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Msieve log of C214_133_106

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Jun 18th, 2021
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  1. Fri Apr 16 21:12:12 2021
  2. Fri Apr 16 21:12:12 2021
  3. Fri Apr 16 21:12:12 2021 Msieve v. 1.52 (SVN unknown)
  4. Fri Apr 16 21:12:12 2021 random seeds: 31ea2a60 01bceb8b
  5. Fri Apr 16 21:12:12 2021 factoring 8822647270031192596838501465298420690949358643818196322760403470872809663305336691545533917326914407476650364673812655435150146613616091637038377573436975035859636023666646755585788021837748183432660843061414176037 (214 digits)
  6. Fri Apr 16 21:12:13 2021 no P-1/P+1/ECM available, skipping
  7. Fri Apr 16 21:12:13 2021 commencing number field sieve (214-digit input)
  8. Fri Apr 16 21:12:13 2021 R0: 169562393139503308362612398381410555609
  9. Fri Apr 16 21:12:13 2021 R1: -360353741657835234074373091747178365988110336
  10. Fri Apr 16 21:12:13 2021 A0: 1875034
  11. Fri Apr 16 21:12:13 2021 A1: 0
  12. Fri Apr 16 21:12:13 2021 A2: 0
  13. Fri Apr 16 21:12:13 2021 A3: 0
  14. Fri Apr 16 21:12:13 2021 A4: 0
  15. Fri Apr 16 21:12:13 2021 A5: 0
  16. Fri Apr 16 21:12:13 2021 A6: 1
  17. Fri Apr 16 21:12:13 2021 skew 11.10, size 7.039e-014, alpha -0.200, combined = 1.668e-014 rroots = 0
  18. Fri Apr 16 21:12:13 2021
  19. Fri Apr 16 21:12:13 2021 commencing relation filtering
  20. Fri Apr 16 21:12:13 2021 setting target matrix density to 120.0
  21. Fri Apr 16 21:12:13 2021 estimated available RAM is 16316.6 MB
  22. Fri Apr 16 21:12:13 2021 commencing duplicate removal, pass 1
  23. Fri Apr 16 21:12:31 2021 error -15 reading relation 1973565
  24. Fri Apr 16 21:13:17 2021 error -15 reading relation 6990677
  25. Fri Apr 16 21:13:40 2021 error -9 reading relation 9528086
  26. Fri Apr 16 21:13:48 2021 error -9 reading relation 10415248
  27. Fri Apr 16 21:14:19 2021 error -9 reading relation 13758390
  28. Fri Apr 16 21:14:32 2021 error -15 reading relation 15268666
  29. Fri Apr 16 21:14:36 2021 error -9 reading relation 15676005
  30. Fri Apr 16 22:27:51 2021 error -1 reading relation 497055203
  31. Fri Apr 16 22:27:53 2021 error -15 reading relation 497290113
  32. Fri Apr 16 22:27:53 2021 error -15 reading relation 497318113
  33. Fri Apr 16 22:27:55 2021 error -1 reading relation 497467370
  34. Fri Apr 16 22:27:55 2021 error -15 reading relation 497540290
  35. Fri Apr 16 22:27:56 2021 error -5 reading relation 497621536
  36. Fri Apr 16 22:27:57 2021 error -9 reading relation 497710095
  37. Fri Apr 16 22:27:58 2021 error -15 reading relation 497868384
  38. Fri Apr 16 22:28:00 2021 error -15 reading relation 498006777
  39. Fri Apr 16 22:28:01 2021 error -15 reading relation 498216837
  40. Fri Apr 16 22:28:03 2021 error -9 reading relation 498345655
  41. Fri Apr 16 22:28:03 2021 skipped 138 relations with b > 2^32
  42. Fri Apr 16 22:28:03 2021 found 134196840 hash collisions in 498413907 relations
  43. Fri Apr 16 22:28:29 2021 added 1219852 free relations
  44. Fri Apr 16 22:28:29 2021 commencing duplicate removal, pass 2
  45. Fri Apr 16 22:44:38 2021 found 146794995 duplicates and 352838764 unique relations
  46. Fri Apr 16 22:44:38 2021 memory use: 2643.0 MB
  47. Fri Apr 16 22:44:38 2021 reading ideals above 444792832
  48. Fri Apr 16 22:44:38 2021 commencing singleton removal, initial pass
  49. Fri Apr 16 23:45:37 2021 memory use: 6024.0 MB
  50. Fri Apr 16 23:45:38 2021 reading all ideals from disk
  51. Fri Apr 16 23:47:15 2021 memory use: 5795.7 MB
