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May 4th, 2024
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  1. Sat May 4 15:17:17 2024
  2. Sat May 4 15:17:17 2024
  3. Sat May 4 15:17:17 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 4 15:17:17 2024 random seeds: 2351313b d29b8efd
  5. Sat May 4 15:17:17 2024 Using 32 OpenMP threads
  6. Sat May 4 15:17:17 2024 factoring 654060618732325530144764491161905897924829174511038209408090081239297533760140544737945569195524514918007714103962975458803161242971075153186346030219861904100757 (162 digits)
  7. Sat May 4 15:17:17 2024 searching for 15-digit factors
  8. Sat May 4 15:17:17 2024 commencing number field sieve (162-digit input)
  9. Sat May 4 15:17:17 2024 R0: -33588093604004849323272778813528
  10. Sat May 4 15:17:17 2024 R1: 135490515688131761
  11. Sat May 4 15:17:17 2024 A0: -15767990161699191796273964811607135886715
  12. Sat May 4 15:17:17 2024 A1: 1857754391042148777277822862626620
  13. Sat May 4 15:17:17 2024 A2: 742334253707182614249529301
  14. Sat May 4 15:17:17 2024 A3: 19360321812905815408
  15. Sat May 4 15:17:17 2024 A4: -1781928291258
  16. Sat May 4 15:17:17 2024 A5: 15300
  17. Sat May 4 15:17:17 2024 skew 20562216.27, size 9.018e-16, alpha -6.948, combined = 1.051e-12 rroots = 5
  18. Sat May 4 15:17:17 2024
  19. Sat May 4 15:17:17 2024 commencing relation filtering
  20. Sat May 4 15:17:17 2024 setting target matrix density to 130.0
  21. Sat May 4 15:17:17 2024 estimated available RAM is 515996.3 MB
  22. Sat May 4 15:17:17 2024 commencing duplicate removal, pass 1
  23. Sat May 4 15:19:09 2024 error -1 reading relation 80078848
  24. Sat May 4 15:19:34 2024 error -1 reading relation 97776857
  25. Sat May 4 15:19:48 2024 error -1 reading relation 107432817
  26. Sat May 4 15:19:49 2024 error -15 reading relation 108621010
  27. Sat May 4 15:19:50 2024 error -15 reading relation 108746070
  28. Sat May 4 15:20:00 2024 error -1 reading relation 116028712
  29. Sat May 4 15:20:00 2024 skipped 2 relations with composite factors
  30. Sat May 4 15:20:00 2024 skipped 98 malformed relations
  31. Sat May 4 15:20:00 2024 found 22228635 hash collisions in 116394437 relations
  32. Sat May 4 15:20:22 2024 added 121974 free relations
  33. Sat May 4 15:20:22 2024 commencing duplicate removal, pass 2
  34. Sat May 4 15:22:28 2024 found 21521578 duplicates and 94994833 unique relations
  35. Sat May 4 15:22:28 2024 memory use: 660.8 MB
  36. Sat May 4 15:22:28 2024 reading ideals above 720000
  37. Sat May 4 15:22:28 2024 commencing singleton removal, initial pass
  38. Sat May 4 15:26:47 2024 memory use: 2756.0 MB
  39. Sat May 4 15:26:47 2024 reading all ideals from disk
  40. Sat May 4 15:26:49 2024 memory use: 4280.2 MB
  41. Sat May 4 15:26:57 2024 keeping 88870322 ideals with weight <= 200, target excess is 494693
  42. Sat May 4 15:27:07 2024 commencing in-memory singleton removal
  43. Sat May 4 15:27:09 2024 begin with 94994833 relations and 88870322 unique ideals
  44. Sat May 4 15:27:15 2024 reduce to 58661460 relations and 48563217 ideals in 14 passes
  45. Sat May 4 15:27:15 2024 max relations containing the same ideal: 154
  46. Sat May 4 15:27:34 2024 removing 5670633 relations and 4670633 ideals in 1000000 cliques
  47. Sat May 4 15:27:37 2024 commencing in-memory singleton removal
  48. Sat May 4 15:27:38 2024 begin with 52990827 relations and 48563217 unique ideals
  49. Sat May 4 15:27:40 2024 reduce to 52592050 relations and 43485410 ideals in 8 passes
