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3m2_605

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Sep 25th, 2020
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  1. Wed Aug 26 23:01:33 2020
  2. Wed Aug 26 23:01:33 2020
  3. Wed Aug 26 23:01:33 2020 Msieve v. 1.52 (SVN unknown)
  4. Wed Aug 26 23:01:33 2020 random seeds: 74d5bd18 4e12f17d
  5. Wed Aug 26 23:01:33 2020 factoring 192137766194134525515090923089230388154920395171529654567106638663767246210728158676731046265244137165397876730442602229966619503804614433315918345369628979624016619958775593147861344862401 (189 digits)
  6. Wed Aug 26 23:01:34 2020 no P-1/P+1/ECM available, skipping
  7. Wed Aug 26 23:01:34 2020 commencing number field sieve (189-digit input)
  8. Wed Aug 26 23:01:34 2020 R0: 5391030899743293631239539488528815119194426882613553319203
  9. Wed Aug 26 23:01:34 2020 R1: -2658455991569831745807614120560689152
  10. Wed Aug 26 23:01:34 2020 A0: 1
  11. Wed Aug 26 23:01:34 2020 A1: 1
  12. Wed Aug 26 23:01:34 2020 A2: 1
  13. Wed Aug 26 23:01:34 2020 A3: 1
  14. Wed Aug 26 23:01:34 2020 A4: 1
  15. Wed Aug 26 23:01:34 2020 skew 1.00, size 1.653e-023, alpha 1.694, combined = 5.208e-014 rroots = 0
  16. Wed Aug 26 23:01:34 2020
  17. Wed Aug 26 23:01:34 2020 commencing relation filtering
  18. Wed Aug 26 23:01:34 2020 setting target matrix density to 120.0
  19. Wed Aug 26 23:01:34 2020 estimated available RAM is 16289.0 MB
  20. Wed Aug 26 23:01:34 2020 commencing duplicate removal, pass 1
  21. Wed Aug 26 23:02:05 2020 error -1 reading relation 3628473
  22. Wed Aug 26 23:02:37 2020 error -15 reading relation 7278699
  23. Wed Aug 26 23:02:51 2020 error -5 reading relation 8988388
  24. Wed Aug 26 23:03:04 2020 error -15 reading relation 10504673
  25. Wed Aug 26 23:03:13 2020 error -5 reading relation 11498317
  26. Wed Aug 26 23:03:17 2020 error -9 reading relation 11942326
  27. Thu Aug 27 00:32:04 2020 error -9 reading relation 486934935
  28. Thu Aug 27 00:32:04 2020 error -9 reading relation 486963270
  29. Thu Aug 27 00:32:06 2020 error -9 reading relation 487147494
  30. Thu Aug 27 00:32:06 2020 error -15 reading relation 487190265
  31. Thu Aug 27 00:32:11 2020 error -9 reading relation 487631212
  32. Thu Aug 27 00:32:11 2020 error -9 reading relation 487633672
  33. Thu Aug 27 00:32:12 2020 error -9 reading relation 487721094
  34. Thu Aug 27 00:32:13 2020 error -9 reading relation 487887174
  35. Thu Aug 27 00:32:18 2020 skipped 3533 relations with b > 2^32
  36. Thu Aug 27 00:32:18 2020 found 120820823 hash collisions in 488275647 relations
  37. Thu Aug 27 00:32:31 2020 added 3657741 free relations
  38. Thu Aug 27 00:32:31 2020 commencing duplicate removal, pass 2
  39. Thu Aug 27 00:46:55 2020 found 125167765 duplicates and 366765623 unique relations
  40. Thu Aug 27 00:46:55 2020 memory use: 2643.0 MB
  41. Thu Aug 27 00:46:56 2020 reading ideals above 349896704
  42. Thu Aug 27 00:46:56 2020 commencing singleton removal, initial pass
  43. Thu Aug 27 01:53:37 2020 memory use: 6024.0 MB
  44. Thu Aug 27 01:53:38 2020 reading all ideals from disk
  45. Thu Aug 27 01:55:37 2020 memory use: 6293.2 MB
  46. Thu Aug 27 01:55:50 2020 commencing in-memory singleton removal
