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Msieve log of 9m5_269

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Jul 21st, 2021
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  1. Sat Jul 10 21:54:17 2021
  2. Sat Jul 10 21:54:17 2021
  3. Sat Jul 10 21:54:17 2021 Msieve v. 1.52 (SVN unknown)
  4. Sat Jul 10 21:54:17 2021 random seeds: 602bdc3c 53ffc802
  5. Sat Jul 10 21:54:17 2021 factoring 171697369402837611602998642894343127872675792094475603946224440962050440725770293093513756835696006862516902304639352773595537459902372952132556149464409413347734716547677421184072562074529349264991470340222787279 (213 digits)
  6. Sat Jul 10 21:54:18 2021 no P-1/P+1/ECM available, skipping
  7. Sat Jul 10 21:54:18 2021 commencing number field sieve (213-digit input)
  8. Sat Jul 10 21:54:18 2021 R0: 8727963568087712425891397479476727340041449
  9. Sat Jul 10 21:54:18 2021 R1: -28421709430404007434844970703125
  10. Sat Jul 10 21:54:18 2021 A0: -9
  11. Sat Jul 10 21:54:18 2021 A1: 0
  12. Sat Jul 10 21:54:18 2021 A2: 0
  13. Sat Jul 10 21:54:18 2021 A3: 0
  14. Sat Jul 10 21:54:18 2021 A4: 0
  15. Sat Jul 10 21:54:18 2021 A5: 0
  16. Sat Jul 10 21:54:18 2021 A6: 5
  17. Sat Jul 10 21:54:18 2021 skew 1.10, size 9.873e-013, alpha 1.204, combined = 1.144e-013 rroots = 2
  18. Sat Jul 10 21:54:18 2021
  19. Sat Jul 10 21:54:18 2021 commencing relation filtering
  20. Sat Jul 10 21:54:18 2021 setting target matrix density to 122.0
  21. Sat Jul 10 21:54:18 2021 estimated available RAM is 16289.0 MB
  22. Sat Jul 10 21:54:18 2021 commencing duplicate removal, pass 1
  23. Sat Jul 10 21:54:44 2021 error -9 reading relation 3115724
  24. Sat Jul 10 21:55:27 2021 error -9 reading relation 8107051
  25. Sat Jul 10 21:55:31 2021 error -9 reading relation 8603158
  26. Sat Jul 10 21:55:56 2021 error -11 reading relation 11564413
  27. Sat Jul 10 21:55:57 2021 error -15 reading relation 11584621
  28. Sat Jul 10 22:32:24 2021 error -15 reading relation 261950389
  29. Sat Jul 10 22:32:25 2021 error -1 reading relation 262033691
  30. Sat Jul 10 22:32:34 2021 error -9 reading relation 263115750
  31. Sat Jul 10 22:32:35 2021 error -1 reading relation 263121904
  32. Sat Jul 10 22:32:43 2021 skipped 548 relations with b > 2^32
  33. Sat Jul 10 22:32:43 2021 found 55596611 hash collisions in 264188388 relations
  34. Sat Jul 10 22:33:09 2021 added 1218485 free relations
  35. Sat Jul 10 22:33:09 2021 commencing duplicate removal, pass 2
  36. Sat Jul 10 22:40:51 2021 found 56965979 duplicates and 208440894 unique relations
  37. Sat Jul 10 22:40:51 2021 memory use: 1449.5 MB
  38. Sat Jul 10 22:40:51 2021 reading ideals above 169934848
  39. Sat Jul 10 22:40:51 2021 commencing singleton removal, initial pass
  40. Sat Jul 10 23:14:33 2021 memory use: 5512.0 MB
  41. Sat Jul 10 23:14:33 2021 reading all ideals from disk
  42. Sat Jul 10 23:14:35 2021 memory use: 3630.8 MB
  43. Sat Jul 10 23:14:42 2021 commencing in-memory singleton removal
  44. Sat Jul 10 23:14:49 2021 begin with 208440894 relations and 164096229 unique ideals
