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19531_59m1

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Mar 25th, 2020
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  1. Fri Mar 13 10:50:08 2020
  2. Fri Mar 13 10:50:08 2020
  3. Fri Mar 13 10:50:08 2020 Msieve v. 1.52 (SVN unknown)
  4. Fri Mar 13 10:50:08 2020 random seeds: e88e08f4 e98c0344
  5. Fri Mar 13 10:50:08 2020 factoring 287018215008985551660511535628614538194044207507659437134898068193842795789963836763626109269023880558531848923349941210319133222229962467454957044999743408664002003264153104567564975538169594778284972238419193134482747 (219 digits)
  6. Fri Mar 13 10:50:09 2020 no P-1/P+1/ECM available, skipping
  7. Fri Mar 13 10:50:09 2020 commencing number field sieve (219-digit input)
  8. Fri Mar 13 10:50:09 2020 R0: 8076901753252440873102885328904621929075801
  9. Fri Mar 13 10:50:09 2020 R1: -1
  10. Fri Mar 13 10:50:09 2020 A0: -19531
  11. Fri Mar 13 10:50:09 2020 A1: 0
  12. Fri Mar 13 10:50:09 2020 A2: 0
  13. Fri Mar 13 10:50:09 2020 A3: 0
  14. Fri Mar 13 10:50:09 2020 A4: 0
  15. Fri Mar 13 10:50:09 2020 A5: 0
  16. Fri Mar 13 10:50:09 2020 A6: 1
  17. Fri Mar 13 10:50:09 2020 skew 5.19, size 1.297e-012, alpha -1.936, combined = 1.402e-013 rroots = 2
  18. Fri Mar 13 10:50:09 2020
  19. Fri Mar 13 10:50:09 2020 commencing relation filtering
  20. Fri Mar 13 10:50:09 2020 setting target matrix density to 120.0
  21. Fri Mar 13 10:50:09 2020 estimated available RAM is 16316.6 MB
  22. Fri Mar 13 10:50:09 2020 commencing duplicate removal, pass 1
  23. Fri Mar 13 10:50:26 2020 error -9 reading relation 1747370
  24. Fri Mar 13 10:50:54 2020 error -9 reading relation 4832911
  25. Fri Mar 13 10:50:56 2020 error -9 reading relation 5061678
  26. Fri Mar 13 10:51:22 2020 error -15 reading relation 8001056
  27. Fri Mar 13 10:51:31 2020 error -15 reading relation 8946161
  28. Fri Mar 13 10:51:45 2020 error -9 reading relation 10382484
  29. Fri Mar 13 10:51:48 2020 error -15 reading relation 10749688
  30. Fri Mar 13 11:30:13 2020 error -15 reading relation 260795647
  31. Fri Mar 13 11:30:13 2020 error -9 reading relation 260842148
  32. Fri Mar 13 11:30:13 2020 error -9 reading relation 260844921
  33. Fri Mar 13 11:30:13 2020 error -15 reading relation 260852071
  34. Fri Mar 13 11:30:14 2020 error -9 reading relation 260911218
  35. Fri Mar 13 11:30:14 2020 error -9 reading relation 260914607
  36. Fri Mar 13 11:30:14 2020 error -15 reading relation 260945186
  37. Fri Mar 13 11:30:15 2020 skipped 15 relations with b > 2^32
  38. Fri Mar 13 11:30:15 2020 found 63329590 hash collisions in 261001515 relations
  39. Fri Mar 13 11:30:40 2020 added 1218432 free relations
  40. Fri Mar 13 11:30:40 2020 commencing duplicate removal, pass 2
  41. Fri Mar 13 11:38:04 2020 found 68432227 duplicates and 193787720 unique relations
  42. Fri Mar 13 11:38:04 2020 memory use: 1449.5 MB
  43. Fri Mar 13 11:38:04 2020 reading ideals above 186843136
  44. Fri Mar 13 11:38:04 2020 commencing singleton removal, initial pass
  45. Fri Mar 13 12:11:27 2020 memory use: 3012.0 MB
  46. Fri Mar 13 12:11:27 2020 reading all ideals from disk
  47. Fri Mar 13 12:12:05 2020 memory use: 3420.5 MB
