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Jun 13th, 2024
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  1. Thu Jun 13 11:26:20 2024
  2. Thu Jun 13 11:26:20 2024
  3. Thu Jun 13 11:26:20 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 13 11:26:20 2024 random seeds: 80c004a9 0e9c46aa
  5. Thu Jun 13 11:26:20 2024 Using 16 OpenMP threads
  6. Thu Jun 13 11:26:20 2024 factoring 27990831950974449797284253065022136284697033764038132230252047687734643191594276250689613100782308865392140855631417129023692931428948413914569820665547708898056744379 (167 digits)
  7. Thu Jun 13 11:26:21 2024 searching for 15-digit factors
  8. Thu Jun 13 11:26:22 2024 commencing number field sieve (167-digit input)
  9. Thu Jun 13 11:26:22 2024 R0: -254493456886201063484334981043882
  10. Thu Jun 13 11:26:22 2024 R1: 43311992396726627
  11. Thu Jun 13 11:26:22 2024 A0: -1488390252211425766095893971403715169056225
  12. Thu Jun 13 11:26:22 2024 A1: 641042312380399064645339167265140049
  13. Thu Jun 13 11:26:22 2024 A2: -28846416668525519252711343183
  14. Thu Jun 13 11:26:22 2024 A3: -378737139623152891581
  15. Thu Jun 13 11:26:22 2024 A4: 5227876647472
  16. Thu Jun 13 11:26:22 2024 A5: 26220
  17. Thu Jun 13 11:26:22 2024 skew 66208423.43, size 3.032e-16, alpha -8.471, combined = 5.518e-13 rroots = 5
  18. Thu Jun 13 11:26:22 2024
  19. Thu Jun 13 11:26:22 2024 commencing relation filtering
  20. Thu Jun 13 11:26:22 2024 setting target matrix density to 130.0
  21. Thu Jun 13 11:26:22 2024 estimated available RAM is 515996.3 MB
  22. Thu Jun 13 11:26:22 2024 commencing duplicate removal, pass 1
  23. Thu Jun 13 11:27:05 2024 error -1 reading relation 17246478
  24. Thu Jun 13 11:27:09 2024 error -1 reading relation 18917490
  25. Thu Jun 13 11:27:09 2024 error -1 reading relation 18919032
  26. Thu Jun 13 11:29:32 2024 error -1 reading relation 81474234
  27. Thu Jun 13 11:30:34 2024 error -1 reading relation 109966843
  28. Thu Jun 13 11:31:20 2024 error -1 reading relation 131876253
  29. Thu Jun 13 11:31:39 2024 error -1 reading relation 141145935
  30. Thu Jun 13 11:31:55 2024 error -1 reading relation 148461077
  31. Thu Jun 13 11:32:10 2024 error -1 reading relation 155953644
  32. Thu Jun 13 11:33:39 2024 error -15 reading relation 199481560
  33. Thu Jun 13 11:33:40 2024 error -15 reading relation 199580394
  34. Thu Jun 13 11:33:40 2024 error -1 reading relation 199607847
  35. Thu Jun 13 11:33:40 2024 error -15 reading relation 199676292
  36. Thu Jun 13 11:33:42 2024 error -15 reading relation 200640775
  37. Thu Jun 13 11:33:42 2024 error -1 reading relation 200640776
  38. Thu Jun 13 11:33:42 2024 error -1 reading relation 200653261
  39. Thu Jun 13 11:33:47 2024 error -15 reading relation 203127529
  40. Thu Jun 13 11:33:59 2024 error -15 reading relation 209016988
  41. Thu Jun 13 11:34:00 2024 error -1 reading relation 209916914
  42. Thu Jun 13 11:34:34 2024 skipped 2 relations with composite factors
