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  1. Tue May 12 08:26:00 2020
  2. Tue May 12 08:26:00 2020
  3. Tue May 12 08:26:00 2020 Msieve v. 1.53 (SVN 988M)
  4. Tue May 12 08:26:00 2020 random seeds: a4ffc440 59f8b2a9
  5. Tue May 12 08:26:00 2020 factoring 50258861164512481316892636906245235763139048943688369646603667223167961329669385340055611707464360993772863623462760631540366493115647532037452865382364186355849908080506977003689745311 (185 digits)
  6. Tue May 12 08:26:01 2020 searching for 15-digit factors
  7. Tue May 12 08:26:02 2020 commencing number field sieve (185-digit input)
  8. Tue May 12 08:26:02 2020 R0: 213950272706703123083784878253936767578125
  9. Tue May 12 08:26:02 2020 R1: -1
  10. Tue May 12 08:26:02 2020 A0: -45
  11. Tue May 12 08:26:02 2020 A1: 0
  12. Tue May 12 08:26:02 2020 A2: 0
  13. Tue May 12 08:26:02 2020 A3: 0
  14. Tue May 12 08:26:02 2020 A4: 0
  15. Tue May 12 08:26:02 2020 A5: 0
  16. Tue May 12 08:26:02 2020 A6: 1
  17. Tue May 12 08:26:02 2020 skew 1.89, size 3.321e-12, alpha 0.936, combined = 2.819e-13 rroots = 2
  18. Tue May 12 08:26:02 2020
  19. Tue May 12 08:26:02 2020 commencing relation filtering
  20. Tue May 12 08:26:02 2020 setting target matrix density to 120.0
  21. Tue May 12 08:26:02 2020 estimated available RAM is 32768.0 MB
  22. Tue May 12 08:26:02 2020 commencing duplicate removal, pass 1
  23. Tue May 12 08:29:44 2020 error -15 reading relation 38452334
  24. Tue May 12 08:32:25 2020 error -5 reading relation 65917923
  25. Tue May 12 08:40:14 2020 error -15 reading relation 146008901
  26. Tue May 12 08:41:10 2020 error -15 reading relation 155581141
  27. Tue May 12 08:43:10 2020 error -11 reading relation 175894574
  28. Tue May 12 08:45:19 2020 skipped 24 relations with b > 2^32
  29. Tue May 12 08:45:19 2020 skipped 2 relations with composite factors
  30. Tue May 12 08:45:19 2020 found 8583916 hash collisions in 197886487 relations
  31. Tue May 12 08:45:30 2020 added 1218706 free relations
  32. Tue May 12 08:45:30 2020 commencing duplicate removal, pass 2
  33. Tue May 12 08:46:14 2020 found 0 duplicates and 199105193 unique relations
  34. Tue May 12 08:46:14 2020 memory use: 522.4 MB
  35. Tue May 12 08:46:14 2020 reading ideals above 160497664
  36. Tue May 12 08:46:14 2020 commencing singleton removal, initial pass
  37. Tue May 12 09:00:04 2020 memory use: 3012.0 MB
  38. Tue May 12 09:00:05 2020 reading all ideals from disk
  39. Tue May 12 09:00:07 2020 memory use: 3478.8 MB
  40. Tue May 12 09:00:13 2020 commencing in-memory singleton removal
  41. Tue May 12 09:00:19 2020 begin with 199105193 relations and 161724777 unique ideals
  42. Tue May 12 09:01:42 2020 reduce to 134995853 relations and 91541703 ideals in 14 passes
  43. Tue May 12 09:01:42 2020 max relations containing the same ideal: 44
  44. Tue May 12 09:01:52 2020 reading ideals above 720000
  45. Tue May 12 09:01:52 2020 commencing singleton removal, initial pass
  46. Tue May 12 09:14:45 2020 memory use: 3012.0 MB
  47. Tue May 12 09:14:45 2020 reading all ideals from disk
  48. Tue May 12 09:14:48 2020 memory use: 5327.9 MB
