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Mar 10th, 2024
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  1. Sat Mar 9 00:36:14 2024
  2. Sat Mar 9 00:36:14 2024
  3. Sat Mar 9 00:36:14 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Mar 9 00:36:14 2024 random seeds: 5aac9722 750c75d8
  5. Sat Mar 9 00:36:14 2024 Using 16 OpenMP threads
  6. Sat Mar 9 00:36:14 2024 factoring 76979811276468164610130266272758786508065785084781435371088550132216049537683722240066474602992093718817871053532958472868248874763326800398828292059735593532687137461 (167 digits)
  7. Sat Mar 9 00:36:15 2024 searching for 15-digit factors
  8. Sat Mar 9 00:36:15 2024 commencing number field sieve (167-digit input)
  9. Sat Mar 9 00:36:15 2024 R0: -347552977362089665092225826597336
  10. Sat Mar 9 00:36:15 2024 R1: 153563005293493771
  11. Sat Mar 9 00:36:15 2024 A0: 10870393864231111085789377260048907728447
  12. Sat Mar 9 00:36:15 2024 A1: 1123630893709843899810208492457374
  13. Sat Mar 9 00:36:15 2024 A2: -179333719194633287994110991
  14. Sat Mar 9 00:36:15 2024 A3: -35284391994678656576
  15. Sat Mar 9 00:36:15 2024 A4: 312426677222
  16. Sat Mar 9 00:36:15 2024 A5: 15180
  17. Sat Mar 9 00:36:15 2024 skew 22641044.33, size 2.918e-16, alpha -6.007, combined = 5.558e-13 rroots = 3
  18. Sat Mar 9 00:36:15 2024
  19. Sat Mar 9 00:36:15 2024 commencing relation filtering
  20. Sat Mar 9 00:36:15 2024 setting target matrix density to 124.0
  21. Sat Mar 9 00:36:15 2024 estimated available RAM is 515996.3 MB
  22. Sat Mar 9 00:36:15 2024 commencing duplicate removal, pass 1
  23. Sat Mar 9 00:38:49 2024 error -1 reading relation 83995233
  24. Sat Mar 9 00:38:51 2024 error -1 reading relation 84941732
  25. Sat Mar 9 00:39:19 2024 error -1 reading relation 99936588
  26. Sat Mar 9 00:39:47 2024 error -1 reading relation 114450811
  27. Sat Mar 9 00:39:51 2024 error -1 reading relation 116881815
  28. Sat Mar 9 00:40:30 2024 error -1 reading relation 138383779
  29. Sat Mar 9 00:41:01 2024 error -1 reading relation 154158540
  30. Sat Mar 9 00:41:06 2024 error -1 reading relation 156452821
  31. Sat Mar 9 00:41:35 2024 error -1 reading relation 171659589
  32. Sat Mar 9 00:42:19 2024 error -1 reading relation 197721368
  33. Sat Mar 9 00:42:32 2024 error -1 reading relation 204236668
  34. Sat Mar 9 00:43:02 2024 error -1 reading relation 219562263
  35. Sat Mar 9 00:43:03 2024 skipped 124 malformed relations
  36. Sat Mar 9 00:43:03 2024 found 46627247 hash collisions in 220414471 relations
  37. Sat Mar 9 00:43:25 2024 commencing duplicate removal, pass 2
  38. Sat Mar 9 00:48:03 2024 found 46758503 duplicates and 173655968 unique relations
  39. Sat Mar 9 00:48:03 2024 memory use: 1321.5 MB
  40. Sat Mar 9 00:48:03 2024 reading ideals above 720000
  41. Sat Mar 9 00:48:03 2024 commencing singleton removal, initial pass
  42. Sat Mar 9 00:58:13 2024 memory use: 5512.0 MB
  43. Sat Mar 9 00:58:13 2024 reading all ideals from disk
  44. Sat Mar 9 00:58:16 2024 memory use: 7931.7 MB
  45. Sat Mar 9 00:58:32 2024 keeping 183778247 ideals with weight <= 200, target excess is 946016
  46. Sat Mar 9 00:58:52 2024 commencing in-memory singleton removal
  47. Sat Mar 9 00:58:55 2024 begin with 173655968 relations and 183778247 unique ideals
