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Oct 19th, 2021
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  1. Mon Sep 27 10:03:54 2021
  2. Mon Sep 27 10:03:54 2021
  3. Mon Sep 27 10:03:54 2021 Msieve v. 1.54 (SVN 1028)
  4. Mon Sep 27 10:03:54 2021 random seeds: 64ff681f 0814d742
  5. Mon Sep 27 10:03:54 2021 factoring 21296049863525055833893135559747320665874666181710679615667797526025638700470028772225624150332138730904590623016098520579761534542726025648746877984937652654956919531810940239159849948794134969413359225820060230477461806335281124654527743980396396948703857 (257 digits)
  6. Mon Sep 27 10:03:56 2021 no P-1/P+1/ECM available, skipping
  7. Mon Sep 27 10:03:56 2021 commencing number field sieve (257-digit input)
  8. Mon Sep 27 10:03:56 2021 R0: 5708990770823839524233143877797980545530986496
  9. Mon Sep 27 10:03:56 2021 R1: -1
  10. Mon Sep 27 10:03:56 2021 A0: -2
  11. Mon Sep 27 10:03:56 2021 A1: 0
  12. Mon Sep 27 10:03:56 2021 A2: 0
  13. Mon Sep 27 10:03:56 2021 A3: 0
  14. Mon Sep 27 10:03:56 2021 A4: 0
  15. Mon Sep 27 10:03:56 2021 A5: 0
  16. Mon Sep 27 10:03:56 2021 A6: 13
  17. Mon Sep 27 10:03:56 2021 skew 0.75, size 1.705e-13, alpha 0.936, combined = 2.984e-14 rroots = 2
  18. Mon Sep 27 10:03:56 2021
  19. Mon Sep 27 10:03:56 2021 commencing relation filtering
  20. Mon Sep 27 10:03:56 2021 setting target matrix density to 122.0
  21. Mon Sep 27 10:03:56 2021 estimated available RAM is 128853.3 MB
  22. Mon Sep 27 10:03:56 2021 commencing duplicate removal, pass 1
  23. Mon Sep 27 10:16:39 2021 error -15 reading relation 87586416
  24. ....
  25. Mon Sep 27 11:10:06 2021 error -11 reading relation 452675505
  26. Mon Sep 27 11:11:18 2021 skipped 5079 relations with b > 2^32
  27. Mon Sep 27 11:11:18 2021 skipped 93 relations with composite factors
  28. Mon Sep 27 11:11:18 2021 found 43106091 hash collisions in 460890621 relations
  29. Mon Sep 27 11:11:35 2021 added 1219221 free relations
  30. Mon Sep 27 11:11:35 2021 commencing duplicate removal, pass 2
  31. Mon Sep 27 11:14:26 2021 found 3 duplicates and 462109839 unique relations
  32. Mon Sep 27 11:14:26 2021 memory use: 2259.0 MB
  33. Mon Sep 27 11:14:26 2021 reading ideals above 720000
  34. Mon Sep 27 11:14:27 2021 commencing singleton removal, initial pass
  35. Mon Sep 27 12:21:15 2021 memory use: 11024.0 MB
  36. Mon Sep 27 12:21:16 2021 reading all ideals from disk
  37. Mon Sep 27 12:21:35 2021 memory use: 19651.3 MB
  38. Mon Sep 27 12:22:56 2021 keeping 448227981 ideals with weight <= 200, target excess is 2385796
  39. Mon Sep 27 12:24:30 2021 commencing in-memory singleton removal
  40. Mon Sep 27 12:25:29 2021 begin with 462109839 relations and 448227981 unique ideals
  41. Mon Sep 27 12:35:31 2021 reduce to 259585094 relations and 222425942 ideals in 17 passes
  42. Mon Sep 27 12:35:31 2021 max relations containing the same ideal: 149
  43. Mon Sep 27 12:38:04 2021 removing 15592075 relations and 13592075 ideals in 2000000 cliques
  44. Mon Sep 27 12:38:11 2021 commencing in-memory singleton removal
  45. Mon Sep 27 12:38:38 2021 begin with 243993019 relations and 222425942 unique ideals
  46. Mon Sep 27 12:42:50 2021 reduce to 243255113 relations and 208088088 ideals in 9 passes
  47. Mon Sep 27 12:42:50 2021 max relations containing the same ideal: 138
  48. Mon Sep 27 12:45:10 2021 removing 11664405 relations and 9664405 ideals in 2000000 cliques
  49. Mon Sep 27 12:45:17 2021 commencing in-memory singleton removal
