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Jun 24th, 2025
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  1. Mon Jun 23 14:21:15 2025
  2. Mon Jun 23 14:21:15 2025
  3. Mon Jun 23 14:21:15 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jun 23 14:21:15 2025 random seeds: b0d19bcf c09fee28
  5. Mon Jun 23 14:21:15 2025 MPI process 0 of 1
  6. Mon Jun 23 14:21:15 2025 Using 64 OpenMP threads
  7. Mon Jun 23 14:21:15 2025 factoring 85312385419891865444059734527845059035148447749456240514262300083910833541693535484120010916343236341270839416730463099601985281314158233758915325964246690613447 (161 digits)
  8. Mon Jun 23 14:21:16 2025 searching for 15-digit factors
  9. Mon Jun 23 14:21:16 2025 commencing number field sieve (161-digit input)
  10. Mon Jun 23 14:21:16 2025 R0: -12534693858269518071415034974293
  11. Mon Jun 23 14:21:16 2025 R1: 497232534127229860958141
  12. Mon Jun 23 14:21:16 2025 A0: -32577534122763047977581312405105247280
  13. Mon Jun 23 14:21:16 2025 A1: 49736804460246830672265609038678
  14. Mon Jun 23 14:21:16 2025 A2: 9701207533931804934912427
  15. Mon Jun 23 14:21:16 2025 A3: -23359486759550289173
  16. Mon Jun 23 14:21:16 2025 A4: -4376238063902
  17. Mon Jun 23 14:21:16 2025 A5: 761040
  18. Mon Jun 23 14:21:16 2025 skew 2517312.48, size 1.393e-15, alpha -6.637, combined = 1.390e-12 rroots = 5
  19. Mon Jun 23 14:21:16 2025
  20. Mon Jun 23 14:21:16 2025 commencing relation filtering
  21. Mon Jun 23 14:21:16 2025 setting target matrix density to 130.0
  22. Mon Jun 23 14:21:16 2025 estimated available RAM is 257736.5 MB
  23. Mon Jun 23 14:21:16 2025 commencing duplicate removal, pass 1
  24. Mon Jun 23 14:21:27 2025 error -1 reading relation 5934482
  25. Mon Jun 23 14:22:05 2025 error -1 reading relation 26867345
  26. Mon Jun 23 14:22:06 2025 error -1 reading relation 27002522
  27. Mon Jun 23 14:22:20 2025 error -1 reading relation 34573500
  28. Mon Jun 23 14:22:57 2025 error -1 reading relation 55895584
  29. Mon Jun 23 14:23:00 2025 error -15 reading relation 57152179
  30. Mon Jun 23 14:23:20 2025 error -1 reading relation 66548337
  31. Mon Jun 23 14:23:27 2025 error -1 reading relation 69801946
  32. Mon Jun 23 14:23:58 2025 error -1 reading relation 85616346
  33. Mon Jun 23 14:24:15 2025 error -15 reading relation 94784690
  34. Mon Jun 23 14:24:32 2025 error -1 reading relation 103525134
  35. Mon Jun 23 14:24:39 2025 error -1 reading relation 107360164
  36. Mon Jun 23 14:24:50 2025 skipped 83 malformed relations
  37. Mon Jun 23 14:24:50 2025 found 17660623 hash collisions in 112850449 relations
  38. Mon Jun 23 14:25:13 2025 added 121987 free relations
  39. Mon Jun 23 14:25:13 2025 commencing duplicate removal, pass 2
  40. Mon Jun 23 14:27:27 2025 found 17484096 duplicates and 95488340 unique relations
  41. Mon Jun 23 14:27:27 2025 memory use: 554.4 MB
  42. Mon Jun 23 14:27:27 2025 reading ideals above 720000
  43. Mon Jun 23 14:27:27 2025 commencing singleton removal, initial pass