  45. Sat Jul 10 23:16:09 2021 reduce to 149167682 relations and 99818439 ideals in 13 passes
  46. Sat Jul 10 23:16:09 2021 max relations containing the same ideal: 44
  47. Sat Jul 10 23:16:20 2021 reading ideals above 720000
  48. Sat Jul 10 23:16:20 2021 commencing singleton removal, initial pass
  49. Sat Jul 10 23:46:24 2021 memory use: 3012.0 MB
  50. Sat Jul 10 23:46:25 2021 reading all ideals from disk
  51. Sat Jul 10 23:46:27 2021 memory use: 6129.8 MB
  52. Sat Jul 10 23:46:43 2021 keeping 118028897 ideals with weight <= 200, target excess is 789198
  53. Sat Jul 10 23:47:01 2021 commencing in-memory singleton removal
  54. Sat Jul 10 23:47:13 2021 begin with 149167682 relations and 118028897 unique ideals
  55. Sat Jul 10 23:48:20 2021 reduce to 149164609 relations and 118025824 ideals in 5 passes
  56. Sat Jul 10 23:48:20 2021 max relations containing the same ideal: 200
  57. Sat Jul 10 23:49:23 2021 removing 10199108 relations and 8199108 ideals in 2000000 cliques
  58. Sat Jul 10 23:49:26 2021 commencing in-memory singleton removal
  59. Sat Jul 10 23:49:37 2021 begin with 138965501 relations and 118025824 unique ideals
  60. Sat Jul 10 23:51:03 2021 reduce to 138413425 relations and 109265145 ideals in 7 passes
  61. Sat Jul 10 23:51:03 2021 max relations containing the same ideal: 198
  62. Sat Jul 10 23:52:03 2021 removing 7856255 relations and 5856255 ideals in 2000000 cliques
  63. Sat Jul 10 23:52:05 2021 commencing in-memory singleton removal
  64. Sat Jul 10 23:52:16 2021 begin with 130557170 relations and 109265145 unique ideals
  65. Sat Jul 10 23:53:47 2021 reduce to 130185624 relations and 103031687 ideals in 8 passes
  66. Sat Jul 10 23:53:47 2021 max relations containing the same ideal: 192
  67. Sat Jul 10 23:54:43 2021 removing 7170426 relations and 5170426 ideals in 2000000 cliques
  68. Sat Jul 10 23:54:46 2021 commencing in-memory singleton removal
  69. Sat Jul 10 23:54:56 2021 begin with 123015198 relations and 103031687 unique ideals
  70. Sat Jul 10 23:56:11 2021 reduce to 122688160 relations and 97529371 ideals in 7 passes
  71. Sat Jul 10 23:56:11 2021 max relations containing the same ideal: 187
  72. Sat Jul 10 23:57:03 2021 removing 6817984 relations and 4817984 ideals in 2000000 cliques
  73. Sat Jul 10 23:57:06 2021 commencing in-memory singleton removal
  74. Sat Jul 10 23:57:15 2021 begin with 115870176 relations and 97529371 unique ideals
  75. Sat Jul 10 23:58:26 2021 reduce to 115564198 relations and 92400757 ideals in 7 passes
  76. Sat Jul 10 23:58:26 2021 max relations containing the same ideal: 180
  77. Sat Jul 10 23:59:16 2021 removing 6606511 relations and 4606511 ideals in 2000000 cliques
  78. Sat Jul 10 23:59:19 2021 commencing in-memory singleton removal
  79. Sat Jul 10 23:59:27 2021 begin with 108957687 relations and 92400757 unique ideals
  80. Sun Jul 11 00:00:33 2021 reduce to 108661006 relations and 87492874 ideals in 7 passes
  81. Sun Jul 11 00:00:33 2021 max relations containing the same ideal: 172
  82. Sun Jul 11 00:01:21 2021 removing 6466099 relations and 4466099 ideals in 2000000 cliques