  43. Thu Jun 13 11:34:34 2024 skipped 44 malformed relations
  44. Thu Jun 13 11:34:34 2024 found 46319192 hash collisions in 226009304 relations
  45. Thu Jun 13 11:34:56 2024 added 121898 free relations
  46. Thu Jun 13 11:34:56 2024 commencing duplicate removal, pass 2
  47. Thu Jun 13 11:40:20 2024 found 45371825 duplicates and 180759377 unique relations
  48. Thu Jun 13 11:40:20 2024 memory use: 1321.5 MB
  49. Thu Jun 13 11:40:20 2024 reading ideals above 720000
  50. Thu Jun 13 11:40:20 2024 commencing singleton removal, initial pass
  51. Thu Jun 13 11:55:50 2024 memory use: 5512.0 MB
  52. Thu Jun 13 11:55:50 2024 reading all ideals from disk
  53. Thu Jun 13 11:55:54 2024 memory use: 8227.4 MB
  54. Thu Jun 13 11:56:19 2024 keeping 187190776 ideals with weight <= 200, target excess is 966040
  55. Thu Jun 13 11:56:50 2024 commencing in-memory singleton removal
  56. Thu Jun 13 11:56:54 2024 begin with 180759377 relations and 187190776 unique ideals
  57. Thu Jun 13 11:57:16 2024 reduce to 74570474 relations and 65645622 ideals in 20 passes
  58. Thu Jun 13 11:57:16 2024 max relations containing the same ideal: 115
  59. Thu Jun 13 11:57:55 2024 removing 7820108 relations and 6820108 ideals in 1000000 cliques
  60. Thu Jun 13 11:58:00 2024 commencing in-memory singleton removal
  61. Thu Jun 13 11:58:02 2024 begin with 66750366 relations and 65645622 unique ideals
  62. Thu Jun 13 11:58:10 2024 reduce to 66148508 relations and 58213090 ideals in 9 passes
  63. Thu Jun 13 11:58:10 2024 max relations containing the same ideal: 107
  64. Thu Jun 13 11:58:44 2024 removing 5826510 relations and 4826510 ideals in 1000000 cliques
  65. Thu Jun 13 11:58:47 2024 commencing in-memory singleton removal
  66. Thu Jun 13 11:58:49 2024 begin with 60321998 relations and 58213090 unique ideals
  67. Thu Jun 13 11:58:57 2024 reduce to 59934462 relations and 52993147 ideals in 9 passes
  68. Thu Jun 13 11:58:57 2024 max relations containing the same ideal: 99
  69. Thu Jun 13 11:59:37 2024 removing 5210251 relations and 4210251 ideals in 1000000 cliques
  70. Thu Jun 13 11:59:41 2024 commencing in-memory singleton removal
  71. Thu Jun 13 11:59:43 2024 begin with 54724211 relations and 52993147 unique ideals
  72. Thu Jun 13 11:59:49 2024 reduce to 54380690 relations and 48434100 ideals in 8 passes
  73. Thu Jun 13 11:59:49 2024 max relations containing the same ideal: 93
  74. Thu Jun 13 12:00:15 2024 removing 4882416 relations and 3882416 ideals in 1000000 cliques
  75. Thu Jun 13 12:00:19 2024 commencing in-memory singleton removal
  76. Thu Jun 13 12:00:20 2024 begin with 49498274 relations and 48434100 unique ideals
  77. Thu Jun 13 12:00:26 2024 reduce to 49169523 relations and 44217481 ideals in 9 passes
  78. Thu Jun 13 12:00:26 2024 max relations containing the same ideal: 85
  79. Thu Jun 13 12:00:49 2024 removing 4674104 relations and 3674104 ideals in 1000000 cliques
  80. Thu Jun 13 12:00:53 2024 commencing in-memory singleton removal