  48. Fri Mar 13 12:12:11 2020 commencing in-memory singleton removal
  49. Fri Mar 13 12:12:17 2020 begin with 193787720 relations and 157123260 unique ideals
  50. Fri Mar 13 12:13:29 2020 reduce to 127936605 relations and 84759176 ideals in 14 passes
  51. Fri Mar 13 12:13:29 2020 max relations containing the same ideal: 31
  52. Fri Mar 13 12:13:37 2020 reading ideals above 720000
  53. Fri Mar 13 12:13:37 2020 commencing singleton removal, initial pass
  54. Fri Mar 13 12:41:23 2020 memory use: 2756.0 MB
  55. Fri Mar 13 12:41:23 2020 reading all ideals from disk
  56. Fri Mar 13 12:42:31 2020 memory use: 5118.6 MB
  57. Fri Mar 13 12:42:46 2020 keeping 104863418 ideals with weight <= 200, target excess is 670377
  58. Fri Mar 13 12:43:02 2020 commencing in-memory singleton removal
  59. Fri Mar 13 12:43:12 2020 begin with 127936605 relations and 104863418 unique ideals
  60. Fri Mar 13 12:45:04 2020 reduce to 127916476 relations and 104843282 ideals in 10 passes
  61. Fri Mar 13 12:45:04 2020 max relations containing the same ideal: 200
  62. Fri Mar 13 12:45:59 2020 removing 10796158 relations and 8796158 ideals in 2000000 cliques
  63. Fri Mar 13 12:46:02 2020 commencing in-memory singleton removal
  64. Fri Mar 13 12:46:12 2020 begin with 117120318 relations and 104843282 unique ideals
  65. Fri Mar 13 12:47:53 2020 reduce to 116492325 relations and 95406807 ideals in 10 passes
  66. Fri Mar 13 12:47:53 2020 max relations containing the same ideal: 196
  67. Fri Mar 13 12:48:45 2020 removing 8192484 relations and 6192484 ideals in 2000000 cliques
  68. Fri Mar 13 12:48:47 2020 commencing in-memory singleton removal
  69. Fri Mar 13 12:48:56 2020 begin with 108299841 relations and 95406807 unique ideals
  70. Fri Mar 13 12:50:10 2020 reduce to 107886051 relations and 88793453 ideals in 8 passes
  71. Fri Mar 13 12:50:10 2020 max relations containing the same ideal: 189
  72. Fri Mar 13 12:50:57 2020 removing 7386435 relations and 5386435 ideals in 2000000 cliques
  73. Fri Mar 13 12:51:00 2020 commencing in-memory singleton removal
  74. Fri Mar 13 12:51:08 2020 begin with 100499616 relations and 88793453 unique ideals
  75. Fri Mar 13 12:52:17 2020 reduce to 100140684 relations and 83041885 ideals in 8 passes
  76. Fri Mar 13 12:52:17 2020 max relations containing the same ideal: 180
  77. Fri Mar 13 12:53:01 2020 removing 6963023 relations and 4963023 ideals in 2000000 cliques
  78. Fri Mar 13 12:53:03 2020 commencing in-memory singleton removal
  79. Fri Mar 13 12:53:11 2020 begin with 93177661 relations and 83041885 unique ideals
  80. Fri Mar 13 12:54:06 2020 reduce to 92842799 relations and 77737847 ideals in 7 passes
  81. Fri Mar 13 12:54:06 2020 max relations containing the same ideal: 174
  82. Fri Mar 13 12:54:47 2020 removing 6690066 relations and 4690066 ideals in 2000000 cliques
  83. Fri Mar 13 12:54:49 2020 commencing in-memory singleton removal
  84. Fri Mar 13 12:54:56 2020 begin with 86152733 relations and 77737847 unique ideals
  85. Fri Mar 13 12:55:47 2020 reduce to 85827908 relations and 72716789 ideals in 7 passes
  86. Fri Mar 13 12:55:47 2020 max relations containing the same ideal: 167
  87. Fri Mar 13 12:56:25 2020 removing 6498936 relations and 4498936 ideals in 2000000 cliques
