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May 30th, 2024
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  1. Thu May 30 01:33:35 2024
  2. Thu May 30 01:33:35 2024
  3. Thu May 30 01:33:35 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 30 01:33:35 2024 random seeds: e327f16f 1dc0822a
  5. Thu May 30 01:33:35 2024 Using 32 OpenMP threads
  6. Thu May 30 01:33:35 2024 factoring 8157308673464494825749840842198925475157004498292760858885127100732517988405466999525142940833309800321517804097584711072639921858542996639753841323007964489395150731943 (169 digits)
  7. Thu May 30 01:33:36 2024 searching for 15-digit factors
  8. Thu May 30 01:33:36 2024 commencing number field sieve (169-digit input)
  9. Thu May 30 01:33:36 2024 R0: -910724828701876551711959983356392
  10. Thu May 30 01:33:36 2024 R1: 310300051613915539
  11. Thu May 30 01:33:36 2024 A0: -4148046437065461852178936022306176667468715
  12. Thu May 30 01:33:36 2024 A1: 739942458508438551442459087613691177
  13. Thu May 30 01:33:36 2024 A2: -23424470812708409197667657509
  14. Thu May 30 01:33:36 2024 A3: -514631391099812121385
  15. Thu May 30 01:33:36 2024 A4: 2510045945972
  16. Thu May 30 01:33:36 2024 A5: 13020
  17. Thu May 30 01:33:36 2024 skew 78705658.73, size 1.671e-16, alpha -7.732, combined = 3.854e-13 rroots = 5
  18. Thu May 30 01:33:36 2024
  19. Thu May 30 01:33:36 2024 commencing relation filtering
  20. Thu May 30 01:33:36 2024 setting target matrix density to 120.0
  21. Thu May 30 01:33:36 2024 estimated available RAM is 515996.3 MB
  22. Thu May 30 01:33:36 2024 commencing duplicate removal, pass 1
  23. Thu May 30 01:33:47 2024 error -1 reading relation 7231251
  24. Thu May 30 01:33:47 2024 error -1 reading relation 7240922
  25. Thu May 30 01:33:52 2024 error -1 reading relation 10265634
  26. Thu May 30 01:34:36 2024 error -1 reading relation 39999027
  27. Thu May 30 01:34:37 2024 error -1 reading relation 40777074
  28. Thu May 30 01:34:45 2024 error -1 reading relation 45914866
  29. Thu May 30 01:35:07 2024 error -1 reading relation 61822146
  30. Thu May 30 01:35:25 2024 error -1 reading relation 73943942
  31. Thu May 30 01:36:24 2024 error -1 reading relation 115441583
  32. Thu May 30 01:36:31 2024 error -1 reading relation 119997703
  33. Thu May 30 01:36:58 2024 error -1 reading relation 139287008
  34. Thu May 30 01:37:00 2024 error -1 reading relation 140648248
  35. Thu May 30 01:37:09 2024 error -1 reading relation 146713188
  36. Thu May 30 01:37:51 2024 error -1 reading relation 175680920
  37. Thu May 30 01:37:51 2024 error -15 reading relation 175921268
  38. Thu May 30 01:37:52 2024 error -15 reading relation 176160111
  39. Thu May 30 01:37:52 2024 error -15 reading relation 176739868
  40. Thu May 30 01:38:28 2024 error -1 reading relation 200957885
  41. Thu May 30 01:38:31 2024 error -1 reading relation 203250410
  42. Thu May 30 01:40:12 2024 error -15 reading relation 277171626
  43. Thu May 30 01:40:37 2024 skipped 2 relations with composite factors
  44. Thu May 30 01:40:37 2024 skipped 145 malformed relations
  45. Thu May 30 01:40:37 2024 found 67628354 hash collisions in 295911188 relations
  46. Thu May 30 01:40:58 2024 commencing duplicate removal, pass 2
  47. Thu May 30 01:46:48 2024 found 74453863 duplicates and 221457325 unique relations
  48. Thu May 30 01:46:48 2024 memory use: 1705.5 MB
  49. Thu May 30 01:46:48 2024 reading ideals above 720000
  50. Thu May 30 01:46:48 2024 commencing singleton removal, initial pass
