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16381_59m1

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Jan 15th, 2020
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  1. Fri Jan 10 04:33:41 2020
  2. Fri Jan 10 04:33:41 2020
  3. Fri Jan 10 04:33:41 2020 Msieve v. 1.54 (SVN 1025)
  4. Fri Jan 10 04:33:41 2020 random seeds: b62fe30f fa1c0f26
  5. Fri Jan 10 04:33:41 2020 factoring 27025286795897483210946204197384574676332002592326147316682153097568949960386566995880079640745135987911364146006587297236476645432135888288551757369686928310031803020657387544866368484255773367250999512013047345619137371663491042378605760997839 (245 digits)
  6. Fri Jan 10 04:33:42 2020 searching for 15-digit factors
  7. Fri Jan 10 04:33:43 2020 commencing number field sieve (245-digit input)
  8. Fri Jan 10 04:33:43 2020 R0: 1391246559010016577257718796275448541701801
  9. Fri Jan 10 04:33:43 2020 R1: -1
  10. Fri Jan 10 04:33:43 2020 A0: -16381
  11. Fri Jan 10 04:33:43 2020 A1: 0
  12. Fri Jan 10 04:33:43 2020 A2: 0
  13. Fri Jan 10 04:33:43 2020 A3: 0
  14. Fri Jan 10 04:33:43 2020 A4: 0
  15. Fri Jan 10 04:33:43 2020 A5: 0
  16. Fri Jan 10 04:33:43 2020 A6: 1
  17. Fri Jan 10 04:33:43 2020 skew 5.04, size 3.047e-12, alpha -3.093, combined = 2.605e-13 rroots = 2
  18. Fri Jan 10 04:33:43 2020
  19. Fri Jan 10 04:33:43 2020 commencing relation filtering
  20. Fri Jan 10 04:33:43 2020 setting target matrix density to 120.0
  21. Fri Jan 10 04:33:43 2020 estimated available RAM is 16007.4 MB
  22. Fri Jan 10 04:33:43 2020 commencing duplicate removal, pass 1
  23. Fri Jan 10 04:55:10 2020 error -15 reading relation 189138898
  24. Fri Jan 10 04:56:24 2020 error -5 reading relation 200038014
  25. Fri Jan 10 04:57:38 2020 skipped 10 relations with b > 2^32
  26. Fri Jan 10 04:57:38 2020 skipped 1 relations with composite factors
  27. Fri Jan 10 04:57:38 2020 found 9611783 hash collisions in 209814765 relations
  28. Fri Jan 10 04:57:49 2020 commencing duplicate removal, pass 2
  29. Fri Jan 10 04:58:48 2020 found 0 duplicates and 209814765 unique relations
  30. Fri Jan 10 04:58:48 2020 memory use: 522.4 MB
  31. Fri Jan 10 04:58:48 2020 reading ideals above 169934848
  32. Fri Jan 10 04:58:48 2020 commencing singleton removal, initial pass
  33. Fri Jan 10 05:16:44 2020 memory use: 5512.0 MB
  34. Fri Jan 10 05:16:44 2020 reading all ideals from disk
  35. Fri Jan 10 05:16:52 2020 memory use: 3652.0 MB
  36. Fri Jan 10 05:16:59 2020 commencing in-memory singleton removal
  37. Fri Jan 10 05:17:06 2020 begin with 209814765 relations and 164265147 unique ideals
  38. Fri Jan 10 05:18:32 2020 reduce to 150712001 relations and 100183050 ideals in 13 passes
  39. Fri Jan 10 05:18:32 2020 max relations containing the same ideal: 39
  40. Fri Jan 10 05:18:39 2020 reading ideals above 720000
  41. Fri Jan 10 05:18:39 2020 commencing singleton removal, initial pass
  42. Fri Jan 10 05:34:57 2020 memory use: 3012.0 MB
  43. Fri Jan 10 05:34:57 2020 reading all ideals from disk
  44. Fri Jan 10 05:35:14 2020 memory use: 5951.3 MB
  45. Fri Jan 10 05:35:28 2020 keeping 118432141 ideals with weight <= 200, target excess is 745082
  46. Fri Jan 10 05:35:44 2020 commencing in-memory singleton removal
  47. Fri Jan 10 05:35:55 2020 begin with 150712001 relations and 118432141 unique ideals
