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May 9th, 2025
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  1. Thu May 8 09:54:00 2025
  2. Thu May 8 09:54:00 2025
  3. Thu May 8 09:54:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 8 09:54:00 2025 random seeds: e4da7958 8c42f3a5
  5. Thu May 8 09:54:00 2025 MPI process 0 of 1
  6. Thu May 8 09:54:00 2025 Using 32 OpenMP threads
  7. Thu May 8 09:54:00 2025 factoring 1131729608719425827188101313227898486301734255909856701344771337946512742211588798007293595346750661758805467131552262780743991510147791036757962550586733616088408557 (166 digits)
  8. Thu May 8 09:54:01 2025 searching for 15-digit factors
  9. Thu May 8 09:54:02 2025 commencing number field sieve (166-digit input)
  10. Thu May 8 09:54:02 2025 R0: -76551535108908977761849581930936
  11. Thu May 8 09:54:02 2025 R1: 11533645700821849
  12. Thu May 8 09:54:02 2025 A0: 107993710717207715944135985771752531892765
  13. Thu May 8 09:54:02 2025 A1: 25455839077605589801509715063275249
  14. Thu May 8 09:54:02 2025 A2: -1575879581421006149871234787
  15. Thu May 8 09:54:02 2025 A3: -313035598062086171331
  16. Thu May 8 09:54:02 2025 A4: 11031235342088
  17. Thu May 8 09:54:02 2025 A5: 430500
  18. Thu May 8 09:54:02 2025 skew 14750574.72, size 3.898e-16, alpha -7.479, combined = 6.392e-13 rroots = 5
  19. Thu May 8 09:54:02 2025
  20. Thu May 8 09:54:02 2025 commencing relation filtering
  21. Thu May 8 09:54:02 2025 setting target matrix density to 120.0
  22. Thu May 8 09:54:02 2025 estimated available RAM is 257736.5 MB
  23. Thu May 8 09:54:02 2025 commencing duplicate removal, pass 1
  24. Thu May 8 09:57:21 2025 error -1 reading relation 81439059
  25. Thu May 8 09:59:38 2025 error -1 reading relation 138272548
  26. Thu May 8 09:59:39 2025 error -1 reading relation 138412078
  27. Thu May 8 10:01:03 2025 error -15 reading relation 173359165
  28. Thu May 8 10:01:53 2025 error -1 reading relation 194062600
  29. Thu May 8 10:02:42 2025 error -1 reading relation 214186342
  30. Thu May 8 10:03:50 2025 error -1 reading relation 242970959
  31. Thu May 8 10:04:12 2025 error -1 reading relation 252647585
  32. Thu May 8 10:04:14 2025 error -1 reading relation 253635519
  33. Thu May 8 10:05:15 2025 error -1 reading relation 278786404
  34. Thu May 8 10:05:17 2025 error -1 reading relation 279344285
  35. Thu May 8 10:05:29 2025 skipped 109 malformed relations
  36. Thu May 8 10:05:29 2025 found 58404567 hash collisions in 284595496 relations
  37. Thu May 8 10:05:54 2025 added 121972 free relations
  38. Thu May 8 10:05:54 2025 commencing duplicate removal, pass 2
  39. Thu May 8 10:12:03 2025 found 57642677 duplicates and 227074791 unique relations
  40. Thu May 8 10:12:03 2025 memory use: 1449.5 MB
  41. Thu May 8 10:12:03 2025 reading ideals above 720000
  42. Thu May 8 10:12:03 2025 commencing singleton removal, initial pass
  43. Thu May 8 10:32:17 2025 memory use: 6024.0 MB
  44. Thu May 8 10:32:17 2025 reading all ideals from disk
  45. Thu May 8 10:32:22 2025 memory use: 10427.8 MB
  46. Thu May 8 10:32:53 2025 keeping 223900937 ideals with weight <= 200, target excess is 1106780
  47. Thu May 8 10:33:31 2025 commencing in-memory singleton removal
  48. Thu May 8 10:33:36 2025 begin with 227074791 relations and 223900937 unique ideals
  49. Thu May 8 10:33:57 2025 reduce to 117249338 relations and 99649506 ideals in 18 passes
  50. Thu May 8 10:33:57 2025 max relations containing the same ideal: 134
  51. Thu May 8 10:34:56 2025 removing 12611551 relations and 10611551 ideals in 2000000 cliques
  52. Thu May 8 10:35:01 2025 commencing in-memory singleton removal
  53. Thu May 8 10:35:04 2025 begin with 104637787 relations and 99649506 unique ideals