  51. Thu May 30 01:57:43 2024 memory use: 6024.0 MB
  52. Thu May 30 01:57:44 2024 reading all ideals from disk
  53. Thu May 30 01:57:48 2024 memory use: 10279.0 MB
  54. Thu May 30 01:58:13 2024 keeping 224242925 ideals with weight <= 200, target excess is 1100347
  55. Thu May 30 01:58:42 2024 commencing in-memory singleton removal
  56. Thu May 30 01:58:45 2024 begin with 221457325 relations and 224242925 unique ideals
  57. Thu May 30 01:59:02 2024 reduce to 109714120 relations and 97447370 ideals in 18 passes
  58. Thu May 30 01:59:02 2024 max relations containing the same ideal: 130
  59. Thu May 30 01:59:46 2024 removing 13399716 relations and 11399716 ideals in 2000000 cliques
  60. Thu May 30 01:59:51 2024 commencing in-memory singleton removal
  61. Thu May 30 01:59:53 2024 begin with 96314404 relations and 97447370 unique ideals
  62. Thu May 30 01:59:58 2024 reduce to 94968822 relations and 84669899 ideals in 10 passes
  63. Thu May 30 01:59:58 2024 max relations containing the same ideal: 121
  64. Thu May 30 02:00:33 2024 removing 10296072 relations and 8296072 ideals in 2000000 cliques
  65. Thu May 30 02:00:37 2024 commencing in-memory singleton removal
  66. Thu May 30 02:00:38 2024 begin with 84672750 relations and 84669899 unique ideals
  67. Thu May 30 02:00:43 2024 reduce to 83720138 relations and 75400334 ideals in 9 passes
  68. Thu May 30 02:00:43 2024 max relations containing the same ideal: 110
  69. Thu May 30 02:01:14 2024 removing 9403406 relations and 7403406 ideals in 2000000 cliques
  70. Thu May 30 02:01:18 2024 commencing in-memory singleton removal
  71. Thu May 30 02:01:19 2024 begin with 74316732 relations and 75400334 unique ideals
  72. Thu May 30 02:01:23 2024 reduce to 73400247 relations and 67059537 ideals in 10 passes
  73. Thu May 30 02:01:23 2024 max relations containing the same ideal: 101
  74. Thu May 30 02:01:50 2024 removing 9018953 relations and 7018953 ideals in 2000000 cliques
  75. Thu May 30 02:01:54 2024 commencing in-memory singleton removal
  76. Thu May 30 02:01:55 2024 begin with 64381294 relations and 67059537 unique ideals
  77. Thu May 30 02:01:57 2024 reduce to 63414867 relations and 59049771 ideals in 9 passes
  78. Thu May 30 02:01:57 2024 max relations containing the same ideal: 91
  79. Thu May 30 02:02:23 2024 removing 8855814 relations and 6855814 ideals in 2000000 cliques
  80. Thu May 30 02:02:26 2024 commencing in-memory singleton removal
  81. Thu May 30 02:02:27 2024 begin with 54559053 relations and 59049771 unique ideals
  82. Thu May 30 02:02:30 2024 reduce to 53461874 relations and 51065314 ideals in 11 passes
  83. Thu May 30 02:02:30 2024 max relations containing the same ideal: 81
  84. Thu May 30 02:02:52 2024 removing 5702632 relations and 4582475 ideals in 1120157 cliques
  85. Thu May 30 02:02:55 2024 commencing in-memory singleton removal
  86. Thu May 30 02:02:55 2024 begin with 47759242 relations and 51065314 unique ideals
  87. Thu May 30 02:02:57 2024 reduce to 47252587 relations and 45966587 ideals in 9 passes
  88. Thu May 30 02:02:57 2024 max relations containing the same ideal: 77
  89. Thu May 30 02:03:15 2024 removing 102721 relations and 93124 ideals in 9597 cliques
  90. Thu May 30 02:03:17 2024 commencing in-memory singleton removal
  91. Thu May 30 02:03:17 2024 begin with 47149866 relations and 45966587 unique ideals
  92. Thu May 30 02:03:18 2024 reduce to 47149714 relations and 45873311 ideals in 4 passes
  93. Thu May 30 02:03:18 2024 max relations containing the same ideal: 77
