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Aug 28th, 2020
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  1. Mon Aug 24 14:00:20 2020
  2. Mon Aug 24 14:00:20 2020 Msieve v. 1.54 (SVN 1030)
  3. Mon Aug 24 14:00:20 2020 random seeds: 0c0a65b4 6d9c4614
  4. Mon Aug 24 14:00:20 2020 factoring 16442475831772064133201795070052525717510429200443146820387679548577706046545038625807634348952389668616410925349648545627737508868818370412815540920943873109867838620079176438975738220185010583881457 (200 digits)
  5. Mon Aug 24 14:00:21 2020 no P-1/P+1/ECM available, skipping
  6. Mon Aug 24 14:00:21 2020 commencing number field sieve (200-digit input)
  7. Mon Aug 24 14:00:21 2020 R0: 422747705583253519087546337495283016925184
  8. Mon Aug 24 14:00:21 2020 R1: 1
  9. Mon Aug 24 14:00:21 2020 A0: -78
  10. Mon Aug 24 14:00:21 2020 A1: 0
  11. Mon Aug 24 14:00:21 2020 A2: 0
  12. Mon Aug 24 14:00:21 2020 A3: 0
  13. Mon Aug 24 14:00:21 2020 A4: 0
  14. Mon Aug 24 14:00:21 2020 A5: 0
  15. Mon Aug 24 14:00:21 2020 A6: 1
  16. Mon Aug 24 14:00:21 2020 skew 2.07, size 3.948e-12, alpha -0.580, combined = 3.151e-13 rroots = 2
  17. Mon Aug 24 14:00:21 2020
  18. Mon Aug 24 14:00:21 2020 commencing relation filtering
  19. Mon Aug 24 14:00:21 2020 setting target matrix density to 120.0
  20. Mon Aug 24 14:00:21 2020 estimated available RAM is 16046.7 MB
  21. Mon Aug 24 14:00:21 2020 commencing duplicate removal, pass 1
  22. [ . . . skipped 407 error -n reading relation nnn messages . . . ]
  23. [ 53 error -1 ]
  24. [ 60 error -5 ]
  25. [ 184 error -9 ]
  26. [ 2 error -11 ]
  27. [ 108 error -15 ]
  28. Mon Aug 24 14:39:05 2020 skipped 21 relations with b > 2^32
  29. Mon Aug 24 14:39:05 2020 skipped 270 relations with composite factors
  30. Mon Aug 24 14:39:05 2020 found 48231694 hash collisions in 248548392 relations
  31. Mon Aug 24 14:39:22 2020 added 1218544 free relations
  32. Mon Aug 24 14:39:22 2020 commencing duplicate removal, pass 2
  33. Mon Aug 24 14:45:38 2020 found 46800696 duplicates and 202966240 unique relations
  34. Mon Aug 24 14:45:38 2020 memory use: 1321.5 MB
  35. Mon Aug 24 14:45:38 2020 reading ideals above 145031168
  36. Mon Aug 24 14:45:38 2020 commencing singleton removal, initial pass
  37. Mon Aug 24 15:12:31 2020 memory use: 5512.0 MB
  38. Mon Aug 24 15:12:31 2020 reading all ideals from disk
  39. Mon Aug 24 15:12:35 2020 memory use: 3625.4 MB
  40. Mon Aug 24 15:12:45 2020 commencing in-memory singleton removal
  41. Mon Aug 24 15:12:56 2020 begin with 202966240 relations and 164870268 unique ideals
  42. Mon Aug 24 15:14:31 2020 reduce to 140908129 relations and 97206639 ideals in 13 passes
  43. Mon Aug 24 15:14:31 2020 max relations containing the same ideal: 28
  44. Mon Aug 24 15:14:37 2020 reading ideals above 720000
  45. Mon Aug 24 15:14:37 2020 commencing singleton removal, initial pass
  46. Mon Aug 24 15:41:07 2020 memory use: 3012.0 MB
  47. Mon Aug 24 15:41:07 2020 reading all ideals from disk
  48. Mon Aug 24 15:41:13 2020 memory use: 5538.3 MB
