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May 10th, 2024
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  1. Thu May 9 12:07:05 2024
  2. Thu May 9 12:07:05 2024
  3. Thu May 9 12:07:05 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 9 12:07:05 2024 random seeds: 4259decc 09a26ead
  5. Thu May 9 12:07:05 2024 Using 32 OpenMP threads
  6. Thu May 9 12:07:05 2024 factoring 4221131780503453976797607365175667535510415956945821918598736121115236491498386085836972469531435029606589565082760637798799689866781503137704315204604596100137389827 (166 digits)
  7. Thu May 9 12:07:06 2024 searching for 15-digit factors
  8. Thu May 9 12:07:07 2024 commencing number field sieve (166-digit input)
  9. Thu May 9 12:07:07 2024 R0: -197520584575008717283740461097377
  10. Thu May 9 12:07:07 2024 R1: 35442111238663009
  11. Thu May 9 12:07:07 2024 A0: -136977593282129156376981723587774052935400
  12. Thu May 9 12:07:07 2024 A1: -57677619712907990404799183845269798
  13. Thu May 9 12:07:07 2024 A2: 3543802117974181854483720017
  14. Thu May 9 12:07:07 2024 A3: 137517915486634277368
  15. Thu May 9 12:07:07 2024 A4: -1500618221232
  16. Thu May 9 12:07:07 2024 A5: 14040
  17. Thu May 9 12:07:07 2024 skew 35503307.15, size 4.124e-16, alpha -8.222, combined = 6.752e-13 rroots = 3
  18. Thu May 9 12:07:07 2024
  19. Thu May 9 12:07:07 2024 commencing relation filtering
  20. Thu May 9 12:07:07 2024 setting target matrix density to 130.0
  21. Thu May 9 12:07:07 2024 estimated available RAM is 515996.3 MB
  22. Thu May 9 12:07:07 2024 commencing duplicate removal, pass 1
  23. Thu May 9 12:07:34 2024 error -1 reading relation 10399499
  24. Thu May 9 12:08:11 2024 error -1 reading relation 29105679
  25. Thu May 9 12:08:14 2024 error -1 reading relation 30412103
  26. Thu May 9 12:10:07 2024 error -1 reading relation 87918338
  27. Thu May 9 12:10:15 2024 error -1 reading relation 91741255
  28. Thu May 9 12:10:24 2024 error -1 reading relation 96846806
  29. Thu May 9 12:11:28 2024 error -1 reading relation 130588608
  30. Thu May 9 12:11:30 2024 error -1 reading relation 131604836
  31. Thu May 9 12:11:33 2024 error -1 reading relation 133233671
  32. Thu May 9 12:12:19 2024 error -5 reading relation 155403358
  33. Thu May 9 12:12:19 2024 error -1 reading relation 155412358
  34. Thu May 9 12:12:19 2024 error -5 reading relation 155445688
  35. Thu May 9 12:12:20 2024 error -1 reading relation 155740681
  36. Thu May 9 12:12:50 2024 error -1 reading relation 168262127
  37. Thu May 9 12:12:53 2024 error -1 reading relation 169719518
  38. Thu May 9 12:13:00 2024 error -1 reading relation 172913357
  39. Thu May 9 12:13:01 2024 error -1 reading relation 173674069
  40. Thu May 9 12:13:06 2024 error -1 reading relation 175567034
  41. Thu May 9 12:14:26 2024 error -5 reading relation 221183118
  42. Thu May 9 12:14:43 2024 skipped 182 malformed relations
  43. Thu May 9 12:14:43 2024 found 45742856 hash collisions in 231530272 relations
  44. Thu May 9 12:15:05 2024 added 121978 free relations
  45. Thu May 9 12:15:05 2024 commencing duplicate removal, pass 2
  46. Thu May 9 12:19:43 2024 found 44177870 duplicates and 187474380 unique relations
  47. Thu May 9 12:19:43 2024 memory use: 1321.5 MB
  48. Thu May 9 12:19:43 2024 reading ideals above 720000
  49. Thu May 9 12:19:44 2024 commencing singleton removal, initial pass
  50. Thu May 9 12:30:43 2024 memory use: 5512.0 MB
  51. Thu May 9 12:30:43 2024 reading all ideals from disk
  52. Thu May 9 12:30:46 2024 memory use: 8510.0 MB
