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Msieve log of 74441_229

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Jun 2nd, 2022
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  1. Wed Jun 01 06:40:21 2022
  2. Wed Jun 01 06:40:21 2022
  3. Wed Jun 01 06:40:21 2022 Msieve v. 1.53 (SVN 988)
  4. Wed Jun 01 06:40:21 2022 random seeds: 79f32ac4 503ead86
  5. Wed Jun 01 06:40:21 2022 factoring 168478057961570960095898336896189374203798114909138066117144033100210029830939353176585883396636122737610694470202330839716155149833116944914723859995246350529 (159 digits)
  6. Wed Jun 01 06:40:21 2022 searching for 15-digit factors
  7. Wed Jun 01 06:40:21 2022 commencing number field sieve (159-digit input)
  8. Wed Jun 01 06:40:21 2022 R0: -4851266826518136623665645567097
  9. Wed Jun 01 06:40:21 2022 R1: 2596355756973773
  10. Wed Jun 01 06:40:21 2022 A0: 50520435350264847218171939930231744880
  11. Wed Jun 01 06:40:21 2022 A1: 49162713281051789945666535814076
  12. Wed Jun 01 06:40:21 2022 A2: 19511259867816594066750370
  13. Wed Jun 01 06:40:21 2022 A3: 1322706128831064626
  14. Wed Jun 01 06:40:21 2022 A4: -947464968255
  15. Wed Jun 01 06:40:21 2022 A5: 62700
  16. Wed Jun 01 06:40:21 2022 skew 5300630.74, size 1.946e-015, alpha -6.050, combined = 1.685e-012 rroots = 1
  17. Wed Jun 01 06:40:21 2022
  18. Wed Jun 01 06:40:21 2022 commencing relation filtering
  19. Wed Jun 01 06:40:21 2022 setting target matrix density to 130.0
  20. Wed Jun 01 06:40:21 2022 estimated available RAM is 16151.1 MB
  21. Wed Jun 01 06:40:21 2022 commencing duplicate removal, pass 1
  22. Wed Jun 01 06:40:45 2022 error -15 reading relation 2841708
  23. Wed Jun 01 06:42:54 2022 error -9 reading relation 18492003
  24. Wed Jun 01 06:49:17 2022 error -9 reading relation 64181894
  25. Wed Jun 01 06:52:34 2022 error -9 reading relation 87412915
  26. Wed Jun 01 06:53:25 2022 error -15 reading relation 93661774
  27. Wed Jun 01 06:53:32 2022 error -9 reading relation 94476052
  28. Wed Jun 01 06:53:41 2022 error -15 reading relation 95505347
  29. Wed Jun 01 06:54:07 2022 error -15 reading relation 98681857
  30. Wed Jun 01 06:54:17 2022 error -15 reading relation 99993394
  31. Wed Jun 01 06:54:17 2022 error -5 reading relation 99995377
  32. Wed Jun 01 06:54:17 2022 error -5 reading relation 100004377
  33. Wed Jun 01 06:54:18 2022 error -15 reading relation 100050029
  34. Wed Jun 01 06:55:12 2022 error -1 reading relation 107157687
  35. Wed Jun 01 06:57:13 2022 error -15 reading relation 122570003
  36. Wed Jun 01 06:57:43 2022 error -5 reading relation 126343688
  37. Wed Jun 01 06:57:43 2022 error -15 reading relation 126380464
  38. Wed Jun 01 06:59:11 2022 skipped 6 relations with composite factors
  39. Wed Jun 01 06:59:11 2022 found 25480304 hash collisions in 137698190 relations
  40. Wed Jun 01 06:59:34 2022 added 122151 free relations
  41. Wed Jun 01 06:59:34 2022 commencing duplicate removal, pass 2
  42. Wed Jun 01 07:00:59 2022 found 23449835 duplicates and 114370506 unique relations
  43. Wed Jun 01 07:00:59 2022 memory use: 660.8 MB
  44. Wed Jun 01 07:00:59 2022 reading ideals above 79888384
  45. Wed Jun 01 07:00:59 2022 commencing singleton removal, initial pass
