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f86_131m1

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Jul 9th, 2020
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  1. Wed Jul 8 02:23:05 2020
  2. Wed Jul 8 02:23:05 2020
  3. Wed Jul 8 02:23:05 2020 Msieve v. 1.53 (SVN 988M)
  4. Wed Jul 8 02:23:05 2020 random seeds: 09d25029 2b5a8470
  5. Wed Jul 8 02:23:05 2020 factoring 206291417462093576497275239580773052795596055350565606087502662805051224044201602337850673455835775692863740037805407606265476824913591751307682500480113600344276700606001 (171 digits)
  6. Wed Jul 8 02:23:05 2020 searching for 15-digit factors
  7. Wed Jul 8 02:23:06 2020 commencing number field sieve (171-digit input)
  8. Wed Jul 8 02:23:06 2020 R0: -1659129166378730128203133792666517
  9. Wed Jul 8 02:23:06 2020 R1: 1742363546744996502291193
  10. Wed Jul 8 02:23:06 2020 A0: -5389519387337140565345516459794841317758000
  11. Wed Jul 8 02:23:06 2020 A1: -143043284702103460455094028784037830
  12. Wed Jul 8 02:23:06 2020 A2: 2239398228891059427583897507
  13. Wed Jul 8 02:23:06 2020 A3: -889691908139885268641
  14. Wed Jul 8 02:23:06 2020 A4: 3496913201934
  15. Wed Jul 8 02:23:06 2020 A5: 95760
  16. Wed Jul 8 02:23:06 2020 skew 41437836.86, size 1.294e-16, alpha -8.708, combined = 3.376e-13 rroots = 3
  17. Wed Jul 8 02:23:06 2020
  18. Wed Jul 8 02:23:06 2020 commencing relation filtering
  19. Wed Jul 8 02:23:06 2020 setting target matrix density to 120.0
  20. Wed Jul 8 02:23:06 2020 estimated available RAM is 32768.0 MB
  21. Wed Jul 8 02:23:06 2020 commencing duplicate removal, pass 1
  22. Wed Jul 8 02:23:42 2020 error -1 reading relation 4769567
  23. Wed Jul 8 02:23:42 2020 error -1 reading relation 4769568
  24. Wed Jul 8 02:24:35 2020 error -1 reading relation 11781105
  25. Wed Jul 8 02:24:35 2020 error -1 reading relation 11781106
  26. Wed Jul 8 02:25:54 2020 error -1 reading relation 22057958
  27. Wed Jul 8 02:25:54 2020 error -1 reading relation 22057959
  28. Wed Jul 8 02:26:22 2020 error -1 reading relation 25674968
  29. Wed Jul 8 02:30:15 2020 error -1 reading relation 56177186
  30. Wed Jul 8 02:30:15 2020 error -1 reading relation 56177187
  31. Wed Jul 8 02:34:46 2020 error -6 reading relation 91962982
  32. Wed Jul 8 02:35:49 2020 error -1 reading relation 100439974
  33. Wed Jul 8 02:35:49 2020 error -1 reading relation 100439975
  34. Wed Jul 8 02:37:14 2020 error -1 reading relation 111742391
  35. Wed Jul 8 02:37:14 2020 error -5 reading relation 111742392
  36. Wed Jul 8 02:38:01 2020 error -1 reading relation 117912853
  37. Wed Jul 8 02:38:05 2020 error -1 reading relation 118435545
  38. Wed Jul 8 02:40:07 2020 error -1 reading relation 134345592
  39. Wed Jul 8 02:45:54 2020 error -15 reading relation 179405539
  40. Wed Jul 8 02:47:31 2020 skipped 3 relations with composite factors
  41. Wed Jul 8 02:47:31 2020 found 8097657 hash collisions in 192031249 relations
  42. Wed Jul 8 02:47:57 2020 added 121434 free relations