  48. Fri Jan 10 05:37:12 2020 reduce to 150710658 relations and 118430798 ideals in 6 passes
  49. Fri Jan 10 05:37:12 2020 max relations containing the same ideal: 200
  50. Fri Jan 10 05:38:08 2020 removing 10282502 relations and 8282502 ideals in 2000000 cliques
  51. Fri Jan 10 05:38:12 2020 commencing in-memory singleton removal
  52. Fri Jan 10 05:38:23 2020 begin with 140428156 relations and 118430798 unique ideals
  53. Fri Jan 10 05:39:59 2020 reduce to 139849936 relations and 109559766 ideals in 8 passes
  54. Fri Jan 10 05:39:59 2020 max relations containing the same ideal: 197
  55. Fri Jan 10 05:40:52 2020 removing 7915696 relations and 5915696 ideals in 2000000 cliques
  56. Fri Jan 10 05:40:56 2020 commencing in-memory singleton removal
  57. Fri Jan 10 05:41:05 2020 begin with 131934240 relations and 109559766 unique ideals
  58. Fri Jan 10 05:42:17 2020 reduce to 131547792 relations and 103251657 ideals in 7 passes
  59. Fri Jan 10 05:42:17 2020 max relations containing the same ideal: 191
  60. Fri Jan 10 05:43:03 2020 removing 7213346 relations and 5213346 ideals in 2000000 cliques
  61. Fri Jan 10 05:43:06 2020 commencing in-memory singleton removal
  62. Fri Jan 10 05:43:14 2020 begin with 124334446 relations and 103251657 unique ideals
  63. Fri Jan 10 05:44:22 2020 reduce to 123995699 relations and 97694418 ideals in 7 passes
  64. Fri Jan 10 05:44:22 2020 max relations containing the same ideal: 186
  65. Fri Jan 10 05:45:06 2020 removing 6859004 relations and 4859004 ideals in 2000000 cliques
  66. Fri Jan 10 05:45:09 2020 commencing in-memory singleton removal
  67. Fri Jan 10 05:45:17 2020 begin with 117136695 relations and 97694418 unique ideals
  68. Fri Jan 10 05:46:21 2020 reduce to 116820626 relations and 92514349 ideals in 7 passes
  69. Fri Jan 10 05:46:21 2020 max relations containing the same ideal: 181
  70. Fri Jan 10 05:47:03 2020 removing 6639017 relations and 4639017 ideals in 2000000 cliques
  71. Fri Jan 10 05:47:06 2020 commencing in-memory singleton removal
  72. Fri Jan 10 05:47:13 2020 begin with 110181609 relations and 92514349 unique ideals
  73. Fri Jan 10 05:48:13 2020 reduce to 109875296 relations and 87564031 ideals in 7 passes
  74. Fri Jan 10 05:48:13 2020 max relations containing the same ideal: 174
  75. Fri Jan 10 05:48:52 2020 removing 6495176 relations and 4495176 ideals in 2000000 cliques
  76. Fri Jan 10 05:48:55 2020 commencing in-memory singleton removal
  77. Fri Jan 10 05:49:02 2020 begin with 103380120 relations and 87564031 unique ideals
  78. Fri Jan 10 05:49:57 2020 reduce to 103077108 relations and 82760667 ideals in 7 passes
  79. Fri Jan 10 05:49:57 2020 max relations containing the same ideal: 168
  80. Fri Jan 10 05:50:34 2020 removing 6388461 relations and 4388461 ideals in 2000000 cliques
  81. Fri Jan 10 05:50:37 2020 commencing in-memory singleton removal
  82. Fri Jan 10 05:50:43 2020 begin with 96688647 relations and 82760667 unique ideals
  83. Fri Jan 10 05:51:36 2020 reduce to 96382993 relations and 78061156 ideals in 7 passes
  84. Fri Jan 10 05:51:36 2020 max relations containing the same ideal: 164
  85. Fri Jan 10 05:52:10 2020 removing 6324552 relations and 4324552 ideals in 2000000 cliques