  46. Wed Jun 01 07:13:11 2022 memory use: 2756.0 MB
  47. Wed Jun 01 07:13:11 2022 reading all ideals from disk
  48. Wed Jun 01 07:13:14 2022 memory use: 1893.3 MB
  49. Wed Jun 01 07:13:20 2022 commencing in-memory singleton removal
  50. Wed Jun 01 07:13:26 2022 begin with 114370506 relations and 84235830 unique ideals
  51. Wed Jun 01 07:14:16 2022 reduce to 83969160 relations and 51399325 ideals in 11 passes
  52. Wed Jun 01 07:14:16 2022 max relations containing the same ideal: 51
  53. Wed Jun 01 07:14:23 2022 reading ideals above 720000
  54. Wed Jun 01 07:14:23 2022 commencing singleton removal, initial pass
  55. Wed Jun 01 07:26:31 2022 memory use: 1506.0 MB
  56. Wed Jun 01 07:26:31 2022 reading all ideals from disk
  57. Wed Jun 01 07:26:37 2022 memory use: 3112.3 MB
  58. Wed Jun 01 07:26:50 2022 keeping 60285186 ideals with weight <= 200, target excess is 443804
  59. Wed Jun 01 07:27:02 2022 commencing in-memory singleton removal
  60. Wed Jun 01 07:27:13 2022 begin with 83969161 relations and 60285186 unique ideals
  61. Wed Jun 01 07:28:08 2022 reduce to 83965726 relations and 60281749 ideals in 6 passes
  62. Wed Jun 01 07:28:08 2022 max relations containing the same ideal: 200
  63. Wed Jun 01 07:28:57 2022 removing 7718070 relations and 5718070 ideals in 2000000 cliques
  64. Wed Jun 01 07:29:00 2022 commencing in-memory singleton removal
  65. Wed Jun 01 07:29:12 2022 begin with 76247656 relations and 60281749 unique ideals
  66. Wed Jun 01 07:30:22 2022 reduce to 75685008 relations and 53984649 ideals in 7 passes
  67. Wed Jun 01 07:30:22 2022 max relations containing the same ideal: 196
  68. Wed Jun 01 07:31:11 2022 removing 6152970 relations and 4152970 ideals in 2000000 cliques
  69. Wed Jun 01 07:31:13 2022 commencing in-memory singleton removal
  70. Wed Jun 01 07:31:22 2022 begin with 69532038 relations and 53984649 unique ideals
  71. Wed Jun 01 07:32:15 2022 reduce to 69150612 relations and 49440380 ideals in 7 passes
  72. Wed Jun 01 07:32:15 2022 max relations containing the same ideal: 186
  73. Wed Jun 01 07:32:55 2022 removing 5745761 relations and 3745761 ideals in 2000000 cliques
  74. Wed Jun 01 07:32:58 2022 commencing in-memory singleton removal
  75. Wed Jun 01 07:33:06 2022 begin with 63404851 relations and 49440380 unique ideals
  76. Wed Jun 01 07:33:47 2022 reduce to 63073221 relations and 45354013 ideals in 6 passes
  77. Wed Jun 01 07:33:47 2022 max relations containing the same ideal: 178
  78. Wed Jun 01 07:34:24 2022 removing 5531601 relations and 3531601 ideals in 2000000 cliques
  79. Wed Jun 01 07:34:26 2022 commencing in-memory singleton removal
  80. Wed Jun 01 07:34:33 2022 begin with 57541620 relations and 45354013 unique ideals
  81. Wed Jun 01 07:35:17 2022 reduce to 57229230 relations and 41501104 ideals in 7 passes
  82. Wed Jun 01 07:35:17 2022 max relations containing the same ideal: 167
  83. Wed Jun 01 07:35:50 2022 removing 5397377 relations and 3397377 ideals in 2000000 cliques
  84. Wed Jun 01 07:35:52 2022 commencing in-memory singleton removal
  85. Wed Jun 01 07:35:59 2022 begin with 51831853 relations and 41501104 unique ideals
  86. Wed Jun 01 07:36:31 2022 reduce to 51524026 relations and 37786671 ideals in 6 passes