  83. Sun Jul 11 00:01:23 2021 commencing in-memory singleton removal
  84. Sun Jul 11 00:01:31 2021 begin with 102194907 relations and 87492874 unique ideals
  85. Sun Jul 11 00:02:24 2021 reduce to 101898020 relations and 82724925 ideals in 6 passes
  86. Sun Jul 11 00:02:24 2021 max relations containing the same ideal: 167
  87. Sun Jul 11 00:03:09 2021 removing 6371033 relations and 4371033 ideals in 2000000 cliques
  88. Sun Jul 11 00:03:11 2021 commencing in-memory singleton removal
  89. Sun Jul 11 00:03:18 2021 begin with 95526987 relations and 82724925 unique ideals
  90. Sun Jul 11 00:04:15 2021 reduce to 95226208 relations and 78047775 ideals in 7 passes
  91. Sun Jul 11 00:04:15 2021 max relations containing the same ideal: 158
  92. Sun Jul 11 00:04:57 2021 removing 6304557 relations and 4304557 ideals in 2000000 cliques
  93. Sun Jul 11 00:05:00 2021 commencing in-memory singleton removal
  94. Sun Jul 11 00:05:06 2021 begin with 88921651 relations and 78047775 unique ideals
  95. Sun Jul 11 00:05:52 2021 reduce to 88610470 relations and 73426212 ideals in 6 passes
  96. Sun Jul 11 00:05:52 2021 max relations containing the same ideal: 151
  97. Sun Jul 11 00:06:31 2021 removing 6267467 relations and 4267467 ideals in 2000000 cliques
  98. Sun Jul 11 00:06:33 2021 commencing in-memory singleton removal
  99. Sun Jul 11 00:06:40 2021 begin with 82343003 relations and 73426212 unique ideals
  100. Sun Jul 11 00:07:28 2021 reduce to 82019025 relations and 68828444 ideals in 7 passes
  101. Sun Jul 11 00:07:28 2021 max relations containing the same ideal: 146
  102. Sun Jul 11 00:08:05 2021 removing 6255822 relations and 4255822 ideals in 2000000 cliques
  103. Sun Jul 11 00:08:07 2021 commencing in-memory singleton removal
  104. Sun Jul 11 00:08:13 2021 begin with 75763203 relations and 68828444 unique ideals
  105. Sun Jul 11 00:08:57 2021 reduce to 75419401 relations and 64221642 ideals in 7 passes
  106. Sun Jul 11 00:08:57 2021 max relations containing the same ideal: 136
  107. Sun Jul 11 00:09:31 2021 removing 6255648 relations and 4255648 ideals in 2000000 cliques
  108. Sun Jul 11 00:09:33 2021 commencing in-memory singleton removal
  109. Sun Jul 11 00:09:39 2021 begin with 69163753 relations and 64221642 unique ideals
  110. Sun Jul 11 00:10:19 2021 reduce to 68797123 relations and 59590882 ideals in 7 passes
  111. Sun Jul 11 00:10:19 2021 max relations containing the same ideal: 128
  112. Sun Jul 11 00:10:51 2021 removing 6267133 relations and 4267133 ideals in 2000000 cliques
  113. Sun Jul 11 00:10:53 2021 commencing in-memory singleton removal
  114. Sun Jul 11 00:10:58 2021 begin with 62529990 relations and 59590882 unique ideals
  115. Sun Jul 11 00:11:39 2021 reduce to 62129554 relations and 54913265 ideals in 8 passes
  116. Sun Jul 11 00:11:39 2021 max relations containing the same ideal: 120
  117. Sun Jul 11 00:12:07 2021 removing 6304229 relations and 4304229 ideals in 2000000 cliques
  118. Sun Jul 11 00:12:09 2021 commencing in-memory singleton removal
  119. Sun Jul 11 00:12:13 2021 begin with 55825325 relations and 54913265 unique ideals