  50. Sat May 4 15:27:40 2024 max relations containing the same ideal: 143
  51. Sat May 4 15:27:58 2024 removing 4311142 relations and 3311142 ideals in 1000000 cliques
  52. Sat May 4 15:28:00 2024 commencing in-memory singleton removal
  53. Sat May 4 15:28:00 2024 begin with 48280908 relations and 43485410 unique ideals
  54. Sat May 4 15:28:03 2024 reduce to 48011985 relations and 39900267 ideals in 7 passes
  55. Sat May 4 15:28:03 2024 max relations containing the same ideal: 137
  56. Sat May 4 15:28:18 2024 removing 3903179 relations and 2903179 ideals in 1000000 cliques
  57. Sat May 4 15:28:20 2024 commencing in-memory singleton removal
  58. Sat May 4 15:28:21 2024 begin with 44108806 relations and 39900267 unique ideals
  59. Sat May 4 15:28:23 2024 reduce to 43867958 relations and 36751713 ideals in 8 passes
  60. Sat May 4 15:28:23 2024 max relations containing the same ideal: 126
  61. Sat May 4 15:28:38 2024 removing 3701077 relations and 2701077 ideals in 1000000 cliques
  62. Sat May 4 15:28:40 2024 commencing in-memory singleton removal
  63. Sat May 4 15:28:41 2024 begin with 40166881 relations and 36751713 unique ideals
  64. Sat May 4 15:28:42 2024 reduce to 39937411 relations and 33816515 ideals in 7 passes
  65. Sat May 4 15:28:42 2024 max relations containing the same ideal: 120
  66. Sat May 4 15:28:56 2024 removing 3574446 relations and 2574446 ideals in 1000000 cliques
  67. Sat May 4 15:28:57 2024 commencing in-memory singleton removal
  68. Sat May 4 15:28:58 2024 begin with 36362965 relations and 33816515 unique ideals
  69. Sat May 4 15:28:59 2024 reduce to 36133290 relations and 31007505 ideals in 8 passes
  70. Sat May 4 15:28:59 2024 max relations containing the same ideal: 113
  71. Sat May 4 15:29:11 2024 removing 3493367 relations and 2493367 ideals in 1000000 cliques
  72. Sat May 4 15:29:13 2024 commencing in-memory singleton removal
  73. Sat May 4 15:29:13 2024 begin with 32639923 relations and 31007505 unique ideals
  74. Sat May 4 15:29:15 2024 reduce to 32403327 relations and 28272025 ideals in 8 passes
  75. Sat May 4 15:29:15 2024 max relations containing the same ideal: 104
  76. Sat May 4 15:29:26 2024 removing 3438316 relations and 2438316 ideals in 1000000 cliques
  77. Sat May 4 15:29:27 2024 commencing in-memory singleton removal
  78. Sat May 4 15:29:28 2024 begin with 28965011 relations and 28272025 unique ideals
  79. Sat May 4 15:29:29 2024 reduce to 28716659 relations and 25578924 ideals in 7 passes
  80. Sat May 4 15:29:29 2024 max relations containing the same ideal: 98
  81. Sat May 4 15:29:39 2024 removing 3401139 relations and 2401139 ideals in 1000000 cliques
  82. Sat May 4 15:29:40 2024 commencing in-memory singleton removal
  83. Sat May 4 15:29:40 2024 begin with 25315520 relations and 25578924 unique ideals
  84. Sat May 4 15:29:41 2024 reduce to 25045343 relations and 22899846 ideals in 7 passes
  85. Sat May 4 15:29:41 2024 max relations containing the same ideal: 88
  86. Sat May 4 15:29:50 2024 removing 3381094 relations and 2381094 ideals in 1000000 cliques
  87. Sat May 4 15:29:51 2024 commencing in-memory singleton removal
  88. Sat May 4 15:29:51 2024 begin with 21664249 relations and 22899846 unique ideals
  89. Sat May 4 15:29:52 2024 reduce to 21359776 relations and 20203999 ideals in 8 passes
  90. Sat May 4 15:29:52 2024 max relations containing the same ideal: 77
  91. Sat May 4 15:30:00 2024 removing 2185475 relations and 1603542 ideals in 581933 cliques
  92. Sat May 4 15:30:01 2024 commencing in-memory singleton removal
