CarlosPinho

57771_232

Apr 28th, 2021
21
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  1. Tue Apr 27 19:59:40 2021
  2. Tue Apr 27 19:59:40 2021
  3. Tue Apr 27 19:59:40 2021 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Apr 27 19:59:40 2021 random seeds: e547c820 5c5d5c6b
  5. Tue Apr 27 19:59:40 2021 factoring 1948895218515059101686605484076482049026650998676581471188703980706618479658639926036063765198398917175729698572987190185289650436004077296137718863381772601721 (160 digits)
  6. Tue Apr 27 19:59:41 2021 searching for 15-digit factors
  7. Tue Apr 27 19:59:41 2021 commencing number field sieve (160-digit input)
  8. Tue Apr 27 19:59:41 2021 R0: -7125112107043928634692142718094
  9. Tue Apr 27 19:59:41 2021 R1: 2304742825527641
  10. Tue Apr 27 19:59:41 2021 A0: 4820550270892313593189642764266245984173
  11. Tue Apr 27 19:59:41 2021 A1: 2417413425372964907549175370417956
  12. Tue Apr 27 19:59:41 2021 A2: 90277950600245387110343375
  13. Tue Apr 27 19:59:41 2021 A3: -51939975621396170332
  14. Tue Apr 27 19:59:41 2021 A4: 272952379500
  15. Tue Apr 27 19:59:41 2021 A5: 106128
  16. Tue Apr 27 19:59:41 2021 skew 1.00, size 1.580e-015, alpha -7.328, combined = 6.633e-015 rroots = 5
  17. Tue Apr 27 19:59:41 2021
  18. Tue Apr 27 19:59:41 2021 commencing relation filtering
  19. Tue Apr 27 19:59:41 2021 setting target matrix density to 110.0
  20. Tue Apr 27 19:59:41 2021 estimated available RAM is 16335.3 MB
  21. Tue Apr 27 19:59:41 2021 commencing duplicate removal, pass 1
  22. Tue Apr 27 20:00:14 2021 error -9 reading relation 3291418
  23. Tue Apr 27 20:01:17 2021 error -15 reading relation 9800806
  24. Tue Apr 27 20:01:58 2021 error -9 reading relation 13989255
  25. Tue Apr 27 20:06:07 2021 error -9 reading relation 40385186
  26. Tue Apr 27 20:07:08 2021 error -9 reading relation 46979694
  27. Tue Apr 27 20:07:10 2021 error -15 reading relation 47107822
  28. Tue Apr 27 20:07:42 2021 error -15 reading relation 50573809
  29. Tue Apr 27 20:07:43 2021 error -5 reading relation 50707069
  30. Tue Apr 27 20:07:51 2021 error -1 reading relation 51592907
  31. Tue Apr 27 20:07:52 2021 error -9 reading relation 51664916
  32. Tue Apr 27 20:07:55 2021 error -1 reading relation 51962917
  33. Tue Apr 27 20:07:55 2021 error -9 reading relation 51996186
  34. Tue Apr 27 20:07:55 2021 error -15 reading relation 52027507
  35. Tue Apr 27 20:07:56 2021 error -9 reading relation 52093122
  36. Tue Apr 27 20:08:01 2021 error -15 reading relation 52594702
  37. Tue Apr 27 20:08:10 2021 error -15 reading relation 53566642
  38. Tue Apr 27 20:09:28 2021 error -15 reading relation 62022983
  39. Tue Apr 27 20:10:18 2021 error -15 reading relation 67325678
  40. Tue Apr 27 20:11:30 2021 error -9 reading relation 74994659
  41. Tue Apr 27 20:12:00 2021 error -5 reading relation 78272152
  42. Tue Apr 27 20:12:04 2021 error -9 reading relation 78687805
  43. Tue Apr 27 20:12:07 2021 error -5 reading relation 78931721
  44. Tue Apr 27 20:12:52 2021 error -9 reading relation 83760344
  45. Tue Apr 27 20:13:06 2021 error -1 reading relation 85296210
  46. Tue Apr 27 20:13:34 2021 error -15 reading relation 88322727
  47. Tue Apr 27 20:13:56 2021 error -9 reading relation 90602106
  48. Tue Apr 27 20:13:56 2021 error -15 reading relation 90642163
  49. Tue Apr 27 20:13:58 2021 error -1 reading relation 90853630
  50. Tue Apr 27 20:14:30 2021 error -9 reading relation 94242684
  51. Tue Apr 27 20:15:16 2021 error -9 reading relation 99210946
  52. Tue Apr 27 20:15:41 2021 error -9 reading relation 101923841