  49. Tue May 12 09:14:59 2020 keeping 108864620 ideals with weight <= 200, target excess is 675451
  50. Tue May 12 09:15:12 2020 commencing in-memory singleton removal
  51. Tue May 12 09:15:20 2020 begin with 134995853 relations and 108864620 unique ideals
  52. Tue May 12 09:16:19 2020 reduce to 134991502 relations and 108860269 ideals in 6 passes
  53. Tue May 12 09:16:19 2020 max relations containing the same ideal: 200
  54. Tue May 12 09:17:08 2020 removing 10809078 relations and 8809078 ideals in 2000000 cliques
  55. Tue May 12 09:17:12 2020 commencing in-memory singleton removal
  56. Tue May 12 09:17:20 2020 begin with 124182424 relations and 108860269 unique ideals
  57. Tue May 12 09:18:31 2020 reduce to 123482980 relations and 99338182 ideals in 8 passes
  58. Tue May 12 09:18:31 2020 max relations containing the same ideal: 196
  59. Tue May 12 09:19:16 2020 removing 8273166 relations and 6273166 ideals in 2000000 cliques
  60. Tue May 12 09:19:19 2020 commencing in-memory singleton removal
  61. Tue May 12 09:19:26 2020 begin with 115209814 relations and 99338182 unique ideals
  62. Tue May 12 09:20:32 2020 reduce to 114746294 relations and 92593703 ideals in 8 passes
  63. Tue May 12 09:20:32 2020 max relations containing the same ideal: 191
  64. Tue May 12 09:21:14 2020 removing 7526136 relations and 5526136 ideals in 2000000 cliques
  65. Tue May 12 09:21:17 2020 commencing in-memory singleton removal
  66. Tue May 12 09:21:24 2020 begin with 107220158 relations and 92593703 unique ideals
  67. Tue May 12 09:22:17 2020 reduce to 106813351 relations and 86653668 ideals in 7 passes
  68. Tue May 12 09:22:17 2020 max relations containing the same ideal: 182
  69. Tue May 12 09:22:57 2020 removing 7146423 relations and 5146423 ideals in 2000000 cliques
  70. Tue May 12 09:22:59 2020 commencing in-memory singleton removal
  71. Tue May 12 09:23:06 2020 begin with 99666928 relations and 86653668 unique ideals
  72. Tue May 12 09:24:01 2020 reduce to 99282098 relations and 81115627 ideals in 8 passes
  73. Tue May 12 09:24:01 2020 max relations containing the same ideal: 175
  74. Tue May 12 09:24:38 2020 removing 6910428 relations and 4910428 ideals in 2000000 cliques
  75. Tue May 12 09:24:41 2020 commencing in-memory singleton removal
  76. Tue May 12 09:24:47 2020 begin with 92371670 relations and 81115627 unique ideals
  77. Tue May 12 09:25:32 2020 reduce to 91993128 relations and 75819756 ideals in 7 passes
  78. Tue May 12 09:25:32 2020 max relations containing the same ideal: 169
  79. Tue May 12 09:26:06 2020 removing 6759570 relations and 4759570 ideals in 2000000 cliques
  80. Tue May 12 09:26:09 2020 commencing in-memory singleton removal
  81. Tue May 12 09:26:14 2020 begin with 85233558 relations and 75819756 unique ideals
  82. Tue May 12 09:26:55 2020 reduce to 84853392 relations and 70672784 ideals in 7 passes
  83. Tue May 12 09:26:55 2020 max relations containing the same ideal: 160
  84. Tue May 12 09:27:27 2020 removing 6658547 relations and 4658547 ideals in 2000000 cliques
  85. Tue May 12 09:27:30 2020 commencing in-memory singleton removal