  44. Mon Jun 23 14:32:19 2025 memory use: 2756.0 MB
  45. Mon Jun 23 14:32:19 2025 reading all ideals from disk
  46. Mon Jun 23 14:32:21 2025 memory use: 4294.0 MB
  47. Mon Jun 23 14:32:30 2025 keeping 88721516 ideals with weight <= 200, target excess is 497971
  48. Mon Jun 23 14:32:41 2025 commencing in-memory singleton removal
  49. Mon Jun 23 14:32:42 2025 begin with 95488340 relations and 88721516 unique ideals
  50. Mon Jun 23 14:32:48 2025 reduce to 59092962 relations and 48342851 ideals in 15 passes
  51. Mon Jun 23 14:32:48 2025 max relations containing the same ideal: 151
  52. Mon Jun 23 14:33:10 2025 removing 9062365 relations and 7062365 ideals in 2000000 cliques
  53. Mon Jun 23 14:33:12 2025 commencing in-memory singleton removal
  54. Mon Jun 23 14:33:13 2025 begin with 50030597 relations and 48342851 unique ideals
  55. Mon Jun 23 14:33:16 2025 reduce to 48962209 relations and 40168370 ideals in 10 passes
  56. Mon Jun 23 14:33:16 2025 max relations containing the same ideal: 134
  57. Mon Jun 23 14:33:33 2025 removing 7137219 relations and 5137219 ideals in 2000000 cliques
  58. Mon Jun 23 14:33:35 2025 commencing in-memory singleton removal
  59. Mon Jun 23 14:33:36 2025 begin with 41824990 relations and 40168370 unique ideals
  60. Mon Jun 23 14:33:38 2025 reduce to 41041024 relations and 34215997 ideals in 9 passes
  61. Mon Jun 23 14:33:38 2025 max relations containing the same ideal: 120
  62. Mon Jun 23 14:33:52 2025 removing 6614062 relations and 4614062 ideals in 2000000 cliques
  63. Mon Jun 23 14:33:55 2025 commencing in-memory singleton removal
  64. Mon Jun 23 14:33:55 2025 begin with 34426962 relations and 34215997 unique ideals
  65. Mon Jun 23 14:33:56 2025 reduce to 33671231 relations and 28812397 ideals in 8 passes
  66. Mon Jun 23 14:33:56 2025 max relations containing the same ideal: 107
  67. Mon Jun 23 14:34:09 2025 removing 6364716 relations and 4364716 ideals in 2000000 cliques
  68. Mon Jun 23 14:34:11 2025 commencing in-memory singleton removal
  69. Mon Jun 23 14:34:11 2025 begin with 27306515 relations and 28812397 unique ideals
  70. Mon Jun 23 14:34:12 2025 reduce to 26495900 relations and 23593898 ideals in 9 passes
  71. Mon Jun 23 14:34:12 2025 max relations containing the same ideal: 93
  72. Mon Jun 23 14:34:22 2025 removing 6210744 relations and 4210744 ideals in 2000000 cliques
  73. Mon Jun 23 14:34:24 2025 commencing in-memory singleton removal
  74. Mon Jun 23 14:34:24 2025 begin with 20285156 relations and 23593898 unique ideals
  75. Mon Jun 23 14:34:25 2025 reduce to 19341453 relations and 18375526 ideals in 10 passes
  76. Mon Jun 23 14:34:25 2025 max relations containing the same ideal: 75
  77. Mon Jun 23 14:34:33 2025 removing 1698513 relations and 1310233 ideals in 388280 cliques
  78. Mon Jun 23 14:34:34 2025 commencing in-memory singleton removal
  79. Mon Jun 23 14:34:34 2025 begin with 17642940 relations and 18375526 unique ideals