  87. Wed Jun 01 07:36:31 2022 max relations containing the same ideal: 155
  88. Wed Jun 01 07:36:58 2022 removing 5299663 relations and 3299663 ideals in 2000000 cliques
  89. Wed Jun 01 07:36:59 2022 commencing in-memory singleton removal
  90. Wed Jun 01 07:37:04 2022 begin with 46224363 relations and 37786671 unique ideals
  91. Wed Jun 01 07:37:33 2022 reduce to 45909217 relations and 34161413 ideals in 6 passes
  92. Wed Jun 01 07:37:33 2022 max relations containing the same ideal: 145
  93. Wed Jun 01 07:38:01 2022 removing 5237604 relations and 3237604 ideals in 2000000 cliques
  94. Wed Jun 01 07:38:02 2022 commencing in-memory singleton removal
  95. Wed Jun 01 07:38:07 2022 begin with 40671613 relations and 34161413 unique ideals
  96. Wed Jun 01 07:38:33 2022 reduce to 40342356 relations and 30582688 ideals in 6 passes
  97. Wed Jun 01 07:38:33 2022 max relations containing the same ideal: 130
  98. Wed Jun 01 07:38:56 2022 removing 5195262 relations and 3195262 ideals in 2000000 cliques
  99. Wed Jun 01 07:38:58 2022 commencing in-memory singleton removal
  100. Wed Jun 01 07:39:01 2022 begin with 35147094 relations and 30582688 unique ideals
  101. Wed Jun 01 07:39:25 2022 reduce to 34789309 relations and 27015431 ideals in 7 passes
  102. Wed Jun 01 07:39:25 2022 max relations containing the same ideal: 119
  103. Wed Jun 01 07:39:44 2022 removing 5164659 relations and 3164659 ideals in 2000000 cliques
  104. Wed Jun 01 07:39:45 2022 commencing in-memory singleton removal
  105. Wed Jun 01 07:39:48 2022 begin with 29624650 relations and 27015431 unique ideals
  106. Wed Jun 01 07:40:11 2022 reduce to 29226165 relations and 23433793 ideals in 7 passes
  107. Wed Jun 01 07:40:11 2022 max relations containing the same ideal: 106
  108. Wed Jun 01 07:40:29 2022 removing 5148609 relations and 3148609 ideals in 2000000 cliques
  109. Wed Jun 01 07:40:30 2022 commencing in-memory singleton removal
  110. Wed Jun 01 07:40:33 2022 begin with 24077556 relations and 23433793 unique ideals
  111. Wed Jun 01 07:40:50 2022 reduce to 23616229 relations and 19798878 ideals in 7 passes
  112. Wed Jun 01 07:40:50 2022 max relations containing the same ideal: 94
  113. Wed Jun 01 07:41:04 2022 removing 5138015 relations and 3138015 ideals in 2000000 cliques
  114. Wed Jun 01 07:41:06 2022 commencing in-memory singleton removal
  115. Wed Jun 01 07:41:08 2022 begin with 18478214 relations and 19798878 unique ideals
  116. Wed Jun 01 07:41:21 2022 reduce to 17913032 relations and 16057848 ideals in 7 passes
  117. Wed Jun 01 07:41:21 2022 max relations containing the same ideal: 77
  118. Wed Jun 01 07:41:32 2022 removing 3638472 relations and 2298101 ideals in 1340371 cliques
  119. Wed Jun 01 07:41:33 2022 commencing in-memory singleton removal
  120. Wed Jun 01 07:41:35 2022 begin with 14274560 relations and 16057848 unique ideals
  121. Wed Jun 01 07:41:46 2022 reduce to 13814276 relations and 13269948 ideals in 8 passes
  122. Wed Jun 01 07:41:46 2022 max relations containing the same ideal: 67
  123. Wed Jun 01 07:41:55 2022 removing 157820 relations and 128305 ideals in 29515 cliques
  124. Wed Jun 01 07:41:55 2022 commencing in-memory singleton removal