  86. Tue May 12 09:27:35 2020 begin with 78194845 relations and 70672784 unique ideals
  87. Tue May 12 09:28:07 2020 reduce to 77803328 relations and 65614661 ideals in 6 passes
  88. Tue May 12 09:28:07 2020 max relations containing the same ideal: 151
  89. Tue May 12 09:28:37 2020 removing 6593209 relations and 4593209 ideals in 2000000 cliques
  90. Tue May 12 09:28:39 2020 commencing in-memory singleton removal
  91. Tue May 12 09:28:43 2020 begin with 71210119 relations and 65614661 unique ideals
  92. Tue May 12 09:29:22 2020 reduce to 70800976 relations and 60602939 ideals in 8 passes
  93. Tue May 12 09:29:22 2020 max relations containing the same ideal: 143
  94. Tue May 12 09:29:50 2020 removing 6551268 relations and 4551268 ideals in 2000000 cliques
  95. Tue May 12 09:29:52 2020 commencing in-memory singleton removal
  96. Tue May 12 09:29:56 2020 begin with 64249708 relations and 60602939 unique ideals
  97. Tue May 12 09:30:26 2020 reduce to 63814911 relations and 55606157 ideals in 7 passes
  98. Tue May 12 09:30:26 2020 max relations containing the same ideal: 134
  99. Tue May 12 09:30:50 2020 removing 6529585 relations and 4529585 ideals in 2000000 cliques
  100. Tue May 12 09:30:52 2020 commencing in-memory singleton removal
  101. Tue May 12 09:30:56 2020 begin with 57285326 relations and 55606157 unique ideals
  102. Tue May 12 09:31:23 2020 reduce to 56815530 relations and 50593947 ideals in 7 passes
  103. Tue May 12 09:31:23 2020 max relations containing the same ideal: 121
  104. Tue May 12 09:31:44 2020 removing 6526711 relations and 4526711 ideals in 2000000 cliques
  105. Tue May 12 09:31:46 2020 commencing in-memory singleton removal
  106. Tue May 12 09:31:49 2020 begin with 50288819 relations and 50593947 unique ideals
  107. Tue May 12 09:32:16 2020 reduce to 49766080 relations and 45528667 ideals in 8 passes
  108. Tue May 12 09:32:16 2020 max relations containing the same ideal: 110
  109. Tue May 12 09:32:35 2020 removing 6545390 relations and 4545390 ideals in 2000000 cliques
  110. Tue May 12 09:32:37 2020 commencing in-memory singleton removal
  111. Tue May 12 09:32:40 2020 begin with 43220690 relations and 45528667 unique ideals
  112. Tue May 12 09:33:03 2020 reduce to 42620293 relations and 40362269 ideals in 8 passes
  113. Tue May 12 09:33:03 2020 max relations containing the same ideal: 99
  114. Tue May 12 09:33:19 2020 removing 5146610 relations and 3672110 ideals in 1474500 cliques
  115. Tue May 12 09:33:21 2020 commencing in-memory singleton removal
  116. Tue May 12 09:33:23 2020 begin with 37473683 relations and 40362269 unique ideals
  117. Tue May 12 09:33:41 2020 reduce to 37029354 relations and 36232361 ideals in 7 passes
  118. Tue May 12 09:33:41 2020 max relations containing the same ideal: 91
  119. Tue May 12 09:34:11 2020 removing 97267 relations and 83798 ideals in 13469 cliques
  120. Tue May 12 09:34:12 2020 commencing in-memory singleton removal
  121. Tue May 12 09:34:14 2020 begin with 36932087 relations and 36232361 unique ideals
  122. Tue May 12 09:34:26 2020 reduce to 36931918 relations and 36148394 ideals in 5 passes