  53. Thu May 9 12:31:06 2024 keeping 189640286 ideals with weight <= 200, target excess is 998250
  54. Thu May 9 12:31:31 2024 commencing in-memory singleton removal
  55. Thu May 9 12:31:34 2024 begin with 187474380 relations and 189640286 unique ideals
  56. Thu May 9 12:31:49 2024 reduce to 82585130 relations and 70321953 ideals in 19 passes
  57. Thu May 9 12:31:49 2024 max relations containing the same ideal: 121
  58. Thu May 9 12:32:19 2024 removing 11972497 relations and 9972497 ideals in 2000000 cliques
  59. Thu May 9 12:32:23 2024 commencing in-memory singleton removal
  60. Thu May 9 12:32:24 2024 begin with 70612633 relations and 70321953 unique ideals
  61. Thu May 9 12:32:30 2024 reduce to 69334513 relations and 59033117 ideals in 11 passes
  62. Thu May 9 12:32:30 2024 max relations containing the same ideal: 110
  63. Thu May 9 12:32:59 2024 removing 9120533 relations and 7120533 ideals in 2000000 cliques
  64. Thu May 9 12:33:03 2024 commencing in-memory singleton removal
  65. Thu May 9 12:33:04 2024 begin with 60213980 relations and 59033117 unique ideals
  66. Thu May 9 12:33:08 2024 reduce to 59304983 relations and 50977785 ideals in 9 passes
  67. Thu May 9 12:33:08 2024 max relations containing the same ideal: 99
  68. Thu May 9 12:33:28 2024 removing 8270641 relations and 6270641 ideals in 2000000 cliques
  69. Thu May 9 12:33:31 2024 commencing in-memory singleton removal
  70. Thu May 9 12:33:32 2024 begin with 51034342 relations and 50977785 unique ideals
  71. Thu May 9 12:33:35 2024 reduce to 50171325 relations and 43817198 ideals in 8 passes
  72. Thu May 9 12:33:35 2024 max relations containing the same ideal: 88
  73. Thu May 9 12:33:53 2024 removing 7856037 relations and 5856037 ideals in 2000000 cliques
  74. Thu May 9 12:33:55 2024 commencing in-memory singleton removal
  75. Thu May 9 12:33:56 2024 begin with 42315288 relations and 43817198 unique ideals
  76. Thu May 9 12:33:59 2024 reduce to 41420508 relations and 37033902 ideals in 9 passes
  77. Thu May 9 12:33:59 2024 max relations containing the same ideal: 78
  78. Thu May 9 12:34:13 2024 removing 7604740 relations and 5604740 ideals in 2000000 cliques
  79. Thu May 9 12:34:16 2024 commencing in-memory singleton removal
  80. Thu May 9 12:34:16 2024 begin with 33815768 relations and 37033902 unique ideals
  81. Thu May 9 12:34:18 2024 reduce to 32825853 relations and 30396717 ideals in 10 passes
  82. Thu May 9 12:34:18 2024 max relations containing the same ideal: 66
  83. Thu May 9 12:34:30 2024 removing 5246448 relations and 3975283 ideals in 1271165 cliques
  84. Thu May 9 12:34:32 2024 commencing in-memory singleton removal
  85. Thu May 9 12:34:32 2024 begin with 27579405 relations and 30396717 unique ideals
  86. Thu May 9 12:34:34 2024 reduce to 27017089 relations and 25839477 ideals in 9 passes
  87. Thu May 9 12:34:34 2024 max relations containing the same ideal: 60
  88. Thu May 9 12:34:44 2024 removing 163441 relations and 143800 ideals in 19641 cliques
  89. Thu May 9 12:34:45 2024 commencing in-memory singleton removal
  90. Thu May 9 12:34:45 2024 begin with 26853648 relations and 25839477 unique ideals
  91. Thu May 9 12:34:46 2024 reduce to 26853093 relations and 25695121 ideals in 5 passes
  92. Thu May 9 12:34:46 2024 max relations containing the same ideal: 60
  93. Thu May 9 12:34:49 2024 relations with 0 large ideals: 3174
  94. Thu May 9 12:34:49 2024 relations with 1 large ideals: 40678
  95. Thu May 9 12:34:49 2024 relations with 2 large ideals: 474489
  96. Thu May 9 12:34:49 2024 relations with 3 large ideals: 2263380