  52. Fri Apr 16 23:47:26 2021 commencing in-memory singleton removal
  53. Fri Apr 16 23:47:37 2021 begin with 352838764 relations and 295155157 unique ideals
  54. Fri Apr 16 23:49:52 2021 reduce to 217747090 relations and 145449668 ideals in 16 passes
  55. Fri Apr 16 23:49:52 2021 max relations containing the same ideal: 31
  56. Fri Apr 16 23:50:06 2021 reading ideals above 720000
  57. Fri Apr 16 23:50:06 2021 commencing singleton removal, initial pass
  58. Sat Apr 17 00:40:18 2021 memory use: 5512.0 MB
  59. Sat Apr 17 00:40:19 2021 reading large ideals from disk
  60. Sat Apr 17 00:44:11 2021 keeping 175482610 ideals with weight <= 20, target excess is 17115315
  61. Sat Apr 17 00:53:19 2021 memory use: 7114.9 MB
  62. Sat Apr 17 00:53:19 2021 commencing in-memory singleton removal
  63. Sat Apr 17 00:53:28 2021 begin with 217747090 relations and 175482610 unique ideals
  64. Sat Apr 17 00:55:40 2021 reduce to 217323413 relations and 175058806 ideals in 12 passes
  65. Sat Apr 17 00:55:40 2021 max relations containing the same ideal: 20
  66. Sat Apr 17 00:56:47 2021 removing 14655055 relations and 12655055 ideals in 2000000 cliques
  67. Sat Apr 17 00:56:51 2021 commencing in-memory singleton removal
  68. Sat Apr 17 00:57:00 2021 begin with 202668358 relations and 175058806 unique ideals
  69. Sat Apr 17 00:58:31 2021 reduce to 201773925 relations and 161497345 ideals in 9 passes
  70. Sat Apr 17 00:58:31 2021 max relations containing the same ideal: 20
  71. Sat Apr 17 00:59:32 2021 removing 10985118 relations and 8985118 ideals in 2000000 cliques
  72. Sat Apr 17 00:59:36 2021 commencing in-memory singleton removal
  73. Sat Apr 17 00:59:44 2021 begin with 190788807 relations and 161497345 unique ideals
  74. Sat Apr 17 01:01:09 2021 reduce to 190227395 relations and 151944434 ideals in 9 passes
  75. Sat Apr 17 01:01:09 2021 max relations containing the same ideal: 20
  76. Sat Apr 17 01:02:07 2021 removing 9851919 relations and 7851919 ideals in 2000000 cliques
  77. Sat Apr 17 01:02:10 2021 commencing in-memory singleton removal
  78. Sat Apr 17 01:02:18 2021 begin with 180375476 relations and 151944434 unique ideals
  79. Sat Apr 17 01:03:29 2021 reduce to 179894109 relations and 143605826 ideals in 8 passes
  80. Sat Apr 17 01:03:29 2021 max relations containing the same ideal: 20
  81. Sat Apr 17 01:04:24 2021 removing 9241737 relations and 7241737 ideals in 2000000 cliques
  82. Sat Apr 17 01:04:27 2021 commencing in-memory singleton removal
  83. Sat Apr 17 01:04:34 2021 begin with 170652372 relations and 143605826 unique ideals
  84. Sat Apr 17 01:05:49 2021 reduce to 170204082 relations and 135910905 ideals in 9 passes
  85. Sat Apr 17 01:05:49 2021 max relations containing the same ideal: 20
  86. Sat Apr 17 01:06:41 2021 removing 8857309 relations and 6857309 ideals in 2000000 cliques
  87. Sat Apr 17 01:06:44 2021 commencing in-memory singleton removal
  88. Sat Apr 17 01:06:51 2021 begin with 161346773 relations and 135910905 unique ideals
  89. Sat Apr 17 01:07:53 2021 reduce to 160915748 relations and 128617678 ideals in 8 passes
  90. Sat Apr 17 01:07:53 2021 max relations containing the same ideal: 20
  91. Sat Apr 17 01:08:42 2021 removing 8590728 relations and 6590728 ideals in 2000000 cliques
  92. Sat Apr 17 01:08:45 2021 commencing in-memory singleton removal
  93. Sat Apr 17 01:08:51 2021 begin with 152325020 relations and 128617678 unique ideals
  94. Sat Apr 17 01:09:49 2021 reduce to 151902151 relations and 121599150 ideals in 8 passes