  53. Tue Apr 27 20:16:00 2021 error -9 reading relation 103973343
  54. Tue Apr 27 20:16:15 2021 error -9 reading relation 105603842
  55. Tue Apr 27 20:16:58 2021 error -9 reading relation 110238667
  56. Tue Apr 27 20:17:30 2021 error -9 reading relation 113585773
  57. Tue Apr 27 20:18:12 2021 skipped 12 relations with composite factors
  58. Tue Apr 27 20:18:12 2021 found 21454143 hash collisions in 118094278 relations
  59. Tue Apr 27 20:18:42 2021 added 121436 free relations
  60. Tue Apr 27 20:18:42 2021 commencing duplicate removal, pass 2
  61. Tue Apr 27 20:21:03 2021 found 20157662 duplicates and 98058052 unique relations
  62. Tue Apr 27 20:21:03 2021 memory use: 660.8 MB
  63. Tue Apr 27 20:21:03 2021 reading ideals above 79364096
  64. Tue Apr 27 20:21:03 2021 commencing singleton removal, initial pass
  65. Tue Apr 27 20:33:25 2021 memory use: 1506.0 MB
  66. Tue Apr 27 20:33:25 2021 reading all ideals from disk
  67. Tue Apr 27 20:33:26 2021 memory use: 1623.7 MB
  68. Tue Apr 27 20:33:29 2021 commencing in-memory singleton removal
  69. Tue Apr 27 20:33:32 2021 begin with 98058052 relations and 80468191 unique ideals
  70. Tue Apr 27 20:34:14 2021 reduce to 62567526 relations and 41251834 ideals in 16 passes
  71. Tue Apr 27 20:34:14 2021 max relations containing the same ideal: 45
  72. Tue Apr 27 20:34:18 2021 reading ideals above 720000
  73. Tue Apr 27 20:34:19 2021 commencing singleton removal, initial pass
  74. Tue Apr 27 20:44:05 2021 memory use: 1378.0 MB
  75. Tue Apr 27 20:44:05 2021 reading all ideals from disk
  76. Tue Apr 27 20:44:06 2021 memory use: 2314.5 MB
  77. Tue Apr 27 20:44:12 2021 keeping 50189372 ideals with weight <= 200, target excess is 328989
  78. Tue Apr 27 20:44:18 2021 commencing in-memory singleton removal
  79. Tue Apr 27 20:44:22 2021 begin with 62567528 relations and 50189372 unique ideals
  80. Tue Apr 27 20:45:02 2021 reduce to 62545986 relations and 50167830 ideals in 8 passes
  81. Tue Apr 27 20:45:02 2021 max relations containing the same ideal: 200
  82. Tue Apr 27 20:45:28 2021 removing 8840217 relations and 6840217 ideals in 2000000 cliques
  83. Tue Apr 27 20:45:30 2021 commencing in-memory singleton removal
  84. Tue Apr 27 20:45:34 2021 begin with 53705769 relations and 50167830 unique ideals
  85. Tue Apr 27 20:46:16 2021 reduce to 52751067 relations and 42335707 ideals in 10 passes
  86. Tue Apr 27 20:46:16 2021 max relations containing the same ideal: 190
  87. Tue Apr 27 20:46:38 2021 removing 6960990 relations and 4960990 ideals in 2000000 cliques
  88. Tue Apr 27 20:46:40 2021 commencing in-memory singleton removal
  89. Tue Apr 27 20:46:44 2021 begin with 45790077 relations and 42335707 unique ideals
  90. Tue Apr 27 20:47:12 2021 reduce to 45102458 relations and 36661670 ideals in 8 passes
  91. Tue Apr 27 20:47:12 2021 max relations containing the same ideal: 171
  92. Tue Apr 27 20:47:31 2021 removing 6453276 relations and 4453276 ideals in 2000000 cliques
  93. Tue Apr 27 20:47:33 2021 commencing in-memory singleton removal
  94. Tue Apr 27 20:47:36 2021 begin with 38649182 relations and 36661670 unique ideals
  95. Tue Apr 27 20:47:56 2021 reduce to 38001122 relations and 31534132 ideals in 7 passes
  96. Tue Apr 27 20:47:56 2021 max relations containing the same ideal: 154
  97. Tue Apr 27 20:48:12 2021 removing 6211943 relations and 4211943 ideals in 2000000 cliques
  98. Tue Apr 27 20:48:14 2021 commencing in-memory singleton removal
  99. Tue Apr 27 20:48:16 2021 begin with 31789179 relations and 31534132 unique ideals