  48. Sat Mar 9 00:59:08 2024 reduce to 66656688 relations and 60479023 ideals in 22 passes
  49. Sat Mar 9 00:59:08 2024 max relations containing the same ideal: 110
  50. Sat Mar 9 00:59:37 2024 removing 8146065 relations and 7146065 ideals in 1000000 cliques
  51. Sat Mar 9 00:59:40 2024 commencing in-memory singleton removal
  52. Sat Mar 9 00:59:42 2024 begin with 58510623 relations and 60479023 unique ideals
  53. Sat Mar 9 00:59:48 2024 reduce to 57754741 relations and 52562059 ideals in 10 passes
  54. Sat Mar 9 00:59:48 2024 max relations containing the same ideal: 102
  55. Sat Mar 9 01:00:11 2024 removing 6075478 relations and 5075478 ideals in 1000000 cliques
  56. Sat Mar 9 01:00:14 2024 commencing in-memory singleton removal
  57. Sat Mar 9 01:00:15 2024 begin with 51679263 relations and 52562059 unique ideals
  58. Sat Mar 9 01:00:20 2024 reduce to 51184321 relations and 46982952 ideals in 9 passes
  59. Sat Mar 9 01:00:20 2024 max relations containing the same ideal: 96
  60. Sat Mar 9 01:00:40 2024 removing 5424557 relations and 4424557 ideals in 1000000 cliques
  61. Sat Mar 9 01:00:43 2024 commencing in-memory singleton removal
  62. Sat Mar 9 01:00:44 2024 begin with 45759764 relations and 46982952 unique ideals
  63. Sat Mar 9 01:00:48 2024 reduce to 45313929 relations and 42104365 ideals in 10 passes
  64. Sat Mar 9 01:00:48 2024 max relations containing the same ideal: 87
  65. Sat Mar 9 01:01:06 2024 removing 5091255 relations and 4091255 ideals in 1000000 cliques
  66. Sat Mar 9 01:01:09 2024 commencing in-memory singleton removal
  67. Sat Mar 9 01:01:10 2024 begin with 40222674 relations and 42104365 unique ideals
  68. Sat Mar 9 01:01:13 2024 reduce to 39782225 relations and 37563986 ideals in 9 passes
  69. Sat Mar 9 01:01:13 2024 max relations containing the same ideal: 80
  70. Sat Mar 9 01:01:29 2024 removing 4881792 relations and 3881792 ideals in 1000000 cliques
  71. Sat Mar 9 01:01:31 2024 commencing in-memory singleton removal
  72. Sat Mar 9 01:01:32 2024 begin with 34900433 relations and 37563986 unique ideals
  73. Sat Mar 9 01:01:35 2024 reduce to 34442771 relations and 33214549 ideals in 10 passes
  74. Sat Mar 9 01:01:35 2024 max relations containing the same ideal: 71
  75. Sat Mar 9 01:01:49 2024 removing 937153 relations and 806310 ideals in 130843 cliques
  76. Sat Mar 9 01:01:50 2024 commencing in-memory singleton removal
  77. Sat Mar 9 01:01:51 2024 begin with 33505618 relations and 33214549 unique ideals
  78. Sat Mar 9 01:01:53 2024 reduce to 33489456 relations and 32392018 ideals in 7 passes
  79. Sat Mar 9 01:01:53 2024 max relations containing the same ideal: 71
  80. Sat Mar 9 01:01:57 2024 relations with 0 large ideals: 3030
  81. Sat Mar 9 01:01:57 2024 relations with 1 large ideals: 32498
  82. Sat Mar 9 01:01:57 2024 relations with 2 large ideals: 400382
  83. Sat Mar 9 01:01:57 2024 relations with 3 large ideals: 2112526
  84. Sat Mar 9 01:01:57 2024 relations with 4 large ideals: 5845189
  85. Sat Mar 9 01:01:57 2024 relations with 5 large ideals: 9248217
  86. Sat Mar 9 01:01:57 2024 relations with 6 large ideals: 8768990
  87. Sat Mar 9 01:01:57 2024 relations with 7+ large ideals: 7078624
  88. Sat Mar 9 01:01:57 2024 commencing 2-way merge
  89. Sat Mar 9 01:02:17 2024 reduce to 19689586 relation sets and 18592148 unique ideals
