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Feb 23rd, 2020
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  1. Thu Jan 30 17:48:01 2020
  2. Thu Jan 30 17:48:01 2020
  3. Thu Jan 30 17:48:01 2020 Msieve v. 1.54 (SVN 1030)
  4. Thu Jan 30 17:48:01 2020 random seeds: 1f4f0c49 67d5ef75
  5. Thu Jan 30 17:48:01 2020 factoring 1685249655572939297605507706993366912928512269983250389315098810277069606673042013689890084587635684242649433682665032348065373649381714216853655700027850620277288753722475554324588003990317999644531647238136000042631 (217 digits)
  6. Thu Jan 30 17:48:02 2020 no P-1/P+1/ECM available, skipping
  7. Thu Jan 30 17:48:02 2020 commencing number field sieve (217-digit input)
  8. Thu Jan 30 17:48:02 2020 R0: 2787593149816327892691964784081045188247552
  9. Thu Jan 30 17:48:02 2020 R1: -5243338316756303634461458718861951455543
  10. Thu Jan 30 17:48:02 2020 A0: 1
  11. Thu Jan 30 17:48:02 2020 A1: -1
  12. Thu Jan 30 17:48:02 2020 A2: 1
  13. Thu Jan 30 17:48:02 2020 A3: -1
  14. Thu Jan 30 17:48:02 2020 A4: 1
  15. Thu Jan 30 17:48:02 2020 A5: -1
  16. Thu Jan 30 17:48:02 2020 A6: 1
  17. Thu Jan 30 17:48:02 2020 skew 1.00, size 1.451e-12, alpha 2.428, combined = 1.529e-13 rroots = 0
  18. Thu Jan 30 17:48:02 2020
  19. Thu Jan 30 17:48:02 2020 commencing relation filtering
  20. Thu Jan 30 17:48:02 2020 estimated available RAM is 64285.8 MB
  21. Thu Jan 30 17:48:02 2020 commencing duplicate removal, pass 1
  22. Thu Jan 30 18:02:18 2020 error -15 reading relation 111339936
  23. Thu Jan 30 18:06:56 2020 error -11 reading relation 149995376
  24. Thu Jan 30 18:09:42 2020 skipped 149 relations with b > 2^32
  25. Thu Jan 30 18:09:42 2020 found 6611516 hash collisions in 172976533 relations
  26. Thu Jan 30 18:09:48 2020 added 2438534 free relations
  27. Thu Jan 30 18:09:48 2020 commencing duplicate removal, pass 2
  28. Thu Jan 30 18:10:47 2020 found 3 duplicates and 175415064 unique relations
  29. Thu Jan 30 18:10:47 2020 memory use: 506.4 MB
  30. Thu Jan 30 18:10:47 2020 reading ideals above 720000
  31. Thu Jan 30 18:10:47 2020 commencing singleton removal, initial pass
  32. Thu Jan 30 18:34:16 2020 memory use: 5512.0 MB
  33. Thu Jan 30 18:34:16 2020 reading all ideals from disk
  34. Thu Jan 30 18:34:22 2020 memory use: 7064.9 MB
  35. Thu Jan 30 18:34:48 2020 keeping 174578991 ideals with weight <= 200, target excess is 879033
  36. Thu Jan 30 18:35:19 2020 commencing in-memory singleton removal
  37. Thu Jan 30 18:35:41 2020 begin with 175415064 relations and 174578991 unique ideals
  38. Thu Jan 30 18:39:43 2020 reduce to 102040936 relations and 92554195 ideals in 18 passes
  39. Thu Jan 30 18:39:43 2020 max relations containing the same ideal: 146
  40. Thu Jan 30 18:40:59 2020 removing 7993004 relations and 6993004 ideals in 1000000 cliques
  41. Thu Jan 30 18:41:01 2020 commencing in-memory singleton removal
  42. Thu Jan 30 18:41:10 2020 begin with 94047932 relations and 92554195 unique ideals
  43. Thu Jan 30 18:42:36 2020 reduce to 93529781 relations and 85035783 ideals in 9 passes
  44. Thu Jan 30 18:42:36 2020 max relations containing the same ideal: 139