  100. Tue Apr 27 20:48:35 2021 reduce to 31116318 relations and 26617968 ideals in 8 passes
  101. Tue Apr 27 20:48:35 2021 max relations containing the same ideal: 135
  102. Tue Apr 27 20:48:49 2021 removing 6068777 relations and 4068777 ideals in 2000000 cliques
  103. Tue Apr 27 20:48:50 2021 commencing in-memory singleton removal
  104. Tue Apr 27 20:48:52 2021 begin with 25047541 relations and 26617968 unique ideals
  105. Tue Apr 27 20:49:07 2021 reduce to 24293409 relations and 21753308 ideals in 8 passes
  106. Tue Apr 27 20:49:07 2021 max relations containing the same ideal: 118
  107. Tue Apr 27 20:49:17 2021 removing 5976006 relations and 3976006 ideals in 2000000 cliques
  108. Tue Apr 27 20:49:19 2021 commencing in-memory singleton removal
  109. Tue Apr 27 20:49:20 2021 begin with 18317403 relations and 21753308 unique ideals
  110. Tue Apr 27 20:49:32 2021 reduce to 17400666 relations and 16793723 ideals in 10 passes
  111. Tue Apr 27 20:49:32 2021 max relations containing the same ideal: 92
  112. Tue Apr 27 20:49:40 2021 removing 1068020 relations and 842705 ideals in 225315 cliques
  113. Tue Apr 27 20:49:41 2021 commencing in-memory singleton removal
  114. Tue Apr 27 20:49:42 2021 begin with 16332646 relations and 16793723 unique ideals
  115. Tue Apr 27 20:49:48 2021 reduce to 16287719 relations and 15905556 ideals in 6 passes
  116. Tue Apr 27 20:49:48 2021 max relations containing the same ideal: 88
  117. Tue Apr 27 20:49:58 2021 relations with 0 large ideals: 1136
  118. Tue Apr 27 20:49:58 2021 relations with 1 large ideals: 3370
  119. Tue Apr 27 20:49:58 2021 relations with 2 large ideals: 52514
  120. Tue Apr 27 20:49:58 2021 relations with 3 large ideals: 378892
  121. Tue Apr 27 20:49:58 2021 relations with 4 large ideals: 1440157
  122. Tue Apr 27 20:49:58 2021 relations with 5 large ideals: 3223266
  123. Tue Apr 27 20:49:58 2021 relations with 6 large ideals: 4476179
  124. Tue Apr 27 20:49:58 2021 relations with 7+ large ideals: 6712205
  125. Tue Apr 27 20:49:58 2021 commencing 2-way merge
  126. Tue Apr 27 20:50:07 2021 reduce to 10572600 relation sets and 10190437 unique ideals
  127. Tue Apr 27 20:50:07 2021 commencing full merge
  128. Tue Apr 27 20:53:17 2021 memory use: 1314.4 MB
  129. Tue Apr 27 20:53:18 2021 found 4945813 cycles, need 4906637
  130. Tue Apr 27 20:53:19 2021 weight of 4906637 cycles is about 539963614 (110.05/cycle)
  131. Tue Apr 27 20:53:19 2021 distribution of cycle lengths:
  132. Tue Apr 27 20:53:19 2021 1 relations: 196243
  133. Tue Apr 27 20:53:19 2021 2 relations: 319630
  134. Tue Apr 27 20:53:19 2021 3 relations: 386792
  135. Tue Apr 27 20:53:19 2021 4 relations: 402495
  136. Tue Apr 27 20:53:19 2021 5 relations: 418596
  137. Tue Apr 27 20:53:19 2021 6 relations: 410152
  138. Tue Apr 27 20:53:19 2021 7 relations: 397470
  139. Tue Apr 27 20:53:19 2021 8 relations: 368564
  140. Tue Apr 27 20:53:19 2021 9 relations: 338809
  141. Tue Apr 27 20:53:19 2021 10+ relations: 1667886
  142. Tue Apr 27 20:53:19 2021 heaviest cycle: 27 relations
  143. Tue Apr 27 20:53:19 2021 commencing cycle optimization
  144. Tue Apr 27 20:53:26 2021 start with 39612948 relations
  145. Tue Apr 27 20:54:48 2021 pruned 1743051 relations
  146. Tue Apr 27 20:54:48 2021 memory use: 1086.0 MB
  147. Tue Apr 27 20:54:49 2021 distribution of cycle lengths:
  148. Tue Apr 27 20:54:49 2021 1 relations: 196243
  149. Tue Apr 27 20:54:49 2021 2 relations: 328601
  150. Tue Apr 27 20:54:49 2021 3 relations: 404509
  151. Tue Apr 27 20:54:49 2021 4 relations: 420490
