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Jan 23rd, 2023
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  1. Mon Jan 23 09:49:33 2023
  2. Mon Jan 23 09:49:33 2023
  3. Mon Jan 23 09:49:33 2023 Msieve v. 1.54 (SVN 1043M)
  4. Mon Jan 23 09:49:33 2023 random seeds: ec48f349 12796346
  5. Mon Jan 23 09:49:33 2023 factoring 17697319010229148541336851301644954827065841477500482788167055370455241993617782816505781510643068741671887894382198448780286796208557806937280611706604951 (155 digits)
  6. Mon Jan 23 09:49:34 2023 searching for 15-digit factors
  7. Mon Jan 23 09:49:35 2023 commencing number field sieve (155-digit input)
  8. Mon Jan 23 09:49:35 2023 R0: -576358118172842330468419701256
  9. Mon Jan 23 09:49:35 2023 R1: 319848769150116599
  10. Mon Jan 23 09:49:35 2023 A0: -50701654394834340156756737007981375
  11. Mon Jan 23 09:49:35 2023 A1: 4013100406777019696372715995400
  12. Mon Jan 23 09:49:35 2023 A2: -4013186600144503433417975
  13. Mon Jan 23 09:49:35 2023 A3: -4720283351023250996
  14. Mon Jan 23 09:49:35 2023 A4: 1002425258914
  15. Mon Jan 23 09:49:35 2023 A5: 278256
  16. Mon Jan 23 09:49:35 2023 skew 1821684.33, size 4.738e-15, alpha -5.833, combined = 2.846e-12 rroots = 5
  17. Mon Jan 23 09:49:35 2023
  18. Mon Jan 23 09:49:35 2023 commencing relation filtering
  19. Mon Jan 23 09:49:35 2023 setting target matrix density to 120.0
  20. Mon Jan 23 09:49:35 2023 estimated available RAM is 63624.2 MB
  21. Mon Jan 23 09:49:35 2023 commencing duplicate removal, pass 1
  22. Mon Jan 23 09:57:33 2023 found 1926093 hash collisions in 46804352 relations
  23. Mon Jan 23 09:58:06 2023 commencing duplicate removal, pass 2
  24. Mon Jan 23 09:58:22 2023 found 0 duplicates and 46804352 unique relations
  25. Mon Jan 23 09:58:22 2023 memory use: 130.6 MB
  26. Mon Jan 23 09:58:22 2023 reading ideals above 720000
  27. Mon Jan 23 09:58:22 2023 commencing singleton removal, initial pass
  28. Mon Jan 23 10:05:57 2023 memory use: 1378.0 MB
  29. Mon Jan 23 10:05:57 2023 reading all ideals from disk
  30. Mon Jan 23 10:05:58 2023 memory use: 1684.9 MB
  31. Mon Jan 23 10:06:03 2023 keeping 45800859 ideals with weight <= 200, target excess is 254059
  32. Mon Jan 23 10:06:09 2023 commencing in-memory singleton removal
  33. Mon Jan 23 10:06:14 2023 begin with 46804352 relations and 45800859 unique ideals
  34. Mon Jan 23 10:07:20 2023 reduce to 27221512 relations and 23933325 ideals in 15 passes
  35. Mon Jan 23 10:07:20 2023 max relations containing the same ideal: 146
  36. Mon Jan 23 10:07:35 2023 removing 2647430 relations and 2247430 ideals in 400000 cliques
  37. Mon Jan 23 10:07:37 2023 commencing in-memory singleton removal
  38. Mon Jan 23 10:07:39 2023 begin with 24574082 relations and 23933325 unique ideals
  39. Mon Jan 23 10:08:10 2023 reduce to 24382235 relations and 21490415 ideals in 9 passes
  40. Mon Jan 23 10:08:10 2023 max relations containing the same ideal: 135