  95. Sat Apr 17 01:09:49 2021 max relations containing the same ideal: 20
  96. Sat Apr 17 01:10:36 2021 removing 8405430 relations and 6405430 ideals in 2000000 cliques
  97. Sat Apr 17 01:10:38 2021 commencing in-memory singleton removal
  98. Sat Apr 17 01:10:44 2021 begin with 143496721 relations and 121599150 unique ideals
  99. Sat Apr 17 01:11:38 2021 reduce to 143075125 relations and 114766955 ideals in 8 passes
  100. Sat Apr 17 01:11:38 2021 max relations containing the same ideal: 20
  101. Sat Apr 17 01:12:22 2021 removing 8267734 relations and 6267734 ideals in 2000000 cliques
  102. Sat Apr 17 01:12:25 2021 commencing in-memory singleton removal
  103. Sat Apr 17 01:12:30 2021 begin with 134807391 relations and 114766955 unique ideals
  104. Sat Apr 17 01:13:26 2021 reduce to 134375811 relations and 108062120 ideals in 9 passes
  105. Sat Apr 17 01:13:26 2021 max relations containing the same ideal: 20
  106. Sat Apr 17 01:14:08 2021 removing 8166439 relations and 6166439 ideals in 2000000 cliques
  107. Sat Apr 17 01:14:10 2021 commencing in-memory singleton removal
  108. Sat Apr 17 01:14:15 2021 begin with 126209372 relations and 108062120 unique ideals
  109. Sat Apr 17 01:14:56 2021 reduce to 125766382 relations and 101446607 ideals in 7 passes
  110. Sat Apr 17 01:14:56 2021 max relations containing the same ideal: 20
  111. Sat Apr 17 01:15:35 2021 removing 8084461 relations and 6084461 ideals in 2000000 cliques
  112. Sat Apr 17 01:15:37 2021 commencing in-memory singleton removal
  113. Sat Apr 17 01:15:42 2021 begin with 117681921 relations and 101446607 unique ideals
  114. Sat Apr 17 01:16:24 2021 reduce to 117214679 relations and 94888267 ideals in 8 passes
  115. Sat Apr 17 01:16:24 2021 max relations containing the same ideal: 20
  116. Sat Apr 17 01:17:01 2021 removing 8066082 relations and 6066082 ideals in 2000000 cliques
  117. Sat Apr 17 01:17:03 2021 commencing in-memory singleton removal
  118. Sat Apr 17 01:17:07 2021 begin with 109148597 relations and 94888267 unique ideals
  119. Sat Apr 17 01:17:46 2021 reduce to 108662784 relations and 88328877 ideals in 8 passes
  120. Sat Apr 17 01:17:46 2021 max relations containing the same ideal: 20
  121. Sat Apr 17 01:18:19 2021 removing 2484353 relations and 2004212 ideals in 480141 cliques
  122. Sat Apr 17 01:18:21 2021 commencing in-memory singleton removal
  123. Sat Apr 17 01:18:25 2021 begin with 106178431 relations and 88328877 unique ideals
  124. Sat Apr 17 01:18:58 2021 reduce to 106134951 relations and 86281009 ideals in 7 passes
  125. Sat Apr 17 01:18:58 2021 max relations containing the same ideal: 20
  126. Sat Apr 17 01:19:35 2021 relations with 0 large ideals: 1946839
  127. Sat Apr 17 01:19:35 2021 relations with 1 large ideals: 9422246
  128. Sat Apr 17 01:19:35 2021 relations with 2 large ideals: 24562808
  129. Sat Apr 17 01:19:35 2021 relations with 3 large ideals: 33222362
  130. Sat Apr 17 01:19:35 2021 relations with 4 large ideals: 24444927
  131. Sat Apr 17 01:19:35 2021 relations with 5 large ideals: 9838757
  132. Sat Apr 17 01:19:35 2021 relations with 6 large ideals: 2224827
  133. Sat Apr 17 01:19:35 2021 relations with 7+ large ideals: 472185
  134. Sat Apr 17 01:19:35 2021 commencing 2-way merge
  135. Sat Apr 17 01:20:21 2021 reduce to 67989072 relation sets and 48135130 unique ideals
  136. Sat Apr 17 01:20:21 2021 commencing full merge
  137. Sat Apr 17 01:33:23 2021 memory use: 4453.4 MB
  138. Sat Apr 17 01:33:31 2021 found 30341350 cycles, need 27993330