  81. Thu Jun 13 12:00:54 2024 begin with 44495419 relations and 44217481 unique ideals
  82. Thu Jun 13 12:00:58 2024 reduce to 44164332 relations and 40206399 ideals in 8 passes
  83. Thu Jun 13 12:00:58 2024 max relations containing the same ideal: 80
  84. Thu Jun 13 12:01:20 2024 removing 4535025 relations and 3535025 ideals in 1000000 cliques
  85. Thu Jun 13 12:01:22 2024 commencing in-memory singleton removal
  86. Thu Jun 13 12:01:23 2024 begin with 39629307 relations and 40206399 unique ideals
  87. Thu Jun 13 12:01:28 2024 reduce to 39286763 relations and 36322077 ideals in 9 passes
  88. Thu Jun 13 12:01:28 2024 max relations containing the same ideal: 76
  89. Thu Jun 13 12:01:46 2024 removing 4436198 relations and 3436198 ideals in 1000000 cliques
  90. Thu Jun 13 12:01:49 2024 commencing in-memory singleton removal
  91. Thu Jun 13 12:01:50 2024 begin with 34850565 relations and 36322077 unique ideals
  92. Thu Jun 13 12:01:53 2024 reduce to 34483910 relations and 32511191 ideals in 9 passes
  93. Thu Jun 13 12:01:53 2024 max relations containing the same ideal: 70
  94. Thu Jun 13 12:02:18 2024 removing 3852273 relations and 3000161 ideals in 852112 cliques
  95. Thu Jun 13 12:02:21 2024 commencing in-memory singleton removal
  96. Thu Jun 13 12:02:21 2024 begin with 30631637 relations and 32511191 unique ideals
  97. Thu Jun 13 12:02:25 2024 reduce to 30323389 relations and 29196235 ideals in 9 passes
  98. Thu Jun 13 12:02:25 2024 max relations containing the same ideal: 66
  99. Thu Jun 13 12:02:51 2024 relations with 0 large ideals: 3060
  100. Thu Jun 13 12:02:51 2024 relations with 1 large ideals: 35933
  101. Thu Jun 13 12:02:51 2024 relations with 2 large ideals: 428177
  102. Thu Jun 13 12:02:51 2024 relations with 3 large ideals: 2169627
  103. Thu Jun 13 12:02:51 2024 relations with 4 large ideals: 5710458
  104. Thu Jun 13 12:02:51 2024 relations with 5 large ideals: 8566608
  105. Thu Jun 13 12:02:51 2024 relations with 6 large ideals: 7680949
  106. Thu Jun 13 12:02:51 2024 relations with 7+ large ideals: 5728577
  107. Thu Jun 13 12:02:51 2024 commencing 2-way merge
  108. Thu Jun 13 12:03:20 2024 reduce to 18084540 relation sets and 16957386 unique ideals
  109. Thu Jun 13 12:03:20 2024 commencing full merge
  110. Thu Jun 13 12:11:02 2024 memory use: 2043.0 MB
  111. Thu Jun 13 12:11:04 2024 found 7821220 cycles, need 7789586
  112. Thu Jun 13 12:11:07 2024 weight of 7789586 cycles is about 1013454035 (130.10/cycle)
  113. Thu Jun 13 12:11:07 2024 distribution of cycle lengths:
  114. Thu Jun 13 12:11:07 2024 1 relations: 318259
  115. Thu Jun 13 12:11:07 2024 2 relations: 454604
  116. Thu Jun 13 12:11:07 2024 3 relations: 526606
  117. Thu Jun 13 12:11:07 2024 4 relations: 534213
  118. Thu Jun 13 12:11:07 2024 5 relations: 539609
  119. Thu Jun 13 12:11:07 2024 6 relations: 527827
  120. Thu Jun 13 12:11:07 2024 7 relations: 510707
  121. Thu Jun 13 12:11:07 2024 8 relations: 490229
  122. Thu Jun 13 12:11:07 2024 9 relations: 462811