  45. Thu Jan 30 18:43:44 2020 removing 5928442 relations and 4928442 ideals in 1000000 cliques
  46. Thu Jan 30 18:43:46 2020 commencing in-memory singleton removal
  47. Thu Jan 30 18:43:55 2020 begin with 87601339 relations and 85035783 unique ideals
  48. Thu Jan 30 18:45:25 2020 reduce to 87288230 relations and 79790476 ideals in 10 passes
  49. Thu Jan 30 18:45:25 2020 max relations containing the same ideal: 132
  50. Thu Jan 30 18:46:27 2020 removing 5270649 relations and 4270649 ideals in 1000000 cliques
  51. Thu Jan 30 18:46:29 2020 commencing in-memory singleton removal
  52. Thu Jan 30 18:46:36 2020 begin with 82017581 relations and 79790476 unique ideals
  53. Thu Jan 30 18:47:43 2020 reduce to 81753893 relations and 75253024 ideals in 9 passes
  54. Thu Jan 30 18:47:43 2020 max relations containing the same ideal: 127
  55. Thu Jan 30 18:48:37 2020 removing 4912375 relations and 3912375 ideals in 1000000 cliques
  56. Thu Jan 30 18:48:39 2020 commencing in-memory singleton removal
  57. Thu Jan 30 18:48:45 2020 begin with 76841518 relations and 75253024 unique ideals
  58. Thu Jan 30 18:49:51 2020 reduce to 76598408 relations and 71094661 ideals in 9 passes
  59. Thu Jan 30 18:49:51 2020 max relations containing the same ideal: 124
  60. Thu Jan 30 18:50:38 2020 removing 4679578 relations and 3679578 ideals in 1000000 cliques
  61. Thu Jan 30 18:50:40 2020 commencing in-memory singleton removal
  62. Thu Jan 30 18:50:46 2020 begin with 71918830 relations and 71094661 unique ideals
  63. Thu Jan 30 18:51:37 2020 reduce to 71684760 relations and 67178115 ideals in 8 passes
  64. Thu Jan 30 18:51:37 2020 max relations containing the same ideal: 117
  65. Thu Jan 30 18:52:25 2020 removing 4520144 relations and 3520144 ideals in 1000000 cliques
  66. Thu Jan 30 18:52:26 2020 commencing in-memory singleton removal
  67. Thu Jan 30 18:52:32 2020 begin with 67164616 relations and 67178115 unique ideals
  68. Thu Jan 30 18:53:20 2020 reduce to 66932149 relations and 63422513 ideals in 8 passes
  69. Thu Jan 30 18:53:20 2020 max relations containing the same ideal: 112
  70. Thu Jan 30 18:54:03 2020 removing 4407043 relations and 3407043 ideals in 1000000 cliques
  71. Thu Jan 30 18:54:04 2020 commencing in-memory singleton removal
  72. Thu Jan 30 18:54:10 2020 begin with 62525106 relations and 63422513 unique ideals
  73. Thu Jan 30 18:54:49 2020 reduce to 62290484 relations and 59777672 ideals in 7 passes
  74. Thu Jan 30 18:54:49 2020 max relations containing the same ideal: 108
  75. Thu Jan 30 18:55:31 2020 removing 4326882 relations and 3326882 ideals in 1000000 cliques
  76. Thu Jan 30 18:55:32 2020 commencing in-memory singleton removal
  77. Thu Jan 30 18:55:37 2020 begin with 57963602 relations and 59777672 unique ideals
  78. Thu Jan 30 18:56:13 2020 reduce to 57718432 relations and 56202084 ideals in 7 passes
  79. Thu Jan 30 18:56:13 2020 max relations containing the same ideal: 103
  80. Thu Jan 30 18:56:50 2020 removing 2419214 relations and 1922545 ideals in 496669 cliques
  81. Thu Jan 30 18:56:51 2020 commencing in-memory singleton removal
  82. Thu Jan 30 18:56:55 2020 begin with 55299218 relations and 56202084 unique ideals