  41. Mon Jan 23 10:08:26 2023 removing 2001699 relations and 1601699 ideals in 400000 cliques
  42. Mon Jan 23 10:08:27 2023 commencing in-memory singleton removal
  43. Mon Jan 23 10:08:29 2023 begin with 22380536 relations and 21490415 unique ideals
  44. Mon Jan 23 10:08:46 2023 reduce to 22256370 relations and 19762506 ideals in 8 passes
  45. Mon Jan 23 10:08:46 2023 max relations containing the same ideal: 126
  46. Mon Jan 23 10:08:58 2023 removing 1799997 relations and 1399997 ideals in 400000 cliques
  47. Mon Jan 23 10:08:59 2023 commencing in-memory singleton removal
  48. Mon Jan 23 10:09:01 2023 begin with 20456373 relations and 19762506 unique ideals
  49. Mon Jan 23 10:09:24 2023 reduce to 20345997 relations and 18250329 ideals in 8 passes
  50. Mon Jan 23 10:09:24 2023 max relations containing the same ideal: 122
  51. Mon Jan 23 10:09:33 2023 removing 1699064 relations and 1299064 ideals in 400000 cliques
  52. Mon Jan 23 10:09:34 2023 commencing in-memory singleton removal
  53. Mon Jan 23 10:09:35 2023 begin with 18646933 relations and 18250329 unique ideals
  54. Mon Jan 23 10:09:46 2023 reduce to 18540637 relations and 16843122 ideals in 7 passes
  55. Mon Jan 23 10:09:46 2023 max relations containing the same ideal: 113
  56. Mon Jan 23 10:09:55 2023 removing 1634334 relations and 1234334 ideals in 400000 cliques
  57. Mon Jan 23 10:09:56 2023 commencing in-memory singleton removal
  58. Mon Jan 23 10:09:57 2023 begin with 16906303 relations and 16843122 unique ideals
  59. Mon Jan 23 10:10:08 2023 reduce to 16799766 relations and 15500315 ideals in 8 passes
  60. Mon Jan 23 10:10:08 2023 max relations containing the same ideal: 104
  61. Mon Jan 23 10:10:16 2023 removing 1594364 relations and 1194364 ideals in 400000 cliques
  62. Mon Jan 23 10:10:17 2023 commencing in-memory singleton removal
  63. Mon Jan 23 10:10:18 2023 begin with 15205402 relations and 15500315 unique ideals
  64. Mon Jan 23 10:10:28 2023 reduce to 15095780 relations and 14194090 ideals in 8 passes
  65. Mon Jan 23 10:10:28 2023 max relations containing the same ideal: 99
  66. Mon Jan 23 10:10:35 2023 removing 1568690 relations and 1168690 ideals in 400000 cliques
  67. Mon Jan 23 10:10:36 2023 commencing in-memory singleton removal
  68. Mon Jan 23 10:10:37 2023 begin with 13527090 relations and 14194090 unique ideals
  69. Mon Jan 23 10:10:50 2023 reduce to 13411147 relations and 12906867 ideals in 8 passes
  70. Mon Jan 23 10:10:50 2023 max relations containing the same ideal: 92
  71. Mon Jan 23 10:10:58 2023 removing 923221 relations and 713650 ideals in 209571 cliques
  72. Mon Jan 23 10:10:59 2023 commencing in-memory singleton removal
  73. Mon Jan 23 10:11:00 2023 begin with 12487926 relations and 12906867 unique ideals
  74. Mon Jan 23 10:11:11 2023 reduce to 12445530 relations and 12150268 ideals in 7 passes
  75. Mon Jan 23 10:11:11 2023 max relations containing the same ideal: 87
  76. Mon Jan 23 10:11:20 2023 relations with 0 large ideals: 805