  123. Thu Jun 13 12:11:07 2024 10+ relations: 3424721
  124. Thu Jun 13 12:11:07 2024 heaviest cycle: 28 relations
  125. Thu Jun 13 12:11:09 2024 commencing cycle optimization
  126. Thu Jun 13 12:11:34 2024 start with 74047079 relations
  127. Thu Jun 13 12:14:59 2024 pruned 3012524 relations
  128. Thu Jun 13 12:14:59 2024 memory use: 1992.9 MB
  129. Thu Jun 13 12:14:59 2024 distribution of cycle lengths:
  130. Thu Jun 13 12:14:59 2024 1 relations: 318259
  131. Thu Jun 13 12:14:59 2024 2 relations: 466546
  132. Thu Jun 13 12:14:59 2024 3 relations: 548151
  133. Thu Jun 13 12:14:59 2024 4 relations: 554480
  134. Thu Jun 13 12:14:59 2024 5 relations: 562967
  135. Thu Jun 13 12:14:59 2024 6 relations: 549490
  136. Thu Jun 13 12:14:59 2024 7 relations: 532733
  137. Thu Jun 13 12:14:59 2024 8 relations: 509292
  138. Thu Jun 13 12:14:59 2024 9 relations: 481213
  139. Thu Jun 13 12:14:59 2024 10+ relations: 3266455
  140. Thu Jun 13 12:14:59 2024 heaviest cycle: 28 relations
  141. Thu Jun 13 12:15:13 2024 RelProcTime: 2931
  142. Thu Jun 13 12:15:13 2024 elapsed time 00:48:53
  143. Thu Jun 13 12:29:32 2024
  144. Thu Jun 13 12:29:32 2024
  145. Thu Jun 13 12:29:32 2024 Msieve v. 1.54 (SVN Unversioned directory)
  146. Thu Jun 13 12:29:32 2024 random seeds: a3328079 18266b5e
  147. Thu Jun 13 12:29:32 2024 Using 64 OpenMP threads
  148. Thu Jun 13 12:29:32 2024 factoring 27990831950974449797284253065022136284697033764038132230252047687734643191594276250689613100782308865392140855631417129023692931428948413914569820665547708898056744379 (167 digits)
  149. Thu Jun 13 12:29:33 2024 searching for 15-digit factors
  150. Thu Jun 13 12:29:33 2024 commencing number field sieve (167-digit input)
  151. Thu Jun 13 12:29:33 2024 R0: -254493456886201063484334981043882
  152. Thu Jun 13 12:29:33 2024 R1: 43311992396726627
  153. Thu Jun 13 12:29:33 2024 A0: -1488390252211425766095893971403715169056225
  154. Thu Jun 13 12:29:33 2024 A1: 641042312380399064645339167265140049
  155. Thu Jun 13 12:29:33 2024 A2: -28846416668525519252711343183
  156. Thu Jun 13 12:29:33 2024 A3: -378737139623152891581
  157. Thu Jun 13 12:29:33 2024 A4: 5227876647472
  158. Thu Jun 13 12:29:33 2024 A5: 26220
  159. Thu Jun 13 12:29:33 2024 skew 66208423.43, size 3.032e-16, alpha -8.471, combined = 5.518e-13 rroots = 5
  160. Thu Jun 13 12:29:33 2024
  161. Thu Jun 13 12:29:33 2024 commencing linear algebra
  162. Thu Jun 13 12:29:33 2024 using VBITS=256
  163. Thu Jun 13 12:29:34 2024 read 7789586 cycles
  164. Thu Jun 13 12:29:51 2024 cycles contain 29492913 unique relations
  165. Thu Jun 13 12:33:27 2024 read 29492913 relations
  166. Thu Jun 13 12:33:30 2024 using 20 quadratic characters above 4294917295
  167. Thu Jun 13 12:33:34 2024 building initial matrix
  168. Thu Jun 13 12:38:48 2024 memory use: 4017.3 MB
  169. Thu Jun 13 12:38:52 2024 read 7789586 cycles
  170. Thu Jun 13 12:38:54 2024 matrix is 7789408 x 7789586 (3962.0 MB) with weight 1216765098 (156.20/col)