  88. Fri Mar 13 12:56:27 2020 commencing in-memory singleton removal
  89. Fri Mar 13 12:56:33 2020 begin with 79328972 relations and 72716789 unique ideals
  90. Fri Mar 13 12:57:14 2020 reduce to 79003127 relations and 67885501 ideals in 6 passes
  91. Fri Mar 13 12:57:14 2020 max relations containing the same ideal: 156
  92. Fri Mar 13 12:57:49 2020 removing 6364038 relations and 4364038 ideals in 2000000 cliques
  93. Fri Mar 13 12:57:51 2020 commencing in-memory singleton removal
  94. Fri Mar 13 12:57:56 2020 begin with 72639089 relations and 67885501 unique ideals
  95. Fri Mar 13 12:58:33 2020 reduce to 72305444 relations and 63180502 ideals in 6 passes
  96. Fri Mar 13 12:58:33 2020 max relations containing the same ideal: 146
  97. Fri Mar 13 12:59:05 2020 removing 6264940 relations and 4264940 ideals in 2000000 cliques
  98. Fri Mar 13 12:59:07 2020 commencing in-memory singleton removal
  99. Fri Mar 13 12:59:12 2020 begin with 66040504 relations and 63180502 unique ideals
  100. Fri Mar 13 12:59:50 2020 reduce to 65688600 relations and 58555314 ideals in 7 passes
  101. Fri Mar 13 12:59:50 2020 max relations containing the same ideal: 136
  102. Fri Mar 13 13:00:20 2020 removing 6204916 relations and 4204916 ideals in 2000000 cliques
  103. Fri Mar 13 13:00:22 2020 commencing in-memory singleton removal
  104. Fri Mar 13 13:00:26 2020 begin with 59483684 relations and 58555314 unique ideals
  105. Fri Mar 13 13:01:00 2020 reduce to 59099799 relations and 53956556 ideals in 7 passes
  106. Fri Mar 13 13:01:00 2020 max relations containing the same ideal: 127
  107. Fri Mar 13 13:01:27 2020 removing 6182162 relations and 4182162 ideals in 2000000 cliques
  108. Fri Mar 13 13:01:29 2020 commencing in-memory singleton removal
  109. Fri Mar 13 13:01:33 2020 begin with 52917637 relations and 53956556 unique ideals
  110. Fri Mar 13 13:02:03 2020 reduce to 52482255 relations and 49326536 ideals in 7 passes
  111. Fri Mar 13 13:02:03 2020 max relations containing the same ideal: 117
  112. Fri Mar 13 13:02:27 2020 removing 6211543 relations and 4211543 ideals in 2000000 cliques
  113. Fri Mar 13 13:02:28 2020 commencing in-memory singleton removal
  114. Fri Mar 13 13:02:32 2020 begin with 46270712 relations and 49326536 unique ideals
  115. Fri Mar 13 13:03:02 2020 reduce to 45750204 relations and 44577861 ideals in 8 passes
  116. Fri Mar 13 13:03:02 2020 max relations containing the same ideal: 104
  117. Fri Mar 13 13:03:22 2020 removing 1680200 relations and 1285495 ideals in 394705 cliques
  118. Fri Mar 13 13:03:23 2020 commencing in-memory singleton removal
  119. Fri Mar 13 13:03:27 2020 begin with 44070004 relations and 44577861 unique ideals
  120. Fri Mar 13 13:03:48 2020 reduce to 44026180 relations and 43248198 ideals in 6 passes
  121. Fri Mar 13 13:03:48 2020 max relations containing the same ideal: 102
  122. Fri Mar 13 13:04:14 2020 relations with 0 large ideals: 25735
  123. Fri Mar 13 13:04:14 2020 relations with 1 large ideals: 8275
  124. Fri Mar 13 13:04:14 2020 relations with 2 large ideals: 117724
  125. Fri Mar 13 13:04:14 2020 relations with 3 large ideals: 834448
  126. Fri Mar 13 13:04:14 2020 relations with 4 large ideals: 3244152