  43. Wed Jul 8 02:47:57 2020 commencing duplicate removal, pass 2
  44. Wed Jul 8 02:55:36 2020 found 18 duplicates and 192152665 unique relations
  45. Wed Jul 8 02:55:36 2020 memory use: 522.4 MB
  46. Wed Jul 8 02:55:36 2020 reading ideals above 139919360
  47. Wed Jul 8 02:55:36 2020 commencing singleton removal, initial pass
  48. Wed Jul 8 03:14:35 2020 memory use: 3012.0 MB
  49. Wed Jul 8 03:14:36 2020 reading all ideals from disk
  50. Wed Jul 8 03:15:56 2020 memory use: 3478.4 MB
  51. Wed Jul 8 03:16:04 2020 commencing in-memory singleton removal
  52. Wed Jul 8 03:16:11 2020 begin with 192152665 relations and 161391950 unique ideals
  53. Wed Jul 8 03:17:43 2020 reduce to 127748231 relations and 90727820 ideals in 14 passes
  54. Wed Jul 8 03:17:43 2020 max relations containing the same ideal: 47
  55. Wed Jul 8 03:17:58 2020 reading ideals above 720000
  56. Wed Jul 8 03:17:59 2020 commencing singleton removal, initial pass
  57. Wed Jul 8 03:34:38 2020 memory use: 2756.0 MB
  58. Wed Jul 8 03:34:39 2020 reading all ideals from disk
  59. Wed Jul 8 03:36:34 2020 memory use: 4994.3 MB
  60. Wed Jul 8 03:36:46 2020 keeping 105915257 ideals with weight <= 200, target excess is 628833
  61. Wed Jul 8 03:36:59 2020 commencing in-memory singleton removal
  62. Wed Jul 8 03:37:08 2020 begin with 127748231 relations and 105915257 unique ideals
  63. Wed Jul 8 03:38:34 2020 reduce to 127739914 relations and 105906940 ideals in 8 passes
  64. Wed Jul 8 03:38:34 2020 max relations containing the same ideal: 200
  65. Wed Jul 8 03:39:25 2020 removing 10984362 relations and 8984362 ideals in 2000000 cliques
  66. Wed Jul 8 03:39:29 2020 commencing in-memory singleton removal
  67. Wed Jul 8 03:39:37 2020 begin with 116755552 relations and 105906940 unique ideals
  68. Wed Jul 8 03:40:51 2020 reduce to 115984430 relations and 96135624 ideals in 8 passes
  69. Wed Jul 8 03:40:51 2020 max relations containing the same ideal: 195
  70. Wed Jul 8 03:41:38 2020 removing 8446696 relations and 6446696 ideals in 2000000 cliques
  71. Wed Jul 8 03:41:41 2020 commencing in-memory singleton removal
  72. Wed Jul 8 03:41:49 2020 begin with 107537734 relations and 96135624 unique ideals
  73. Wed Jul 8 03:42:59 2020 reduce to 107014061 relations and 89155935 ideals in 8 passes
  74. Wed Jul 8 03:42:59 2020 max relations containing the same ideal: 190
  75. Wed Jul 8 03:43:46 2020 removing 7708897 relations and 5708897 ideals in 2000000 cliques
  76. Wed Jul 8 03:43:50 2020 commencing in-memory singleton removal
  77. Wed Jul 8 03:43:57 2020 begin with 99305164 relations and 89155935 unique ideals
  78. Wed Jul 8 03:44:54 2020 reduce to 98835963 relations and 82969354 ideals in 7 passes
  79. Wed Jul 8 03:44:54 2020 max relations containing the same ideal: 180
  80. Wed Jul 8 03:45:37 2020 removing 7348237 relations and 5348237 ideals in 2000000 cliques
  81. Wed Jul 8 03:45:40 2020 commencing in-memory singleton removal
  82. Wed Jul 8 03:45:46 2020 begin with 91487726 relations and 82969354 unique ideals
