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Msieve log of C163_903872_1944

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May 26th, 2023
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  1. Thu May 25 07:57:27 2023
  2. Thu May 25 07:57:27 2023
  3. Thu May 25 07:57:27 2023 Msieve v. 1.53 (SVN 988)
  4. Thu May 25 07:57:27 2023 random seeds: fd210cb8 2d30fe31
  5. Thu May 25 07:57:27 2023 factoring 1098068880077115977090927578516674194453380103408860626175010405188938269043382634775177665500022936234888191736862846590421149426463934574024405611290534014626373 (163 digits)
  6. Thu May 25 07:57:27 2023 searching for 15-digit factors
  7. Thu May 25 07:57:28 2023 commencing number field sieve (163-digit input)
  8. Thu May 25 07:57:28 2023 R0: -81790274686233946326355913266936
  9. Thu May 25 07:57:28 2023 R1: 2631287206160623
  10. Thu May 25 07:57:28 2023 A0: -9243185506605837522649556642058266594925
  11. Thu May 25 07:57:28 2023 A1: 7214294480646214293049759401305535
  12. Thu May 25 07:57:28 2023 A2: 517057159294171755122526569
  13. Thu May 25 07:57:28 2023 A3: -6720758455163105909
  14. Thu May 25 07:57:28 2023 A4: -104146541278
  15. Thu May 25 07:57:28 2023 A5: 300
  16. Thu May 25 07:57:28 2023 skew 65890494.08, size 9.089e-016, alpha -6.559, combined = 1.079e-012 rroots = 5
  17. Thu May 25 07:57:28 2023
  18. Thu May 25 07:57:28 2023 commencing relation filtering
  19. Thu May 25 07:57:28 2023 setting target matrix density to 130.0
  20. Thu May 25 07:57:28 2023 estimated available RAM is 12041.5 MB
  21. Thu May 25 07:57:28 2023 commencing duplicate removal, pass 1
  22. Thu May 25 08:00:46 2023 error -1 reading relation 16393182
  23. Thu May 25 08:02:24 2023 error -9 reading relation 24573360
  24. Thu May 25 08:02:39 2023 error -9 reading relation 25876687
  25. Thu May 25 08:02:39 2023 error -15 reading relation 25878843
  26. Thu May 25 08:03:50 2023 error -15 reading relation 31801366
  27. Thu May 25 08:06:41 2023 error -1 reading relation 46250554
  28. Thu May 25 08:09:05 2023 error -9 reading relation 58049459
  29. Thu May 25 08:18:58 2023 error -5 reading relation 107512766
  30. Thu May 25 08:18:58 2023 error -9 reading relation 107536301
  31. Thu May 25 08:18:58 2023 error -15 reading relation 107585341
  32. Thu May 25 08:19:05 2023 error -9 reading relation 108106141
  33. Thu May 25 08:19:05 2023 error -15 reading relation 108131308
  34. Thu May 25 08:19:10 2023 error -15 reading relation 108557715
  35. Thu May 25 08:19:11 2023 error -15 reading relation 108612159
  36. Thu May 25 08:19:11 2023 error -15 reading relation 108640342
  37. Thu May 25 08:19:12 2023 error -9 reading relation 108666600
  38. Thu May 25 08:19:12 2023 error -1 reading relation 108726586
  39. Thu May 25 08:19:25 2023 error -1 reading relation 109799742
  40. Thu May 25 08:19:29 2023 error -15 reading relation 110127517
  41. Thu May 25 08:21:12 2023 error -15 reading relation 118571973
  42. Thu May 25 08:21:22 2023 error -15 reading relation 119384408
  43. Thu May 25 08:21:42 2023 error -1 reading relation 121048187
  44. Thu May 25 08:21:57 2023 error -9 reading relation 122242352
  45. Thu May 25 08:22:00 2023 error -9 reading relation 122501398
  46. Thu May 25 08:23:19 2023 error -1 reading relation 129043500
  47. Thu May 25 08:25:28 2023 skipped 9 relations with composite factors
  48. Thu May 25 08:25:28 2023 found 31183029 hash collisions in 139403898 relations
  49. Thu May 25 08:26:04 2023 added 121584 free relations
  50. Thu May 25 08:26:04 2023 commencing duplicate removal, pass 2
  51. Thu May 25 08:28:22 2023 found 33633242 duplicates and 105892240 unique relations