  93. Sat May 4 15:30:01 2024 begin with 19174301 relations and 20203999 unique ideals
  94. Sat May 4 15:30:01 2024 reduce to 19027448 relations and 18450111 ideals in 7 passes
  95. Sat May 4 15:30:01 2024 max relations containing the same ideal: 70
  96. Sat May 4 15:30:10 2024 relations with 0 large ideals: 1608
  97. Sat May 4 15:30:10 2024 relations with 1 large ideals: 8496
  98. Sat May 4 15:30:10 2024 relations with 2 large ideals: 119097
  99. Sat May 4 15:30:10 2024 relations with 3 large ideals: 730721
  100. Sat May 4 15:30:10 2024 relations with 4 large ideals: 2361719
  101. Sat May 4 15:30:10 2024 relations with 5 large ideals: 4484242
  102. Sat May 4 15:30:10 2024 relations with 6 large ideals: 5262794
  103. Sat May 4 15:30:10 2024 relations with 7+ large ideals: 6058771
  104. Sat May 4 15:30:10 2024 commencing 2-way merge
  105. Sat May 4 15:30:20 2024 reduce to 12454326 relation sets and 11876989 unique ideals
  106. Sat May 4 15:30:20 2024 commencing full merge
  107. Sat May 4 15:34:11 2024 memory use: 1532.5 MB
  108. Sat May 4 15:34:12 2024 found 5482211 cycles, need 5457189
  109. Sat May 4 15:34:14 2024 weight of 5457189 cycles is about 709614223 (130.03/cycle)
  110. Sat May 4 15:34:14 2024 distribution of cycle lengths:
  111. Sat May 4 15:34:14 2024 1 relations: 142902
  112. Sat May 4 15:34:14 2024 2 relations: 283053
  113. Sat May 4 15:34:14 2024 3 relations: 350372
  114. Sat May 4 15:34:14 2024 4 relations: 371492
  115. Sat May 4 15:34:14 2024 5 relations: 389590
  116. Sat May 4 15:34:14 2024 6 relations: 389903
  117. Sat May 4 15:34:14 2024 7 relations: 385971
  118. Sat May 4 15:34:14 2024 8 relations: 375662
  119. Sat May 4 15:34:14 2024 9 relations: 358615
  120. Sat May 4 15:34:14 2024 10+ relations: 2409629
  121. Sat May 4 15:34:14 2024 heaviest cycle: 28 relations
  122. Sat May 4 15:34:15 2024 commencing cycle optimization
  123. Sat May 4 15:34:24 2024 start with 51752674 relations
  124. Sat May 4 15:36:03 2024 pruned 2636344 relations
  125. Sat May 4 15:36:03 2024 memory use: 1319.8 MB
  126. Sat May 4 15:36:03 2024 distribution of cycle lengths:
  127. Sat May 4 15:36:03 2024 1 relations: 142902
  128. Sat May 4 15:36:03 2024 2 relations: 291950
  129. Sat May 4 15:36:03 2024 3 relations: 367251
  130. Sat May 4 15:36:03 2024 4 relations: 389492
  131. Sat May 4 15:36:03 2024 5 relations: 411463
  132. Sat May 4 15:36:03 2024 6 relations: 411346
  133. Sat May 4 15:36:03 2024 7 relations: 409406
  134. Sat May 4 15:36:03 2024 8 relations: 396531
  135. Sat May 4 15:36:03 2024 9 relations: 377501
  136. Sat May 4 15:36:03 2024 10+ relations: 2259347
  137. Sat May 4 15:36:03 2024 heaviest cycle: 28 relations
  138. Sat May 4 15:36:09 2024 RelProcTime: 1132
  139. Sat May 4 15:36:09 2024 elapsed time 00:18:52
  140. Sat May 4 15:48:40 2024
  141. Sat May 4 15:48:40 2024
  142. Sat May 4 15:48:40 2024 Msieve v. 1.54 (SVN Unversioned directory)
  143. Sat May 4 15:48:40 2024 random seeds: 02d9204b 48da9029
  144. Sat May 4 15:48:40 2024 Using 64 OpenMP threads
  145. Sat May 4 15:48:40 2024 factoring 654060618732325530144764491161905897924829174511038209408090081239297533760140544737945569195524514918007714103962975458803161242971075153186346030219861904100757 (162 digits)
  146. Sat May 4 15:48:41 2024 searching for 15-digit factors
  147. Sat May 4 15:48:41 2024 commencing number field sieve (162-digit input)
  148. Sat May 4 15:48:41 2024 R0: -33588093604004849323272778813528
  149. Sat May 4 15:48:41 2024 R1: 135490515688131761