  83. Thu Jan 30 18:57:31 2020 reduce to 55221614 relations and 54201344 ideals in 7 passes
  84. Thu Jan 30 18:57:31 2020 max relations containing the same ideal: 100
  85. Thu Jan 30 18:58:13 2020 relations with 0 large ideals: 66408
  86. Thu Jan 30 18:58:13 2020 relations with 1 large ideals: 16892
  87. Thu Jan 30 18:58:13 2020 relations with 2 large ideals: 172590
  88. Thu Jan 30 18:58:13 2020 relations with 3 large ideals: 1160569
  89. Thu Jan 30 18:58:13 2020 relations with 4 large ideals: 4359002
  90. Thu Jan 30 18:58:13 2020 relations with 5 large ideals: 9919637
  91. Thu Jan 30 18:58:13 2020 relations with 6 large ideals: 14231473
  92. Thu Jan 30 18:58:13 2020 relations with 7+ large ideals: 25295043
  93. Thu Jan 30 18:58:13 2020 commencing 2-way merge
  94. Thu Jan 30 18:58:59 2020 reduce to 36557609 relation sets and 35537339 unique ideals
  95. Thu Jan 30 18:58:59 2020 commencing full merge
  96. Thu Jan 30 19:14:53 2020 memory use: 4578.7 MB
  97. Thu Jan 30 19:14:59 2020 found 17844951 cycles, need 17723539
  98. Thu Jan 30 19:15:06 2020 weight of 17723539 cycles is about 1595517824 (90.02/cycle)
  99. Thu Jan 30 19:15:06 2020 distribution of cycle lengths:
  100. Thu Jan 30 19:15:06 2020 1 relations: 1550011
  101. Thu Jan 30 19:15:06 2020 2 relations: 1719282
  102. Thu Jan 30 19:15:06 2020 3 relations: 1763807
  103. Thu Jan 30 19:15:06 2020 4 relations: 1658936
  104. Thu Jan 30 19:15:06 2020 5 relations: 1546273
  105. Thu Jan 30 19:15:06 2020 6 relations: 1408921
  106. Thu Jan 30 19:15:06 2020 7 relations: 1278396
  107. Thu Jan 30 19:15:06 2020 8 relations: 1139017
  108. Thu Jan 30 19:15:06 2020 9 relations: 1014781
  109. Thu Jan 30 19:15:06 2020 10+ relations: 4644115
  110. Thu Jan 30 19:15:06 2020 heaviest cycle: 28 relations
  111. Thu Jan 30 19:15:13 2020 commencing cycle optimization
  112. Thu Jan 30 19:15:54 2020 start with 121962778 relations
  113. Thu Jan 30 19:20:56 2020 pruned 3987265 relations
  114. Thu Jan 30 19:20:58 2020 memory use: 3546.1 MB
  115. Thu Jan 30 19:20:58 2020 distribution of cycle lengths:
  116. Thu Jan 30 19:20:58 2020 1 relations: 1550011
  117. Thu Jan 30 19:20:58 2020 2 relations: 1754343
  118. Thu Jan 30 19:20:58 2020 3 relations: 1829168
  119. Thu Jan 30 19:20:58 2020 4 relations: 1711832
  120. Thu Jan 30 19:20:58 2020 5 relations: 1601111
  121. Thu Jan 30 19:20:58 2020 6 relations: 1448892
  122. Thu Jan 30 19:20:58 2020 7 relations: 1312607
  123. Thu Jan 30 19:20:58 2020 8 relations: 1162115
  124. Thu Jan 30 19:20:58 2020 9 relations: 1029069
  125. Thu Jan 30 19:20:58 2020 10+ relations: 4324391
  126. Thu Jan 30 19:20:58 2020 heaviest cycle: 28 relations
  127. Thu Jan 30 19:21:44 2020 RelProcTime: 5622
  128. Thu Jan 30 19:21:44 2020
  129. Thu Jan 30 19:21:44 2020 commencing linear algebra
  130. Thu Jan 30 19:21:45 2020 read 17723539 cycles
  131. Thu Jan 30 19:22:20 2020 cycles contain 54621591 unique relations
  132. Thu Jan 30 19:26:16 2020 read 54621591 relations
  133. Thu Jan 30 19:30:17 2020 using 20 quadratic characters above 4294917295
  134. Thu Jan 30 19:33:33 2020 building initial matrix
  135. Thu Jan 30 19:46:20 2020 memory use: 6685.7 MB
  136. Thu Jan 30 19:46:29 2020 read 17723539 cycles
