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Jan 19th, 2026
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  1. Mon Jan 19 11:24:52 2026
  2. Mon Jan 19 11:24:52 2026
  3. Mon Jan 19 11:24:52 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jan 19 11:24:52 2026 random seeds: 5d8a72b9 8796d902
  5. Mon Jan 19 11:24:52 2026 MPI process 0 of 1
  6. Mon Jan 19 11:24:52 2026 Using 32 OpenMP threads
  7. Mon Jan 19 11:24:52 2026 factoring 45429259382873509740047231290340581797683834115631140544234957784795078769345857159674073917028403390446388621480984702327526187581352340288828187033920548050814649499 (167 digits)
  8. Mon Jan 19 11:24:53 2026 searching for 15-digit factors
  9. Mon Jan 19 11:24:53 2026 commencing number field sieve (167-digit input)
  10. Mon Jan 19 11:24:53 2026 R0: -184038359883027546511254865851149
  11. Mon Jan 19 11:24:53 2026 R1: 2528289771145419257715167
  12. Mon Jan 19 11:24:53 2026 A0: 152721362240661325500317580549443817400
  13. Mon Jan 19 11:24:53 2026 A1: 131271016713363983415630888968530
  14. Mon Jan 19 11:24:53 2026 A2: -57421393134314898891471769
  15. Mon Jan 19 11:24:53 2026 A3: -33351913107277855474
  16. Mon Jan 19 11:24:53 2026 A4: 7285472084304
  17. Mon Jan 19 11:24:53 2026 A5: 551880
  18. Mon Jan 19 11:24:53 2026 skew 3533947.77, size 3.748e-16, alpha -6.060, combined = 6.506e-13 rroots = 5
  19. Mon Jan 19 11:24:53 2026
  20. Mon Jan 19 11:24:53 2026 commencing relation filtering
  21. Mon Jan 19 11:24:53 2026 setting target matrix density to 120.0
  22. Mon Jan 19 11:24:53 2026 estimated available RAM is 257736.5 MB
  23. Mon Jan 19 11:24:53 2026 commencing duplicate removal, pass 1
  24. Mon Jan 19 11:26:26 2026 error -1 reading relation 37191427
  25. Mon Jan 19 11:26:56 2026 error -1 reading relation 49073635
  26. Mon Jan 19 11:27:47 2026 error -1 reading relation 69818321
  27. Mon Jan 19 11:28:54 2026 error -1 reading relation 96540847
  28. Mon Jan 19 11:30:13 2026 error -1 reading relation 129126902
  29. Mon Jan 19 11:30:37 2026 error -1 reading relation 138947946
  30. Mon Jan 19 11:30:38 2026 error -1 reading relation 139440257
  31. Mon Jan 19 11:30:50 2026 error -1 reading relation 144148971
  32. Mon Jan 19 11:30:55 2026 error -1 reading relation 146372345
  33. Mon Jan 19 11:35:21 2026 error -1 reading relation 251113302
  34. Mon Jan 19 11:35:37 2026 skipped 148 malformed relations
  35. Mon Jan 19 11:35:37 2026 found 43527102 hash collisions in 256416574 relations
  36. Mon Jan 19 11:36:15 2026 added 121716 free relations
  37. Mon Jan 19 11:36:15 2026 commencing duplicate removal, pass 2
  38. Mon Jan 19 11:45:17 2026 found 44379632 duplicates and 212158658 unique relations
  39. Mon Jan 19 11:45:17 2026 memory use: 1577.5 MB
  40. Mon Jan 19 11:45:17 2026 reading ideals above 720000
  41. Mon Jan 19 11:45:17 2026 commencing singleton removal, initial pass
  42. Mon Jan 19 12:12:03 2026 memory use: 6024.0 MB
  43. Mon Jan 19 12:12:04 2026 reading all ideals from disk
  44. Mon Jan 19 12:12:10 2026 memory use: 9748.9 MB