  49. Mon Aug 24 15:41:33 2020 keeping 112865945 ideals with weight <= 200, target excess is 694609
  50. Mon Aug 24 15:42:02 2020 commencing in-memory singleton removal
  51. Mon Aug 24 15:42:18 2020 begin with 140908129 relations and 112865945 unique ideals
  52. Mon Aug 24 15:44:45 2020 reduce to 140907550 relations and 112865366 ideals in 6 passes
  53. Mon Aug 24 15:44:45 2020 max relations containing the same ideal: 200
  54. Mon Aug 24 15:46:25 2020 removing 10708685 relations and 8708685 ideals in 2000000 cliques
  55. Mon Aug 24 15:46:30 2020 commencing in-memory singleton removal
  56. Mon Aug 24 15:46:45 2020 begin with 130198865 relations and 112865366 unique ideals
  57. Mon Aug 24 15:50:08 2020 reduce to 129520791 relations and 103465758 ideals in 9 passes
  58. Mon Aug 24 15:50:08 2020 max relations containing the same ideal: 197
  59. Mon Aug 24 15:51:40 2020 removing 8214871 relations and 6214871 ideals in 2000000 cliques
  60. Mon Aug 24 15:51:43 2020 commencing in-memory singleton removal
  61. Mon Aug 24 15:51:56 2020 begin with 121305920 relations and 103465758 unique ideals
  62. Mon Aug 24 15:53:21 2020 reduce to 120855230 relations and 96792904 ideals in 7 passes
  63. Mon Aug 24 15:53:21 2020 max relations containing the same ideal: 189
  64. Mon Aug 24 15:54:06 2020 removing 7475454 relations and 5475454 ideals in 2000000 cliques
  65. Mon Aug 24 15:54:09 2020 commencing in-memory singleton removal
  66. Mon Aug 24 15:54:16 2020 begin with 113379776 relations and 96792904 unique ideals
  67. Mon Aug 24 15:57:03 2020 reduce to 112985700 relations and 90916989 ideals in 9 passes
  68. Mon Aug 24 15:57:03 2020 max relations containing the same ideal: 185
  69. Mon Aug 24 15:58:25 2020 removing 7103800 relations and 5103800 ideals in 2000000 cliques
  70. Mon Aug 24 15:58:28 2020 commencing in-memory singleton removal
  71. Mon Aug 24 15:58:40 2020 begin with 105881900 relations and 90916989 unique ideals
  72. Mon Aug 24 16:00:45 2020 reduce to 105509331 relations and 85434306 ideals in 7 passes
  73. Mon Aug 24 16:00:45 2020 max relations containing the same ideal: 175
  74. Mon Aug 24 16:02:02 2020 removing 6873614 relations and 4873614 ideals in 2000000 cliques
  75. Mon Aug 24 16:02:05 2020 commencing in-memory singleton removal
  76. Mon Aug 24 16:02:16 2020 begin with 98635717 relations and 85434306 unique ideals
  77. Mon Aug 24 16:03:55 2020 reduce to 98271649 relations and 80190087 ideals in 6 passes
  78. Mon Aug 24 16:03:55 2020 max relations containing the same ideal: 170
  79. Mon Aug 24 16:05:06 2020 removing 6730824 relations and 4730824 ideals in 2000000 cliques
  80. Mon Aug 24 16:05:09 2020 commencing in-memory singleton removal
  81. Mon Aug 24 16:05:18 2020 begin with 91540825 relations and 80190087 unique ideals
  82. Mon Aug 24 16:06:40 2020 reduce to 91174791 relations and 75086384 ideals in 8 passes
  83. Mon Aug 24 16:06:40 2020 max relations containing the same ideal: 160
  84. Mon Aug 24 16:07:22 2020 removing 6632333 relations and 4632333 ideals in 2000000 cliques