  83. Wed Jul 8 03:46:36 2020 reduce to 91032961 relations and 77157911 ideals in 7 passes
  84. Wed Jul 8 03:46:36 2020 max relations containing the same ideal: 170
  85. Wed Jul 8 03:47:14 2020 removing 7147624 relations and 5147624 ideals in 2000000 cliques
  86. Wed Jul 8 03:47:17 2020 commencing in-memory singleton removal
  87. Wed Jul 8 03:47:22 2020 begin with 83885337 relations and 77157911 unique ideals
  88. Wed Jul 8 03:48:14 2020 reduce to 83423966 relations and 71539737 ideals in 8 passes
  89. Wed Jul 8 03:48:14 2020 max relations containing the same ideal: 161
  90. Wed Jul 8 03:48:50 2020 removing 7034656 relations and 5034656 ideals in 2000000 cliques
  91. Wed Jul 8 03:48:53 2020 commencing in-memory singleton removal
  92. Wed Jul 8 03:48:59 2020 begin with 76389310 relations and 71539737 unique ideals
  93. Wed Jul 8 03:49:46 2020 reduce to 75908531 relations and 66014032 ideals in 8 passes
  94. Wed Jul 8 03:49:46 2020 max relations containing the same ideal: 150
  95. Wed Jul 8 03:50:19 2020 removing 6984080 relations and 4984081 ideals in 2000000 cliques
  96. Wed Jul 8 03:50:22 2020 commencing in-memory singleton removal
  97. Wed Jul 8 03:50:26 2020 begin with 68924451 relations and 66014032 unique ideals
  98. Wed Jul 8 03:51:04 2020 reduce to 68408101 relations and 60501544 ideals in 7 passes
  99. Wed Jul 8 03:51:04 2020 max relations containing the same ideal: 141
  100. Wed Jul 8 03:51:35 2020 removing 6984459 relations and 4984459 ideals in 2000000 cliques
  101. Wed Jul 8 03:51:38 2020 commencing in-memory singleton removal
  102. Wed Jul 8 03:51:42 2020 begin with 61423642 relations and 60501544 unique ideals
  103. Wed Jul 8 03:52:25 2020 reduce to 60853004 relations and 54931865 ideals in 9 passes
  104. Wed Jul 8 03:52:25 2020 max relations containing the same ideal: 131
  105. Wed Jul 8 03:52:52 2020 removing 7027746 relations and 5027746 ideals in 2000000 cliques
  106. Wed Jul 8 03:52:54 2020 commencing in-memory singleton removal
  107. Wed Jul 8 03:52:58 2020 begin with 53825258 relations and 54931865 unique ideals
  108. Wed Jul 8 03:53:32 2020 reduce to 53172120 relations and 49232429 ideals in 8 passes
  109. Wed Jul 8 03:53:32 2020 max relations containing the same ideal: 120
  110. Wed Jul 8 03:53:57 2020 removing 7121761 relations and 5121761 ideals in 2000000 cliques
  111. Wed Jul 8 03:53:59 2020 commencing in-memory singleton removal
  112. Wed Jul 8 03:54:02 2020 begin with 46050359 relations and 49232429 unique ideals
  113. Wed Jul 8 03:54:30 2020 reduce to 45273488 relations and 43308428 ideals in 8 passes
  114. Wed Jul 8 03:54:30 2020 max relations containing the same ideal: 107
  115. Wed Jul 8 03:54:51 2020 removing 4992256 relations and 3756643 ideals in 1235613 cliques
  116. Wed Jul 8 03:54:53 2020 commencing in-memory singleton removal
  117. Wed Jul 8 03:54:56 2020 begin with 40281232 relations and 43308428 unique ideals
  118. Wed Jul 8 03:55:18 2020 reduce to 39848741 relations and 39108846 ideals in 7 passes