  47. Thu Aug 27 01:56:03 2020 begin with 366765623 relations and 295278319 unique ideals
  48. Thu Aug 27 01:58:25 2020 reduce to 243411089 relations and 159662507 ideals in 14 passes
  49. Thu Aug 27 01:58:25 2020 max relations containing the same ideal: 39
  50. Thu Aug 27 01:58:44 2020 reading ideals above 720000
  51. Thu Aug 27 01:58:44 2020 commencing singleton removal, initial pass
  52. Thu Aug 27 02:49:43 2020 memory use: 5512.0 MB
  53. Thu Aug 27 02:49:44 2020 reading large ideals from disk
  54. Thu Aug 27 02:54:02 2020 keeping 176372949 ideals with weight <= 20, target excess is 20857147
  55. Thu Aug 27 03:01:47 2020 memory use: 7132.6 MB
  56. Thu Aug 27 03:01:47 2020 commencing in-memory singleton removal
  57. Thu Aug 27 03:01:58 2020 begin with 243411089 relations and 176372949 unique ideals
  58. Thu Aug 27 03:03:39 2020 reduce to 243154573 relations and 176116376 ideals in 9 passes
  59. Thu Aug 27 03:03:39 2020 max relations containing the same ideal: 20
  60. Thu Aug 27 03:04:45 2020 removing 12283940 relations and 10283940 ideals in 2000000 cliques
  61. Thu Aug 27 03:04:49 2020 commencing in-memory singleton removal
  62. Thu Aug 27 03:04:58 2020 begin with 230870633 relations and 176116376 unique ideals
  63. Thu Aug 27 03:06:22 2020 reduce to 230299858 relations and 165254911 ideals in 8 passes
  64. Thu Aug 27 03:06:22 2020 max relations containing the same ideal: 20
  65. Thu Aug 27 03:07:23 2020 removing 9243386 relations and 7243386 ideals in 2000000 cliques
  66. Thu Aug 27 03:07:27 2020 commencing in-memory singleton removal
  67. Thu Aug 27 03:07:35 2020 begin with 221056472 relations and 165254911 unique ideals
  68. Thu Aug 27 03:08:45 2020 reduce to 220688541 relations and 157640006 ideals in 7 passes
  69. Thu Aug 27 03:08:45 2020 max relations containing the same ideal: 20
  70. Thu Aug 27 03:09:45 2020 removing 8324927 relations and 6324927 ideals in 2000000 cliques
  71. Thu Aug 27 03:09:48 2020 commencing in-memory singleton removal
  72. Thu Aug 27 03:09:56 2020 begin with 212363614 relations and 157640006 unique ideals
  73. Thu Aug 27 03:11:12 2020 reduce to 212049765 relations and 150998141 ideals in 8 passes
  74. Thu Aug 27 03:11:12 2020 max relations containing the same ideal: 20
  75. Thu Aug 27 03:12:08 2020 removing 7814935 relations and 5814935 ideals in 2000000 cliques
  76. Thu Aug 27 03:12:11 2020 commencing in-memory singleton removal
  77. Thu Aug 27 03:12:19 2020 begin with 204234830 relations and 150998141 unique ideals
  78. Thu Aug 27 03:13:22 2020 reduce to 203941446 relations and 144886949 ideals in 7 passes
  79. Thu Aug 27 03:13:22 2020 max relations containing the same ideal: 20
  80. Thu Aug 27 03:14:16 2020 removing 7516816 relations and 5516816 ideals in 2000000 cliques
  81. Thu Aug 27 03:14:19 2020 commencing in-memory singleton removal
  82. Thu Aug 27 03:14:27 2020 begin with 196424630 relations and 144886949 unique ideals
  83. Thu Aug 27 03:15:27 2020 reduce to 196149858 relations and 139092596 ideals in 7 passes
  84. Thu Aug 27 03:15:27 2020 max relations containing the same ideal: 20
  85. Thu Aug 27 03:16:19 2020 removing 7300131 relations and 5300131 ideals in 2000000 cliques