  120. Sun Jul 11 00:12:45 2021 reduce to 55382001 relations and 50153752 ideals in 7 passes
  121. Sun Jul 11 00:12:45 2021 max relations containing the same ideal: 112
  122. Sun Jul 11 00:13:11 2021 removing 6346463 relations and 4346463 ideals in 2000000 cliques
  123. Sun Jul 11 00:13:12 2021 commencing in-memory singleton removal
  124. Sun Jul 11 00:13:16 2021 begin with 49035538 relations and 50153752 unique ideals
  125. Sun Jul 11 00:13:44 2021 reduce to 48534227 relations and 45290867 ideals in 7 passes
  126. Sun Jul 11 00:13:44 2021 max relations containing the same ideal: 104
  127. Sun Jul 11 00:14:06 2021 removing 6409068 relations and 4409068 ideals in 2000000 cliques
  128. Sun Jul 11 00:14:08 2021 commencing in-memory singleton removal
  129. Sun Jul 11 00:14:11 2021 begin with 42125159 relations and 45290867 unique ideals
  130. Sun Jul 11 00:14:38 2021 reduce to 41538934 relations and 40274962 ideals in 8 passes
  131. Sun Jul 11 00:14:38 2021 max relations containing the same ideal: 91
  132. Sun Jul 11 00:14:57 2021 removing 1561248 relations and 1212746 ideals in 348502 cliques
  133. Sun Jul 11 00:14:58 2021 commencing in-memory singleton removal
  134. Sun Jul 11 00:15:01 2021 begin with 39977686 relations and 40274962 unique ideals
  135. Sun Jul 11 00:15:17 2021 reduce to 39936409 relations and 39020627 ideals in 5 passes
  136. Sun Jul 11 00:15:17 2021 max relations containing the same ideal: 89
  137. Sun Jul 11 00:15:41 2021 relations with 0 large ideals: 29580
  138. Sun Jul 11 00:15:41 2021 relations with 1 large ideals: 9272
  139. Sun Jul 11 00:15:41 2021 relations with 2 large ideals: 107952
  140. Sun Jul 11 00:15:41 2021 relations with 3 large ideals: 767133
  141. Sun Jul 11 00:15:41 2021 relations with 4 large ideals: 2975961
  142. Sun Jul 11 00:15:41 2021 relations with 5 large ideals: 6937819
  143. Sun Jul 11 00:15:41 2021 relations with 6 large ideals: 10213357
  144. Sun Jul 11 00:15:41 2021 relations with 7+ large ideals: 18895335
  145. Sun Jul 11 00:15:41 2021 commencing 2-way merge
  146. Sun Jul 11 00:16:07 2021 reduce to 26822905 relation sets and 25907123 unique ideals
  147. Sun Jul 11 00:16:07 2021 commencing full merge
  148. Sun Jul 11 00:29:22 2021 memory use: 3595.6 MB
  149. Sun Jul 11 00:29:28 2021 found 12216019 cycles, need 12159323
  150. Sun Jul 11 00:29:29 2021 weight of 12159323 cycles is about 1484022979 (122.05/cycle)
  151. Sun Jul 11 00:29:29 2021 distribution of cycle lengths:
  152. Sun Jul 11 00:29:29 2021 1 relations: 457145
  153. Sun Jul 11 00:29:29 2021 2 relations: 703775
  154. Sun Jul 11 00:29:29 2021 3 relations: 843096
  155. Sun Jul 11 00:29:29 2021 4 relations: 887802
  156. Sun Jul 11 00:29:29 2021 5 relations: 913389
  157. Sun Jul 11 00:29:29 2021 6 relations: 911808
  158. Sun Jul 11 00:29:29 2021 7 relations: 898402
  159. Sun Jul 11 00:29:29 2021 8 relations: 859394
  160. Sun Jul 11 00:29:29 2021 9 relations: 806390
  161. Sun Jul 11 00:29:29 2021 10+ relations: 4878122
  162. Sun Jul 11 00:29:29 2021 heaviest cycle: 28 relations
  163. Sun Jul 11 00:29:45 2021 commencing cycle optimization