  85. Mon Aug 24 16:07:24 2020 commencing in-memory singleton removal
  86. Mon Aug 24 16:07:29 2020 begin with 84542458 relations and 75086384 unique ideals
  87. Mon Aug 24 16:08:11 2020 reduce to 84167208 relations and 70071328 ideals in 7 passes
  88. Mon Aug 24 16:08:11 2020 max relations containing the same ideal: 152
  89. Mon Aug 24 16:08:44 2020 removing 6573432 relations and 4573432 ideals in 2000000 cliques
  90. Mon Aug 24 16:08:46 2020 commencing in-memory singleton removal
  91. Mon Aug 24 16:08:51 2020 begin with 77593776 relations and 70071328 unique ideals
  92. Mon Aug 24 16:09:51 2020 reduce to 77199925 relations and 65095698 ideals in 7 passes
  93. Mon Aug 24 16:09:51 2020 max relations containing the same ideal: 143
  94. Mon Aug 24 16:10:49 2020 removing 6540386 relations and 4540386 ideals in 2000000 cliques
  95. Mon Aug 24 16:10:52 2020 commencing in-memory singleton removal
  96. Mon Aug 24 16:11:00 2020 begin with 70659539 relations and 65095698 unique ideals
  97. Mon Aug 24 16:12:20 2020 reduce to 70240060 relations and 60126368 ideals in 7 passes
  98. Mon Aug 24 16:12:20 2020 max relations containing the same ideal: 134
  99. Mon Aug 24 16:13:13 2020 removing 6535568 relations and 4535568 ideals in 2000000 cliques
  100. Mon Aug 24 16:13:15 2020 commencing in-memory singleton removal
  101. Mon Aug 24 16:13:22 2020 begin with 63704492 relations and 60126368 unique ideals
  102. Mon Aug 24 16:14:34 2020 reduce to 63251014 relations and 55126030 ideals in 7 passes
  103. Mon Aug 24 16:14:34 2020 max relations containing the same ideal: 127
  104. Mon Aug 24 16:15:22 2020 removing 6554931 relations and 4554931 ideals in 2000000 cliques
  105. Mon Aug 24 16:15:24 2020 commencing in-memory singleton removal
  106. Mon Aug 24 16:15:31 2020 begin with 56696083 relations and 55126030 unique ideals
  107. Mon Aug 24 16:16:34 2020 reduce to 56193278 relations and 50054429 ideals in 7 passes
  108. Mon Aug 24 16:16:34 2020 max relations containing the same ideal: 115
  109. Mon Aug 24 16:17:17 2020 removing 6591661 relations and 4591661 ideals in 2000000 cliques
  110. Mon Aug 24 16:17:19 2020 commencing in-memory singleton removal
  111. Mon Aug 24 16:17:25 2020 begin with 49601617 relations and 50054429 unique ideals
  112. Mon Aug 24 16:18:27 2020 reduce to 49031425 relations and 44875053 ideals in 8 passes
  113. Mon Aug 24 16:18:27 2020 max relations containing the same ideal: 108
  114. Mon Aug 24 16:19:05 2020 removing 6657066 relations and 4657066 ideals in 2000000 cliques
  115. Mon Aug 24 16:19:07 2020 commencing in-memory singleton removal
  116. Mon Aug 24 16:19:11 2020 begin with 42374359 relations and 44875053 unique ideals
  117. Mon Aug 24 16:19:53 2020 reduce to 41707245 relations and 39527334 ideals in 8 passes
  118. Mon Aug 24 16:19:53 2020 max relations containing the same ideal: 93
  119. Mon Aug 24 16:20:21 2020 removing 4994886 relations and 3620722 ideals in 1374164 cliques
  120. Mon Aug 24 16:20:23 2020 commencing in-memory singleton removal