  45. Mon Jan 19 12:13:06 2026 keeping 217818454 ideals with weight <= 200, target excess is 1032476
  46. Mon Jan 19 12:14:09 2026 commencing in-memory singleton removal
  47. Mon Jan 19 12:14:14 2026 begin with 212158658 relations and 217818454 unique ideals
  48. Mon Jan 19 12:14:37 2026 reduce to 98322551 relations and 87545134 ideals in 18 passes
  49. Mon Jan 19 12:14:37 2026 max relations containing the same ideal: 126
  50. Mon Jan 19 12:15:53 2026 removing 8482133 relations and 7482133 ideals in 1000000 cliques
  51. Mon Jan 19 12:15:58 2026 commencing in-memory singleton removal
  52. Mon Jan 19 12:16:00 2026 begin with 89840418 relations and 87545134 unique ideals
  53. Mon Jan 19 12:16:08 2026 reduce to 89243390 relations and 79457622 ideals in 10 passes
  54. Mon Jan 19 12:16:08 2026 max relations containing the same ideal: 118
  55. Mon Jan 19 12:17:17 2026 removing 6331289 relations and 5331289 ideals in 1000000 cliques
  56. Mon Jan 19 12:17:22 2026 commencing in-memory singleton removal
  57. Mon Jan 19 12:17:24 2026 begin with 82912101 relations and 79457622 unique ideals
  58. Mon Jan 19 12:17:31 2026 reduce to 82531187 relations and 73740904 ideals in 9 passes
  59. Mon Jan 19 12:17:31 2026 max relations containing the same ideal: 114
  60. Mon Jan 19 12:18:34 2026 removing 5669817 relations and 4669818 ideals in 1000000 cliques
  61. Mon Jan 19 12:18:39 2026 commencing in-memory singleton removal
  62. Mon Jan 19 12:18:41 2026 begin with 76861370 relations and 73740904 unique ideals
  63. Mon Jan 19 12:18:47 2026 reduce to 76526176 relations and 68731897 ideals in 9 passes
  64. Mon Jan 19 12:18:47 2026 max relations containing the same ideal: 109
  65. Mon Jan 19 12:19:46 2026 removing 5332962 relations and 4332962 ideals in 1000000 cliques
  66. Mon Jan 19 12:19:50 2026 commencing in-memory singleton removal
  67. Mon Jan 19 12:19:52 2026 begin with 71193214 relations and 68731897 unique ideals
  68. Mon Jan 19 12:19:56 2026 reduce to 70873495 relations and 64075223 ideals in 8 passes
  69. Mon Jan 19 12:19:56 2026 max relations containing the same ideal: 105
  70. Mon Jan 19 12:20:49 2026 removing 5122817 relations and 4122817 ideals in 1000000 cliques
  71. Mon Jan 19 12:20:53 2026 commencing in-memory singleton removal
  72. Mon Jan 19 12:20:54 2026 begin with 65750678 relations and 64075223 unique ideals
  73. Mon Jan 19 12:20:59 2026 reduce to 65431332 relations and 59628986 ideals in 8 passes
  74. Mon Jan 19 12:20:59 2026 max relations containing the same ideal: 103
  75. Mon Jan 19 12:21:49 2026 removing 4993035 relations and 3993035 ideals in 1000000 cliques
  76. Mon Jan 19 12:21:52 2026 commencing in-memory singleton removal
  77. Mon Jan 19 12:21:54 2026 begin with 60438297 relations and 59628986 unique ideals
  78. Mon Jan 19 12:21:58 2026 reduce to 60106491 relations and 55299577 ideals in 9 passes
  79. Mon Jan 19 12:21:58 2026 max relations containing the same ideal: 100
  80. Mon Jan 19 12:22:55 2026 removing 4918309 relations and 3918309 ideals in 1000000 cliques