  86. Thu Aug 27 03:16:22 2020 commencing in-memory singleton removal
  87. Thu Aug 27 03:16:29 2020 begin with 188849727 relations and 139092596 unique ideals
  88. Thu Aug 27 03:17:27 2020 reduce to 188581453 relations and 133521374 ideals in 7 passes
  89. Thu Aug 27 03:17:27 2020 max relations containing the same ideal: 20
  90. Thu Aug 27 03:18:17 2020 removing 7119267 relations and 5119267 ideals in 2000000 cliques
  91. Thu Aug 27 03:18:19 2020 commencing in-memory singleton removal
  92. Thu Aug 27 03:18:26 2020 begin with 181462186 relations and 133521374 unique ideals
  93. Thu Aug 27 03:19:28 2020 reduce to 181195549 relations and 128132741 ideals in 8 passes
  94. Thu Aug 27 03:19:28 2020 max relations containing the same ideal: 20
  95. Thu Aug 27 03:20:16 2020 removing 7035992 relations and 5035992 ideals in 2000000 cliques
  96. Thu Aug 27 03:20:19 2020 commencing in-memory singleton removal
  97. Thu Aug 27 03:20:25 2020 begin with 174159557 relations and 128132741 unique ideals
  98. Thu Aug 27 03:21:17 2020 reduce to 173897542 relations and 122831785 ideals in 7 passes
  99. Thu Aug 27 03:21:17 2020 max relations containing the same ideal: 20
  100. Thu Aug 27 03:22:03 2020 removing 6925876 relations and 4925876 ideals in 2000000 cliques
  101. Thu Aug 27 03:22:06 2020 commencing in-memory singleton removal
  102. Thu Aug 27 03:22:12 2020 begin with 166971666 relations and 122831785 unique ideals
  103. Thu Aug 27 03:23:01 2020 reduce to 166708065 relations and 117639363 ideals in 7 passes
  104. Thu Aug 27 03:23:01 2020 max relations containing the same ideal: 20
  105. Thu Aug 27 03:23:45 2020 removing 6816122 relations and 4816122 ideals in 2000000 cliques
  106. Thu Aug 27 03:23:48 2020 commencing in-memory singleton removal
  107. Thu Aug 27 03:23:54 2020 begin with 159891943 relations and 117639363 unique ideals
  108. Thu Aug 27 03:24:40 2020 reduce to 159614183 relations and 112542121 ideals in 7 passes
  109. Thu Aug 27 03:24:40 2020 max relations containing the same ideal: 20
  110. Thu Aug 27 03:25:23 2020 removing 6810409 relations and 4810409 ideals in 2000000 cliques
  111. Thu Aug 27 03:25:25 2020 commencing in-memory singleton removal
  112. Thu Aug 27 03:25:30 2020 begin with 152803774 relations and 112542121 unique ideals
  113. Thu Aug 27 03:26:21 2020 reduce to 152531382 relations and 107455971 ideals in 8 passes
  114. Thu Aug 27 03:26:21 2020 max relations containing the same ideal: 20
  115. Thu Aug 27 03:27:01 2020 removing 6787001 relations and 4787001 ideals in 2000000 cliques
  116. Thu Aug 27 03:27:03 2020 commencing in-memory singleton removal
  117. Thu Aug 27 03:27:08 2020 begin with 145744381 relations and 107455971 unique ideals
  118. Thu Aug 27 03:27:50 2020 reduce to 145464736 relations and 102385716 ideals in 7 passes
  119. Thu Aug 27 03:27:50 2020 max relations containing the same ideal: 20
  120. Thu Aug 27 03:28:28 2020 removing 6691867 relations and 4691867 ideals in 2000000 cliques
  121. Thu Aug 27 03:28:31 2020 commencing in-memory singleton removal
  122. Thu Aug 27 03:28:35 2020 begin with 138772869 relations and 102385716 unique ideals
  123. Thu Aug 27 03:29:14 2020 reduce to 138467009 relations and 97383827 ideals in 7 passes