  50. Mon Sep 27 12:45:42 2021 begin with 231590708 relations and 208088088 unique ideals
  51. Mon Sep 27 12:49:16 2021 reduce to 231130628 relations and 197959455 ideals in 8 passes
  52. Mon Sep 27 12:49:16 2021 max relations containing the same ideal: 135
  53. Mon Sep 27 12:51:28 2021 removing 10436666 relations and 8436666 ideals in 2000000 cliques
  54. Mon Sep 27 12:51:34 2021 commencing in-memory singleton removal
  55. Mon Sep 27 12:51:58 2021 begin with 220693962 relations and 197959455 unique ideals
  56. Mon Sep 27 12:54:53 2021 reduce to 220303193 relations and 189128564 ideals in 7 passes
  57. Mon Sep 27 12:54:53 2021 max relations containing the same ideal: 129
  58. Mon Sep 27 12:56:58 2021 removing 9770310 relations and 7770310 ideals in 2000000 cliques
  59. Mon Sep 27 12:57:04 2021 commencing in-memory singleton removal
  60. Mon Sep 27 12:57:27 2021 begin with 210532883 relations and 189128564 unique ideals
  61. Mon Sep 27 13:00:13 2021 reduce to 210170933 relations and 180993189 ideals in 7 passes
  62. Mon Sep 27 13:00:13 2021 max relations containing the same ideal: 126
  63. Mon Sep 27 13:02:16 2021 removing 9332767 relations and 7332768 ideals in 2000000 cliques
  64. Mon Sep 27 13:02:21 2021 commencing in-memory singleton removal
  65. Mon Sep 27 13:02:43 2021 begin with 200838166 relations and 180993189 unique ideals
  66. Mon Sep 27 13:05:44 2021 reduce to 200491475 relations and 173310621 ideals in 8 passes
  67. Mon Sep 27 13:05:44 2021 max relations containing the same ideal: 122
  68. Mon Sep 27 13:07:41 2021 removing 9032067 relations and 7032067 ideals in 2000000 cliques
  69. Mon Sep 27 13:07:46 2021 commencing in-memory singleton removal
  70. Mon Sep 27 13:08:07 2021 begin with 191459408 relations and 173310621 unique ideals
  71. Mon Sep 27 13:10:59 2021 reduce to 191120658 relations and 165936752 ideals in 8 passes
  72. Mon Sep 27 13:10:59 2021 max relations containing the same ideal: 119
  73. Mon Sep 27 13:12:52 2021 removing 8810205 relations and 6810205 ideals in 2000000 cliques
  74. Mon Sep 27 13:12:56 2021 commencing in-memory singleton removal
  75. Mon Sep 27 13:13:16 2021 begin with 182310453 relations and 165936752 unique ideals
  76. Mon Sep 27 13:16:00 2021 reduce to 181972023 relations and 158784993 ideals in 8 passes
  77. Mon Sep 27 13:16:00 2021 max relations containing the same ideal: 116
  78. Mon Sep 27 13:17:46 2021 removing 8656011 relations and 6656011 ideals in 2000000 cliques
  79. Mon Sep 27 13:17:50 2021 commencing in-memory singleton removal
  80. Mon Sep 27 13:18:09 2021 begin with 173316012 relations and 158784993 unique ideals
  81. Mon Sep 27 13:20:23 2021 reduce to 172975641 relations and 151785248 ideals in 7 passes
  82. Mon Sep 27 13:20:23 2021 max relations containing the same ideal: 115
  83. Mon Sep 27 13:22:04 2021 removing 8537687 relations and 6537687 ideals in 2000000 cliques
  84. Mon Sep 27 13:22:08 2021 commencing in-memory singleton removal
  85. Mon Sep 27 13:22:26 2021 begin with 164437954 relations and 151785248 unique ideals
  86. Mon Sep 27 13:24:51 2021 reduce to 164090108 relations and 144896129 ideals in 8 passes
  87. Mon Sep 27 13:24:51 2021 max relations containing the same ideal: 111
  88. Mon Sep 27 13:26:25 2021 removing 8457170 relations and 6457170 ideals in 2000000 cliques
  89. Mon Sep 27 13:26:29 2021 commencing in-memory singleton removal
  90. Mon Sep 27 13:26:46 2021 begin with 155632938 relations and 144896129 unique ideals