  119. Wed Jul 8 03:55:18 2020 max relations containing the same ideal: 103
  120. Wed Jul 8 03:55:37 2020 removing 88416 relations and 77968 ideals in 10448 cliques
  121. Wed Jul 8 03:55:38 2020 commencing in-memory singleton removal
  122. Wed Jul 8 03:55:41 2020 begin with 39760325 relations and 39108846 unique ideals
  123. Wed Jul 8 03:55:52 2020 reduce to 39760234 relations and 39030787 ideals in 4 passes
  124. Wed Jul 8 03:55:52 2020 max relations containing the same ideal: 103
  125. Wed Jul 8 03:55:58 2020 relations with 0 large ideals: 2198
  126. Wed Jul 8 03:55:58 2020 relations with 1 large ideals: 7570
  127. Wed Jul 8 03:55:58 2020 relations with 2 large ideals: 123106
  128. Wed Jul 8 03:55:58 2020 relations with 3 large ideals: 872975
  129. Wed Jul 8 03:55:58 2020 relations with 4 large ideals: 3340212
  130. Wed Jul 8 03:55:58 2020 relations with 5 large ideals: 7607651
  131. Wed Jul 8 03:55:58 2020 relations with 6 large ideals: 10846392
  132. Wed Jul 8 03:55:58 2020 relations with 7+ large ideals: 16960130
  133. Wed Jul 8 03:55:58 2020 commencing 2-way merge
  134. Wed Jul 8 03:56:22 2020 reduce to 25363491 relation sets and 24634044 unique ideals
  135. Wed Jul 8 03:56:22 2020 commencing full merge
  136. Wed Jul 8 04:06:16 2020 memory use: 3031.2 MB
  137. Wed Jul 8 04:06:23 2020 found 11254467 cycles, need 11238244
  138. Wed Jul 8 04:06:24 2020 weight of 11238244 cycles is about 1349280714 (120.06/cycle)
  139. Wed Jul 8 04:06:24 2020 distribution of cycle lengths:
  140. Wed Jul 8 04:06:24 2020 1 relations: 627524
  141. Wed Jul 8 04:06:24 2020 2 relations: 771366
  142. Wed Jul 8 04:06:24 2020 3 relations: 835249
  143. Wed Jul 8 04:06:24 2020 4 relations: 829979
  144. Wed Jul 8 04:06:24 2020 5 relations: 831566
  145. Wed Jul 8 04:06:24 2020 6 relations: 800983
  146. Wed Jul 8 04:06:24 2020 7 relations: 781673
  147. Wed Jul 8 04:06:24 2020 8 relations: 741093
  148. Wed Jul 8 04:06:24 2020 9 relations: 697404
  149. Wed Jul 8 04:06:24 2020 10+ relations: 4321407
  150. Wed Jul 8 04:06:24 2020 heaviest cycle: 28 relations
  151. Wed Jul 8 04:06:30 2020 commencing cycle optimization
  152. Wed Jul 8 04:06:59 2020 start with 97278048 relations
  153. Wed Jul 8 04:11:46 2020 pruned 4250442 relations
  154. Wed Jul 8 04:11:46 2020 memory use: 2638.1 MB
  155. Wed Jul 8 04:11:46 2020 distribution of cycle lengths:
  156. Wed Jul 8 04:11:46 2020 1 relations: 627524
  157. Wed Jul 8 04:11:46 2020 2 relations: 792013
  158. Wed Jul 8 04:11:46 2020 3 relations: 871335
  159. Wed Jul 8 04:11:46 2020 4 relations: 863254
  160. Wed Jul 8 04:11:46 2020 5 relations: 869738
  161. Wed Jul 8 04:11:46 2020 6 relations: 836743
  162. Wed Jul 8 04:11:46 2020 7 relations: 818203
  163. Wed Jul 8 04:11:46 2020 8 relations: 772539
  164. Wed Jul 8 04:11:46 2020 9 relations: 725406
  165. Wed Jul 8 04:11:46 2020 10+ relations: 4061489
  166. Wed Jul 8 04:11:46 2020 heaviest cycle: 28 relations
  167. Wed Jul 8 04:12:28 2020 RelProcTime: 6562
  168. Wed Jul 8 04:12:28 2020