  86. Fri Jan 10 05:52:13 2020 commencing in-memory singleton removal
  87. Fri Jan 10 05:52:19 2020 begin with 90058441 relations and 78061156 unique ideals
  88. Fri Jan 10 05:53:00 2020 reduce to 89743517 relations and 73415875 ideals in 6 passes
  89. Fri Jan 10 05:53:00 2020 max relations containing the same ideal: 155
  90. Fri Jan 10 05:53:33 2020 removing 6280336 relations and 4280336 ideals in 2000000 cliques
  91. Fri Jan 10 05:53:35 2020 commencing in-memory singleton removal
  92. Fri Jan 10 05:53:41 2020 begin with 83463181 relations and 73415875 unique ideals
  93. Fri Jan 10 05:54:19 2020 reduce to 83136157 relations and 68802191 ideals in 6 passes
  94. Fri Jan 10 05:54:19 2020 max relations containing the same ideal: 145
  95. Fri Jan 10 05:54:50 2020 removing 6253381 relations and 4253381 ideals in 2000000 cliques
  96. Fri Jan 10 05:54:52 2020 commencing in-memory singleton removal
  97. Fri Jan 10 05:54:57 2020 begin with 76882776 relations and 68802191 unique ideals
  98. Fri Jan 10 05:55:38 2020 reduce to 76539185 relations and 64197834 ideals in 7 passes
  99. Fri Jan 10 05:55:38 2020 max relations containing the same ideal: 137
  100. Fri Jan 10 05:56:06 2020 removing 6242395 relations and 4242395 ideals in 2000000 cliques
  101. Fri Jan 10 05:56:08 2020 commencing in-memory singleton removal
  102. Fri Jan 10 05:56:13 2020 begin with 70296790 relations and 64197834 unique ideals
  103. Fri Jan 10 05:56:51 2020 reduce to 69928785 relations and 59579099 ideals in 7 passes
  104. Fri Jan 10 05:56:51 2020 max relations containing the same ideal: 129
  105. Fri Jan 10 05:57:16 2020 removing 6248591 relations and 4248591 ideals in 2000000 cliques
  106. Fri Jan 10 05:57:19 2020 commencing in-memory singleton removal
  107. Fri Jan 10 05:57:23 2020 begin with 63680194 relations and 59579099 unique ideals
  108. Fri Jan 10 05:57:56 2020 reduce to 63280681 relations and 54921074 ideals in 7 passes
  109. Fri Jan 10 05:57:56 2020 max relations containing the same ideal: 120
  110. Fri Jan 10 05:58:20 2020 removing 6271972 relations and 4271972 ideals in 2000000 cliques
  111. Fri Jan 10 05:58:21 2020 commencing in-memory singleton removal
  112. Fri Jan 10 05:58:25 2020 begin with 57008709 relations and 54921074 unique ideals
  113. Fri Jan 10 05:58:53 2020 reduce to 56568166 relations and 50196612 ideals in 7 passes
  114. Fri Jan 10 05:58:53 2020 max relations containing the same ideal: 114
  115. Fri Jan 10 05:59:14 2020 removing 6314910 relations and 4314910 ideals in 2000000 cliques
  116. Fri Jan 10 05:59:16 2020 commencing in-memory singleton removal
  117. Fri Jan 10 05:59:19 2020 begin with 50253256 relations and 50196612 unique ideals
  118. Fri Jan 10 05:59:43 2020 reduce to 49755713 relations and 45369006 ideals in 7 passes
  119. Fri Jan 10 05:59:43 2020 max relations containing the same ideal: 103
  120. Fri Jan 10 06:00:02 2020 removing 6372357 relations and 4372357 ideals in 2000000 cliques
  121. Fri Jan 10 06:00:03 2020 commencing in-memory singleton removal
  122. Fri Jan 10 06:00:06 2020 begin with 43383356 relations and 45369006 unique ideals
  123. Fri Jan 10 06:00:31 2020 reduce to 42798642 relations and 40391824 ideals in 8 passes
  124. Fri Jan 10 06:00:31 2020 max relations containing the same ideal: 96