  91. Mon Sep 27 13:29:02 2021 reduce to 155275082 relations and 138077187 ideals in 8 passes
  92. Mon Sep 27 13:29:02 2021 max relations containing the same ideal: 105
  93. Mon Sep 27 13:30:31 2021 removing 8400259 relations and 6400259 ideals in 2000000 cliques
  94. Mon Sep 27 13:30:36 2021 commencing in-memory singleton removal
  95. Mon Sep 27 13:30:51 2021 begin with 146874823 relations and 138077187 unique ideals
  96. Mon Sep 27 13:32:59 2021 reduce to 146503242 relations and 131300994 ideals in 8 passes
  97. Mon Sep 27 13:32:59 2021 max relations containing the same ideal: 102
  98. Mon Sep 27 13:34:23 2021 removing 8374953 relations and 6374953 ideals in 2000000 cliques
  99. Mon Sep 27 13:34:27 2021 commencing in-memory singleton removal
  100. Mon Sep 27 13:34:42 2021 begin with 138128289 relations and 131300994 unique ideals
  101. Mon Sep 27 13:36:42 2021 reduce to 137737863 relations and 124530923 ideals in 8 passes
  102. Mon Sep 27 13:36:42 2021 max relations containing the same ideal: 99
  103. Mon Sep 27 13:38:01 2021 removing 8366527 relations and 6366527 ideals in 2000000 cliques
  104. Mon Sep 27 13:38:04 2021 commencing in-memory singleton removal
  105. Mon Sep 27 13:38:18 2021 begin with 129371336 relations and 124530923 unique ideals
  106. Mon Sep 27 13:39:54 2021 reduce to 128958175 relations and 117746055 ideals in 7 passes
  107. Mon Sep 27 13:39:54 2021 max relations containing the same ideal: 96
  108. Mon Sep 27 13:41:07 2021 removing 8382237 relations and 6382237 ideals in 2000000 cliques
  109. Mon Sep 27 13:41:11 2021 commencing in-memory singleton removal
  110. Mon Sep 27 13:41:23 2021 begin with 120575938 relations and 117746055 unique ideals
  111. Mon Sep 27 13:43:18 2021 reduce to 120134575 relations and 110916658 ideals in 9 passes
  112. Mon Sep 27 13:43:18 2021 max relations containing the same ideal: 88
  113. Mon Sep 27 13:44:27 2021 removing 8412826 relations and 6412826 ideals in 2000000 cliques
  114. Mon Sep 27 13:44:31 2021 commencing in-memory singleton removal
  115. Mon Sep 27 13:44:42 2021 begin with 111721749 relations and 110916658 unique ideals
  116. Mon Sep 27 13:46:16 2021 reduce to 111244514 relations and 104019960 ideals in 8 passes
  117. Mon Sep 27 13:46:16 2021 max relations containing the same ideal: 85
  118. Mon Sep 27 13:47:20 2021 removing 8464075 relations and 6464075 ideals in 2000000 cliques
  119. Mon Sep 27 13:47:24 2021 commencing in-memory singleton removal
  120. Mon Sep 27 13:47:34 2021 begin with 102780439 relations and 104019960 unique ideals
  121. Mon Sep 27 13:49:00 2021 reduce to 102257855 relations and 97025230 ideals in 8 passes
  122. Mon Sep 27 13:49:00 2021 max relations containing the same ideal: 78
  123. Mon Sep 27 13:49:59 2021 removing 8537931 relations and 6537931 ideals in 2000000 cliques
  124. Mon Sep 27 13:50:02 2021 commencing in-memory singleton removal
  125. Mon Sep 27 13:50:12 2021 begin with 93719924 relations and 97025230 unique ideals
  126. Mon Sep 27 13:51:29 2021 reduce to 93141173 relations and 89899010 ideals in 8 passes
  127. Mon Sep 27 13:51:29 2021 max relations containing the same ideal: 74
  128. Mon Sep 27 13:52:23 2021 removing 2698568 relations and 2223929 ideals in 474639 cliques
  129. Mon Sep 27 13:52:25 2021 commencing in-memory singleton removal
  130. Mon Sep 27 13:52:34 2021 begin with 90442605 relations and 89899010 unique ideals
  131. Mon Sep 27 13:53:39 2021 reduce to 90387304 relations and 87619497 ideals in 7 passes