  123. Tue May 12 09:34:26 2020 max relations containing the same ideal: 91
  124. Tue May 12 09:34:31 2020 relations with 0 large ideals: 25556
  125. Tue May 12 09:34:31 2020 relations with 1 large ideals: 10277
  126. Tue May 12 09:34:31 2020 relations with 2 large ideals: 130523
  127. Tue May 12 09:34:31 2020 relations with 3 large ideals: 883980
  128. Tue May 12 09:34:31 2020 relations with 4 large ideals: 3247400
  129. Tue May 12 09:34:31 2020 relations with 5 large ideals: 7137134
  130. Tue May 12 09:34:31 2020 relations with 6 large ideals: 9794518
  131. Tue May 12 09:34:31 2020 relations with 7+ large ideals: 15702530
  132. Tue May 12 09:34:31 2020 commencing 2-way merge
  133. Tue May 12 09:34:51 2020 reduce to 24496691 relation sets and 23713167 unique ideals
  134. Tue May 12 09:34:51 2020 commencing full merge
  135. Tue May 12 09:44:05 2020 memory use: 3125.5 MB
  136. Tue May 12 09:44:11 2020 found 10955941 cycles, need 10941367
  137. Tue May 12 09:44:11 2020 weight of 10941367 cycles is about 1313400293 (120.04/cycle)
  138. Tue May 12 09:44:11 2020 distribution of cycle lengths:
  139. Tue May 12 09:44:11 2020 1 relations: 444520
  140. Tue May 12 09:44:11 2020 2 relations: 640593
  141. Tue May 12 09:44:11 2020 3 relations: 757031
  142. Tue May 12 09:44:11 2020 4 relations: 789462
  143. Tue May 12 09:44:11 2020 5 relations: 810492
  144. Tue May 12 09:44:11 2020 6 relations: 802776
  145. Tue May 12 09:44:11 2020 7 relations: 789385
  146. Tue May 12 09:44:11 2020 8 relations: 753754
  147. Tue May 12 09:44:11 2020 9 relations: 708357
  148. Tue May 12 09:44:11 2020 10+ relations: 4444997
  149. Tue May 12 09:44:11 2020 heaviest cycle: 28 relations
  150. Tue May 12 09:44:16 2020 commencing cycle optimization
  151. Tue May 12 09:44:40 2020 start with 98571495 relations
  152. Tue May 12 09:49:00 2020 pruned 4683763 relations
  153. Tue May 12 09:49:00 2020 memory use: 2550.1 MB
  154. Tue May 12 09:49:00 2020 distribution of cycle lengths:
  155. Tue May 12 09:49:00 2020 1 relations: 444520
  156. Tue May 12 09:49:00 2020 2 relations: 656810
  157. Tue May 12 09:49:00 2020 3 relations: 789830
  158. Tue May 12 09:49:00 2020 4 relations: 823998
  159. Tue May 12 09:49:00 2020 5 relations: 852256
  160. Tue May 12 09:49:00 2020 6 relations: 843782
  161. Tue May 12 09:49:00 2020 7 relations: 831549
  162. Tue May 12 09:49:00 2020 8 relations: 790569
  163. Tue May 12 09:49:00 2020 9 relations: 741861
  164. Tue May 12 09:49:00 2020 10+ relations: 4166192
  165. Tue May 12 09:49:00 2020 heaviest cycle: 28 relations
  166. Tue May 12 09:49:26 2020 RelProcTime: 5004
  167. Tue May 12 09:49:26 2020
  168. Tue May 12 09:49:26 2020 commencing linear algebra
  169. Tue May 12 09:49:28 2020 read 10941367 cycles
  170. Tue May 12 09:49:51 2020 cycles contain 36510427 unique relations
  171. Tue May 12 09:52:12 2020 read 36510427 relations
  172. Tue May 12 09:53:28 2020 using 20 quadratic characters above 4294917295
  173. Tue May 12 09:55:37 2020 building initial matrix
  174. Tue May 12 10:01:50 2020 memory use: 4668.9 MB
  175. Tue May 12 10:02:02 2020 read 10941367 cycles