  77. Mon Jan 23 10:11:20 2023 relations with 1 large ideals: 2358
  78. Mon Jan 23 10:11:20 2023 relations with 2 large ideals: 35560
  79. Mon Jan 23 10:11:20 2023 relations with 3 large ideals: 261047
  80. Mon Jan 23 10:11:20 2023 relations with 4 large ideals: 1025315
  81. Mon Jan 23 10:11:20 2023 relations with 5 large ideals: 2376381
  82. Mon Jan 23 10:11:20 2023 relations with 6 large ideals: 3411143
  83. Mon Jan 23 10:11:20 2023 relations with 7+ large ideals: 5332921
  84. Mon Jan 23 10:11:20 2023 commencing 2-way merge
  85. Mon Jan 23 10:11:30 2023 reduce to 8041480 relation sets and 7746218 unique ideals
  86. Mon Jan 23 10:11:30 2023 commencing full merge
  87. Mon Jan 23 10:15:06 2023 memory use: 1016.7 MB
  88. Mon Jan 23 10:15:07 2023 found 3587826 cycles, need 3574418
  89. Mon Jan 23 10:15:09 2023 weight of 3574418 cycles is about 429240016 (120.09/cycle)
  90. Mon Jan 23 10:15:09 2023 distribution of cycle lengths:
  91. Mon Jan 23 10:15:09 2023 1 relations: 135923
  92. Mon Jan 23 10:15:09 2023 2 relations: 221484
  93. Mon Jan 23 10:15:09 2023 3 relations: 258601
  94. Mon Jan 23 10:15:09 2023 4 relations: 263799
  95. Mon Jan 23 10:15:09 2023 5 relations: 266272
  96. Mon Jan 23 10:15:09 2023 6 relations: 260592
  97. Mon Jan 23 10:15:09 2023 7 relations: 251090
  98. Mon Jan 23 10:15:09 2023 8 relations: 238095
  99. Mon Jan 23 10:15:09 2023 9 relations: 224613
  100. Mon Jan 23 10:15:09 2023 10+ relations: 1453949
  101. Mon Jan 23 10:15:09 2023 heaviest cycle: 28 relations
  102. Mon Jan 23 10:15:10 2023 commencing cycle optimization
  103. Mon Jan 23 10:15:20 2023 start with 32116597 relations
  104. Mon Jan 23 10:16:45 2023 pruned 1495015 relations
  105. Mon Jan 23 10:16:45 2023 memory use: 845.9 MB
  106. Mon Jan 23 10:16:45 2023 distribution of cycle lengths:
  107. Mon Jan 23 10:16:45 2023 1 relations: 135923
  108. Mon Jan 23 10:16:45 2023 2 relations: 227899
  109. Mon Jan 23 10:16:45 2023 3 relations: 270647
  110. Mon Jan 23 10:16:45 2023 4 relations: 275530
  111. Mon Jan 23 10:16:45 2023 5 relations: 280145
  112. Mon Jan 23 10:16:45 2023 6 relations: 272396
  113. Mon Jan 23 10:16:45 2023 7 relations: 263827
  114. Mon Jan 23 10:16:45 2023 8 relations: 248669
  115. Mon Jan 23 10:16:45 2023 9 relations: 234236
  116. Mon Jan 23 10:16:45 2023 10+ relations: 1365146
  117. Mon Jan 23 10:16:45 2023 heaviest cycle: 28 relations
  118. Mon Jan 23 10:16:53 2023 RelProcTime: 1638
  119. Mon Jan 23 10:16:53 2023 elapsed time 00:27:20
  120. Mon Jan 23 10:24:06 2023
  121. Mon Jan 23 10:24:06 2023
  122. Mon Jan 23 10:24:06 2023 Msieve v. 1.54 (SVN 1043M)
  123. Mon Jan 23 10:24:06 2023 random seeds: abcbe31c 33c8074e
  124. Mon Jan 23 10:24:06 2023 factoring 17697319010229148541336851301644954827065841477500482788167055370455241993617782816505781510643068741671887894382198448780286796208557806937280611706604951 (155 digits)
  125. Mon Jan 23 10:24:07 2023 searching for 15-digit factors