  124. Thu Aug 27 03:29:14 2020 max relations containing the same ideal: 20
  125. Thu Aug 27 03:29:51 2020 removing 6746809 relations and 4746809 ideals in 2000000 cliques
  126. Thu Aug 27 03:29:53 2020 commencing in-memory singleton removal
  127. Thu Aug 27 03:29:57 2020 begin with 131720200 relations and 97383827 unique ideals
  128. Thu Aug 27 03:30:39 2020 reduce to 131420593 relations and 92333268 ideals in 8 passes
  129. Thu Aug 27 03:30:39 2020 max relations containing the same ideal: 20
  130. Thu Aug 27 03:31:13 2020 removing 6665308 relations and 4665308 ideals in 2000000 cliques
  131. Thu Aug 27 03:31:15 2020 commencing in-memory singleton removal
  132. Thu Aug 27 03:31:19 2020 begin with 124755285 relations and 92333268 unique ideals
  133. Thu Aug 27 03:31:53 2020 reduce to 124426528 relations and 87334252 ideals in 7 passes
  134. Thu Aug 27 03:31:53 2020 max relations containing the same ideal: 20
  135. Thu Aug 27 03:32:26 2020 removing 6726315 relations and 4726315 ideals in 2000000 cliques
  136. Thu Aug 27 03:32:28 2020 commencing in-memory singleton removal
  137. Thu Aug 27 03:32:32 2020 begin with 117700213 relations and 87334252 unique ideals
  138. Thu Aug 27 03:33:03 2020 reduce to 117368915 relations and 82271487 ideals in 7 passes
  139. Thu Aug 27 03:33:03 2020 max relations containing the same ideal: 20
  140. Thu Aug 27 03:33:34 2020 removing 6673976 relations and 4673976 ideals in 2000000 cliques
  141. Thu Aug 27 03:33:36 2020 commencing in-memory singleton removal
  142. Thu Aug 27 03:33:40 2020 begin with 110694939 relations and 82271487 unique ideals
  143. Thu Aug 27 03:34:09 2020 reduce to 110330477 relations and 77226920 ideals in 7 passes
  144. Thu Aug 27 03:34:09 2020 max relations containing the same ideal: 20
  145. Thu Aug 27 03:34:37 2020 removing 6752987 relations and 4752987 ideals in 2000000 cliques
  146. Thu Aug 27 03:34:39 2020 commencing in-memory singleton removal
  147. Thu Aug 27 03:34:43 2020 begin with 103577490 relations and 77226920 unique ideals
  148. Thu Aug 27 03:35:13 2020 reduce to 103195370 relations and 72085118 ideals in 8 passes
  149. Thu Aug 27 03:35:13 2020 max relations containing the same ideal: 20
  150. Thu Aug 27 03:35:40 2020 removing 6684932 relations and 4684932 ideals in 2000000 cliques
  151. Thu Aug 27 03:35:42 2020 commencing in-memory singleton removal
  152. Thu Aug 27 03:35:45 2020 begin with 96510438 relations and 72085118 unique ideals
  153. Thu Aug 27 03:36:13 2020 reduce to 96070610 relations and 66952050 ideals in 8 passes
  154. Thu Aug 27 03:36:13 2020 max relations containing the same ideal: 20
  155. Thu Aug 27 03:36:38 2020 removing 6825066 relations and 4825066 ideals in 2000000 cliques
  156. Thu Aug 27 03:36:40 2020 commencing in-memory singleton removal
  157. Thu Aug 27 03:36:43 2020 begin with 89245544 relations and 66952050 unique ideals
  158. Thu Aug 27 03:37:11 2020 reduce to 88791688 relations and 61664039 ideals in 9 passes
  159. Thu Aug 27 03:37:11 2020 max relations containing the same ideal: 18
  160. Thu Aug 27 03:37:34 2020 removing 6821955 relations and 4821955 ideals in 2000000 cliques
  161. Thu Aug 27 03:37:36 2020 commencing in-memory singleton removal