  171. Thu Jun 13 12:38:54 2024 sparse part has weight 945142812 (121.33/col)
  172. Thu Jun 13 12:40:17 2024 filtering completed in 2 passes
  173. Thu Jun 13 12:40:19 2024 matrix is 7789108 x 7789286 (3962.0 MB) with weight 1216749543 (156.21/col)
  174. Thu Jun 13 12:40:19 2024 sparse part has weight 945138263 (121.34/col)
  175. Thu Jun 13 12:40:43 2024 matrix starts at (0, 0)
  176. Thu Jun 13 12:40:44 2024 matrix is 7789108 x 7789286 (3962.0 MB) with weight 1216749543 (156.21/col)
  177. Thu Jun 13 12:40:44 2024 sparse part has weight 945138263 (121.34/col)
  178. Thu Jun 13 12:40:44 2024 saving the first 240 matrix rows for later
  179. Thu Jun 13 12:40:46 2024 matrix includes 256 packed rows
  180. Thu Jun 13 12:40:49 2024 matrix is 7788868 x 7789286 (3562.8 MB) with weight 865023159 (111.05/col)
  181. Thu Jun 13 12:40:49 2024 sparse part has weight 809347759 (103.91/col)
  182. Thu Jun 13 12:40:49 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  183. Thu Jun 13 12:41:05 2024 commencing Lanczos iteration (64 threads)
  184. Thu Jun 13 12:41:05 2024 memory use: 4775.7 MB
  185. Thu Jun 13 12:42:21 2024 linear algebra at 0.4%, ETA 5h16m
  186. Thu Jun 13 12:44:08 2024 checking every 20000 dimensions, checkpointing every 1520000 dimensions
  187. Thu Jun 13 17:43:43 2024 lanczos halted after 30518 iterations (dim = 7788868)
  188. Thu Jun 13 17:44:09 2024 recovered 31 nontrivial dependencies
  189. Thu Jun 13 17:44:09 2024 BLanczosTime: 18876
  190. Thu Jun 13 17:44:09 2024
  191. Thu Jun 13 17:44:09 2024 commencing square root phase
  192. Thu Jun 13 17:44:09 2024 reading relations for dependency 1
  193. Thu Jun 13 17:44:10 2024 read 3892705 cycles
  194. Thu Jun 13 17:44:16 2024 cycles contain 14739912 unique relations
  195. Thu Jun 13 17:47:18 2024 read 14739912 relations
  196. Thu Jun 13 17:48:08 2024 multiplying 14739912 relations
  197. Thu Jun 13 17:54:29 2024 multiply complete, coefficients have about 786.54 million bits
  198. Thu Jun 13 17:54:31 2024 initial square root is modulo 11388389
  199. Thu Jun 13 17:59:23 2024 GCD is 1, no factor found
  200. Thu Jun 13 17:59:23 2024 reading relations for dependency 2
  201. Thu Jun 13 17:59:24 2024 read 3895189 cycles
  202. Thu Jun 13 17:59:30 2024 cycles contain 14745488 unique relations
  203. Thu Jun 13 18:02:40 2024 read 14745488 relations
  204. Thu Jun 13 18:03:35 2024 multiplying 14745488 relations
  205. Thu Jun 13 18:11:40 2024 multiply complete, coefficients have about 786.83 million bits
  206. Thu Jun 13 18:11:43 2024 initial square root is modulo 11455531
  207. Thu Jun 13 18:18:20 2024 sqrtTime: 2051
  208. Thu Jun 13 18:18:20 2024 p82 factor: 7181898947757500443777374778166686028210602952558163786268990771763616984254213861
  209. Thu Jun 13 18:18:20 2024 p85 factor: 3897413783539017696327576840363294100121400559122176747054291549093848574815079415839
  210. Thu Jun 13 18:18:20 2024 elapsed time 05:48:48
  211.  
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