  97. Thu May 9 12:34:49 2024 relations with 4 large ideals: 5567160
  98. Thu May 9 12:34:49 2024 relations with 5 large ideals: 7733310
  99. Thu May 9 12:34:49 2024 relations with 6 large ideals: 6426958
  100. Thu May 9 12:34:49 2024 relations with 7+ large ideals: 4343944
  101. Thu May 9 12:34:49 2024 commencing 2-way merge
  102. Thu May 9 12:35:02 2024 reduce to 16118760 relation sets and 14960788 unique ideals
  103. Thu May 9 12:35:02 2024 commencing full merge
  104. Thu May 9 12:39:24 2024 memory use: 1830.4 MB
  105. Thu May 9 12:39:26 2024 found 7069793 cycles, need 7008988
  106. Thu May 9 12:39:27 2024 weight of 7008988 cycles is about 911792476 (130.09/cycle)
  107. Thu May 9 12:39:27 2024 distribution of cycle lengths:
  108. Thu May 9 12:39:27 2024 1 relations: 263620
  109. Thu May 9 12:39:27 2024 2 relations: 391483
  110. Thu May 9 12:39:27 2024 3 relations: 458680
  111. Thu May 9 12:39:27 2024 4 relations: 475329
  112. Thu May 9 12:39:27 2024 5 relations: 489916
  113. Thu May 9 12:39:27 2024 6 relations: 486382
  114. Thu May 9 12:39:27 2024 7 relations: 475164
  115. Thu May 9 12:39:27 2024 8 relations: 459141
  116. Thu May 9 12:39:27 2024 9 relations: 436715
  117. Thu May 9 12:39:27 2024 10+ relations: 3072558
  118. Thu May 9 12:39:27 2024 heaviest cycle: 28 relations
  119. Thu May 9 12:39:29 2024 commencing cycle optimization
  120. Thu May 9 12:39:42 2024 start with 66094258 relations
  121. Thu May 9 12:41:42 2024 pruned 2805578 relations
  122. Thu May 9 12:41:42 2024 memory use: 1771.5 MB
  123. Thu May 9 12:41:42 2024 distribution of cycle lengths:
  124. Thu May 9 12:41:42 2024 1 relations: 263620
  125. Thu May 9 12:41:42 2024 2 relations: 401969
  126. Thu May 9 12:41:42 2024 3 relations: 478265
  127. Thu May 9 12:41:42 2024 4 relations: 494593
  128. Thu May 9 12:41:42 2024 5 relations: 513189
  129. Thu May 9 12:41:42 2024 6 relations: 507946
  130. Thu May 9 12:41:42 2024 7 relations: 497389
  131. Thu May 9 12:41:42 2024 8 relations: 479638
  132. Thu May 9 12:41:42 2024 9 relations: 456287
  133. Thu May 9 12:41:42 2024 10+ relations: 2916092
  134. Thu May 9 12:41:42 2024 heaviest cycle: 28 relations
  135. Thu May 9 12:41:51 2024 RelProcTime: 2084
  136. Thu May 9 12:41:51 2024 elapsed time 00:34:46
  137. Thu May 9 13:40:06 2024
  138. Thu May 9 13:40:06 2024
  139. Thu May 9 13:40:06 2024 Msieve v. 1.54 (SVN Unversioned directory)
  140. Thu May 9 13:40:06 2024 random seeds: 8d14b473 8a152355
  141. Thu May 9 13:40:06 2024 Using 64 OpenMP threads
  142. Thu May 9 13:40:06 2024 factoring 4221131780503453976797607365175667535510415956945821918598736121115236491498386085836972469531435029606589565082760637798799689866781503137704315204604596100137389827 (166 digits)
  143. Thu May 9 13:40:07 2024 searching for 15-digit factors
  144. Thu May 9 13:40:08 2024 commencing number field sieve (166-digit input)
  145. Thu May 9 13:40:08 2024 R0: -197520584575008717283740461097377
  146. Thu May 9 13:40:08 2024 R1: 35442111238663009
  147. Thu May 9 13:40:08 2024 A0: -136977593282129156376981723587774052935400
  148. Thu May 9 13:40:08 2024 A1: -57677619712907990404799183845269798
  149. Thu May 9 13:40:08 2024 A2: 3543802117974181854483720017
  150. Thu May 9 13:40:08 2024 A3: 137517915486634277368
  151. Thu May 9 13:40:08 2024 A4: -1500618221232
  152. Thu May 9 13:40:08 2024 A5: 14040
  153. Thu May 9 13:40:08 2024 skew 35503307.15, size 4.124e-16, alpha -8.222, combined = 6.752e-13 rroots = 3
  154. Thu May 9 13:40:08 2024