  90. Sat Mar 9 01:02:17 2024 commencing full merge
  91. Sat Mar 9 01:11:18 2024 memory use: 2210.8 MB
  92. Sat Mar 9 01:11:20 2024 found 8588973 cycles, need 8550348
  93. Sat Mar 9 01:11:22 2024 weight of 8550348 cycles is about 1060583015 (124.04/cycle)
  94. Sat Mar 9 01:11:22 2024 distribution of cycle lengths:
  95. Sat Mar 9 01:11:22 2024 1 relations: 435767
  96. Sat Mar 9 01:11:22 2024 2 relations: 562350
  97. Sat Mar 9 01:11:22 2024 3 relations: 624425
  98. Sat Mar 9 01:11:22 2024 4 relations: 616632
  99. Sat Mar 9 01:11:22 2024 5 relations: 608135
  100. Sat Mar 9 01:11:22 2024 6 relations: 578928
  101. Sat Mar 9 01:11:22 2024 7 relations: 557391
  102. Sat Mar 9 01:11:22 2024 8 relations: 518928
  103. Sat Mar 9 01:11:22 2024 9 relations: 491378
  104. Sat Mar 9 01:11:22 2024 10+ relations: 3556414
  105. Sat Mar 9 01:11:22 2024 heaviest cycle: 28 relations
  106. Sat Mar 9 01:11:24 2024 commencing cycle optimization
  107. Sat Mar 9 01:11:39 2024 start with 78406879 relations
  108. Sat Mar 9 01:13:55 2024 pruned 2910303 relations
  109. Sat Mar 9 01:13:55 2024 memory use: 2168.7 MB
  110. Sat Mar 9 01:13:55 2024 distribution of cycle lengths:
  111. Sat Mar 9 01:13:56 2024 1 relations: 435767
  112. Sat Mar 9 01:13:56 2024 2 relations: 576504
  113. Sat Mar 9 01:13:56 2024 3 relations: 649231
  114. Sat Mar 9 01:13:56 2024 4 relations: 638179
  115. Sat Mar 9 01:13:56 2024 5 relations: 632006
  116. Sat Mar 9 01:13:56 2024 6 relations: 599838
  117. Sat Mar 9 01:13:56 2024 7 relations: 577261
  118. Sat Mar 9 01:13:56 2024 8 relations: 535344
  119. Sat Mar 9 01:13:56 2024 9 relations: 506870
  120. Sat Mar 9 01:13:56 2024 10+ relations: 3399348
  121. Sat Mar 9 01:13:56 2024 heaviest cycle: 28 relations
  122. Sat Mar 9 01:14:06 2024 RelProcTime: 2271
  123. Sat Mar 9 01:14:06 2024 elapsed time 00:37:52
  124. Sat Mar 9 01:16:25 2024
  125. Sat Mar 9 01:16:25 2024
  126. Sat Mar 9 01:16:25 2024 Msieve v. 1.54 (SVN Unversioned directory)
  127. Sat Mar 9 01:16:25 2024 random seeds: 17e42c57 ea7672c0
  128. Sat Mar 9 01:16:25 2024 Using 64 OpenMP threads
  129. Sat Mar 9 01:16:25 2024 factoring 76979811276468164610130266272758786508065785084781435371088550132216049537683722240066474602992093718817871053532958472868248874763326800398828292059735593532687137461 (167 digits)
  130. Sat Mar 9 01:16:26 2024 searching for 15-digit factors
  131. Sat Mar 9 01:16:26 2024 commencing number field sieve (167-digit input)
  132. Sat Mar 9 01:16:26 2024 R0: -347552977362089665092225826597336
  133. Sat Mar 9 01:16:26 2024 R1: 153563005293493771
  134. Sat Mar 9 01:16:26 2024 A0: 10870393864231111085789377260048907728447
  135. Sat Mar 9 01:16:26 2024 A1: 1123630893709843899810208492457374
  136. Sat Mar 9 01:16:26 2024 A2: -179333719194633287994110991
  137. Sat Mar 9 01:16:26 2024 A3: -35284391994678656576
  138. Sat Mar 9 01:16:26 2024 A4: 312426677222
  139. Sat Mar 9 01:16:26 2024 A5: 15180
  140. Sat Mar 9 01:16:26 2024 skew 22641044.33, size 2.918e-16, alpha -6.007, combined = 5.558e-13 rroots = 3
  141. Sat Mar 9 01:16:26 2024
  142. Sat Mar 9 01:16:26 2024 commencing linear algebra
  143. Sat Mar 9 01:16:26 2024 using VBITS=256
  144. Sat Mar 9 01:16:27 2024 read 8550348 cycles
  145. Sat Mar 9 01:16:41 2024 cycles contain 32721567 unique relations
  146. Sat Mar 9 01:19:51 2024 read 32721567 relations