  121. Mon Aug 24 16:20:26 2020 begin with 36712359 relations and 39527334 unique ideals
  122. Mon Aug 24 16:20:52 2020 reduce to 36262570 relations and 35443554 ideals in 8 passes
  123. Mon Aug 24 16:20:52 2020 max relations containing the same ideal: 86
  124. Mon Aug 24 16:21:10 2020 removing 100091 relations and 86822 ideals in 13269 cliques
  125. Mon Aug 24 16:21:11 2020 commencing in-memory singleton removal
  126. Mon Aug 24 16:21:13 2020 begin with 36162479 relations and 35443554 unique ideals
  127. Mon Aug 24 16:21:25 2020 reduce to 36162282 relations and 35356535 ideals in 4 passes
  128. Mon Aug 24 16:21:25 2020 max relations containing the same ideal: 86
  129. Mon Aug 24 16:21:32 2020 relations with 0 large ideals: 26128
  130. Mon Aug 24 16:21:32 2020 relations with 1 large ideals: 9980
  131. Mon Aug 24 16:21:32 2020 relations with 2 large ideals: 143537
  132. Mon Aug 24 16:21:32 2020 relations with 3 large ideals: 953644
  133. Mon Aug 24 16:21:32 2020 relations with 4 large ideals: 3410262
  134. Mon Aug 24 16:21:32 2020 relations with 5 large ideals: 7289763
  135. Mon Aug 24 16:21:32 2020 relations with 6 large ideals: 9697237
  136. Mon Aug 24 16:21:32 2020 relations with 7+ large ideals: 14631731
  137. Mon Aug 24 16:21:32 2020 commencing 2-way merge
  138. Mon Aug 24 16:21:52 2020 reduce to 23643459 relation sets and 22837712 unique ideals
  139. Mon Aug 24 16:21:53 2020 commencing full merge
  140. Mon Aug 24 16:36:04 2020 memory use: 3017.1 MB
  141. Mon Aug 24 16:36:06 2020 found 10508099 cycles, need 10505912
  142. Mon Aug 24 16:36:10 2020 weight of 10505912 cycles is about 1261355611 (120.06/cycle)
  143. Mon Aug 24 16:36:10 2020 distribution of cycle lengths:
  144. Mon Aug 24 16:36:10 2020 1 relations: 471046
  145. Mon Aug 24 16:36:10 2020 2 relations: 637367
  146. Mon Aug 24 16:36:10 2020 3 relations: 726467
  147. Mon Aug 24 16:36:10 2020 4 relations: 742272
  148. Mon Aug 24 16:36:10 2020 5 relations: 752971
  149. Mon Aug 24 16:36:10 2020 6 relations: 744432
  150. Mon Aug 24 16:36:10 2020 7 relations: 730526
  151. Mon Aug 24 16:36:10 2020 8 relations: 697573
  152. Mon Aug 24 16:36:10 2020 9 relations: 659759
  153. Mon Aug 24 16:36:10 2020 10+ relations: 4343499
  154. Mon Aug 24 16:36:10 2020 heaviest cycle: 28 relations
  155. Mon Aug 24 16:36:12 2020 commencing cycle optimization
  156. Mon Aug 24 16:36:43 2020 start with 95718514 relations
  157. Mon Aug 24 16:43:03 2020 pruned 4481384 relations
  158. Mon Aug 24 16:43:03 2020 memory use: 2482.9 MB
  159. Mon Aug 24 16:43:03 2020 distribution of cycle lengths:
  160. Mon Aug 24 16:43:03 2020 1 relations: 471046
  161. Mon Aug 24 16:43:03 2020 2 relations: 652801
  162. Mon Aug 24 16:43:03 2020 3 relations: 756631
  163. Mon Aug 24 16:43:03 2020 4 relations: 772890
  164. Mon Aug 24 16:43:03 2020 5 relations: 789989
  165. Mon Aug 24 16:43:03 2020 6 relations: 780415
  166. Mon Aug 24 16:43:03 2020 7 relations: 768375
  167. Mon Aug 24 16:43:03 2020 8 relations: 731551