  52. Thu May 25 08:28:22 2023 memory use: 852.8 MB
  53. Thu May 25 08:28:22 2023 reading ideals above 89980928
  54. Thu May 25 08:28:22 2023 commencing singleton removal, initial pass
  55. Thu May 25 08:46:07 2023 memory use: 2756.0 MB
  56. Thu May 25 08:46:07 2023 reading all ideals from disk
  57. Thu May 25 08:46:11 2023 memory use: 1741.5 MB
  58. Thu May 25 08:46:19 2023 commencing in-memory singleton removal
  59. Thu May 25 08:46:27 2023 begin with 105892240 relations and 81988670 unique ideals
  60. Thu May 25 08:47:38 2023 reduce to 73556377 relations and 46747520 ideals in 12 passes
  61. Thu May 25 08:47:38 2023 max relations containing the same ideal: 38
  62. Thu May 25 08:47:47 2023 reading ideals above 720000
  63. Thu May 25 08:47:47 2023 commencing singleton removal, initial pass
  64. Thu May 25 09:03:25 2023 memory use: 1506.0 MB
  65. Thu May 25 09:03:25 2023 reading all ideals from disk
  66. Thu May 25 09:03:31 2023 memory use: 2741.5 MB
  67. Thu May 25 09:03:47 2023 keeping 56787483 ideals with weight <= 200, target excess is 392857
  68. Thu May 25 09:04:03 2023 commencing in-memory singleton removal
  69. Thu May 25 09:04:17 2023 begin with 73556377 relations and 56787483 unique ideals
  70. Thu May 25 09:06:06 2023 reduce to 73538547 relations and 56769651 ideals in 9 passes
  71. Thu May 25 09:06:06 2023 max relations containing the same ideal: 200
  72. Thu May 25 09:07:11 2023 removing 8336191 relations and 6336191 ideals in 2000000 cliques
  73. Thu May 25 09:07:15 2023 commencing in-memory singleton removal
  74. Thu May 25 09:07:27 2023 begin with 65202356 relations and 56769651 unique ideals
  75. Thu May 25 09:08:50 2023 reduce to 64478981 relations and 49686160 ideals in 8 passes
  76. Thu May 25 09:08:50 2023 max relations containing the same ideal: 193
  77. Thu May 25 09:09:46 2023 removing 6602314 relations and 4602314 ideals in 2000000 cliques
  78. Thu May 25 09:09:49 2023 commencing in-memory singleton removal
  79. Thu May 25 09:09:59 2023 begin with 57876667 relations and 49686160 unique ideals
  80. Thu May 25 09:11:03 2023 reduce to 57366583 relations and 44558518 ideals in 7 passes
  81. Thu May 25 09:11:03 2023 max relations containing the same ideal: 182
  82. Thu May 25 09:11:54 2023 removing 6139885 relations and 4139885 ideals in 2000000 cliques
  83. Thu May 25 09:11:57 2023 commencing in-memory singleton removal
  84. Thu May 25 09:12:06 2023 begin with 51226698 relations and 44558518 unique ideals
  85. Thu May 25 09:13:03 2023 reduce to 50763809 relations and 39941118 ideals in 7 passes
  86. Thu May 25 09:13:03 2023 max relations containing the same ideal: 166
  87. Thu May 25 09:13:49 2023 removing 5915791 relations and 3915791 ideals in 2000000 cliques
  88. Thu May 25 09:13:52 2023 commencing in-memory singleton removal
  89. Thu May 25 09:14:00 2023 begin with 44848018 relations and 39941118 unique ideals
  90. Thu May 25 09:14:51 2023 reduce to 44391342 relations and 35553026 ideals in 7 passes
  91. Thu May 25 09:14:51 2023 max relations containing the same ideal: 152
  92. Thu May 25 09:15:32 2023 removing 5779448 relations and 3779448 ideals in 2000000 cliques
  93. Thu May 25 09:15:34 2023 commencing in-memory singleton removal
  94. Thu May 25 09:15:42 2023 begin with 38611894 relations and 35553026 unique ideals
  95. Thu May 25 09:16:24 2023 reduce to 38135391 relations and 31279085 ideals in 7 passes
  96. Thu May 25 09:16:24 2023 max relations containing the same ideal: 138
  97. Thu May 25 09:17:00 2023 removing 5705825 relations and 3705825 ideals in 2000000 cliques