  137. Thu Jan 30 19:46:32 2020 matrix is 17723362 x 17723539 (6562.2 MB) with weight 1871050941 (105.57/col)
  138. Thu Jan 30 19:46:32 2020 sparse part has weight 1525278088 (86.06/col)
  139. Thu Jan 30 19:50:46 2020 filtering completed in 2 passes
  140. Thu Jan 30 19:50:51 2020 matrix is 17720571 x 17720748 (6562.0 MB) with weight 1870972180 (105.58/col)
  141. Thu Jan 30 19:50:51 2020 sparse part has weight 1525253439 (86.07/col)
  142. Thu Jan 30 19:51:33 2020 matrix starts at (0, 0)
  143. Thu Jan 30 19:51:35 2020 matrix is 17720571 x 17720748 (6562.0 MB) with weight 1870972180 (105.58/col)
  144. Thu Jan 30 19:51:35 2020 sparse part has weight 1525253439 (86.07/col)
  145. Thu Jan 30 19:51:35 2020 saving the first 48 matrix rows for later
  146. Thu Jan 30 19:51:38 2020 matrix includes 64 packed rows
  147. Thu Jan 30 19:51:41 2020 matrix is 17720523 x 17720748 (6276.6 MB) with weight 1570273961 (88.61/col)
  148. Thu Jan 30 19:51:41 2020 sparse part has weight 1468171056 (82.85/col)
  149. Thu Jan 30 19:51:41 2020 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
  150. Thu Jan 30 19:52:31 2020 commencing Lanczos iteration (2 threads)
  151. Thu Jan 30 19:52:31 2020 memory use: 6182.1 MB
  152. Thu Jan 30 19:56:47 2020 linear algebra at 0.0%, ETA 792h49m
  153. Thu Jan 30 19:58:16 2020 checkpointing every 30000 dimensions
  154. Wed Feb 19 21:18:51 2020 lanczos halted after 198785 iterations (dim = 12570538)
  155. Wed Feb 19 21:18:52 2020 BLanczosTime: 1735028
  156. Wed Feb 19 21:18:52 2020
  157. Wed Feb 19 21:18:52 2020 commencing square root phase
  158. Wed Feb 19 21:18:52 2020 reading relations for dependency 1
  159. Wed Feb 19 21:18:52 2020 error: read_cycles can't open dependency file
  160. Wed Feb 19 21:19:35 2020
  161. Wed Feb 19 21:19:35 2020
  162. Wed Feb 19 21:19:35 2020 Msieve v. 1.54 (SVN 1030)
  163. Wed Feb 19 21:19:35 2020 random seeds: d925fecd a3ef6259
  164. Wed Feb 19 21:19:35 2020 factoring 1685249655572939297605507706993366912928512269983250389315098810277069606673042013689890084587635684242649433682665032348065373649381714216853655700027850620277288753722475554324588003990317999644531647238136000042631 (217 digits)
  165. Wed Feb 19 21:19:36 2020 no P-1/P+1/ECM available, skipping
  166. Wed Feb 19 21:19:36 2020 commencing number field sieve (217-digit input)
  167. Wed Feb 19 21:19:36 2020 R0: 2787593149816327892691964784081045188247552
  168. Wed Feb 19 21:19:36 2020 R1: -5243338316756303634461458718861951455543
  169. Wed Feb 19 21:19:36 2020 A0: 1
  170. Wed Feb 19 21:19:36 2020 A1: -1
  171. Wed Feb 19 21:19:36 2020 A2: 1
  172. Wed Feb 19 21:19:36 2020 A3: -1
  173. Wed Feb 19 21:19:36 2020 A4: 1
  174. Wed Feb 19 21:19:36 2020 A5: -1
  175. Wed Feb 19 21:19:36 2020 A6: 1
  176. Wed Feb 19 21:19:36 2020 skew 1.00, size 1.451e-12, alpha 2.428, combined = 1.529e-13 rroots = 0
  177. Wed Feb 19 21:19:36 2020
  178. Wed Feb 19 21:19:36 2020 commencing linear algebra
  179. Wed Feb 19 21:19:46 2020 matrix starts at (0, 0)
  180. Wed Feb 19 21:19:48 2020 matrix is 17720571 x 17720748 (6562.0 MB) with weight 1870972180 (105.58/col)
  181. Wed Feb 19 21:19:48 2020 sparse part has weight 1525253439 (86.07/col)