  54. Thu May 8 10:35:11 2025 reduce to 103575148 relations and 87951775 ideals in 9 passes
  55. Thu May 8 10:35:11 2025 max relations containing the same ideal: 124
  56. Thu May 8 10:36:04 2025 removing 9613239 relations and 7613239 ideals in 2000000 cliques
  57. Thu May 8 10:36:08 2025 commencing in-memory singleton removal
  58. Thu May 8 10:36:10 2025 begin with 93961909 relations and 87951775 unique ideals
  59. Thu May 8 10:36:16 2025 reduce to 93230666 relations and 79592970 ideals in 9 passes
  60. Thu May 8 10:36:16 2025 max relations containing the same ideal: 115
  61. Thu May 8 10:37:09 2025 removing 8724144 relations and 6724144 ideals in 2000000 cliques
  62. Thu May 8 10:37:13 2025 commencing in-memory singleton removal
  63. Thu May 8 10:37:15 2025 begin with 84506522 relations and 79592970 unique ideals
  64. Thu May 8 10:37:20 2025 reduce to 83834049 relations and 72182667 ideals in 8 passes
  65. Thu May 8 10:37:20 2025 max relations containing the same ideal: 107
  66. Thu May 8 10:38:02 2025 removing 8300027 relations and 6300027 ideals in 2000000 cliques
  67. Thu May 8 10:38:06 2025 commencing in-memory singleton removal
  68. Thu May 8 10:38:07 2025 begin with 75534022 relations and 72182667 unique ideals
  69. Thu May 8 10:38:13 2025 reduce to 74857573 relations and 65191474 ideals in 10 passes
  70. Thu May 8 10:38:13 2025 max relations containing the same ideal: 100
  71. Thu May 8 10:39:01 2025 removing 8068261 relations and 6068261 ideals in 2000000 cliques
  72. Thu May 8 10:39:06 2025 commencing in-memory singleton removal
  73. Thu May 8 10:39:07 2025 begin with 66789312 relations and 65191474 unique ideals
  74. Thu May 8 10:39:11 2025 reduce to 66076428 relations and 58393124 ideals in 8 passes
  75. Thu May 8 10:39:11 2025 max relations containing the same ideal: 94
  76. Thu May 8 10:39:43 2025 removing 7967157 relations and 5967157 ideals in 2000000 cliques
  77. Thu May 8 10:39:46 2025 commencing in-memory singleton removal
  78. Thu May 8 10:39:47 2025 begin with 58109271 relations and 58393124 unique ideals
  79. Thu May 8 10:39:51 2025 reduce to 57318084 relations and 51613588 ideals in 10 passes
  80. Thu May 8 10:39:51 2025 max relations containing the same ideal: 83
  81. Thu May 8 10:40:22 2025 removing 7941809 relations and 5941809 ideals in 2000000 cliques
  82. Thu May 8 10:40:25 2025 commencing in-memory singleton removal
  83. Thu May 8 10:40:26 2025 begin with 49376275 relations and 51613588 unique ideals
  84. Thu May 8 10:40:29 2025 reduce to 48459839 relations and 44726996 ideals in 9 passes
  85. Thu May 8 10:40:29 2025 max relations containing the same ideal: 74
  86. Thu May 8 10:40:54 2025 removing 8013369 relations and 6013369 ideals in 2000000 cliques
  87. Thu May 8 10:40:57 2025 commencing in-memory singleton removal
  88. Thu May 8 10:40:57 2025 begin with 40446470 relations and 44726996 unique ideals
  89. Thu May 8 10:41:00 2025 reduce to 39308411 relations and 37534071 ideals in 10 passes
  90. Thu May 8 10:41:00 2025 max relations containing the same ideal: 64
  91. Thu May 8 10:41:22 2025 removing 2808227 relations and 2317752 ideals in 490475 cliques
  92. Thu May 8 10:41:24 2025 commencing in-memory singleton removal
  93. Thu May 8 10:41:25 2025 begin with 36500184 relations and 37534071 unique ideals
  94. Thu May 8 10:41:27 2025 reduce to 36349226 relations and 35063616 ideals in 9 passes
  95. Thu May 8 10:41:27 2025 max relations containing the same ideal: 63
  96. Thu May 8 10:41:51 2025 relations with 0 large ideals: 3963
  97. Thu May 8 10:41:51 2025 relations with 1 large ideals: 36606
  98. Thu May 8 10:41:51 2025 relations with 2 large ideals: 458525
  99. Thu May 8 10:41:51 2025 relations with 3 large ideals: 2369020