  150. Sat May 4 15:48:41 2024 A0: -15767990161699191796273964811607135886715
  151. Sat May 4 15:48:41 2024 A1: 1857754391042148777277822862626620
  152. Sat May 4 15:48:41 2024 A2: 742334253707182614249529301
  153. Sat May 4 15:48:41 2024 A3: 19360321812905815408
  154. Sat May 4 15:48:41 2024 A4: -1781928291258
  155. Sat May 4 15:48:41 2024 A5: 15300
  156. Sat May 4 15:48:41 2024 skew 20562216.27, size 9.018e-16, alpha -6.948, combined = 1.051e-12 rroots = 5
  157. Sat May 4 15:48:41 2024
  158. Sat May 4 15:48:41 2024 commencing linear algebra
  159. Sat May 4 15:48:41 2024 using VBITS=256
  160. Sat May 4 15:48:42 2024 read 5457189 cycles
  161. Sat May 4 15:48:50 2024 cycles contain 18707135 unique relations
  162. Sat May 4 15:50:37 2024 read 18707135 relations
  163. Sat May 4 15:50:39 2024 using 20 quadratic characters above 4294917295
  164. Sat May 4 15:50:42 2024 building initial matrix
  165. Sat May 4 15:54:29 2024 memory use: 2613.1 MB
  166. Sat May 4 15:54:32 2024 read 5457189 cycles
  167. Sat May 4 15:54:33 2024 matrix is 5457010 x 5457189 (2740.6 MB) with weight 834976054 (153.00/col)
  168. Sat May 4 15:54:33 2024 sparse part has weight 652940960 (119.65/col)
  169. Sat May 4 15:55:34 2024 filtering completed in 2 passes
  170. Sat May 4 15:55:36 2024 matrix is 5456950 x 5457128 (2740.6 MB) with weight 834972861 (153.01/col)
  171. Sat May 4 15:55:36 2024 sparse part has weight 652939792 (119.65/col)
  172. Sat May 4 15:55:55 2024 matrix starts at (0, 0)
  173. Sat May 4 15:55:57 2024 matrix is 5456950 x 5457128 (2740.6 MB) with weight 834972861 (153.01/col)
  174. Sat May 4 15:55:57 2024 sparse part has weight 652939792 (119.65/col)
  175. Sat May 4 15:55:57 2024 saving the first 240 matrix rows for later
  176. Sat May 4 15:55:59 2024 matrix includes 256 packed rows
  177. Sat May 4 15:56:02 2024 matrix is 5456710 x 5457128 (2466.9 MB) with weight 598486433 (109.67/col)
  178. Sat May 4 15:56:02 2024 sparse part has weight 559371411 (102.50/col)
  179. Sat May 4 15:56:02 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  180. Sat May 4 15:56:20 2024 commencing Lanczos iteration (64 threads)
  181. Sat May 4 15:56:20 2024 memory use: 3310.2 MB
  182. Sat May 4 15:58:49 2024 linear algebra at 0.6%, ETA 7h13m
  183. Sat May 4 16:00:03 2024 checking every 20000 dimensions, checkpointing every 1260000 dimensions
  184. Sat May 4 18:25:02 2024 lanczos halted after 21381 iterations (dim = 5456710)
  185. Sat May 4 18:25:20 2024 recovered 30 nontrivial dependencies
  186. Sat May 4 18:25:20 2024 BLanczosTime: 9399
  187. Sat May 4 18:25:20 2024
  188. Sat May 4 18:25:20 2024 commencing square root phase
  189. Sat May 4 18:25:20 2024 reading relations for dependency 1
  190. Sat May 4 18:25:20 2024 read 2729100 cycles
  191. Sat May 4 18:25:24 2024 cycles contain 9355962 unique relations
  192. Sat May 4 18:26:58 2024 read 9355962 relations
  193. Sat May 4 18:27:27 2024 multiplying 9355962 relations
  194. Sat May 4 18:31:00 2024 multiply complete, coefficients have about 483.92 million bits
  195. Sat May 4 18:31:01 2024 initial square root is modulo 482095771
  196. Sat May 4 18:33:26 2024 sqrtTime: 486
  197. Sat May 4 18:33:26 2024 p55 factor: 8030523654380317296980577844311131858913690090561655637
  198. Sat May 4 18:33:26 2024 p107 factor: 81446820516562778997854261740409983294888621607229893449401320277489258865971809065983373765235413384253761
  199. Sat May 4 18:33:26 2024 elapsed time 02:44:46
  200.  
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