  132. Mon Sep 27 13:53:39 2021 max relations containing the same ideal: 73
  133. Mon Sep 27 13:54:43 2021 relations with 0 large ideals: 91389
  134. Mon Sep 27 13:54:43 2021 relations with 1 large ideals: 61824
  135. Mon Sep 27 13:54:43 2021 relations with 2 large ideals: 769253
  136. Mon Sep 27 13:54:43 2021 relations with 3 large ideals: 4188910
  137. Mon Sep 27 13:54:43 2021 relations with 4 large ideals: 12335340
  138. Mon Sep 27 13:54:43 2021 relations with 5 large ideals: 21687490
  139. Mon Sep 27 13:54:43 2021 relations with 6 large ideals: 23871370
  140. Mon Sep 27 13:54:43 2021 relations with 7+ large ideals: 27381728
  141. Mon Sep 27 13:54:43 2021 commencing 2-way merge
  142. Mon Sep 27 13:55:52 2021 reduce to 56174292 relation sets and 53406485 unique ideals
  143. Mon Sep 27 13:55:52 2021 commencing full merge
  144. Mon Sep 27 14:18:57 2021 memory use: 6815.2 MB
  145. Mon Sep 27 14:19:03 2021 found 25129020 cycles, need 24932685
  146. Mon Sep 27 14:19:13 2021 weight of 24932685 cycles is about 3042101318 (122.01/cycle)
  147. Mon Sep 27 14:19:14 2021 distribution of cycle lengths:
  148. Mon Sep 27 14:19:14 2021 1 relations: 1661407
  149. Mon Sep 27 14:19:14 2021 2 relations: 1752267
  150. Mon Sep 27 14:19:14 2021 3 relations: 1812610
  151. Mon Sep 27 14:19:14 2021 4 relations: 1774122
  152. Mon Sep 27 14:19:14 2021 5 relations: 1759150
  153. Mon Sep 27 14:19:14 2021 6 relations: 1693423
  154. Mon Sep 27 14:19:14 2021 7 relations: 1637839
  155. Mon Sep 27 14:19:14 2021 8 relations: 1553595
  156. Mon Sep 27 14:19:14 2021 9 relations: 1472836
  157. Mon Sep 27 14:19:14 2021 10+ relations: 9815436
  158. Mon Sep 27 14:19:14 2021 heaviest cycle: 28 relations
  159. Mon Sep 27 14:19:20 2021 commencing cycle optimization
  160. Mon Sep 27 14:20:15 2021 start with 216371769 relations
  161. Mon Sep 27 14:28:56 2021 pruned 8663917 relations
  162. Mon Sep 27 14:28:56 2021 memory use: 5917.8 MB
  163. Mon Sep 27 14:28:56 2021 distribution of cycle lengths:
  164. Mon Sep 27 14:28:56 2021 1 relations: 1661407
  165. Mon Sep 27 14:28:56 2021 2 relations: 1792136
  166. Mon Sep 27 14:28:56 2021 3 relations: 1882498
  167. Mon Sep 27 14:28:56 2021 4 relations: 1839560
  168. Mon Sep 27 14:28:56 2021 5 relations: 1834980
  169. Mon Sep 27 14:28:56 2021 6 relations: 1762198
  170. Mon Sep 27 14:28:56 2021 7 relations: 1707114
  171. Mon Sep 27 14:28:56 2021 8 relations: 1615490
  172. Mon Sep 27 14:28:56 2021 9 relations: 1528957
  173. Mon Sep 27 14:28:56 2021 10+ relations: 9308345
  174. Mon Sep 27 14:28:56 2021 heaviest cycle: 28 relations
  175. Mon Sep 27 14:29:55 2021 RelProcTime: 15959
  176. Mon Sep 27 14:29:55 2021 elapsed time 04:26:01
  177. Mon Sep 27 14:48:02 2021
  178. Mon Sep 27 14:48:02 2021
  179. Mon Sep 27 14:48:02 2021 Msieve v. 1.54 (SVN 1028)
  180. Mon Sep 27 14:48:02 2021 random seeds: e6568cc2 25e62715
  181. Mon Sep 27 14:48:02 2021 factoring 21296049863525055833893135559747320665874666181710679615667797526025638700470028772225624150332138730904590623016098520579761534542726025648746877984937652654956919531810940239159849948794134969413359225820060230477461806335281124654527743980396396948703857 (257 digits)
  182. Mon Sep 27 14:48:05 2021 no P-1/P+1/ECM available, skipping
  183. Mon Sep 27 14:48:05 2021 commencing number field sieve (257-digit input)
  184. Mon Sep 27 14:48:05 2021 R0: 5708990770823839524233143877797980545530986496
  185. Mon Sep 27 14:48:05 2021 R1: -1
  186. Mon Sep 27 14:48:05 2021 A0: -2