  182. Wed Feb 19 21:19:48 2020 saving the first 48 matrix rows for later
  183. Wed Feb 19 21:19:50 2020 matrix includes 64 packed rows
  184. Wed Feb 19 21:19:53 2020 matrix is 17720523 x 17720748 (6276.6 MB) with weight 1570273961 (88.61/col)
  185. Wed Feb 19 21:19:53 2020 sparse part has weight 1468171056 (82.85/col)
  186. Wed Feb 19 21:19:53 2020 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
  187. Wed Feb 19 21:20:37 2020 commencing Lanczos iteration (6 threads)
  188. Wed Feb 19 21:20:37 2020 memory use: 6182.2 MB
  189. Wed Feb 19 21:20:37 2020 restarting at iteration 198785 (dim = 12570538)
  190. Wed Feb 19 21:22:07 2020 linear algebra at 70.9%, ETA 84h47m
  191. Wed Feb 19 21:22:07 2020 checkpointing every 70000 dimensions
  192. Sun Feb 23 08:25:31 2020 lanczos halted after 280228 iterations (dim = 17720521)
  193. Sun Feb 23 08:25:46 2020 recovered 38 nontrivial dependencies
  194. Sun Feb 23 08:25:46 2020 BLanczosTime: 299170
  195. Sun Feb 23 08:25:46 2020 elapsed time 83:06:11
  196. Sun Feb 23 10:39:55 2020
  197. Sun Feb 23 10:39:55 2020
  198. Sun Feb 23 10:39:55 2020 Msieve v. 1.54 (SVN 1030)
  199. Sun Feb 23 10:39:55 2020 random seeds: bfbf447b 41c17e77
  200. Sun Feb 23 10:39:55 2020 factoring 1685249655572939297605507706993366912928512269983250389315098810277069606673042013689890084587635684242649433682665032348065373649381714216853655700027850620277288753722475554324588003990317999644531647238136000042631 (217 digits)
  201. Sun Feb 23 10:39:56 2020 no P-1/P+1/ECM available, skipping
  202. Sun Feb 23 10:39:56 2020 commencing number field sieve (217-digit input)
  203. Sun Feb 23 10:39:56 2020 R0: 2787593149816327892691964784081045188247552
  204. Sun Feb 23 10:39:56 2020 R1: -5243338316756303634461458718861951455543
  205. Sun Feb 23 10:39:56 2020 A0: 1
  206. Sun Feb 23 10:39:56 2020 A1: -1
  207. Sun Feb 23 10:39:56 2020 A2: 1
  208. Sun Feb 23 10:39:56 2020 A3: -1
  209. Sun Feb 23 10:39:56 2020 A4: 1
  210. Sun Feb 23 10:39:56 2020 A5: -1
  211. Sun Feb 23 10:39:56 2020 A6: 1
  212. Sun Feb 23 10:39:56 2020 skew 1.00, size 1.451e-12, alpha 2.428, combined = 1.529e-13 rroots = 0
  213. Sun Feb 23 10:39:56 2020
  214. Sun Feb 23 10:39:56 2020 commencing square root phase
  215. Sun Feb 23 10:39:56 2020 reading relations for dependency 1
  216. Sun Feb 23 10:39:57 2020 read 8861891 cycles
  217. Sun Feb 23 10:40:12 2020 cycles contain 27311622 unique relations
  218. Sun Feb 23 10:42:19 2020 read 27311622 relations
  219. Sun Feb 23 10:44:55 2020 multiplying 27311622 relations
  220. Sun Feb 23 11:04:42 2020 multiply complete, coefficients have about 691.20 million bits
  221. Sun Feb 23 11:04:48 2020 initial square root is modulo 1589089
  222. Sun Feb 23 11:26:13 2020 sqrtTime: 2777
  223. Sun Feb 23 11:26:13 2020 p84 factor: 198029609443982332066349953107558304395739224531706600582698453147790636502042279423
  224. Sun Feb 23 11:26:13 2020 p133 factor: 8510089275561868199965565901417034398739766297588622568331952077874225260255659660513037965646453078754183790903303753917720225298297
  225. Sun Feb 23 11:26:13 2020 elapsed time 00:46:18
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