  126. Mon Jan 23 10:24:07 2023 commencing number field sieve (155-digit input)
  127. Mon Jan 23 10:24:07 2023 R0: -576358118172842330468419701256
  128. Mon Jan 23 10:24:07 2023 R1: 319848769150116599
  129. Mon Jan 23 10:24:07 2023 A0: -50701654394834340156756737007981375
  130. Mon Jan 23 10:24:07 2023 A1: 4013100406777019696372715995400
  131. Mon Jan 23 10:24:07 2023 A2: -4013186600144503433417975
  132. Mon Jan 23 10:24:07 2023 A3: -4720283351023250996
  133. Mon Jan 23 10:24:07 2023 A4: 1002425258914
  134. Mon Jan 23 10:24:07 2023 A5: 278256
  135. Mon Jan 23 10:24:07 2023 skew 1821684.33, size 4.738e-15, alpha -5.833, combined = 2.846e-12 rroots = 5
  136. Mon Jan 23 10:24:07 2023
  137. Mon Jan 23 10:24:07 2023 commencing linear algebra
  138. Mon Jan 23 10:24:08 2023 read 3574418 cycles
  139. Mon Jan 23 10:24:18 2023 cycles contain 12277572 unique relations
  140. Mon Jan 23 10:25:35 2023 read 12277572 relations
  141. Mon Jan 23 10:25:55 2023 using 20 quadratic characters above 4294917295
  142. Mon Jan 23 10:27:08 2023 building initial matrix
  143. Mon Jan 23 10:30:35 2023 memory use: 1650.9 MB
  144. Mon Jan 23 10:30:37 2023 read 3574418 cycles
  145. Mon Jan 23 10:30:38 2023 matrix is 3574241 x 3574418 (1670.5 MB) with weight 507125123 (141.88/col)
  146. Mon Jan 23 10:30:38 2023 sparse part has weight 398587592 (111.51/col)
  147. Mon Jan 23 10:31:23 2023 filtering completed in 2 passes
  148. Mon Jan 23 10:31:24 2023 matrix is 3574187 x 3574364 (1670.5 MB) with weight 507122782 (141.88/col)
  149. Mon Jan 23 10:31:24 2023 sparse part has weight 398586881 (111.51/col)
  150. Mon Jan 23 10:31:46 2023 matrix starts at (0, 0)
  151. Mon Jan 23 10:31:47 2023 matrix is 3574187 x 3574364 (1670.5 MB) with weight 507122782 (141.88/col)
  152. Mon Jan 23 10:31:47 2023 sparse part has weight 398586881 (111.51/col)
  153. Mon Jan 23 10:31:47 2023 saving the first 48 matrix rows for later
  154. Mon Jan 23 10:31:48 2023 matrix includes 64 packed rows
  155. Mon Jan 23 10:31:49 2023 matrix is 3574139 x 3574364 (1629.0 MB) with weight 434545991 (121.57/col)
  156. Mon Jan 23 10:31:49 2023 sparse part has weight 391299008 (109.47/col)
  157. Mon Jan 23 10:31:49 2023 using block size 8192 and superblock size 3514368 for processor cache size 36608 kB
  158. Mon Jan 23 10:32:06 2023 commencing Lanczos iteration (4 threads)
  159. Mon Jan 23 10:32:06 2023 memory use: 1516.3 MB
  160. Mon Jan 23 10:32:28 2023 linear algebra at 0.0%, ETA 14h27m
  161. Mon Jan 23 10:32:36 2023 checkpointing every 250000 dimensions
  162. Mon Jan 23 19:10:31 2023 lanczos halted after 56520 iterations (dim = 3574139)
  163. Mon Jan 23 19:10:35 2023 recovered 31 nontrivial dependencies
  164. Mon Jan 23 19:10:35 2023 BLanczosTime: 31588
  165. Mon Jan 23 19:10:35 2023
  166. Mon Jan 23 19:10:35 2023 commencing square root phase
  167. Mon Jan 23 19:10:35 2023 reading relations for dependency 1
  168. Mon Jan 23 19:10:35 2023 read 1786713 cycles