  187. Mon Sep 27 14:48:05 2021 A1: 0
  188. Mon Sep 27 14:48:05 2021 A2: 0
  189. Mon Sep 27 14:48:05 2021 A3: 0
  190. Mon Sep 27 14:48:05 2021 A4: 0
  191. Mon Sep 27 14:48:05 2021 A5: 0
  192. Mon Sep 27 14:48:05 2021 A6: 13
  193. Mon Sep 27 14:48:05 2021 skew 0.75, size 1.705e-13, alpha 0.936, combined = 2.984e-14 rroots = 2
  194. Mon Sep 27 14:48:05 2021
  195. Mon Sep 27 14:48:05 2021 commencing linear algebra
  196. Mon Sep 27 14:48:10 2021 read 24932685 cycles
  197. Mon Sep 27 14:49:23 2021 cycles contain 88781511 unique relations
  198. Mon Sep 27 14:58:56 2021 read 88781511 relations
  199. Mon Sep 27 15:02:32 2021 using 20 quadratic characters above 4294917295
  200. Mon Sep 27 15:09:24 2021 building initial matrix
  201. Mon Sep 27 15:31:36 2021 memory use: 11432.4 MB
  202. Mon Sep 27 15:31:53 2021 read 24932685 cycles
  203. Mon Sep 27 15:31:57 2021 matrix is 24932506 x 24932685 (11939.0 MB) with weight 3425745497 (137.40/col)
  204. Mon Sep 27 15:31:57 2021 sparse part has weight 2855484377 (114.53/col)
  205. Mon Sep 27 15:40:14 2021 filtering completed in 2 passes
  206. Mon Sep 27 15:40:20 2021 matrix is 24930654 x 24930832 (11938.9 MB) with weight 3425679095 (137.41/col)
  207. Mon Sep 27 15:40:20 2021 sparse part has weight 2855461302 (114.54/col)
  208. Mon Sep 27 15:41:52 2021 matrix starts at (0, 0)
  209. Mon Sep 27 15:41:57 2021 matrix is 24930654 x 24930832 (11938.9 MB) with weight 3425679095 (137.41/col)
  210. Mon Sep 27 15:41:57 2021 sparse part has weight 2855461302 (114.54/col)
  211. Mon Sep 27 15:41:57 2021 saving the first 112 matrix rows for later
  212. Mon Sep 27 15:42:02 2021 matrix includes 128 packed rows
  213. Mon Sep 27 15:42:10 2021 matrix is 24930542 x 24930832 (11157.9 MB) with weight 2772027389 (111.19/col)
  214. Mon Sep 27 15:42:10 2021 sparse part has weight 2625795258 (105.32/col)
  215. Mon Sep 27 15:42:10 2021 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  216. Mon Sep 27 15:44:14 2021 commencing Lanczos iteration (10 threads)
  217. Mon Sep 27 15:44:14 2021 memory use: 12364.6 MB
  218. Mon Sep 27 15:45:40 2021 linear algebra at 0.0%, ETA 354h53m
  219. Mon Sep 27 15:46:07 2021 checkpointing every 70000 dimensions
  220. Sat Oct 9 15:57:33 2021 lanczos halted after 195944 iterations (dim = 24930540)
  221. Sat Oct 9 15:58:26 2021 recovered 35 nontrivial dependencies
  222. Sat Oct 9 15:58:28 2021 BLanczosTime: 1041023
  223. Sat Oct 9 15:58:28 2021
  224. Sat Oct 9 15:58:28 2021 commencing square root phase
  225. Sat Oct 9 15:58:28 2021 reading relations for dependency 1
  226. Sat Oct 9 15:58:32 2021 read 12464198 cycles
  227. Sat Oct 9 15:59:01 2021 cycles contain 44391240 unique relations
  228. Sat Oct 9 16:04:18 2021 read 44391240 relations
  229. Sat Oct 9 16:08:03 2021 multiplying 44391240 relations
  230. Sat Oct 9 16:50:58 2021 multiply complete, coefficients have about 1322.74 million bits
  231. Sat Oct 9 16:51:03 2021 initial square root is modulo 857953
  232. Sat Oct 9 17:33:20 2021 sqrtTime: 5692
  233. Sat Oct 9 17:33:20 2021 p65 factor: 35661145029746226924532421306109655499551247383914485711346312739
  234. Sat Oct 9 17:33:20 2021 p192 factor: 597177960656094040219052642480071238346711562297214811388268400168085021410003205056497516397100040038760207879532051924860330895528303588652966023034872523850725030536754149883666131443356763
  235. Sat Oct 9 17:33:20 2021 elapsed time 290:45:18
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