  152. Tue Apr 27 20:54:49 2021 5 relations: 440337
  153. Tue Apr 27 20:54:49 2021 6 relations: 431328
  154. Tue Apr 27 20:54:49 2021 7 relations: 417415
  155. Tue Apr 27 20:54:49 2021 8 relations: 383945
  156. Tue Apr 27 20:54:49 2021 9 relations: 350079
  157. Tue Apr 27 20:54:49 2021 10+ relations: 1533690
  158. Tue Apr 27 20:54:49 2021 heaviest cycle: 27 relations
  159. Tue Apr 27 20:54:54 2021 RelProcTime: 3313
  160. Tue Apr 27 20:54:54 2021
  161. Tue Apr 27 20:54:54 2021 commencing linear algebra
  162. Tue Apr 27 20:54:55 2021 read 4906637 cycles
  163. Tue Apr 27 20:55:04 2021 cycles contain 16081401 unique relations
  164. Tue Apr 27 20:58:16 2021 read 16081401 relations
  165. Tue Apr 27 20:58:39 2021 using 20 quadratic characters above 4294917295
  166. Tue Apr 27 20:59:52 2021 building initial matrix
  167. Tue Apr 27 21:03:03 2021 memory use: 2176.9 MB
  168. Tue Apr 27 21:03:07 2021 read 4906637 cycles
  169. Tue Apr 27 21:03:08 2021 matrix is 4906454 x 4906637 (2147.1 MB) with weight 661190945 (134.75/col)
  170. Tue Apr 27 21:03:08 2021 sparse part has weight 503961052 (102.71/col)
  171. Tue Apr 27 21:04:03 2021 filtering completed in 2 passes
  172. Tue Apr 27 21:04:04 2021 matrix is 4906293 x 4906476 (2147.0 MB) with weight 661182496 (134.76/col)
  173. Tue Apr 27 21:04:04 2021 sparse part has weight 503957995 (102.71/col)
  174. Tue Apr 27 21:04:18 2021 matrix starts at (0, 0)
  175. Tue Apr 27 21:04:19 2021 matrix is 4906293 x 4906476 (2147.0 MB) with weight 661182496 (134.76/col)
  176. Tue Apr 27 21:04:19 2021 sparse part has weight 503957995 (102.71/col)
  177. Tue Apr 27 21:04:19 2021 saving the first 112 matrix rows for later
  178. Tue Apr 27 21:04:20 2021 matrix includes 128 packed rows
  179. Tue Apr 27 21:04:22 2021 matrix is 4906181 x 4906476 (1974.0 MB) with weight 500290408 (101.97/col)
  180. Tue Apr 27 21:04:22 2021 sparse part has weight 458581445 (93.46/col)
  181. Tue Apr 27 21:04:22 2021 using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  182. Tue Apr 27 21:04:41 2021 commencing Lanczos iteration (8 threads)
  183. Tue Apr 27 21:04:41 2021 memory use: 2170.8 MB
  184. Tue Apr 27 21:04:59 2021 linear algebra at 0.0%, ETA 15h 7m
  185. Tue Apr 27 21:05:05 2021 checkpointing every 320000 dimensions
  186. Wed Apr 28 11:29:10 2021 lanczos halted after 38561 iterations (dim = 4906177)
  187. Wed Apr 28 11:29:19 2021 recovered 29 nontrivial dependencies
  188. Wed Apr 28 11:29:21 2021 BLanczosTime: 52467
  189. Wed Apr 28 11:29:21 2021
  190. Wed Apr 28 11:29:21 2021 commencing square root phase
  191. Wed Apr 28 11:29:21 2021 handling dependencies 1 to 64
  192. Wed Apr 28 11:29:21 2021 reading relations for dependency 1
  193. Wed Apr 28 11:29:22 2021 read 2454518 cycles
  194. Wed Apr 28 11:29:26 2021 cycles contain 8042238 unique relations
  195. Wed Apr 28 11:32:12 2021 read 8042238 relations
  196. Wed Apr 28 11:32:46 2021 multiplying 8042238 relations
  197. Wed Apr 28 11:42:09 2021 multiply complete, coefficients have about 427.04 million bits
  198. Wed Apr 28 11:42:12 2021 initial square root is modulo 45963221
  199. Wed Apr 28 11:53:22 2021 sqrtTime: 1441
  200. Wed Apr 28 11:53:22 2021 p63 factor: 462291075453520311625397345939680879370025702276511937944289453
  201. Wed Apr 28 11:53:22 2021 p97 factor: 4215731866774929781496909153814973257662035381171426615719249161293116331968814583756302394239357
  202. Wed Apr 28 11:53:22 2021 elapsed time 15:53:42
  203.  
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