  125. Fri Jan 10 06:00:47 2020 removing 5233823 relations and 3691301 ideals in 1542522 cliques
  126. Fri Jan 10 06:00:49 2020 commencing in-memory singleton removal
  127. Fri Jan 10 06:00:51 2020 begin with 37564819 relations and 40391824 unique ideals
  128. Fri Jan 10 06:01:10 2020 reduce to 37090977 relations and 36211552 ideals in 7 passes
  129. Fri Jan 10 06:01:10 2020 max relations containing the same ideal: 88
  130. Fri Jan 10 06:01:24 2020 removing 106639 relations and 91510 ideals in 15129 cliques
  131. Fri Jan 10 06:01:25 2020 commencing in-memory singleton removal
  132. Fri Jan 10 06:01:27 2020 begin with 36984338 relations and 36211552 unique ideals
  133. Fri Jan 10 06:01:38 2020 reduce to 36984164 relations and 36119868 ideals in 4 passes
  134. Fri Jan 10 06:01:38 2020 max relations containing the same ideal: 88
  135. Fri Jan 10 06:01:44 2020 relations with 0 large ideals: 27848
  136. Fri Jan 10 06:01:44 2020 relations with 1 large ideals: 11559
  137. Fri Jan 10 06:01:44 2020 relations with 2 large ideals: 165442
  138. Fri Jan 10 06:01:44 2020 relations with 3 large ideals: 1063789
  139. Fri Jan 10 06:01:44 2020 relations with 4 large ideals: 3701122
  140. Fri Jan 10 06:01:44 2020 relations with 5 large ideals: 7667491
  141. Fri Jan 10 06:01:44 2020 relations with 6 large ideals: 9916527
  142. Fri Jan 10 06:01:44 2020 relations with 7+ large ideals: 14430386
  143. Fri Jan 10 06:01:44 2020 commencing 2-way merge
  144. Fri Jan 10 06:02:04 2020 reduce to 24656587 relation sets and 23792291 unique ideals
  145. Fri Jan 10 06:02:04 2020 commencing full merge
  146. Fri Jan 10 06:09:34 2020 memory use: 3100.0 MB
  147. Fri Jan 10 06:09:36 2020 found 10956503 cycles, need 10938491
  148. Fri Jan 10 06:09:39 2020 weight of 10938491 cycles is about 1313179204 (120.05/cycle)
  149. Fri Jan 10 06:09:39 2020 distribution of cycle lengths:
  150. Fri Jan 10 06:09:39 2020 1 relations: 448252
  151. Fri Jan 10 06:09:39 2020 2 relations: 636384
  152. Fri Jan 10 06:09:39 2020 3 relations: 750708
  153. Fri Jan 10 06:09:39 2020 4 relations: 779853
  154. Fri Jan 10 06:09:39 2020 5 relations: 799979
  155. Fri Jan 10 06:09:39 2020 6 relations: 795739
  156. Fri Jan 10 06:09:39 2020 7 relations: 786173
  157. Fri Jan 10 06:09:39 2020 8 relations: 749023
  158. Fri Jan 10 06:09:39 2020 9 relations: 706928
  159. Fri Jan 10 06:09:39 2020 10+ relations: 4485452
  160. Fri Jan 10 06:09:39 2020 heaviest cycle: 28 relations
  161. Fri Jan 10 06:09:41 2020 commencing cycle optimization
  162. Fri Jan 10 06:10:00 2020 start with 99083873 relations
  163. Fri Jan 10 06:13:10 2020 pruned 4798397 relations
  164. Fri Jan 10 06:13:10 2020 memory use: 2554.5 MB
  165. Fri Jan 10 06:13:10 2020 distribution of cycle lengths:
  166. Fri Jan 10 06:13:10 2020 1 relations: 448252
  167. Fri Jan 10 06:13:10 2020 2 relations: 652562
  168. Fri Jan 10 06:13:10 2020 3 relations: 783335
  169. Fri Jan 10 06:13:10 2020 4 relations: 813159
  170. Fri Jan 10 06:13:10 2020 5 relations: 842403
  171. Fri Jan 10 06:13:10 2020 6 relations: 836444
  172. Fri Jan 10 06:13:10 2020 7 relations: 830008
  173. Fri Jan 10 06:13:10 2020 8 relations: 786820
  174. Fri Jan 10 06:13:10 2020 9 relations: 742953
  175. Fri Jan 10 06:13:10 2020 10+ relations: 4202555