  81. Mon Jan 19 12:22:59 2026 commencing in-memory singleton removal
  82. Mon Jan 19 12:23:00 2026 begin with 55188182 relations and 55299577 unique ideals
  83. Mon Jan 19 12:23:03 2026 reduce to 54834550 relations and 51022472 ideals in 8 passes
  84. Mon Jan 19 12:23:03 2026 max relations containing the same ideal: 90
  85. Mon Jan 19 12:23:46 2026 removing 4884113 relations and 3884113 ideals in 1000000 cliques
  86. Mon Jan 19 12:23:49 2026 commencing in-memory singleton removal
  87. Mon Jan 19 12:23:50 2026 begin with 49950437 relations and 51022472 unique ideals
  88. Mon Jan 19 12:23:53 2026 reduce to 49566839 relations and 46748605 ideals in 9 passes
  89. Mon Jan 19 12:23:53 2026 max relations containing the same ideal: 81
  90. Mon Jan 19 12:24:42 2026 removing 4892341 relations and 3892341 ideals in 1000000 cliques
  91. Mon Jan 19 12:24:46 2026 commencing in-memory singleton removal
  92. Mon Jan 19 12:24:47 2026 begin with 44674498 relations and 46748605 unique ideals
  93. Mon Jan 19 12:24:50 2026 reduce to 44244080 relations and 42418016 ideals in 10 passes
  94. Mon Jan 19 12:24:50 2026 max relations containing the same ideal: 75
  95. Mon Jan 19 12:25:24 2026 removing 3432973 relations and 2804582 ideals in 628391 cliques
  96. Mon Jan 19 12:25:27 2026 commencing in-memory singleton removal
  97. Mon Jan 19 12:25:28 2026 begin with 40811107 relations and 42418016 unique ideals
  98. Mon Jan 19 12:25:30 2026 reduce to 40582058 relations and 39381438 ideals in 8 passes
  99. Mon Jan 19 12:25:30 2026 max relations containing the same ideal: 70
  100. Mon Jan 19 12:26:14 2026 relations with 0 large ideals: 3671
  101. Mon Jan 19 12:26:14 2026 relations with 1 large ideals: 28180
  102. Mon Jan 19 12:26:14 2026 relations with 2 large ideals: 376382
  103. Mon Jan 19 12:26:14 2026 relations with 3 large ideals: 2095941
  104. Mon Jan 19 12:26:14 2026 relations with 4 large ideals: 6211368
  105. Mon Jan 19 12:26:14 2026 relations with 5 large ideals: 10730311
  106. Mon Jan 19 12:26:14 2026 relations with 6 large ideals: 11165381
  107. Mon Jan 19 12:26:14 2026 relations with 7+ large ideals: 9970824
  108. Mon Jan 19 12:26:14 2026 commencing 2-way merge
  109. Mon Jan 19 12:26:58 2026 reduce to 23817373 relation sets and 22616753 unique ideals
  110. Mon Jan 19 12:26:58 2026 commencing full merge
  111. Mon Jan 19 12:43:58 2026 memory use: 2599.2 MB
  112. Mon Jan 19 12:44:03 2026 found 10140695 cycles, need 10122953
  113. Mon Jan 19 12:44:09 2026 weight of 10122953 cycles is about 1215219382 (120.05/cycle)
  114. Mon Jan 19 12:44:09 2026 distribution of cycle lengths:
  115. Mon Jan 19 12:44:09 2026 1 relations: 869714
  116. Mon Jan 19 12:44:09 2026 2 relations: 723258
  117. Mon Jan 19 12:44:09 2026 3 relations: 711299
  118. Mon Jan 19 12:44:09 2026 4 relations: 682075
  119. Mon Jan 19 12:44:09 2026 5 relations: 672504
  120. Mon Jan 19 12:44:09 2026 6 relations: 642602
  121. Mon Jan 19 12:44:09 2026 7 relations: 613389
  122. Mon Jan 19 12:44:09 2026 8 relations: 581799