  100. Thu May 8 10:41:51 2025 relations with 4 large ideals: 6432221
  101. Thu May 8 10:41:51 2025 relations with 5 large ideals: 10084426
  102. Thu May 8 10:41:51 2025 relations with 6 large ideals: 9509445
  103. Thu May 8 10:41:51 2025 relations with 7+ large ideals: 7455020
  104. Thu May 8 10:41:51 2025 commencing 2-way merge
  105. Thu May 8 10:42:15 2025 reduce to 21553999 relation sets and 20268389 unique ideals
  106. Thu May 8 10:42:16 2025 commencing full merge
  107. Thu May 8 10:50:26 2025 memory use: 2403.3 MB
  108. Thu May 8 10:50:28 2025 found 9320107 cycles, need 9258589
  109. Thu May 8 10:50:31 2025 weight of 9258589 cycles is about 1111135091 (120.01/cycle)
  110. Thu May 8 10:50:31 2025 distribution of cycle lengths:
  111. Thu May 8 10:50:31 2025 1 relations: 684921
  112. Thu May 8 10:50:31 2025 2 relations: 632341
  113. Thu May 8 10:50:31 2025 3 relations: 636216
  114. Thu May 8 10:50:31 2025 4 relations: 616201
  115. Thu May 8 10:50:31 2025 5 relations: 619966
  116. Thu May 8 10:50:31 2025 6 relations: 593759
  117. Thu May 8 10:50:31 2025 7 relations: 586413
  118. Thu May 8 10:50:31 2025 8 relations: 556790
  119. Thu May 8 10:50:31 2025 9 relations: 535441
  120. Thu May 8 10:50:31 2025 10+ relations: 3796541
  121. Thu May 8 10:50:31 2025 heaviest cycle: 28 relations
  122. Thu May 8 10:50:34 2025 commencing cycle optimization
  123. Thu May 8 10:50:53 2025 start with 82745670 relations
  124. Thu May 8 10:54:00 2025 pruned 3186471 relations
  125. Thu May 8 10:54:00 2025 memory use: 2311.6 MB
  126. Thu May 8 10:54:00 2025 distribution of cycle lengths:
  127. Thu May 8 10:54:00 2025 1 relations: 684921
  128. Thu May 8 10:54:00 2025 2 relations: 647966
  129. Thu May 8 10:54:00 2025 3 relations: 659809
  130. Thu May 8 10:54:00 2025 4 relations: 637504
  131. Thu May 8 10:54:00 2025 5 relations: 644643
  132. Thu May 8 10:54:00 2025 6 relations: 616771
  133. Thu May 8 10:54:00 2025 7 relations: 610457
  134. Thu May 8 10:54:00 2025 8 relations: 579252
  135. Thu May 8 10:54:00 2025 9 relations: 555153
  136. Thu May 8 10:54:00 2025 10+ relations: 3622113
  137. Thu May 8 10:54:00 2025 heaviest cycle: 28 relations
  138. Thu May 8 10:54:17 2025 RelProcTime: 3615
  139. Thu May 8 10:54:17 2025
  140. Thu May 8 10:54:17 2025 commencing linear algebra
  141. Thu May 8 10:54:17 2025 using VBITS=256
  142. Thu May 8 10:54:17 2025 stopping after matrix build
  143. Thu May 8 10:54:17 2025 initialized process (0,0) of 1 x 1 grid
  144. Thu May 8 10:54:18 2025 read 9258589 cycles
  145. Thu May 8 10:54:35 2025 cycles contain 35428507 unique relations
  146. Thu May 8 10:59:28 2025 read 35428507 relations
  147. Thu May 8 10:59:32 2025 using 20 quadratic characters above 4294917295
  148. Thu May 8 10:59:38 2025 building initial matrix
  149. Thu May 8 11:07:04 2025 memory use: 4640.1 MB
  150. Thu May 8 11:07:12 2025 read 9258589 cycles
  151. Thu May 8 11:07:13 2025 matrix is 9258408 x 9258589 (4383.5 MB) with weight 1330697410 (143.73/col)
  152. Thu May 8 11:07:13 2025 sparse part has weight 1038009279 (112.11/col)
  153. Thu May 8 11:09:39 2025 filtering completed in 2 passes
  154. Thu May 8 11:09:42 2025 matrix is 9257525 x 9257706 (4383.4 MB) with weight 1330651787 (143.73/col)
  155. Thu May 8 11:09:42 2025 sparse part has weight 1037994027 (112.12/col)
  156. Thu May 8 11:10:42 2025 BLanczosTime: 985
  157. Thu May 8 11:10:42 2025 elapsed time 01:16:42
  158. Thu May 8 17:01:33 2025
  159. Thu May 8 17:01:33 2025
  160. Thu May 8 17:01:33 2025 Msieve v. 1.54 (SVN Unversioned directory)
  161. Thu May 8 17:01:33 2025 random seeds: 459d99c1 d48a83e0
  162. Thu May 8 17:01:33 2025 Using 96 OpenMP threads