  169. Wed Jul 8 04:12:28 2020 commencing linear algebra
  170. Wed Jul 8 04:12:30 2020 read 11238244 cycles
  171. Wed Jul 8 04:12:57 2020 cycles contain 39300996 unique relations
  172. Wed Jul 8 04:20:35 2020 read 39300996 relations
  173. Wed Jul 8 04:22:06 2020 using 20 quadratic characters above 4294917295
  174. Wed Jul 8 04:24:37 2020 building initial matrix
  175. Wed Jul 8 04:31:52 2020 memory use: 5540.5 MB
  176. Wed Jul 8 04:32:11 2020 read 11238244 cycles
  177. Wed Jul 8 04:32:12 2020 matrix is 11238067 x 11238244 (5299.6 MB) with weight 1626483905 (144.73/col)
  178. Wed Jul 8 04:32:12 2020 sparse part has weight 1254411307 (111.62/col)
  179. Wed Jul 8 04:34:05 2020 filtering completed in 2 passes
  180. Wed Jul 8 04:34:07 2020 matrix is 11237875 x 11238052 (5299.6 MB) with weight 1626475081 (144.73/col)
  181. Wed Jul 8 04:34:07 2020 sparse part has weight 1254409475 (111.62/col)
  182. Wed Jul 8 04:36:38 2020 matrix starts at (0, 0)
  183. Wed Jul 8 04:36:39 2020 matrix is 11237875 x 11238052 (5299.6 MB) with weight 1626475081 (144.73/col)
  184. Wed Jul 8 04:36:39 2020 sparse part has weight 1254409475 (111.62/col)
  185. Wed Jul 8 04:36:39 2020 saving the first 48 matrix rows for later
  186. Wed Jul 8 04:36:40 2020 matrix includes 64 packed rows
  187. Wed Jul 8 04:36:41 2020 matrix is 11237827 x 11238052 (5151.9 MB) with weight 1386582078 (123.38/col)
  188. Wed Jul 8 04:36:41 2020 sparse part has weight 1238170542 (110.18/col)
  189. Wed Jul 8 04:36:41 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  190. Wed Jul 8 04:37:45 2020 commencing Lanczos iteration (16 threads)
  191. Wed Jul 8 04:37:45 2020 memory use: 4311.1 MB
  192. Wed Jul 8 04:37:58 2020 linear algebra at 0.0%, ETA 24h38m
  193. Wed Jul 8 04:38:02 2020 checkpointing every 460000 dimensions
  194. Thu Jul 9 05:35:36 2020 lanczos halted after 177718 iterations (dim = 11237827)
  195. Thu Jul 9 05:35:44 2020 recovered 29 nontrivial dependencies
  196. Thu Jul 9 05:35:48 2020 BLanczosTime: 91400
  197. Thu Jul 9 05:35:48 2020
  198. Thu Jul 9 05:35:48 2020 commencing square root phase
  199. Thu Jul 9 05:35:48 2020 handling dependencies 1 to 64
  200. Thu Jul 9 05:35:48 2020 reading relations for dependency 1
  201. Thu Jul 9 05:35:57 2020 read 5617848 cycles
  202. Thu Jul 9 05:36:09 2020 cycles contain 19649864 unique relations
  203. Thu Jul 9 05:43:56 2020 read 19649864 relations
  204. Thu Jul 9 05:45:17 2020 multiplying 19649864 relations
  205. Thu Jul 9 06:02:58 2020 multiply complete, coefficients have about 1073.73 million bits
  206. Thu Jul 9 06:03:03 2020 initial square root is modulo 65581
  207. Thu Jul 9 06:23:01 2020 sqrtTime: 2833
  208. Thu Jul 9 06:23:01 2020 p72 factor: 612173923922326581657019590247931006698799923871520013322540302361611037
  209. Thu Jul 9 06:23:01 2020 p99 factor: 336981712877185696749015714085776391300089956153809064891954890065261593501016322435606029085191973
  210. Thu Jul 9 06:23:01 2020 elapsed time 27:59:56
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