May 19 08:19:38 2021 Msieve v. 1.54 (SVN 1040M)
  199. Wed May 19 08:19:38 2021 random seeds: cb2c05a9 57cb294e
  200. Wed May 19 08:19:38 2021 factoring 225805666265241468334048078770592358946358006644755381756195448173811649350742094959934467701883037234653153571868100617570700121221503320758339383783057262850088153782670480783970364148996788533340605093228314615748671405815932548060445633133 (243 digits)
  201. Wed May 19 08:19:39 2021 searching for 15-digit factors
  202. Wed May 19 08:19:39 2021 commencing number field sieve (243-digit input)
  203. Wed May 19 08:19:39 2021 R0: 54763699237492901685126120802225273763666521
  204. Wed May 19 08:19:39 2021 R1: -227373675443232059478759765625
  205. Wed May 19 08:19:39 2021 A0: 11
  206. Wed May 19 08:19:39 2021 A1: 0
  207. Wed May 19 08:19:39 2021 A2: 0
  208. Wed May 19 08:19:39 2021 A3: 0
  209. Wed May 19 08:19:39 2021 A4: 0
  210. Wed May 19 08:19:39 2021 A5: 0
  211. Wed May 19 08:19:39 2021 A6: 5
  212. Wed May 19 08:19:39 2021 skew 1.14, size 6.070e-13, alpha 0.632, combined = 7.973e-14 rroots = 0
  213. Wed May 19 08:19:39 2021
  214. Wed May 19 08:19:39 2021 commencing linear algebra
  215. Wed May 19 08:22:05 2021 matrix starts at (0, 0)
  216. Wed May 19 08:22:06 2021 matrix is 13840249 x 13840426 (6665.2 MB) with weight 1910611536 (138.05/col)
  217. Wed May 19 08:22:06 2021 sparse part has weight 1594989317 (115.24/col)
  218. Wed May 19 08:22:06 2021 saving the first 48 matrix rows for later
  219. Wed May 19 08:22:08 2021 matrix includes 64 packed rows
  220. Wed May 19 08:22:09 2021 matrix is 13840201 x 13840426 (6423.3 MB) with weight 1649022128 (119.15/col)
  221. Wed May 19 08:22:09 2021 sparse part has weight 1545420899 (111.66/col)
  222. Wed May 19 08:22:09 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  223. Wed May 19 08:23:05 2021 commencing Lanczos iteration (16 threads)
  224. Wed May 19 08:23:05 2021 memory use: 6136.6 MB
  225. Wed May 19 08:23:05 2021 restarting at iteration 67244 (dim = 4252322)
  226. Wed May 19 08:23:25 2021 linear algebra at 30.7%, ETA 35h 3m
  227. Wed May 19 08:23:27 2021 checkpointing every 280000 dimensions
  228. Wed May 19 09:57:46 2021 lanczos halted after 74212 iterations (dim = 4692810)
  229. Wed May 19 09:57:50 2021 BLanczosTime: 5891
  230. Wed May 19 09:57:50 2021
  231. Wed May 19 09:57:50 2021 commencing square root phase
  232. Wed May 19 09:57:50 2021 reading relations for dependency 1
  233. Wed May 19 09:57:50 2021 error: read_cycles can't open dependency file
  234. Wed May 19 10:05:21 2021
  235. Wed May 19 10:05:21 2021
  236. Wed May 19 10:05:21 2021 Msieve v. 1.54 (SVN 1040M)
  237. Wed May 19 10:05:21 2021 random seeds: 5ef4b9a0 9db28ccf
  238. Wed May 19 10:05:21 2021 factoring 225805666265241468334048078770592358946358006644755381756195448173811649350742094959934467701883037234653153571868100617570700121221503320758339383783057262850088153782670480783970364148996788533340605093228314615748671405815932548060445633133 (243 digits)
  239. Wed May 19 10:05:22 2021 searching for 15-digit factors
  240. Wed May 19 10:05:22 2021 commencing number field sieve (243-digit input)
  241. Wed May 19 10:05:22 2021 R0: 54763699237492901685126120802225273763666521
  242. Wed May 19 10:05:22 2021 R1: -227373675443232059478759765625
  243. Wed May 19 10:05:22 2021 A0: 11
  244. Wed May 19 10:05:22 2021 A1: 0
  245. Wed May 19 10:05:22 2021 A2: 0
  246. Wed May 19 10:05:22 2021 A3: 0
  247. Wed May 19 10:05:22 2021 A4: 0
  248. Wed May 19 10:05:22 2021 A5: 0
  249. Wed May 19 10:05:22 2021 A6: 5
  250. Wed May 19 10:05:22 2021 skew 1.14, size 6.070e-13, alpha 0.632, combined = 7.973e-14 rroots = 0
  251. Wed May 19 10:05:22 2021
  252. Wed May 19 10:05:22 2021 commencing linear algebra
  253. Wed May 19 10:07:48 2021 matrix starts at (0, 0)
  254. Wed May 19 10:07:49 2021 matrix is 13840249 x 13840426 (6665.2 MB) with weight 1910611536 (138.05/col)
  255. Wed May 19 10:07:49 2021 sparse part has weight 1594989317 (115.24/col)
  256. Wed May 19 10:07:49 2021 saving the first 48 matrix rows for later
  257. Wed May 19 10:07:51 2021 matrix includes 64 packed rows
  258. Wed May 19 10:07:53 2021 matrix is 13840201 x 13840426 (6423.3 MB) with weight 1649022128 (119.15/col)
  259. Wed May 19 10:07:53 2021 sparse part has weight 1545420899 (111.66/col)
  260. Wed May 19 10:07:53 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  261. Wed May 19 10:08:48 2021 commencing Lanczos iteration (16 threads)
  262. Wed May 19 10:08:48 2021 memory use: 6136.6 MB
  263. Wed May 19 10:09:00 2021 restarting at iteration 74212 (dim = 4692810)
  264. Wed May 19 10:09:15 2021 checkpointing every 290000 dimensions
  265. Wed May 19 10:09:19 2021 linear algebra at 33.9%, ETA 31h49m
  266. Thu May 20 18:00:58 2021 lanczos halted after 218868 iterations (dim = 13840199)
  267. Thu May 20 18:01:11 2021 recovered 34 nontrivial dependencies
  268. Thu May 20 18:01:17 2021 BLanczosTime: 114955
  269. Thu May 20 18:01:17 2021
  270. Thu May 20 18:01:17 2021 commencing square root phase
  271. Thu May 20 18:01:17 2021 reading relations for dependency 1
  272. Thu May 20 18:01:29 2021 read 6919478 cycles
  273. Thu May 20 18:01:43 2021 cycles contain 22381984 unique relations
  274. Thu May 20 18:10:23 2021 read 22381984 relations
  275. Thu May 20 18:12:04 2021 multiplying 22381984 relations
  276. Thu May 20 18:25:38 2021 multiply complete, coefficients have about 640.24 million bits
  277. Thu May 20 18:25:39 2021 initial square root is modulo 554611
  278. Thu May 20 18:39:31 2021 sqrtTime: 2294
  279. Thu May 20 18:39:31 2021 p61 factor: 2431111417510092886627866877154305717347222560597974156970779
  280. Thu May 20 18:39:31 2021 p182 factor: 92881660889285023589785575114857005740736162094695344931434837831982727975775577508144144448105710855807456876869634756919820118052791865688507061210134592689021240999910513785499927
  281. Thu May 20 18:39:31 2021 elapsed time 32:34:10
  282.  
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