  168. Mon Aug 24 16:43:03 2020 9 relations: 692342
  169. Mon Aug 24 16:43:03 2020 10+ relations: 4089872
  170. Mon Aug 24 16:43:03 2020 heaviest cycle: 28 relations
  171. Mon Aug 24 16:43:27 2020 RelProcTime: 9786
  172. Mon Aug 24 16:43:27 2020 elapsed time 02:43:07
  173. Mon Aug 24 16:48:06 2020
  174. Mon Aug 24 16:48:06 2020
  175. Mon Aug 24 16:48:06 2020 Msieve v. 1.54 (SVN 1030)
  176. Mon Aug 24 16:48:06 2020 random seeds: 26ac3d8c d420dd05
  177. Mon Aug 24 16:48:06 2020 factoring 16442475831772064133201795070052525717510429200443146820387679548577706046545038625807634348952389668616410925349648545627737508868818370412815540920943873109867838620079176438975738220185010583881457 (200 digits)
  178. Mon Aug 24 16:48:07 2020 no P-1/P+1/ECM available, skipping
  179. Mon Aug 24 16:48:07 2020 commencing number field sieve (200-digit input)
  180. Mon Aug 24 16:48:07 2020 R0: 422747705583253519087546337495283016925184
  181. Mon Aug 24 16:48:07 2020 R1: 1
  182. Mon Aug 24 16:48:07 2020 A0: -78
  183. Mon Aug 24 16:48:07 2020 A1: 0
  184. Mon Aug 24 16:48:07 2020 A2: 0
  185. Mon Aug 24 16:48:07 2020 A3: 0
  186. Mon Aug 24 16:48:07 2020 A4: 0
  187. Mon Aug 24 16:48:07 2020 A5: 0
  188. Mon Aug 24 16:48:07 2020 A6: 1
  189. Mon Aug 24 16:48:07 2020 skew 2.07, size 3.948e-12, alpha -0.580, combined = 3.151e-13 rroots = 2
  190. Mon Aug 24 16:48:07 2020
  191. Mon Aug 24 16:48:07 2020 commencing linear algebra
  192. Mon Aug 24 16:48:08 2020 read 10505912 cycles
  193. Mon Aug 24 16:48:25 2020 cycles contain 35710810 unique relations
  194. Mon Aug 24 16:53:27 2020 read 35710810 relations
  195. Mon Aug 24 16:54:54 2020 using 20 quadratic characters above 4294917295
  196. Mon Aug 24 16:57:02 2020 building initial matrix
  197. Mon Aug 24 17:03:47 2020 memory use: 4750.9 MB
  198. Mon Aug 24 17:03:51 2020 read 10505912 cycles
  199. Mon Aug 24 17:03:53 2020 matrix is 10505735 x 10505912 (4919.6 MB) with weight 1461439416 (139.11/col)
  200. Mon Aug 24 17:03:53 2020 sparse part has weight 1174069370 (111.75/col)
  201. Mon Aug 24 17:05:34 2020 filtering completed in 2 passes
  202. Mon Aug 24 17:05:37 2020 matrix is 10505677 x 10505854 (4919.6 MB) with weight 1461437326 (139.11/col)
  203. Mon Aug 24 17:05:37 2020 sparse part has weight 1174068980 (111.75/col)
  204. Mon Aug 24 17:06:13 2020 matrix starts at (0, 0)
  205. Mon Aug 24 17:06:14 2020 matrix is 10505677 x 10505854 (4919.6 MB) with weight 1461437326 (139.11/col)
  206. Mon Aug 24 17:06:14 2020 sparse part has weight 1174068980 (111.75/col)
  207. Mon Aug 24 17:06:14 2020 saving the first 48 matrix rows for later
  208. Mon Aug 24 17:06:15 2020 matrix includes 64 packed rows
  209. Mon Aug 24 17:06:17 2020 matrix is 10505629 x 10505854 (4762.5 MB) with weight 1249058589 (118.89/col)
  210. Mon Aug 24 17:06:17 2020 sparse part has weight 1143414726 (108.84/col)
  211. Mon Aug 24 17:06:17 2020 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  212. Mon Aug 24 17:06:51 2020 commencing Lanczos iteration (12 threads)
  213. Mon Aug 24 17:06:51 2020 memory use: 4543.3 MB