  164. Sun Jul 11 00:30:08 2021 start with 107936622 relations
  165. Sun Jul 11 00:35:33 2021 pruned 5374992 relations
  166. Sun Jul 11 00:35:33 2021 memory use: 2777.1 MB
  167. Sun Jul 11 00:35:33 2021 distribution of cycle lengths:
  168. Sun Jul 11 00:35:33 2021 1 relations: 457145
  169. Sun Jul 11 00:35:33 2021 2 relations: 721906
  170. Sun Jul 11 00:35:33 2021 3 relations: 880648
  171. Sun Jul 11 00:35:33 2021 4 relations: 928065
  172. Sun Jul 11 00:35:33 2021 5 relations: 963709
  173. Sun Jul 11 00:35:33 2021 6 relations: 961112
  174. Sun Jul 11 00:35:33 2021 7 relations: 949744
  175. Sun Jul 11 00:35:33 2021 8 relations: 904889
  176. Sun Jul 11 00:35:33 2021 9 relations: 848644
  177. Sun Jul 11 00:35:33 2021 10+ relations: 4543461
  178. Sun Jul 11 00:35:33 2021 heaviest cycle: 28 relations
  179. Sun Jul 11 00:36:00 2021 RelProcTime: 9702
  180. Sun Jul 11 00:36:00 2021
  181. Sun Jul 11 00:36:00 2021 commencing linear algebra
  182. Sun Jul 11 00:36:03 2021 read 12159323 cycles
  183. Sun Jul 11 00:36:27 2021 cycles contain 39515528 unique relations
  184. Sun Jul 11 00:44:35 2021 read 39515528 relations
  185. Sun Jul 11 00:45:53 2021 using 20 quadratic characters above 2147483400
  186. Sun Jul 11 00:48:34 2021 building initial matrix
  187. Sun Jul 11 00:57:15 2021 memory use: 5101.4 MB
  188. Sun Jul 11 00:57:38 2021 read 12159323 cycles
  189. Sun Jul 11 00:57:42 2021 matrix is 12159146 x 12159323 (5773.5 MB) with weight 1654814245 (136.09/col)
  190. Sun Jul 11 00:57:42 2021 sparse part has weight 1379726482 (113.47/col)
  191. Sun Jul 11 01:00:20 2021 filtering completed in 2 passes
  192. Sun Jul 11 01:00:24 2021 matrix is 12159001 x 12159178 (5773.4 MB) with weight 1654808484 (136.10/col)
  193. Sun Jul 11 01:00:24 2021 sparse part has weight 1379724076 (113.47/col)
  194. Sun Jul 11 01:02:11 2021 matrix starts at (0, 0)
  195. Sun Jul 11 01:02:15 2021 matrix is 12159001 x 12159178 (5773.4 MB) with weight 1654808484 (136.10/col)
  196. Sun Jul 11 01:02:15 2021 sparse part has weight 1379724076 (113.47/col)
  197. Sun Jul 11 01:02:15 2021 saving the first 48 matrix rows for later
  198. Sun Jul 11 01:02:19 2021 matrix includes 64 packed rows
  199. Sun Jul 11 01:02:22 2021 matrix is 12158953 x 12159178 (5566.4 MB) with weight 1434029493 (117.94/col)
  200. Sun Jul 11 01:02:22 2021 sparse part has weight 1337608532 (110.01/col)
  201. Sun Jul 11 01:02:22 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  202. Sun Jul 11 01:03:31 2021 commencing Lanczos iteration (8 threads)
  203. Sun Jul 11 01:03:31 2021 memory use: 4781.4 MB
  204. Sun Jul 11 01:05:13 2021 linear algebra at 0.0%, ETA 218h35m
  205. Sun Jul 11 01:05:46 2021 checkpointing every 60000 dimensions
  206. Tue Jul 13 22:23:02 2021
  207. Tue Jul 13 22:23:02 2021
  208. Tue Jul 13 22:23:02 2021 Msieve v. 1.52 (SVN unknown)
  209. Tue Jul 13 22:23:02 2021 random seeds: 1d6616bc ab7e01a3
  210. Tue Jul 13 22:23:02 2021 factoring 171697369402837611602998642894343127872675792094475603946224440962050440725770293093513756835696006862516902304639352773595537459902372952132556149464409413347734716547677421184072562074529349264991470340222787279 (213 digits)