  163. Thu May 8 17:01:33 2025 factoring 1131729608719425827188101313227898486301734255909856701344771337946512742211588798007293595346750661758805467131552262780743991510147791036757962550586733616088408557 (166 digits)
  164. Thu May 8 17:01:34 2025 searching for 15-digit factors
  165. Thu May 8 17:01:34 2025 commencing number field sieve (166-digit input)
  166. Thu May 8 17:01:34 2025 R0: -76551535108908977761849581930936
  167. Thu May 8 17:01:34 2025 R1: 11533645700821849
  168. Thu May 8 17:01:34 2025 A0: 107993710717207715944135985771752531892765
  169. Thu May 8 17:01:34 2025 A1: 25455839077605589801509715063275249
  170. Thu May 8 17:01:34 2025 A2: -1575879581421006149871234787
  171. Thu May 8 17:01:34 2025 A3: -313035598062086171331
  172. Thu May 8 17:01:34 2025 A4: 11031235342088
  173. Thu May 8 17:01:34 2025 A5: 430500
  174. Thu May 8 17:01:34 2025 skew 14750574.72, size 3.898e-16, alpha -7.479, combined = 6.392e-13 rroots = 5
  175. Thu May 8 17:01:34 2025
  176. Thu May 8 17:01:34 2025 commencing linear algebra
  177. Thu May 8 17:01:34 2025 using VBITS=256
  178. Thu May 8 17:01:34 2025 skipping matrix build
  179. Thu May 8 17:01:38 2025 matrix starts at (0, 0)
  180. Thu May 8 17:01:41 2025 matrix is 9257525 x 9257706 (4383.4 MB) with weight 1330651787 (143.73/col)
  181. Thu May 8 17:01:41 2025 sparse part has weight 1037994027 (112.12/col)
  182. Thu May 8 17:01:41 2025 saving the first 240 matrix rows for later
  183. Thu May 8 17:01:43 2025 matrix includes 256 packed rows
  184. Thu May 8 17:01:48 2025 matrix is 9257285 x 9257706 (3967.8 MB) with weight 950201889 (102.64/col)
  185. Thu May 8 17:01:48 2025 sparse part has weight 892011263 (96.35/col)
  186. Thu May 8 17:01:48 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  187. Thu May 8 17:02:22 2025 commencing Lanczos iteration (96 threads)
  188. Thu May 8 17:02:22 2025 memory use: 5446.8 MB
  189. Thu May 8 17:03:32 2025 linear algebra at 0.3%, ETA 5h36m
  190. Thu May 8 17:05:04 2025 checking every 20000 dimensions, checkpointing every 1740000 dimensions
  191. Thu May 8 22:09:54 2025 lanczos halted after 36271 iterations (dim = 9257285)
  192. Thu May 8 22:10:27 2025 recovered 30 nontrivial dependencies
  193. Thu May 8 22:10:28 2025 BLanczosTime: 18534
  194. Thu May 8 22:10:28 2025
  195. Thu May 8 22:10:28 2025 commencing square root phase
  196. Thu May 8 22:10:28 2025 handling dependencies 1 to 64
  197. Thu May 8 22:10:28 2025 reading relations for dependency 1
  198. Thu May 8 22:10:28 2025 read 4626766 cycles
  199. Thu May 8 22:10:37 2025 cycles contain 17708098 unique relations
  200. Thu May 8 22:15:37 2025 read 17708098 relations
  201. Thu May 8 22:17:19 2025 multiplying 17708098 relations
  202. Thu May 8 22:29:20 2025 multiply complete, coefficients have about 986.93 million bits
  203. Thu May 8 22:29:24 2025 initial square root is modulo 714847873
  204. Thu May 8 22:38:29 2025 GCD is 1, no factor found
  205. Thu May 8 22:38:29 2025 reading relations for dependency 2
  206. Thu May 8 22:38:30 2025 read 4629162 cycles
  207. Thu May 8 22:38:46 2025 cycles contain 17712216 unique relations
  208. Thu May 8 22:43:44 2025 read 17712216 relations
  209. Thu May 8 22:45:15 2025 multiplying 17712216 relations
  210. Thu May 8 22:57:30 2025 multiply complete, coefficients have about 987.16 million bits
  211. Thu May 8 22:57:34 2025 initial square root is modulo 718258621
  212. Thu May 8 23:06:27 2025 sqrtTime: 3359
  213. Thu May 8 23:06:27 2025 p59 factor: 13600219300234683492885882665750047401740526308831216811571
  214. Thu May 8 23:06:27 2025 p107 factor: 83214070577516118320806596936489388261013718278676748533943647077729879819990869526470598814006458784022367
  215. Thu May 8 23:06:27 2025 elapsed time 06:04:54
  216.  
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