  214. Mon Aug 24 17:07:34 2020 linear algebra at 0.0%, ETA 78h33m
  215. Mon Aug 24 17:07:48 2020 checkpointing every 140000 dimensions
  216. Fri Aug 28 00:13:03 2020 lanczos halted after 166133 iterations (dim = 10505628)
  217. Fri Aug 28 00:13:13 2020 recovered 37 nontrivial dependencies
  218. Fri Aug 28 00:13:13 2020 BLanczosTime: 285906
  219. Fri Aug 28 00:13:13 2020 elapsed time 79:25:07
  220. Fri Aug 28 00:13:13 2020
  221. Fri Aug 28 00:13:13 2020
  222. Fri Aug 28 00:13:13 2020 Msieve v. 1.54 (SVN 1030)
  223. Fri Aug 28 00:13:13 2020 random seeds: 56085dca eac9d8e5
  224. Fri Aug 28 00:13:13 2020 factoring 16442475831772064133201795070052525717510429200443146820387679548577706046545038625807634348952389668616410925349648545627737508868818370412815540920943873109867838620079176438975738220185010583881457 (200 digits)
  225. Fri Aug 28 00:13:14 2020 no P-1/P+1/ECM available, skipping
  226. Fri Aug 28 00:13:14 2020 commencing number field sieve (200-digit input)
  227. Fri Aug 28 00:13:14 2020 R0: 422747705583253519087546337495283016925184
  228. Fri Aug 28 00:13:14 2020 R1: 1
  229. Fri Aug 28 00:13:14 2020 A0: -78
  230. Fri Aug 28 00:13:14 2020 A1: 0
  231. Fri Aug 28 00:13:14 2020 A2: 0
  232. Fri Aug 28 00:13:14 2020 A3: 0
  233. Fri Aug 28 00:13:14 2020 A4: 0
  234. Fri Aug 28 00:13:14 2020 A5: 0
  235. Fri Aug 28 00:13:14 2020 A6: 1
  236. Fri Aug 28 00:13:14 2020 skew 2.07, size 3.948e-12, alpha -0.580, combined = 3.151e-13 rroots = 2
  237. Fri Aug 28 00:13:14 2020
  238. Fri Aug 28 00:13:14 2020 commencing square root phase
  239. Fri Aug 28 00:13:14 2020 reading relations for dependency 1
  240. Fri Aug 28 00:13:15 2020 read 5252962 cycles
  241. Fri Aug 28 00:13:23 2020 cycles contain 17853324 unique relations
  242. Fri Aug 28 00:17:19 2020 read 17853324 relations
  243. Fri Aug 28 00:18:26 2020 multiplying 17853324 relations
  244. Fri Aug 28 00:27:43 2020 multiply complete, coefficients have about 453.34 million bits
  245. Fri Aug 28 00:27:46 2020 initial square root is modulo 136251127
  246. Fri Aug 28 00:38:26 2020 GCD is N, no factor found
  247. Fri Aug 28 00:38:26 2020 reading relations for dependency 2
  248. Fri Aug 28 00:38:27 2020 read 5252642 cycles
  249. Fri Aug 28 00:38:36 2020 cycles contain 17856260 unique relations
  250. Fri Aug 28 00:42:29 2020 read 17856260 relations
  251. Fri Aug 28 00:43:37 2020 multiplying 17856260 relations
  252. Fri Aug 28 00:52:56 2020 multiply complete, coefficients have about 453.42 million bits
  253. Fri Aug 28 00:52:58 2020 initial square root is modulo 136683259
  254. Fri Aug 28 01:03:38 2020 sqrtTime: 3024
  255. Fri Aug 28 01:03:38 2020 p78 factor: 103602912511803521419560624000768917463551070080350767473292351655659495234359
  256. Fri Aug 28 01:03:38 2020 p123 factor: 158706694948356459186909400089713516000195357649719443968804068681560006142131052274180074959386957882776927452428394156823
  257. Fri Aug 28 01:03:38 2020 elapsed time 00:50:25
  258.  
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