  127. Fri Mar 13 13:04:14 2020 relations with 5 large ideals: 7614632
  128. Fri Mar 13 13:04:14 2020 relations with 6 large ideals: 11280243
  129. Fri Mar 13 13:04:14 2020 relations with 7+ large ideals: 20900971
  130. Fri Mar 13 13:04:14 2020 commencing 2-way merge
  131. Fri Mar 13 13:04:41 2020 reduce to 30527025 relation sets and 29749043 unique ideals
  132. Fri Mar 13 13:04:41 2020 commencing full merge
  133. Fri Mar 13 13:17:18 2020 memory use: 3744.0 MB
  134. Fri Mar 13 13:17:22 2020 found 13530838 cycles, need 13481243
  135. Fri Mar 13 13:17:23 2020 weight of 13481243 cycles is about 1618524280 (120.06/cycle)
  136. Fri Mar 13 13:17:23 2020 distribution of cycle lengths:
  137. Fri Mar 13 13:17:23 2020 1 relations: 473156
  138. Fri Mar 13 13:17:23 2020 2 relations: 741873
  139. Fri Mar 13 13:17:23 2020 3 relations: 921875
  140. Fri Mar 13 13:17:23 2020 4 relations: 992235
  141. Fri Mar 13 13:17:23 2020 5 relations: 1048747
  142. Fri Mar 13 13:17:23 2020 6 relations: 1047748
  143. Fri Mar 13 13:17:23 2020 7 relations: 1034756
  144. Fri Mar 13 13:17:23 2020 8 relations: 988083
  145. Fri Mar 13 13:17:23 2020 9 relations: 925842
  146. Fri Mar 13 13:17:23 2020 10+ relations: 5306928
  147. Fri Mar 13 13:17:23 2020 heaviest cycle: 28 relations
  148. Fri Mar 13 13:17:25 2020 commencing cycle optimization
  149. Fri Mar 13 13:17:49 2020 start with 118440997 relations
  150. Fri Mar 13 13:23:40 2020 pruned 5862556 relations
  151. Fri Mar 13 13:23:40 2020 memory use: 3059.2 MB
  152. Fri Mar 13 13:23:40 2020 distribution of cycle lengths:
  153. Fri Mar 13 13:23:40 2020 1 relations: 473156
  154. Fri Mar 13 13:23:40 2020 2 relations: 762388
  155. Fri Mar 13 13:23:40 2020 3 relations: 964522
  156. Fri Mar 13 13:23:40 2020 4 relations: 1039629
  157. Fri Mar 13 13:23:40 2020 5 relations: 1108453
  158. Fri Mar 13 13:23:40 2020 6 relations: 1106456
  159. Fri Mar 13 13:23:40 2020 7 relations: 1096932
  160. Fri Mar 13 13:23:40 2020 8 relations: 1040402
  161. Fri Mar 13 13:23:40 2020 9 relations: 970969
  162. Fri Mar 13 13:23:40 2020 10+ relations: 4918336
  163. Fri Mar 13 13:23:40 2020 heaviest cycle: 28 relations
  164. Fri Mar 13 13:24:18 2020 RelProcTime: 9249
  165. Fri Mar 13 13:24:18 2020
  166. Fri Mar 13 13:24:18 2020 commencing linear algebra
  167. Fri Mar 13 13:24:21 2020 read 13481243 cycles
  168. Fri Mar 13 13:24:48 2020 cycles contain 43674271 unique relations
  169. Fri Mar 13 13:33:02 2020 read 43674271 relations
  170. Fri Mar 13 13:34:26 2020 using 20 quadratic characters above 2147481902
  171. Fri Mar 13 13:37:27 2020 building initial matrix
  172. Fri Mar 13 13:47:40 2020 memory use: 5796.8 MB
  173. Fri Mar 13 13:47:57 2020 read 13481243 cycles
  174. Fri Mar 13 13:48:01 2020 matrix is 13481066 x 13481243 (6292.0 MB) with weight 1853181474 (137.46/col)
  175. Fri Mar 13 13:48:01 2020 sparse part has weight 1501103827 (111.35/col)
  176. Fri Mar 13 13:50:55 2020 filtering completed in 2 passes
  177. Fri Mar 13 13:51:00 2020 matrix is 13480932 x 13481109 (6291.9 MB) with weight 1853176485 (137.46/col)
  178. Fri Mar 13 13:51:00 2020 sparse part has weight 1501102370 (111.35/col)
  179. Fri Mar 13 13:52:59 2020 matrix starts at (0, 0)