  94. Thu May 30 02:03:23 2024 relations with 0 large ideals: 4012
  95. Thu May 30 02:03:23 2024 relations with 1 large ideals: 30677
  96. Thu May 30 02:03:23 2024 relations with 2 large ideals: 408850
  97. Thu May 30 02:03:23 2024 relations with 3 large ideals: 2311303
  98. Thu May 30 02:03:23 2024 relations with 4 large ideals: 6957146
  99. Thu May 30 02:03:23 2024 relations with 5 large ideals: 12229612
  100. Thu May 30 02:03:23 2024 relations with 6 large ideals: 13030410
  101. Thu May 30 02:03:23 2024 relations with 7+ large ideals: 12177704
  102. Thu May 30 02:03:23 2024 commencing 2-way merge
  103. Thu May 30 02:03:49 2024 reduce to 28139945 relation sets and 26863542 unique ideals
  104. Thu May 30 02:03:49 2024 commencing full merge
  105. Thu May 30 02:11:34 2024 memory use: 3134.9 MB
  106. Thu May 30 02:11:36 2024 found 12166057 cycles, need 12147742
  107. Thu May 30 02:11:39 2024 weight of 12147742 cycles is about 1457797164 (120.01/cycle)
  108. Thu May 30 02:11:39 2024 distribution of cycle lengths:
  109. Thu May 30 02:11:39 2024 1 relations: 914152
  110. Thu May 30 02:11:39 2024 2 relations: 883567
  111. Thu May 30 02:11:39 2024 3 relations: 890267
  112. Thu May 30 02:11:39 2024 4 relations: 860273
  113. Thu May 30 02:11:39 2024 5 relations: 841556
  114. Thu May 30 02:11:39 2024 6 relations: 804225
  115. Thu May 30 02:11:39 2024 7 relations: 765125
  116. Thu May 30 02:11:39 2024 8 relations: 726402
  117. Thu May 30 02:11:39 2024 9 relations: 683047
  118. Thu May 30 02:11:39 2024 10+ relations: 4779128
  119. Thu May 30 02:11:39 2024 heaviest cycle: 28 relations
  120. Thu May 30 02:11:41 2024 commencing cycle optimization
  121. Thu May 30 02:12:02 2024 start with 106748040 relations
  122. Thu May 30 02:15:06 2024 pruned 3926332 relations
  123. Thu May 30 02:15:06 2024 memory use: 3002.2 MB
  124. Thu May 30 02:15:06 2024 distribution of cycle lengths:
  125. Thu May 30 02:15:06 2024 1 relations: 914152
  126. Thu May 30 02:15:06 2024 2 relations: 905451
  127. Thu May 30 02:15:06 2024 3 relations: 924579
  128. Thu May 30 02:15:06 2024 4 relations: 888886
  129. Thu May 30 02:15:06 2024 5 relations: 873829
  130. Thu May 30 02:15:06 2024 6 relations: 831953
  131. Thu May 30 02:15:06 2024 7 relations: 793105
  132. Thu May 30 02:15:06 2024 8 relations: 749898
  133. Thu May 30 02:15:06 2024 9 relations: 703873
  134. Thu May 30 02:15:06 2024 10+ relations: 4562016
  135. Thu May 30 02:15:06 2024 heaviest cycle: 28 relations
  136. Thu May 30 02:15:21 2024 RelProcTime: 2505
  137. Thu May 30 02:15:21 2024 elapsed time 00:41:46
  138. Thu May 30 02:17:11 2024
  139. Thu May 30 02:17:11 2024
  140. Thu May 30 02:17:11 2024 Msieve v. 1.54 (SVN Unversioned directory)
  141. Thu May 30 02:17:11 2024 random seeds: 0dbaaf01 cdf0ea21
  142. Thu May 30 02:17:11 2024 Using 64 OpenMP threads
  143. Thu May 30 02:17:11 2024 factoring 8157308673464494825749840842198925475157004498292760858885127100732517988405466999525142940833309800321517804097584711072639921858542996639753841323007964489395150731943 (169 digits)
  144. Thu May 30 02:17:12 2024 searching for 15-digit factors
  145. Thu May 30 02:17:12 2024 commencing number field sieve (169-digit input)
  146. Thu May 30 02:17:12 2024 R0: -910724828701876551711959983356392
  147. Thu May 30 02:17:12 2024 R1: 310300051613915539
  148. Thu May 30 02:17:12 2024 A0: -4148046437065461852178936022306176667468715
  149. Thu May 30 02:17:12 2024 A1: 739942458508438551442459087613691177