  147. Sat Mar 9 01:19:54 2024 using 20 quadratic characters above 4294917295
  148. Sat Mar 9 01:19:56 2024 building initial matrix
  149. Sat Mar 9 01:25:52 2024 memory use: 4393.7 MB
  150. Sat Mar 9 01:25:57 2024 read 8550348 cycles
  151. Sat Mar 9 01:25:58 2024 matrix is 8550169 x 8550348 (4186.4 MB) with weight 1282618175 (150.01/col)
  152. Sat Mar 9 01:25:58 2024 sparse part has weight 994845552 (116.35/col)
  153. Sat Mar 9 01:27:52 2024 filtering completed in 2 passes
  154. Sat Mar 9 01:27:54 2024 matrix is 8549567 x 8549745 (4186.4 MB) with weight 1282588174 (150.01/col)
  155. Sat Mar 9 01:27:54 2024 sparse part has weight 994837555 (116.36/col)
  156. Sat Mar 9 01:28:22 2024 matrix starts at (0, 0)
  157. Sat Mar 9 01:28:23 2024 matrix is 8549567 x 8549745 (4186.4 MB) with weight 1282588174 (150.01/col)
  158. Sat Mar 9 01:28:23 2024 sparse part has weight 994837555 (116.36/col)
  159. Sat Mar 9 01:28:23 2024 saving the first 240 matrix rows for later
  160. Sat Mar 9 01:28:24 2024 matrix includes 256 packed rows
  161. Sat Mar 9 01:28:27 2024 matrix is 8549327 x 8549745 (3807.6 MB) with weight 916154398 (107.16/col)
  162. Sat Mar 9 01:28:27 2024 sparse part has weight 861346241 (100.75/col)
  163. Sat Mar 9 01:28:27 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  164. Sat Mar 9 01:28:45 2024 commencing Lanczos iteration (64 threads)
  165. Sat Mar 9 01:28:45 2024 memory use: 5154.2 MB
  166. Sat Mar 9 01:30:09 2024 linear algebra at 0.4%, ETA 6h24m
  167. Sat Mar 9 01:32:07 2024 checking every 20000 dimensions, checkpointing every 1380000 dimensions
  168. Sat Mar 9 07:35:42 2024 lanczos halted after 33497 iterations (dim = 8549325)
  169. Sat Mar 9 07:36:20 2024 recovered 30 nontrivial dependencies
  170. Sat Mar 9 07:36:21 2024 BLanczosTime: 22795
  171. Sat Mar 9 07:36:21 2024
  172. Sat Mar 9 07:36:21 2024 commencing square root phase
  173. Sat Mar 9 07:36:21 2024 reading relations for dependency 1
  174. Sat Mar 9 07:36:21 2024 read 4275406 cycles
  175. Sat Mar 9 07:36:28 2024 cycles contain 16359868 unique relations
  176. Sat Mar 9 07:39:34 2024 read 16359868 relations
  177. Sat Mar 9 07:40:28 2024 multiplying 16359868 relations
  178. Sat Mar 9 07:51:30 2024 multiply complete, coefficients have about 837.67 million bits
  179. Sat Mar 9 07:51:33 2024 initial square root is modulo 32747681
  180. Sat Mar 9 07:57:45 2024 GCD is 1, no factor found
  181. Sat Mar 9 07:57:45 2024 reading relations for dependency 2
  182. Sat Mar 9 07:57:46 2024 read 4274821 cycles
  183. Sat Mar 9 07:57:53 2024 cycles contain 16363078 unique relations
  184. Sat Mar 9 08:01:12 2024 read 16363078 relations
  185. Sat Mar 9 08:02:10 2024 multiplying 16363078 relations
  186. Sat Mar 9 08:10:11 2024 multiply complete, coefficients have about 837.83 million bits
  187. Sat Mar 9 08:10:14 2024 initial square root is modulo 32857997
  188. Sat Mar 9 08:16:43 2024 sqrtTime: 2422
  189. Sat Mar 9 08:16:43 2024 p81 factor: 463103410025354461962927347589622524380916226779553004383488142534930214862868397
  190. Sat Mar 9 08:16:43 2024 p87 factor: 166225965108427067510769924444801187606752195606418160627666759882050892263369012303913
  191. Sat Mar 9 08:16:43 2024 elapsed time 07:00:18
  192.  
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