  139. Sat Apr 17 01:33:34 2021 weight of 27993330 cycles is about 3359597867 (120.01/cycle)
  140. Sat Apr 17 01:33:34 2021 distribution of cycle lengths:
  141. Sat Apr 17 01:33:34 2021 1 relations: 2490596
  142. Sat Apr 17 01:33:34 2021 2 relations: 1839081
  143. Sat Apr 17 01:33:34 2021 3 relations: 1995606
  144. Sat Apr 17 01:33:34 2021 4 relations: 1983416
  145. Sat Apr 17 01:33:34 2021 5 relations: 1982785
  146. Sat Apr 17 01:33:34 2021 6 relations: 1911044
  147. Sat Apr 17 01:33:34 2021 7 relations: 1846714
  148. Sat Apr 17 01:33:34 2021 8 relations: 1758121
  149. Sat Apr 17 01:33:34 2021 9 relations: 1665609
  150. Sat Apr 17 01:33:34 2021 10+ relations: 10520358
  151. Sat Apr 17 01:33:34 2021 heaviest cycle: 23 relations
  152. Sat Apr 17 01:33:36 2021 commencing cycle optimization
  153. Sat Apr 17 01:34:23 2021 start with 227111214 relations
  154. Sat Apr 17 01:44:55 2021 pruned 10720309 relations
  155. Sat Apr 17 01:44:56 2021 memory use: 6262.0 MB
  156. Sat Apr 17 01:44:56 2021 distribution of cycle lengths:
  157. Sat Apr 17 01:44:56 2021 1 relations: 2490596
  158. Sat Apr 17 01:44:56 2021 2 relations: 1904372
  159. Sat Apr 17 01:44:56 2021 3 relations: 2107631
  160. Sat Apr 17 01:44:56 2021 4 relations: 2091930
  161. Sat Apr 17 01:44:56 2021 5 relations: 2107335
  162. Sat Apr 17 01:44:56 2021 6 relations: 2023214
  163. Sat Apr 17 01:44:56 2021 7 relations: 1959102
  164. Sat Apr 17 01:44:56 2021 8 relations: 1854186
  165. Sat Apr 17 01:44:56 2021 9 relations: 1751460
  166. Sat Apr 17 01:44:56 2021 10+ relations: 9703504
  167. Sat Apr 17 01:44:56 2021 heaviest cycle: 23 relations
  168. Sat Apr 17 01:46:48 2021 RelProcTime: 16475
  169. Sat Apr 17 01:46:48 2021
  170. Sat Apr 17 01:46:48 2021 commencing linear algebra
  171. Sat Apr 17 01:46:53 2021 read 27993330 cycles
  172. Sat Apr 17 01:47:50 2021 cycles contain 95004782 unique relations
  173. Sat Apr 17 02:05:33 2021 read 95004782 relations
  174. Sat Apr 17 02:08:44 2021 using 20 quadratic characters above 4294917296
  175. Sat Apr 17 02:15:32 2021 building initial matrix
  176. Sat Apr 17 02:35:01 2021 memory use: 12627.0 MB
  177. Sat Apr 17 02:38:52 2021 read 27993330 cycles
  178. Sat Apr 17 02:39:01 2021 matrix is 27992718 x 27993330 (13020.9 MB) with weight 3747892519 (133.89/col)
  179. Sat Apr 17 02:39:01 2021 sparse part has weight 3105425183 (110.93/col)
  180. Sat Apr 17 02:51:24 2021 filtering completed in 3 passes
  181. Sat Apr 17 02:51:33 2021 matrix is 27966467 x 27966667 (13015.2 MB) with weight 3746051674 (133.95/col)
  182. Sat Apr 17 02:51:33 2021 sparse part has weight 3104221464 (111.00/col)
  183. Sat Apr 17 03:22:47 2021 matrix starts at (0, 0)
  184. Sat Apr 17 03:22:55 2021 matrix is 27966467 x 27966667 (13015.2 MB) with weight 3746051674 (133.95/col)
  185. Sat Apr 17 03:22:55 2021 sparse part has weight 3104221464 (111.00/col)
  186. Sat Apr 17 03:22:55 2021 saving the first 48 matrix rows for later
  187. Sat Apr 17 03:34:35 2021 matrix includes 64 packed rows
  188. Sat Apr 17 03:45:06 2021 matrix is 27966419 x 27966667 (12443.1 MB) with weight 3212750517 (114.88/col)
  189. Sat Apr 17 03:45:06 2021 sparse part has weight 2982219953 (106.63/col)
  190. Sat Apr 17 03:45:06 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  191. Sat Apr 17 04:09:20 2021 commencing Lanczos iteration (8 threads)
  192. Sat Apr 17 04:09:28 2021 memory use: 10756.8 MB
  193. Sat Apr 17 04:23:41 2021 linear algebra at 0.0%, ETA 1500h21m