  176. Tue May 12 10:02:03 2020 matrix is 10941190 x 10941367 (5119.1 MB) with weight 1464326853 (133.83/col)
  177. Tue May 12 10:02:03 2020 sparse part has weight 1221591269 (111.65/col)
  178. Tue May 12 10:03:55 2020 filtering completed in 2 passes
  179. Tue May 12 10:03:57 2020 matrix is 10941093 x 10941270 (5119.1 MB) with weight 1464323677 (133.83/col)
  180. Tue May 12 10:03:57 2020 sparse part has weight 1221590407 (111.65/col)
  181. Tue May 12 10:04:32 2020 matrix starts at (0, 0)
  182. Tue May 12 10:04:33 2020 matrix is 10941093 x 10941270 (5119.1 MB) with weight 1464323677 (133.83/col)
  183. Tue May 12 10:04:33 2020 sparse part has weight 1221590407 (111.65/col)
  184. Tue May 12 10:04:33 2020 saving the first 48 matrix rows for later
  185. Tue May 12 10:04:35 2020 matrix includes 64 packed rows
  186. Tue May 12 10:04:36 2020 matrix is 10941045 x 10941270 (4896.4 MB) with weight 1261073087 (115.26/col)
  187. Tue May 12 10:04:36 2020 sparse part has weight 1174147328 (107.31/col)
  188. Tue May 12 10:04:36 2020 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  189. Tue May 12 10:05:28 2020 commencing Lanczos iteration (8 threads)
  190. Tue May 12 10:05:28 2020 memory use: 4183.8 MB
  191. Tue May 12 10:05:50 2020 linear algebra at 0.0%, ETA 42h 5m
  192. Tue May 12 10:05:57 2020 checkpointing every 270000 dimensions
  193. Tue May 12 19:12:27 2020 lanczos halted after 37107 iterations (dim = 2346351)
  194. Tue May 12 19:12:29 2020 BLanczosTime: 33783
  195. Tue May 12 19:12:29 2020
  196. Tue May 12 19:12:29 2020 commencing square root phase
  197. Tue May 12 19:12:29 2020 handling dependencies 1 to 64
  198. Tue May 12 19:12:29 2020 reading relations for dependency 1
  199. Tue May 12 19:12:29 2020 error: read_cycles can't open dependency file
  200. Tue May 12 20:01:35 2020
  201. Tue May 12 20:01:35 2020
  202. Tue May 12 20:01:35 2020 Msieve v. 1.53 (SVN 988M)
  203. Tue May 12 20:01:35 2020 random seeds: 09afc3f6 7a9e2d68
  204. Tue May 12 20:01:35 2020 factoring 50258861164512481316892636906245235763139048943688369646603667223167961329669385340055611707464360993772863623462760631540366493115647532037452865382364186355849908080506977003689745311 (185 digits)
  205. Tue May 12 20:01:36 2020 searching for 15-digit factors
  206. Tue May 12 20:01:37 2020 commencing number field sieve (185-digit input)
  207. Tue May 12 20:01:37 2020 R0: 213950272706703123083784878253936767578125
  208. Tue May 12 20:01:37 2020 R1: -1
  209. Tue May 12 20:01:37 2020 A0: -45
  210. Tue May 12 20:01:37 2020 A1: 0
  211. Tue May 12 20:01:37 2020 A2: 0
  212. Tue May 12 20:01:37 2020 A3: 0
  213. Tue May 12 20:01:37 2020 A4: 0
  214. Tue May 12 20:01:37 2020 A5: 0
  215. Tue May 12 20:01:37 2020 A6: 1
  216. Tue May 12 20:01:37 2020 skew 1.89, size 3.321e-12, alpha 0.936, combined = 2.819e-13 rroots = 2
  217. Tue May 12 20:01:37 2020
  218. Tue May 12 20:01:37 2020 commencing linear algebra
  219. Tue May 12 20:03:29 2020 matrix starts at (0, 0)
  220. Tue May 12 20:03:38 2020 matrix is 10941093 x 10941270 (5119.1 MB) with weight 1464323677 (133.83/col)