  162. Thu Aug 27 03:37:39 2020 begin with 81969733 relations and 61664039 unique ideals
  163. Thu Aug 27 03:38:04 2020 reduce to 81470509 relations and 56332030 ideals in 9 passes
  164. Thu Aug 27 03:38:04 2020 max relations containing the same ideal: 18
  165. Thu Aug 27 03:38:25 2020 removing 3496064 relations and 2551876 ideals in 944188 cliques
  166. Thu Aug 27 03:38:26 2020 commencing in-memory singleton removal
  167. Thu Aug 27 03:38:29 2020 begin with 77974445 relations and 56332030 unique ideals
  168. Thu Aug 27 03:38:50 2020 reduce to 77795324 relations and 53598593 ideals in 8 passes
  169. Thu Aug 27 03:38:50 2020 max relations containing the same ideal: 18
  170. Thu Aug 27 03:39:12 2020 relations with 0 large ideals: 5271454
  171. Thu Aug 27 03:39:12 2020 relations with 1 large ideals: 18666284
  172. Thu Aug 27 03:39:12 2020 relations with 2 large ideals: 27766581
  173. Thu Aug 27 03:39:12 2020 relations with 3 large ideals: 18438766
  174. Thu Aug 27 03:39:12 2020 relations with 4 large ideals: 6719732
  175. Thu Aug 27 03:39:12 2020 relations with 5 large ideals: 867449
  176. Thu Aug 27 03:39:12 2020 relations with 6 large ideals: 62281
  177. Thu Aug 27 03:39:12 2020 relations with 7+ large ideals: 2777
  178. Thu Aug 27 03:39:12 2020 commencing 2-way merge
  179. Thu Aug 27 03:39:42 2020 reduce to 48344809 relation sets and 24148078 unique ideals
  180. Thu Aug 27 03:39:42 2020 commencing full merge
  181. Thu Aug 27 03:44:41 2020 memory use: 2248.8 MB
  182. Thu Aug 27 03:44:59 2020 found 24001205 cycles, need 21515847
  183. Thu Aug 27 03:45:01 2020 weight of 21515847 cycles is about 2035916762 (94.62/cycle)
  184. Thu Aug 27 03:45:01 2020 distribution of cycle lengths:
  185. Thu Aug 27 03:45:01 2020 1 relations: 5274317
  186. Thu Aug 27 03:45:01 2020 2 relations: 1897826
  187. Thu Aug 27 03:45:01 2020 3 relations: 1365743
  188. Thu Aug 27 03:45:01 2020 4 relations: 1161991
  189. Thu Aug 27 03:45:01 2020 5 relations: 1090828
  190. Thu Aug 27 03:45:01 2020 6 relations: 1041901
  191. Thu Aug 27 03:45:01 2020 7 relations: 1009748
  192. Thu Aug 27 03:45:01 2020 8 relations: 978469
  193. Thu Aug 27 03:45:01 2020 9 relations: 944443
  194. Thu Aug 27 03:45:01 2020 10+ relations: 6750581
  195. Thu Aug 27 03:45:01 2020 heaviest cycle: 25 relations
  196. Thu Aug 27 03:45:02 2020 commencing cycle optimization
  197. Thu Aug 27 03:45:36 2020 start with 146839747 relations
  198. Thu Aug 27 03:51:02 2020 pruned 12581716 relations
  199. Thu Aug 27 03:51:02 2020 memory use: 3998.1 MB
  200. Thu Aug 27 03:51:02 2020 distribution of cycle lengths:
  201. Thu Aug 27 03:51:02 2020 1 relations: 5274317
  202. Thu Aug 27 03:51:02 2020 2 relations: 1975805
  203. Thu Aug 27 03:51:02 2020 3 relations: 1459769
  204. Thu Aug 27 03:51:02 2020 4 relations: 1261389
  205. Thu Aug 27 03:51:02 2020 5 relations: 1214627
  206. Thu Aug 27 03:51:02 2020 6 relations: 1173571
  207. Thu Aug 27 03:51:02 2020 7 relations: 1154402
  208. Thu Aug 27 03:51:02 2020 8 relations: 1118948
  209. Thu Aug 27 03:51:02 2020 9 relations: 1080350
  210. Thu Aug 27 03:51:02 2020 10+ relations: 5802669
  211. Thu Aug 27 03:51:02 2020 heaviest cycle: 24 relations