  211. Tue Jul 13 22:23:03 2021 no P-1/P+1/ECM available, skipping
  212. Tue Jul 13 22:23:03 2021 commencing number field sieve (213-digit input)
  213. Tue Jul 13 22:23:03 2021 R0: 8727963568087712425891397479476727340041449
  214. Tue Jul 13 22:23:03 2021 R1: -28421709430404007434844970703125
  215. Tue Jul 13 22:23:03 2021 A0: -9
  216. Tue Jul 13 22:23:03 2021 A1: 0
  217. Tue Jul 13 22:23:03 2021 A2: 0
  218. Tue Jul 13 22:23:03 2021 A3: 0
  219. Tue Jul 13 22:23:03 2021 A4: 0
  220. Tue Jul 13 22:23:03 2021 A5: 0
  221. Tue Jul 13 22:23:03 2021 A6: 5
  222. Tue Jul 13 22:23:03 2021 skew 1.10, size 9.873e-013, alpha 1.204, combined = 1.144e-013 rroots = 2
  223. Tue Jul 13 22:23:03 2021
  224. Tue Jul 13 22:23:03 2021 commencing linear algebra
  225. Tue Jul 13 22:24:05 2021 matrix starts at (0, 0)
  226. Tue Jul 13 22:24:09 2021 matrix is 12159001 x 12159178 (5773.4 MB) with weight 1654808484 (136.10/col)
  227. Tue Jul 13 22:24:09 2021 sparse part has weight 1379724076 (113.47/col)
  228. Tue Jul 13 22:24:09 2021 saving the first 48 matrix rows for later
  229. Tue Jul 13 22:24:13 2021 matrix includes 64 packed rows
  230. Tue Jul 13 22:24:15 2021 matrix is 12158953 x 12159178 (5566.4 MB) with weight 1434029493 (117.94/col)
  231. Tue Jul 13 22:24:15 2021 sparse part has weight 1337608532 (110.01/col)
  232. Tue Jul 13 22:24:15 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  233. Tue Jul 13 22:25:23 2021 commencing Lanczos iteration (8 threads)
  234. Tue Jul 13 22:25:23 2021 memory use: 4781.4 MB
  235. Tue Jul 13 22:25:28 2021 restarting at iteration 55980 (dim = 3540044)
  236. Tue Jul 13 22:27:07 2021 linear algebra at 29.1%, ETA 156h19m
  237. Tue Jul 13 22:27:36 2021 checkpointing every 60000 dimensions
  238. Tue Jul 20 09:57:59 2021 lanczos halted after 192276 iterations (dim = 12158949)
  239. Tue Jul 20 09:58:16 2021 recovered 36 nontrivial dependencies
  240. Tue Jul 20 09:58:23 2021 BLanczosTime: 560120
  241. Tue Jul 20 09:58:23 2021
  242. Tue Jul 20 09:58:23 2021 commencing square root phase
  243. Tue Jul 20 09:58:23 2021 reading relations for dependency 1
  244. Tue Jul 20 09:58:28 2021 read 6077861 cycles
  245. Tue Jul 20 09:58:41 2021 cycles contain 19756338 unique relations
  246. Tue Jul 20 10:06:17 2021 read 19756338 relations
  247. Tue Jul 20 10:08:14 2021 multiplying 19756338 relations
  248. Tue Jul 20 10:27:19 2021 multiply complete, coefficients have about 560.66 million bits
  249. Tue Jul 20 10:27:25 2021 initial square root is modulo 107197
  250. Tue Jul 20 10:49:24 2021 sqrtTime: 3061
  251. Tue Jul 20 10:49:24 2021 prp57 factor: 238198368609970329041819957185968002298074564429218115171
  252. Tue Jul 20 10:49:24 2021 prp156 factor: 720816731049814719913169673641221197064705044496172066469938995474377682866677834461397537169775666942412440483564070816866515524630839197394971315119190949
  253. Tue Jul 20 10:49:24 2021 elapsed time 156:26:22
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