  80. Mon Jun 23 14:34:34 2025 reduce to 17544005 relations and 16964574 ideals in 7 passes
  81. Mon Jun 23 14:34:34 2025 max relations containing the same ideal: 67
  82. Mon Jun 23 14:34:43 2025 relations with 0 large ideals: 1626
  83. Mon Jun 23 14:34:43 2025 relations with 1 large ideals: 8900
  84. Mon Jun 23 14:34:43 2025 relations with 2 large ideals: 121124
  85. Mon Jun 23 14:34:43 2025 relations with 3 large ideals: 725871
  86. Mon Jun 23 14:34:43 2025 relations with 4 large ideals: 2299105
  87. Mon Jun 23 14:34:43 2025 relations with 5 large ideals: 4249422
  88. Mon Jun 23 14:34:43 2025 relations with 6 large ideals: 4837825
  89. Mon Jun 23 14:34:43 2025 relations with 7+ large ideals: 5300132
  90. Mon Jun 23 14:34:43 2025 commencing 2-way merge
  91. Mon Jun 23 14:34:52 2025 reduce to 11336006 relation sets and 10756575 unique ideals
  92. Mon Jun 23 14:34:52 2025 commencing full merge
  93. Mon Jun 23 14:38:41 2025 memory use: 1416.5 MB
  94. Mon Jun 23 14:38:42 2025 found 5020925 cycles, need 4996775
  95. Mon Jun 23 14:38:43 2025 weight of 4996775 cycles is about 649690518 (130.02/cycle)
  96. Mon Jun 23 14:38:43 2025 distribution of cycle lengths:
  97. Mon Jun 23 14:38:43 2025 1 relations: 127117
  98. Mon Jun 23 14:38:43 2025 2 relations: 257573
  99. Mon Jun 23 14:38:43 2025 3 relations: 321488
  100. Mon Jun 23 14:38:43 2025 4 relations: 340603
  101. Mon Jun 23 14:38:43 2025 5 relations: 355321
  102. Mon Jun 23 14:38:43 2025 6 relations: 354812
  103. Mon Jun 23 14:38:43 2025 7 relations: 352669
  104. Mon Jun 23 14:38:43 2025 8 relations: 342504
  105. Mon Jun 23 14:38:43 2025 9 relations: 326756
  106. Mon Jun 23 14:38:43 2025 10+ relations: 2217932
  107. Mon Jun 23 14:38:43 2025 heaviest cycle: 28 relations
  108. Mon Jun 23 14:38:44 2025 commencing cycle optimization
  109. Mon Jun 23 14:38:53 2025 start with 47635630 relations
  110. Mon Jun 23 14:40:27 2025 pruned 2400552 relations
  111. Mon Jun 23 14:40:27 2025 memory use: 1215.5 MB
  112. Mon Jun 23 14:40:27 2025 distribution of cycle lengths:
  113. Mon Jun 23 14:40:27 2025 1 relations: 127117
  114. Mon Jun 23 14:40:27 2025 2 relations: 265209
  115. Mon Jun 23 14:40:27 2025 3 relations: 336676
  116. Mon Jun 23 14:40:27 2025 4 relations: 357062
  117. Mon Jun 23 14:40:27 2025 5 relations: 375412
  118. Mon Jun 23 14:40:27 2025 6 relations: 374732
  119. Mon Jun 23 14:40:27 2025 7 relations: 372755
  120. Mon Jun 23 14:40:27 2025 8 relations: 361893
  121. Mon Jun 23 14:40:27 2025 9 relations: 344456
  122. Mon Jun 23 14:40:27 2025 10+ relations: 2081463
  123. Mon Jun 23 14:40:27 2025 heaviest cycle: 28 relations
  124. Mon Jun 23 14:40:34 2025 RelProcTime: 1158
  125. Mon Jun 23 14:40:34 2025
  126. Mon Jun 23 14:40:34 2025 commencing linear algebra
  127. Mon Jun 23 14:40:34 2025 using VBITS=256
  128. Mon Jun 23 14:40:34 2025 initialized process (0,0) of 1 x 1 grid
  129. Mon Jun 23 14:40:34 2025 read 4996775 cycles