  125. Wed Jun 01 07:41:57 2022 begin with 13656456 relations and 13269948 unique ideals
  126. Wed Jun 01 07:42:03 2022 reduce to 13654762 relations and 13139944 ideals in 5 passes
  127. Wed Jun 01 07:42:03 2022 max relations containing the same ideal: 67
  128. Wed Jun 01 07:42:05 2022 relations with 0 large ideals: 1457
  129. Wed Jun 01 07:42:05 2022 relations with 1 large ideals: 8535
  130. Wed Jun 01 07:42:05 2022 relations with 2 large ideals: 115869
  131. Wed Jun 01 07:42:05 2022 relations with 3 large ideals: 663181
  132. Wed Jun 01 07:42:05 2022 relations with 4 large ideals: 1971493
  133. Wed Jun 01 07:42:05 2022 relations with 5 large ideals: 3412830
  134. Wed Jun 01 07:42:05 2022 relations with 6 large ideals: 3672600
  135. Wed Jun 01 07:42:05 2022 relations with 7+ large ideals: 3808797
  136. Wed Jun 01 07:42:05 2022 commencing 2-way merge
  137. Wed Jun 01 07:42:17 2022 reduce to 9441911 relation sets and 8927093 unique ideals
  138. Wed Jun 01 07:42:17 2022 commencing full merge
  139. Wed Jun 01 07:46:44 2022 memory use: 1138.2 MB
  140. Wed Jun 01 07:46:47 2022 found 4141635 cycles, need 4119293
  141. Wed Jun 01 07:46:47 2022 weight of 4119293 cycles is about 536230514 (130.18/cycle)
  142. Wed Jun 01 07:46:47 2022 distribution of cycle lengths:
  143. Wed Jun 01 07:46:47 2022 1 relations: 69655
  144. Wed Jun 01 07:46:47 2022 2 relations: 186160
  145. Wed Jun 01 07:46:47 2022 3 relations: 251536
  146. Wed Jun 01 07:46:47 2022 4 relations: 285887
  147. Wed Jun 01 07:46:47 2022 5 relations: 311397
  148. Wed Jun 01 07:46:47 2022 6 relations: 319027
  149. Wed Jun 01 07:46:47 2022 7 relations: 320191
  150. Wed Jun 01 07:46:47 2022 8 relations: 307519
  151. Wed Jun 01 07:46:47 2022 9 relations: 289641
  152. Wed Jun 01 07:46:47 2022 10+ relations: 1778280
  153. Wed Jun 01 07:46:47 2022 heaviest cycle: 28 relations
  154. Wed Jun 01 07:46:50 2022 commencing cycle optimization
  155. Wed Jun 01 07:47:02 2022 start with 38935612 relations
  156. Wed Jun 01 07:49:19 2022 pruned 2299867 relations
  157. Wed Jun 01 07:49:19 2022 memory use: 966.9 MB
  158. Wed Jun 01 07:49:20 2022 distribution of cycle lengths:
  159. Wed Jun 01 07:49:20 2022 1 relations: 69655
  160. Wed Jun 01 07:49:20 2022 2 relations: 192421
  161. Wed Jun 01 07:49:20 2022 3 relations: 264983
  162. Wed Jun 01 07:49:20 2022 4 relations: 302081
  163. Wed Jun 01 07:49:20 2022 5 relations: 333065
  164. Wed Jun 01 07:49:20 2022 6 relations: 341729
  165. Wed Jun 01 07:49:20 2022 7 relations: 343761
  166. Wed Jun 01 07:49:20 2022 8 relations: 329200
  167. Wed Jun 01 07:49:20 2022 9 relations: 307713
  168. Wed Jun 01 07:49:20 2022 10+ relations: 1634685
  169. Wed Jun 01 07:49:20 2022 heaviest cycle: 28 relations
  170. Wed Jun 01 07:49:27 2022 RelProcTime: 4146
  171. Wed Jun 01 07:49:27 2022
  172. Wed Jun 01 07:49:27 2022 commencing linear algebra
  173. Wed Jun 01 07:49:28 2022 read 4119293 cycles
  174. Wed Jun 01 07:49:38 2022 cycles contain 13422805 unique relations
  175. Wed Jun 01 07:51:00 2022 read 13422805 relations
  176. Wed Jun 01 07:51:32 2022 using 20 quadratic characters above 4294917295
  177. Wed Jun 01 07:52:24 2022 building initial matrix