  169. Mon Jan 23 19:10:40 2023 cycles contain 6138300 unique relations
  170. Mon Jan 23 19:11:24 2023 read 6138300 relations
  171. Mon Jan 23 19:12:02 2023 multiplying 6138300 relations
  172. Mon Jan 23 19:19:27 2023 multiply complete, coefficients have about 328.21 million bits
  173. Mon Jan 23 19:19:29 2023 initial square root is modulo 774773
  174. Mon Jan 23 19:28:48 2023 found factor: 41424024154135336131838611718764317040167706362887
  175. Mon Jan 23 19:28:48 2023 reading relations for dependency 2
  176. Mon Jan 23 19:28:49 2023 read 1786915 cycles
  177. Mon Jan 23 19:28:53 2023 cycles contain 6140336 unique relations
  178. Mon Jan 23 19:29:42 2023 read 6140336 relations
  179. Mon Jan 23 19:30:16 2023 multiplying 6140336 relations
  180. Mon Jan 23 19:38:09 2023 multiply complete, coefficients have about 328.32 million bits
  181. Mon Jan 23 19:38:10 2023 initial square root is modulo 778357
  182. Mon Jan 23 19:47:06 2023 found factor: 41424024154135336131838611718764317040167706362887
  183. Mon Jan 23 19:47:06 2023 reading relations for dependency 3
  184. Mon Jan 23 19:47:07 2023 read 1787704 cycles
  185. Mon Jan 23 19:47:13 2023 cycles contain 6140866 unique relations
  186. Mon Jan 23 19:48:02 2023 read 6140866 relations
  187. Mon Jan 23 19:48:35 2023 multiplying 6140866 relations
  188. Mon Jan 23 19:55:36 2023 multiply complete, coefficients have about 328.34 million bits
  189. Mon Jan 23 19:55:37 2023 initial square root is modulo 778913
  190. Mon Jan 23 20:04:55 2023 GCD is 1, no factor found
  191. Mon Jan 23 20:04:55 2023 reading relations for dependency 4
  192. Mon Jan 23 20:04:55 2023 read 1788582 cycles
  193. Mon Jan 23 20:05:00 2023 cycles contain 6143936 unique relations
  194. Mon Jan 23 20:05:36 2023 read 6143936 relations
  195. Mon Jan 23 20:06:07 2023 multiplying 6143936 relations
  196. Mon Jan 23 20:13:34 2023 multiply complete, coefficients have about 328.50 million bits
  197. Mon Jan 23 20:13:36 2023 initial square root is modulo 784457
  198. Mon Jan 23 20:23:10 2023 GCD is 1, no factor found
  199. Mon Jan 23 20:23:10 2023 reading relations for dependency 5
  200. Mon Jan 23 20:23:11 2023 read 1787226 cycles
  201. Mon Jan 23 20:23:16 2023 cycles contain 6140338 unique relations
  202. Mon Jan 23 20:23:56 2023 read 6140338 relations
  203. Mon Jan 23 20:24:32 2023 multiplying 6140338 relations
  204. Mon Jan 23 20:32:35 2023 multiply complete, coefficients have about 328.32 million bits
  205. Mon Jan 23 20:32:37 2023 initial square root is modulo 778397
  206. Mon Jan 23 20:41:11 2023 sqrtTime: 5436
  207. Mon Jan 23 20:41:11 2023 p50 factor: 41424024154135336131838611718764317040167706362887
  208. Mon Jan 23 20:41:11 2023 p52 factor: 1974654903216419869973296039509393066925981732652617
  209. Mon Jan 23 20:41:11 2023 p54 factor: 216353529871809822320658056042657259906920986825163369
  210. Mon Jan 23 20:41:11 2023 elapsed time 10:17:05
  211.  
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