  176. Fri Jan 10 06:13:10 2020 heaviest cycle: 28 relations
  177. Fri Jan 10 06:13:26 2020 RelProcTime: 5983
  178. Fri Jan 10 06:13:26 2020
  179. Fri Jan 10 06:13:26 2020 commencing linear algebra
  180. Fri Jan 10 06:13:30 2020 read 10938491 cycles
  181. Fri Jan 10 06:13:51 2020 cycles contain 36526436 unique relations
  182. Fri Jan 10 06:16:53 2020 read 36526436 relations
  183. Fri Jan 10 06:17:42 2020 using 20 quadratic characters above 4294917295
  184. Fri Jan 10 06:19:59 2020 building initial matrix
  185. Fri Jan 10 06:26:27 2020 memory use: 4849.2 MB
  186. Fri Jan 10 06:26:32 2020 read 10938491 cycles
  187. Fri Jan 10 06:26:33 2020 matrix is 10938314 x 10938491 (5144.0 MB) with weight 1530993820 (139.96/col)
  188. Fri Jan 10 06:26:33 2020 sparse part has weight 1228144729 (112.28/col)
  189. Fri Jan 10 06:28:38 2020 filtering completed in 2 passes
  190. Fri Jan 10 06:28:40 2020 matrix is 10938196 x 10938373 (5144.0 MB) with weight 1530989268 (139.96/col)
  191. Fri Jan 10 06:28:40 2020 sparse part has weight 1228143533 (112.28/col)
  192. Fri Jan 10 06:29:14 2020 matrix starts at (0, 0)
  193. Fri Jan 10 06:29:16 2020 matrix is 10938196 x 10938373 (5144.0 MB) with weight 1530989268 (139.96/col)
  194. Fri Jan 10 06:29:16 2020 sparse part has weight 1228143533 (112.28/col)
  195. Fri Jan 10 06:29:16 2020 saving the first 48 matrix rows for later
  196. Fri Jan 10 06:29:18 2020 matrix includes 64 packed rows
  197. Fri Jan 10 06:29:19 2020 matrix is 10938148 x 10938373 (4977.0 MB) with weight 1311801088 (119.93/col)
  198. Fri Jan 10 06:29:19 2020 sparse part has weight 1195307569 (109.28/col)
  199. Fri Jan 10 06:29:19 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  200. Fri Jan 10 06:29:50 2020 commencing Lanczos iteration (4 threads)
  201. Fri Jan 10 06:29:50 2020 memory use: 4735.9 MB
  202. Fri Jan 10 06:30:43 2020 linear algebra at 0.0%, ETA 102h 8m
  203. Fri Jan 10 06:31:00 2020 checkpointing every 110000 dimensions
  204. Tue Jan 14 10:44:42 2020 lanczos halted after 172981 iterations (dim = 10938148)
  205. Tue Jan 14 10:45:02 2020 recovered 34 nontrivial dependencies
  206. Tue Jan 14 10:45:02 2020 BLanczosTime: 361896
  207. Tue Jan 14 10:45:02 2020
  208. Tue Jan 14 10:45:02 2020 commencing square root phase
  209. Tue Jan 14 10:45:02 2020 handling dependencies 1 to 64
  210. Tue Jan 14 10:45:02 2020 reading relations for dependency 1
  211. Tue Jan 14 10:45:03 2020 read 5467791 cycles
  212. Tue Jan 14 10:45:11 2020 cycles contain 18256756 unique relations
  213. Tue Jan 14 10:46:52 2020 read 18256756 relations
  214. Tue Jan 14 10:47:58 2020 multiplying 18256756 relations
  215. Tue Jan 14 10:59:06 2020 multiply complete, coefficients have about 476.80 million bits
  216. Tue Jan 14 10:59:08 2020 initial square root is modulo 359236777
  217. Tue Jan 14 11:11:12 2020 sqrtTime: 1570
  218. Tue Jan 14 11:11:12 2020 p55 factor: 1489293249270867838212319430273888762677017003570301369
  219. Tue Jan 14 11:11:12 2020 p191 factor: 18146383735458812569391618750581112362555677900818200504920833266831300851749824716210909023780171792411416738006717112475615866886205166337916968121669267508147159012166116287401720479986631
  220. Tue Jan 14 11:11:12 2020 elapsed time 102:37:31
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