  178. Wed Jun 01 07:55:50 2022 memory use: 1847.1 MB
  179. Wed Jun 01 07:55:55 2022 read 4119293 cycles
  180. Wed Jun 01 07:55:56 2022 matrix is 4119115 x 4119293 (2037.1 MB) with weight 619326651 (150.35/col)
  181. Wed Jun 01 07:55:56 2022 sparse part has weight 488691473 (118.63/col)
  182. Wed Jun 01 07:56:56 2022 filtering completed in 2 passes
  183. Wed Jun 01 07:56:57 2022 matrix is 4119053 x 4119231 (2037.1 MB) with weight 619323367 (150.35/col)
  184. Wed Jun 01 07:56:57 2022 sparse part has weight 488690262 (118.64/col)
  185. Wed Jun 01 07:57:14 2022 matrix starts at (0, 0)
  186. Wed Jun 01 07:57:15 2022 matrix is 4119053 x 4119231 (2037.1 MB) with weight 619323367 (150.35/col)
  187. Wed Jun 01 07:57:15 2022 sparse part has weight 488690262 (118.64/col)
  188. Wed Jun 01 07:57:15 2022 saving the first 48 matrix rows for later
  189. Wed Jun 01 07:57:17 2022 matrix includes 64 packed rows
  190. Wed Jun 01 07:57:18 2022 matrix is 4119005 x 4119231 (1984.9 MB) with weight 531962627 (129.14/col)
  191. Wed Jun 01 07:57:18 2022 sparse part has weight 479140829 (116.32/col)
  192. Wed Jun 01 07:57:18 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  193. Wed Jun 01 07:57:40 2022 commencing Lanczos iteration (6 threads)
  194. Wed Jun 01 07:57:40 2022 memory use: 1646.4 MB
  195. Wed Jun 01 07:58:04 2022 linear algebra at 0.0%, ETA 17h16m
  196. Wed Jun 01 07:58:11 2022 checkpointing every 250000 dimensions
  197. Thu Jun 02 00:57:30 2022 lanczos halted after 65137 iterations (dim = 4119003)
  198. Thu Jun 02 00:57:36 2022 recovered 31 nontrivial dependencies
  199. Thu Jun 02 00:57:37 2022 BLanczosTime: 61690
  200. Thu Jun 02 00:57:37 2022
  201. Thu Jun 02 00:57:38 2022 commencing square root phase
  202. Thu Jun 02 00:57:38 2022 handling dependencies 1 to 64
  203. Thu Jun 02 00:57:38 2022 reading relations for dependency 1
  204. Thu Jun 02 00:57:39 2022 read 2058717 cycles
  205. Thu Jun 02 00:57:44 2022 cycles contain 6708774 unique relations
  206. Thu Jun 02 00:59:05 2022 read 6708774 relations
  207. Thu Jun 02 00:59:48 2022 multiplying 6708774 relations
  208. Thu Jun 02 01:07:23 2022 multiply complete, coefficients have about 348.08 million bits
  209. Thu Jun 02 01:07:26 2022 initial square root is modulo 1760699
  210. Thu Jun 02 01:16:04 2022 GCD is 1, no factor found
  211. Thu Jun 02 01:16:04 2022 reading relations for dependency 2
  212. Thu Jun 02 01:16:06 2022 read 2058404 cycles
  213. Thu Jun 02 01:16:11 2022 cycles contain 6708736 unique relations
  214. Thu Jun 02 01:17:23 2022 read 6708736 relations
  215. Thu Jun 02 01:18:06 2022 multiplying 6708736 relations
  216. Thu Jun 02 01:25:41 2022 multiply complete, coefficients have about 348.08 million bits
  217. Thu Jun 02 01:25:44 2022 initial square root is modulo 1760881
  218. Thu Jun 02 01:34:18 2022 sqrtTime: 2200
  219. Thu Jun 02 01:34:18 2022 p63 factor: 313995275700669197331291543408719159410763843627648676084858793
  220. Thu Jun 02 01:34:18 2022 p96 factor: 536562397589002623237112558491221519973084034450045312759369291829190038696077180645567988766553
  221. Thu Jun 02 01:34:18 2022 elapsed time 18:53:57
  222.  
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