  98. Thu May 25 09:17:03 2023 commencing in-memory singleton removal
  99. Thu May 25 09:17:09 2023 begin with 32429566 relations and 31279085 unique ideals
  100. Thu May 25 09:17:44 2023 reduce to 31912991 relations and 27033463 ideals in 7 passes
  101. Thu May 25 09:17:44 2023 max relations containing the same ideal: 124
  102. Thu May 25 09:18:15 2023 removing 5657774 relations and 3657774 ideals in 2000000 cliques
  103. Thu May 25 09:18:17 2023 commencing in-memory singleton removal
  104. Thu May 25 09:18:22 2023 begin with 26255217 relations and 27033463 unique ideals
  105. Thu May 25 09:18:54 2023 reduce to 25659606 relations and 22749354 ideals in 8 passes
  106. Thu May 25 09:18:54 2023 max relations containing the same ideal: 108
  107. Thu May 25 09:19:19 2023 removing 5635043 relations and 3635043 ideals in 2000000 cliques
  108. Thu May 25 09:19:21 2023 commencing in-memory singleton removal
  109. Thu May 25 09:19:25 2023 begin with 20024563 relations and 22749354 unique ideals
  110. Thu May 25 09:19:49 2023 reduce to 19281407 relations and 18322754 ideals in 8 passes
  111. Thu May 25 09:19:49 2023 max relations containing the same ideal: 87
  112. Thu May 25 09:20:08 2023 removing 1862568 relations and 1359630 ideals in 502938 cliques
  113. Thu May 25 09:20:09 2023 commencing in-memory singleton removal
  114. Thu May 25 09:20:12 2023 begin with 17418839 relations and 18322754 unique ideals
  115. Thu May 25 09:20:28 2023 reduce to 17279342 relations and 16820182 ideals in 6 passes
  116. Thu May 25 09:20:28 2023 max relations containing the same ideal: 81
  117. Thu May 25 09:20:48 2023 relations with 0 large ideals: 1307
  118. Thu May 25 09:20:48 2023 relations with 1 large ideals: 5711
  119. Thu May 25 09:20:48 2023 relations with 2 large ideals: 84478
  120. Thu May 25 09:20:48 2023 relations with 3 large ideals: 545330
  121. Thu May 25 09:20:48 2023 relations with 4 large ideals: 1871126
  122. Thu May 25 09:20:48 2023 relations with 5 large ideals: 3775634
  123. Thu May 25 09:20:48 2023 relations with 6 large ideals: 4759729
  124. Thu May 25 09:20:48 2023 relations with 7+ large ideals: 6236027
  125. Thu May 25 09:20:48 2023 commencing 2-way merge
  126. Thu May 25 09:21:09 2023 reduce to 11523586 relation sets and 11064426 unique ideals
  127. Thu May 25 09:21:09 2023 commencing full merge
  128. Thu May 25 09:29:01 2023 memory use: 1391.5 MB
  129. Thu May 25 09:29:06 2023 found 5061931 cycles, need 5040626
  130. Thu May 25 09:29:06 2023 weight of 5040626 cycles is about 655356799 (130.01/cycle)
  131. Thu May 25 09:29:06 2023 distribution of cycle lengths:
  132. Thu May 25 09:29:06 2023 1 relations: 129345
  133. Thu May 25 09:29:06 2023 2 relations: 243354
  134. Thu May 25 09:29:06 2023 3 relations: 312423
  135. Thu May 25 09:29:06 2023 4 relations: 340665
  136. Thu May 25 09:29:06 2023 5 relations: 369716
  137. Thu May 25 09:29:06 2023 6 relations: 377115
  138. Thu May 25 09:29:06 2023 7 relations: 376185
  139. Thu May 25 09:29:06 2023 8 relations: 366874
  140. Thu May 25 09:29:06 2023 9 relations: 347725
  141. Thu May 25 09:29:06 2023 10+ relations: 2177224
  142. Thu May 25 09:29:06 2023 heaviest cycle: 28 relations
  143. Thu May 25 09:29:12 2023 commencing cycle optimization
  144. Thu May 25 09:29:28 2023 start with 47141275 relations
  145. Thu May 25 09:33:16 2023 pruned 2543305 relations
  146. Thu May 25 09:33:16 2023 memory use: 1200.8 MB
  147. Thu May 25 09:33:16 2023 distribution of cycle lengths:
  148. Thu May 25 09:33:16 2023 1 relations: 129345
  149. Thu May 25 09:33:16 2023 2 relations: 251239