  221. Tue May 12 20:03:38 2020 sparse part has weight 1221590407 (111.65/col)
  222. Tue May 12 20:03:38 2020 saving the first 48 matrix rows for later
  223. Tue May 12 20:03:42 2020 matrix includes 64 packed rows
  224. Tue May 12 20:03:43 2020 matrix is 10941045 x 10941270 (4896.4 MB) with weight 1261073087 (115.26/col)
  225. Tue May 12 20:03:43 2020 sparse part has weight 1174147328 (107.31/col)
  226. Tue May 12 20:03:43 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  227. Tue May 12 20:04:44 2020 commencing Lanczos iteration (16 threads)
  228. Tue May 12 20:04:44 2020 memory use: 4184.0 MB
  229. Tue May 12 20:04:54 2020 restarting at iteration 37107 (dim = 2346351)
  230. Tue May 12 20:05:07 2020 linear algebra at 21.5%, ETA 20h24m
  231. Tue May 12 20:05:08 2020 checkpointing every 430000 dimensions
  232. Wed May 13 14:57:27 2020 lanczos halted after 173030 iterations (dim = 10941042)
  233. Wed May 13 14:57:36 2020 recovered 36 nontrivial dependencies
  234. Wed May 13 14:57:40 2020 BLanczosTime: 68163
  235. Wed May 13 14:57:40 2020 elapsed time 18:56:05
  236. Wed May 13 15:25:26 2020
  237. Wed May 13 15:25:26 2020
  238. Wed May 13 15:25:26 2020 Msieve v. 1.53 (SVN 988M)
  239. Wed May 13 15:25:26 2020 random seeds: 67ab9ea8 5b95179e
  240. Wed May 13 15:25:26 2020 factoring 50258861164512481316892636906245235763139048943688369646603667223167961329669385340055611707464360993772863623462760631540366493115647532037452865382364186355849908080506977003689745311 (185 digits)
  241. Wed May 13 15:25:28 2020 searching for 15-digit factors
  242. Wed May 13 15:25:29 2020 commencing number field sieve (185-digit input)
  243. Wed May 13 15:25:29 2020 R0: 213950272706703123083784878253936767578125
  244. Wed May 13 15:25:29 2020 R1: -1
  245. Wed May 13 15:25:29 2020 A0: -45
  246. Wed May 13 15:25:29 2020 A1: 0
  247. Wed May 13 15:25:29 2020 A2: 0
  248. Wed May 13 15:25:29 2020 A3: 0
  249. Wed May 13 15:25:29 2020 A4: 0
  250. Wed May 13 15:25:29 2020 A5: 0
  251. Wed May 13 15:25:29 2020 A6: 1
  252. Wed May 13 15:25:29 2020 skew 1.89, size 3.321e-12, alpha 0.936, combined = 2.819e-13 rroots = 2
  253. Wed May 13 15:25:29 2020
  254. Wed May 13 15:25:29 2020 commencing square root phase
  255. Wed May 13 15:25:29 2020 reading relations for dependency 1
  256. Wed May 13 15:25:39 2020 read 5470325 cycles
  257. Wed May 13 15:25:49 2020 cycles contain 18254410 unique relations
  258. Wed May 13 15:36:37 2020 read 18254410 relations
  259. Wed May 13 15:38:04 2020 multiplying 18254410 relations
  260. Wed May 13 15:47:43 2020 multiply complete, coefficients have about 463.79 million bits
  261. Wed May 13 15:47:44 2020 initial square root is modulo 209801407
  262. Wed May 13 15:57:58 2020 sqrtTime: 1949
  263. Wed May 13 15:57:58 2020 p89 factor: 54887946882007869398823389126648242344581884050281226394685085561362792521214884275875191
  264. Wed May 13 15:57:58 2020 p96 factor: 915662982850378928839103542336249289142536055928707971847237142003304300674658865968504198999321
  265. Wed May 13 15:57:58 2020 elapsed time 00:32:32
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