  180. Fri Mar 13 13:53:03 2020 matrix is 13480932 x 13481109 (6291.9 MB) with weight 1853176485 (137.46/col)
  181. Fri Mar 13 13:53:03 2020 sparse part has weight 1501102370 (111.35/col)
  182. Fri Mar 13 13:53:03 2020 saving the first 48 matrix rows for later
  183. Fri Mar 13 13:53:07 2020 matrix includes 64 packed rows
  184. Fri Mar 13 13:53:10 2020 matrix is 13480884 x 13481109 (6064.0 MB) with weight 1580360352 (117.23/col)
  185. Fri Mar 13 13:53:10 2020 sparse part has weight 1454842718 (107.92/col)
  186. Fri Mar 13 13:53:10 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  187. Fri Mar 13 13:54:31 2020 commencing Lanczos iteration (8 threads)
  188. Fri Mar 13 13:54:31 2020 memory use: 5160.7 MB
  189. Fri Mar 13 13:56:26 2020 linear algebra at 0.0%, ETA 271h51m
  190. Fri Mar 13 13:57:03 2020 checkpointing every 50000 dimensions
  191. Tue Mar 24 22:32:28 2020 lanczos halted after 213183 iterations (dim = 13480881)
  192. Tue Mar 24 22:33:03 2020 recovered 34 nontrivial dependencies
  193. Tue Mar 24 22:33:20 2020 BLanczosTime: 983342
  194. Tue Mar 24 22:33:20 2020
  195. Tue Mar 24 22:33:20 2020 commencing square root phase
  196. Tue Mar 24 22:33:20 2020 handling dependencies 1 to 64
  197. Tue Mar 24 22:33:20 2020 reading relations for dependency 1
  198. Tue Mar 24 22:33:23 2020 read 6741568 cycles
  199. Tue Mar 24 22:33:36 2020 cycles contain 21839104 unique relations
  200. Tue Mar 24 22:40:44 2020 read 21839104 relations
  201. Tue Mar 24 22:42:48 2020 multiplying 21839104 relations
  202. Tue Mar 24 23:03:16 2020 multiply complete, coefficients have about 579.02 million bits
  203. Tue Mar 24 23:03:22 2020 initial square root is modulo 156577
  204. Tue Mar 24 23:27:03 2020 GCD is N, no factor found
  205. Tue Mar 24 23:27:03 2020 reading relations for dependency 2
  206. Tue Mar 24 23:27:14 2020 read 6740964 cycles
  207. Tue Mar 24 23:27:27 2020 cycles contain 21843214 unique relations
  208. Tue Mar 24 23:34:33 2020 read 21843214 relations
  209. Tue Mar 24 23:36:36 2020 multiplying 21843214 relations
  210. Tue Mar 24 23:57:03 2020 multiply complete, coefficients have about 579.12 million bits
  211. Tue Mar 24 23:57:10 2020 initial square root is modulo 156913
  212. Wed Mar 25 00:20:28 2020 GCD is N, no factor found
  213. Wed Mar 25 00:20:28 2020 reading relations for dependency 3
  214. Wed Mar 25 00:20:31 2020 read 6740559 cycles
  215. Wed Mar 25 00:20:45 2020 cycles contain 21835698 unique relations
  216. Wed Mar 25 00:27:48 2020 read 21835698 relations
  217. Wed Mar 25 00:29:51 2020 multiplying 21835698 relations
  218. Wed Mar 25 00:50:21 2020 multiply complete, coefficients have about 578.92 million bits
  219. Wed Mar 25 00:50:28 2020 initial square root is modulo 156259
  220. Wed Mar 25 01:14:13 2020 sqrtTime: 9653
  221. Wed Mar 25 01:14:13 2020 prp98 factor: 10871358135820304798195436169059926601415886447283829231918100519149164267811993844836457769182251
  222. Wed Mar 25 01:14:13 2020 prp122 factor: 26401320922662108714437476113753021477709395622989618374991353483818769500353549733601551756084639173503463971095096904497
  223. Wed Mar 25 01:14:13 2020 elapsed time 278:24:05
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