  150. Thu May 25 09:33:16 2023 3 relations: 327849
  151. Thu May 25 09:33:16 2023 4 relations: 358449
  152. Thu May 25 09:33:16 2023 5 relations: 392200
  153. Thu May 25 09:33:16 2023 6 relations: 400477
  154. Thu May 25 09:33:16 2023 7 relations: 401355
  155. Thu May 25 09:33:16 2023 8 relations: 389683
  156. Thu May 25 09:33:16 2023 9 relations: 368557
  157. Thu May 25 09:33:16 2023 10+ relations: 2021472
  158. Thu May 25 09:33:16 2023 heaviest cycle: 28 relations
  159. Thu May 25 09:33:31 2023 RelProcTime: 5763
  160. Thu May 25 09:33:31 2023
  161. Thu May 25 09:33:31 2023 commencing linear algebra
  162. Thu May 25 09:33:32 2023 read 5040626 cycles
  163. Thu May 25 09:33:52 2023 cycles contain 17034278 unique relations
  164. Thu May 25 09:36:39 2023 read 17034278 relations
  165. Thu May 25 09:37:41 2023 using 20 quadratic characters above 4294917295
  166. Thu May 25 09:39:30 2023 building initial matrix
  167. Thu May 25 09:45:56 2023 memory use: 2306.3 MB
  168. Thu May 25 09:46:04 2023 read 5040626 cycles
  169. Thu May 25 09:46:06 2023 matrix is 5040448 x 5040626 (2523.0 MB) with weight 762538267 (151.28/col)
  170. Thu May 25 09:46:06 2023 sparse part has weight 600888854 (119.21/col)
  171. Thu May 25 09:48:02 2023 filtering completed in 2 passes
  172. Thu May 25 09:48:03 2023 matrix is 5040394 x 5040572 (2522.9 MB) with weight 762535438 (151.28/col)
  173. Thu May 25 09:48:03 2023 sparse part has weight 600887911 (119.21/col)
  174. Thu May 25 09:48:29 2023 matrix starts at (0, 0)
  175. Thu May 25 09:48:31 2023 matrix is 5040394 x 5040572 (2522.9 MB) with weight 762535438 (151.28/col)
  176. Thu May 25 09:48:31 2023 sparse part has weight 600887911 (119.21/col)
  177. Thu May 25 09:48:31 2023 saving the first 48 matrix rows for later
  178. Thu May 25 09:48:34 2023 matrix includes 64 packed rows
  179. Thu May 25 09:48:35 2023 matrix is 5040346 x 5040572 (2451.7 MB) with weight 658453251 (130.63/col)
  180. Thu May 25 09:48:35 2023 sparse part has weight 592290937 (117.50/col)
  181. Thu May 25 09:48:35 2023 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  182. Thu May 25 09:49:18 2023 commencing Lanczos iteration (6 threads)
  183. Thu May 25 09:49:18 2023 memory use: 2029.2 MB
  184. Thu May 25 09:49:52 2023 linear algebra at 0.0%, ETA 29h26m
  185. Thu May 25 09:50:02 2023 checkpointing every 180000 dimensions
  186. Fri May 26 14:50:23 2023 lanczos halted after 79704 iterations (dim = 5040344)
  187. Fri May 26 14:50:32 2023 recovered 29 nontrivial dependencies
  188. Fri May 26 14:50:35 2023 BLanczosTime: 105424
  189. Fri May 26 14:50:35 2023
  190. Fri May 26 14:50:35 2023 commencing square root phase
  191. Fri May 26 14:50:35 2023 handling dependencies 1 to 64
  192. Fri May 26 14:50:35 2023 reading relations for dependency 1
  193. Fri May 26 14:50:37 2023 read 2520161 cycles
  194. Fri May 26 14:50:46 2023 cycles contain 8515994 unique relations
  195. Fri May 26 14:52:37 2023 read 8515994 relations
  196. Fri May 26 14:53:49 2023 multiplying 8515994 relations
  197. Fri May 26 15:05:40 2023 multiply complete, coefficients have about 404.04 million bits
  198. Fri May 26 15:05:44 2023 initial square root is modulo 17771993
  199. Fri May 26 15:19:02 2023 sqrtTime: 1707
  200. Fri May 26 15:19:02 2023 p79 factor: 2292456305031068670852048154374882030730974484820917459156574090916096532701503
  201. Fri May 26 15:19:02 2023 p84 factor: 478992283371889316554792686029965145187335864497825104464739591545782956003634663291
  202. Fri May 26 15:19:02 2023 elapsed time 31:21:35
  203.  
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