  150. Thu May 30 02:17:12 2024 A2: -23424470812708409197667657509
  151. Thu May 30 02:17:12 2024 A3: -514631391099812121385
  152. Thu May 30 02:17:12 2024 A4: 2510045945972
  153. Thu May 30 02:17:12 2024 A5: 13020
  154. Thu May 30 02:17:12 2024 skew 78705658.73, size 1.671e-16, alpha -7.732, combined = 3.854e-13 rroots = 5
  155. Thu May 30 02:17:12 2024
  156. Thu May 30 02:17:12 2024 commencing linear algebra
  157. Thu May 30 02:17:12 2024 using VBITS=256
  158. Thu May 30 02:17:13 2024 read 12147742 cycles
  159. Thu May 30 02:17:33 2024 cycles contain 46149477 unique relations
  160. Thu May 30 02:21:50 2024 read 46149477 relations
  161. Thu May 30 02:21:53 2024 using 20 quadratic characters above 4294917295
  162. Thu May 30 02:21:57 2024 building initial matrix
  163. Thu May 30 02:29:52 2024 memory use: 6342.9 MB
  164. Thu May 30 02:29:58 2024 read 12147742 cycles
  165. Thu May 30 02:30:00 2024 matrix is 12147565 x 12147742 (5774.8 MB) with weight 1771557257 (145.83/col)
  166. Thu May 30 02:30:00 2024 sparse part has weight 1368052592 (112.62/col)
  167. Thu May 30 02:32:34 2024 filtering completed in 2 passes
  168. Thu May 30 02:32:36 2024 matrix is 12146968 x 12147145 (5774.7 MB) with weight 1771528134 (145.84/col)
  169. Thu May 30 02:32:36 2024 sparse part has weight 1368045469 (112.62/col)
  170. Thu May 30 02:33:17 2024 matrix starts at (0, 0)
  171. Thu May 30 02:33:18 2024 matrix is 12146968 x 12147145 (5774.7 MB) with weight 1771528134 (145.84/col)
  172. Thu May 30 02:33:18 2024 sparse part has weight 1368045469 (112.62/col)
  173. Thu May 30 02:33:18 2024 saving the first 240 matrix rows for later
  174. Thu May 30 02:33:21 2024 matrix includes 256 packed rows
  175. Thu May 30 02:33:25 2024 matrix is 12146728 x 12147145 (5204.2 MB) with weight 1248149570 (102.75/col)
  176. Thu May 30 02:33:25 2024 sparse part has weight 1169908454 (96.31/col)
  177. Thu May 30 02:33:25 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  178. Thu May 30 02:33:49 2024 commencing Lanczos iteration (64 threads)
  179. Thu May 30 02:33:49 2024 memory use: 7148.2 MB
  180. Thu May 30 02:35:51 2024 linear algebra at 0.3%, ETA 13h11m
  181. Thu May 30 02:38:46 2024 checking every 10000 dimensions, checkpointing every 950000 dimensions
  182. Thu May 30 15:16:45 2024 lanczos halted after 47592 iterations (dim = 12146728)
  183. Thu May 30 15:17:26 2024 recovered 32 nontrivial dependencies
  184. Thu May 30 15:17:27 2024 BLanczosTime: 46815
  185. Thu May 30 15:17:27 2024
  186. Thu May 30 15:17:27 2024 commencing square root phase
  187. Thu May 30 15:17:27 2024 reading relations for dependency 1
  188. Thu May 30 15:17:28 2024 read 6072684 cycles
  189. Thu May 30 15:17:38 2024 cycles contain 23073238 unique relations
  190. Thu May 30 15:21:48 2024 read 23073238 relations
  191. Thu May 30 15:23:09 2024 multiplying 23073238 relations
  192. Thu May 30 15:38:55 2024 multiply complete, coefficients have about 1216.52 million bits
  193. Thu May 30 15:38:59 2024 initial square root is modulo 286421
  194. Thu May 30 15:49:18 2024 sqrtTime: 1911
  195. Thu May 30 15:49:18 2024 p52 factor: 2316231916642725600901899265423283675275830063300661
  196. Thu May 30 15:49:18 2024 p118 factor: 3521801342452852610491667032483866526741629811359321950852514638086801146345139359057144453083833295022247528025072363
  197. Thu May 30 15:49:18 2024 elapsed time 13:32:07
  198.  
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