  212. Thu Aug 27 03:51:52 2020 RelProcTime: 17418
  213. Thu Aug 27 03:51:52 2020
  214. Thu Aug 27 03:51:52 2020 commencing linear algebra
  215. Thu Aug 27 03:51:58 2020 read 21515847 cycles
  216. Thu Aug 27 03:52:31 2020 cycles contain 64648671 unique relations
  217. Thu Aug 27 04:05:42 2020 read 64648671 relations
  218. Thu Aug 27 04:07:32 2020 using 20 quadratic characters above 4294917296
  219. Thu Aug 27 04:12:00 2020 building initial matrix
  220. Thu Aug 27 04:22:22 2020 memory use: 8191.6 MB
  221. Thu Aug 27 04:23:39 2020 read 21515847 cycles
  222. Thu Aug 27 04:23:45 2020 matrix is 21513590 x 21515847 (7714.8 MB) with weight 2209273585 (102.68/col)
  223. Thu Aug 27 04:23:45 2020 sparse part has weight 1785705661 (82.99/col)
  224. Thu Aug 27 04:30:23 2020 filtering completed in 3 passes
  225. Thu Aug 27 04:30:29 2020 matrix is 21460366 x 21460565 (7703.5 MB) with weight 2205899815 (102.79/col)
  226. Thu Aug 27 04:30:29 2020 sparse part has weight 1783366329 (83.10/col)
  227. Thu Aug 27 04:33:56 2020 matrix starts at (0, 0)
  228. Thu Aug 27 04:34:02 2020 matrix is 21460366 x 21460565 (7703.5 MB) with weight 2205899815 (102.79/col)
  229. Thu Aug 27 04:34:02 2020 sparse part has weight 1783366329 (83.10/col)
  230. Thu Aug 27 04:34:02 2020 saving the first 48 matrix rows for later
  231. Thu Aug 27 04:34:08 2020 matrix includes 64 packed rows
  232. Thu Aug 27 04:34:12 2020 matrix is 21460318 x 21460565 (7363.3 MB) with weight 1839541666 (85.72/col)
  233. Thu Aug 27 04:34:12 2020 sparse part has weight 1715631888 (79.94/col)
  234. Thu Aug 27 04:34:12 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  235. Thu Aug 27 04:36:05 2020 commencing Lanczos iteration (8 threads)
  236. Thu Aug 27 04:36:05 2020 memory use: 6275.0 MB
  237. Thu Aug 27 04:39:13 2020 linear algebra at 0.0%, ETA 703h21m
  238. Thu Aug 27 04:40:12 2020 checkpointing every 40000 dimensions
  239. Fri Sep 25 01:11:24 2020 lanczos halted after 339378 iterations (dim = 21460316)
  240. Fri Sep 25 01:11:48 2020 recovered 38 nontrivial dependencies
  241. Fri Sep 25 01:12:11 2020 BLanczosTime: 2496019
  242. Fri Sep 25 01:12:11 2020
  243. Fri Sep 25 01:12:11 2020 commencing square root phase
  244. Fri Sep 25 01:12:11 2020 handling dependencies 1 to 64
  245. Fri Sep 25 01:12:11 2020 reading relations for dependency 1
  246. Fri Sep 25 01:12:33 2020 read 10732369 cycles
  247. Fri Sep 25 01:12:49 2020 cycles contain 32306564 unique relations
  248. Fri Sep 25 01:25:17 2020 read 32306564 relations
  249. Fri Sep 25 01:28:07 2020 multiplying 32306564 relations
  250. Fri Sep 25 01:42:16 2020 multiply complete, coefficients have about 843.25 million bits
  251. Fri Sep 25 01:42:23 2020 initial square root is modulo 36749527
  252. Fri Sep 25 02:02:26 2020 sqrtTime: 3015
  253. Fri Sep 25 02:02:26 2020 prp84 factor: 238334164069340332169737677005213007518601028607576390714036146884389147022529791451
  254. Fri Sep 25 02:02:26 2020 prp105 factor: 806169635580379719286870762901869148365139939927672798381486910652394924672179297736832972910753102818451
  255. Fri Sep 25 02:02:26 2020 elapsed time 699:00:53
  256.  
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