  130. Mon Jun 23 14:40:43 2025 cycles contain 17223344 unique relations
  131. Mon Jun 23 14:42:26 2025 read 17223344 relations
  132. Mon Jun 23 14:42:27 2025 using 20 quadratic characters above 4294917295
  133. Mon Jun 23 14:42:29 2025 building initial matrix
  134. Mon Jun 23 14:45:54 2025 memory use: 2357.6 MB
  135. Mon Jun 23 14:45:58 2025 read 4996775 cycles
  136. Mon Jun 23 14:45:58 2025 matrix is 4996598 x 4996775 (2499.8 MB) with weight 764886821 (153.08/col)
  137. Mon Jun 23 14:45:58 2025 sparse part has weight 600338237 (120.15/col)
  138. Mon Jun 23 14:46:53 2025 filtering completed in 2 passes
  139. Mon Jun 23 14:46:54 2025 matrix is 4996528 x 4996705 (2499.8 MB) with weight 764883068 (153.08/col)
  140. Mon Jun 23 14:46:54 2025 sparse part has weight 600336950 (120.15/col)
  141. Mon Jun 23 14:47:23 2025 matrix starts at (0, 0)
  142. Mon Jun 23 14:47:24 2025 matrix is 4996528 x 4996705 (2499.8 MB) with weight 764883068 (153.08/col)
  143. Mon Jun 23 14:47:24 2025 sparse part has weight 600336950 (120.15/col)
  144. Mon Jun 23 14:47:24 2025 saving the first 240 matrix rows for later
  145. Mon Jun 23 14:47:25 2025 matrix includes 256 packed rows
  146. Mon Jun 23 14:47:26 2025 matrix is 4996288 x 4996705 (2257.1 MB) with weight 546259712 (109.32/col)
  147. Mon Jun 23 14:47:26 2025 sparse part has weight 511742071 (102.42/col)
  148. Mon Jun 23 14:47:26 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  149. Mon Jun 23 14:47:38 2025 commencing Lanczos iteration (64 threads)
  150. Mon Jun 23 14:47:38 2025 memory use: 3184.0 MB
  151. Mon Jun 23 14:48:44 2025 linear algebra at 0.6%, ETA 2h52m
  152. Mon Jun 23 14:49:49 2025 checking every 30000 dimensions, checkpointing every 2160000 dimensions
  153. Mon Jun 23 16:43:54 2025 lanczos halted after 19577 iterations (dim = 4996288)
  154. Mon Jun 23 16:44:11 2025 recovered 29 nontrivial dependencies
  155. Mon Jun 23 16:44:11 2025 BLanczosTime: 7417
  156. Mon Jun 23 16:44:11 2025
  157. Mon Jun 23 16:44:11 2025 commencing square root phase
  158. Mon Jun 23 16:44:11 2025 handling dependencies 1 to 64
  159. Mon Jun 23 16:44:11 2025 reading relations for dependency 1
  160. Mon Jun 23 16:44:12 2025 read 2497396 cycles
  161. Mon Jun 23 16:44:16 2025 cycles contain 8612016 unique relations
  162. Mon Jun 23 16:45:50 2025 read 8612016 relations
  163. Mon Jun 23 16:46:18 2025 multiplying 8612016 relations
  164. Mon Jun 23 16:47:06 2025 multiply complete, coefficients have about 478.51 million bits
  165. Mon Jun 23 16:47:08 2025 initial square root is modulo 385461767
  166. Mon Jun 23 16:50:32 2025 sqrtTime: 381
  167. Mon Jun 23 16:50:32 2025 p48 factor: 679164487448960221679140416200298879011793728171
  168. Mon Jun 23 16:50:32 2025 p114 factor: 125613731277878633844998684280565708444329441596776886508468394792256742304716302262824296773718020970765857628757
  169. Mon Jun 23 16:50:32 2025 elapsed time 02:29:17
  170.  
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