  155. Thu May 9 13:40:08 2024 commencing linear algebra
  156. Thu May 9 13:40:08 2024 using VBITS=256
  157. Thu May 9 13:40:10 2024 read 7008988 cycles
  158. Thu May 9 13:40:28 2024 cycles contain 26100751 unique relations
  159. Thu May 9 13:44:46 2024 read 26100751 relations
  160. Thu May 9 13:44:49 2024 using 20 quadratic characters above 4294917295
  161. Thu May 9 13:44:52 2024 building initial matrix
  162. Thu May 9 13:50:22 2024 memory use: 3603.7 MB
  163. Thu May 9 13:50:26 2024 read 7008988 cycles
  164. Thu May 9 13:50:27 2024 matrix is 7008810 x 7008988 (3561.4 MB) with weight 1088629040 (155.32/col)
  165. Thu May 9 13:50:27 2024 sparse part has weight 849478996 (121.20/col)
  166. Thu May 9 13:51:51 2024 filtering completed in 2 passes
  167. Thu May 9 13:51:52 2024 matrix is 7008375 x 7008552 (3561.3 MB) with weight 1088602807 (155.32/col)
  168. Thu May 9 13:51:52 2024 sparse part has weight 849468719 (121.20/col)
  169. Thu May 9 13:52:15 2024 matrix starts at (0, 0)
  170. Thu May 9 13:52:16 2024 matrix is 7008375 x 7008552 (3561.3 MB) with weight 1088602807 (155.32/col)
  171. Thu May 9 13:52:16 2024 sparse part has weight 849468719 (121.20/col)
  172. Thu May 9 13:52:16 2024 saving the first 240 matrix rows for later
  173. Thu May 9 13:52:17 2024 matrix includes 256 packed rows
  174. Thu May 9 13:52:20 2024 matrix is 7008135 x 7008552 (3199.3 MB) with weight 778102695 (111.02/col)
  175. Thu May 9 13:52:20 2024 sparse part has weight 726540596 (103.66/col)
  176. Thu May 9 13:52:20 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  177. Thu May 9 13:52:35 2024 commencing Lanczos iteration (64 threads)
  178. Thu May 9 13:52:35 2024 memory use: 4281.8 MB
  179. Thu May 9 13:53:43 2024 linear algebra at 0.4%, ETA 4h14m
  180. Thu May 9 13:55:20 2024 checking every 20000 dimensions, checkpointing every 1700000 dimensions
  181. Thu May 9 17:58:15 2024 lanczos halted after 27459 iterations (dim = 7008132)
  182. Thu May 9 17:58:48 2024 recovered 27 nontrivial dependencies
  183. Thu May 9 17:58:48 2024 BLanczosTime: 15520
  184. Thu May 9 17:58:48 2024
  185. Thu May 9 17:58:48 2024 commencing square root phase
  186. Thu May 9 17:58:48 2024 reading relations for dependency 1
  187. Thu May 9 17:58:49 2024 read 3502829 cycles
  188. Thu May 9 17:58:54 2024 cycles contain 13045092 unique relations
  189. Thu May 9 18:02:10 2024 read 13045092 relations
  190. Thu May 9 18:02:54 2024 multiplying 13045092 relations
  191. Thu May 9 18:08:21 2024 multiply complete, coefficients have about 677.54 million bits
  192. Thu May 9 18:08:22 2024 initial square root is modulo 1198447
  193. Thu May 9 18:11:52 2024 GCD is N, no factor found
  194. Thu May 9 18:11:52 2024 reading relations for dependency 2
  195. Thu May 9 18:11:53 2024 read 3504664 cycles
  196. Thu May 9 18:11:58 2024 cycles contain 13047198 unique relations
  197. Thu May 9 18:15:13 2024 read 13047198 relations
  198. Thu May 9 18:15:55 2024 multiplying 13047198 relations
  199. Thu May 9 18:21:23 2024 multiply complete, coefficients have about 677.64 million bits
  200. Thu May 9 18:21:25 2024 initial square root is modulo 1201001
  201. Thu May 9 18:24:55 2024 sqrtTime: 1567
  202. Thu May 9 18:24:55 2024 p82 factor: 9167150736944520771343528682406523555973893017605198696388714829530495544246687853
  203. Thu May 9 18:24:55 2024 p84 factor: 460462787362258260318761705392610031294748873611992374928966400051788007730300960559
  204. Thu May 9 18:24:55 2024 elapsed time 04:44:49
  205.  
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