  194. Sat Apr 17 04:25:18 2021 checkpointing every 20000 dimensions
  195. Wed Jun 02 08:00:13 2021
  196. Wed Jun 02 08:00:13 2021
  197. Wed Jun 02 08:00:13 2021 Msieve v. 1.52 (SVN unknown)
  198. Wed Jun 02 08:00:13 2021 random seeds: b0075234 25de1106
  199. Wed Jun 02 08:00:13 2021 factoring 8822647270031192596838501465298420690949358643818196322760403470872809663305336691545533917326914407476650364673812655435150146613616091637038377573436975035859636023666646755585788021837748183432660843061414176037 (214 digits)
  200. Wed Jun 02 08:00:14 2021 no P-1/P+1/ECM available, skipping
  201. Wed Jun 02 08:00:14 2021 commencing number field sieve (214-digit input)
  202. Wed Jun 02 08:00:14 2021 R0: 169562393139503308362612398381410555609
  203. Wed Jun 02 08:00:14 2021 R1: -360353741657835234074373091747178365988110336
  204. Wed Jun 02 08:00:14 2021 A0: 1875034
  205. Wed Jun 02 08:00:14 2021 A1: 0
  206. Wed Jun 02 08:00:14 2021 A2: 0
  207. Wed Jun 02 08:00:14 2021 A3: 0
  208. Wed Jun 02 08:00:14 2021 A4: 0
  209. Wed Jun 02 08:00:14 2021 A5: 0
  210. Wed Jun 02 08:00:14 2021 A6: 1
  211. Wed Jun 02 08:00:14 2021 skew 11.10, size 7.039e-014, alpha -0.200, combined = 1.668e-014 rroots = 0
  212. Wed Jun 02 08:00:14 2021
  213. Wed Jun 02 08:00:14 2021 commencing linear algebra
  214. Wed Jun 02 08:03:40 2021 matrix starts at (0, 0)
  215. Wed Jun 02 08:03:49 2021 matrix is 27966467 x 27966667 (13015.2 MB) with weight 3746051674 (133.95/col)
  216. Wed Jun 02 08:03:49 2021 sparse part has weight 3104221464 (111.00/col)
  217. Wed Jun 02 08:03:49 2021 saving the first 48 matrix rows for later
  218. Wed Jun 02 08:05:49 2021 matrix includes 64 packed rows
  219. Wed Jun 02 08:12:13 2021 matrix is 27966419 x 27966667 (12443.1 MB) with weight 3212750517 (114.88/col)
  220. Wed Jun 02 08:12:14 2021 sparse part has weight 2982219953 (106.63/col)
  221. Wed Jun 02 08:12:15 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  222. Wed Jun 02 08:36:20 2021 commencing Lanczos iteration (8 threads)
  223. Wed Jun 02 08:36:36 2021 memory use: 10756.8 MB
  224. Wed Jun 02 08:37:17 2021 restarting at iteration 329248 (dim = 20820042)
  225. Wed Jun 02 09:00:18 2021 linear algebra at 74.5%, ETA 1803h 7m
  226. Wed Jun 02 09:02:07 2021 checkpointing every 10000 dimensions
  227. Fri Jun 18 07:05:22 2021 lanczos halted after 442266 iterations (dim = 27966419)
  228. Fri Jun 18 07:07:00 2021 recovered 39 nontrivial dependencies
  229. Fri Jun 18 07:10:03 2021 BLanczosTime: 1379389
  230. Fri Jun 18 07:10:03 2021
  231. Fri Jun 18 07:10:03 2021 commencing square root phase
  232. Fri Jun 18 07:10:03 2021 reading relations for dependency 1
  233. Fri Jun 18 07:10:19 2021 read 13976673 cycles
  234. Fri Jun 18 07:10:46 2021 cycles contain 47480160 unique relations
  235. Fri Jun 18 07:26:32 2021 read 47480160 relations
  236. Fri Jun 18 07:31:23 2021 multiplying 47480160 relations
  237. Fri Jun 18 08:25:14 2021 multiply complete, coefficients have about 1349.20 million bits
  238. Fri Jun 18 08:25:30 2021 initial square root is modulo 1127629
  239. Fri Jun 18 09:27:42 2021 sqrtTime: 8259
  240. Fri Jun 18 09:27:42 2021 prp64 factor: 1793958636372863901410261918052250493141123197296575690715281669
  241. Fri Jun 18 09:27:42 2021 prp151 factor: 4917976976252565343110356376686661300749787910371841056151237531747544147756451782950947253303974151745828397347131082272836969878210279379388860691873
  242. Fri Jun 18 09:27:43 2021 elapsed time 385:27:30
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