  123. Mon Jan 19 12:44:09 2026 9 relations: 554293
  124. Mon Jan 19 12:44:09 2026 10+ relations: 4072020
  125. Mon Jan 19 12:44:09 2026 heaviest cycle: 28 relations
  126. Mon Jan 19 12:44:15 2026 commencing cycle optimization
  127. Mon Jan 19 12:44:58 2026 start with 90010095 relations
  128. Mon Jan 19 12:52:00 2026 pruned 3219930 relations
  129. Mon Jan 19 12:52:00 2026 memory use: 2550.9 MB
  130. Mon Jan 19 12:52:00 2026 distribution of cycle lengths:
  131. Mon Jan 19 12:52:00 2026 1 relations: 869714
  132. Mon Jan 19 12:52:00 2026 2 relations: 741234
  133. Mon Jan 19 12:52:00 2026 3 relations: 737346
  134. Mon Jan 19 12:52:00 2026 4 relations: 704745
  135. Mon Jan 19 12:52:00 2026 5 relations: 696987
  136. Mon Jan 19 12:52:00 2026 6 relations: 663958
  137. Mon Jan 19 12:52:00 2026 7 relations: 634873
  138. Mon Jan 19 12:52:00 2026 8 relations: 601622
  139. Mon Jan 19 12:52:00 2026 9 relations: 570469
  140. Mon Jan 19 12:52:00 2026 10+ relations: 3902005
  141. Mon Jan 19 12:52:00 2026 heaviest cycle: 28 relations
  142. Mon Jan 19 12:52:33 2026 RelProcTime: 5260
  143. Mon Jan 19 12:52:33 2026
  144. Mon Jan 19 12:52:33 2026 commencing linear algebra
  145. Mon Jan 19 12:52:33 2026 using VBITS=256
  146. Mon Jan 19 12:52:33 2026 stopping after matrix build
  147. Mon Jan 19 12:52:33 2026 initialized process (0,0) of 1 x 1 grid
  148. Mon Jan 19 12:52:35 2026 read 10122953 cycles
  149. Mon Jan 19 12:53:11 2026 cycles contain 39603415 unique relations
  150. Mon Jan 19 12:59:09 2026 read 39603415 relations
  151. Mon Jan 19 12:59:16 2026 using 20 quadratic characters above 4294917295
  152. Mon Jan 19 12:59:23 2026 building initial matrix
  153. Mon Jan 19 13:15:14 2026 memory use: 5181.8 MB
  154. Mon Jan 19 13:15:28 2026 read 10122953 cycles
  155. Mon Jan 19 13:15:31 2026 matrix is 10122776 x 10122953 (4766.6 MB) with weight 1442004642 (142.45/col)
  156. Mon Jan 19 13:15:31 2026 sparse part has weight 1138185878 (112.44/col)
  157. Mon Jan 19 13:19:41 2026 filtering completed in 2 passes
  158. Mon Jan 19 13:19:45 2026 matrix is 10122150 x 10122327 (4766.6 MB) with weight 1441975286 (142.45/col)
  159. Mon Jan 19 13:19:45 2026 sparse part has weight 1138176916 (112.44/col)
  160. Mon Jan 19 13:21:04 2026 BLanczosTime: 1711
  161. Mon Jan 19 13:21:04 2026 elapsed time 01:56:12
  162. Mon Jan 19 13:30:02 2026
  163. Mon Jan 19 13:30:02 2026
  164. Mon Jan 19 13:30:02 2026 Msieve v. 1.54 (SVN Unversioned directory)
  165. Mon Jan 19 13:30:02 2026 random seeds: 9666a0f7 92277c84
  166. Mon Jan 19 13:30:02 2026 MPI process 0 of 1
  167. Mon Jan 19 13:30:02 2026 Using 64 OpenMP threads
  168. Mon Jan 19 13:30:02 2026 factoring 45429259382873509740047231290340581797683834115631140544234957784795078769345857159674073917028403390446388621480984702327526187581352340288828187033920548050814649499 (167 digits)
  169. Mon Jan 19 13:30:03 2026 searching for 15-digit factors
  170. Mon Jan 19 13:30:04 2026 commencing number field sieve (167-digit input)
  171. Mon Jan 19 13:30:04 2026 R0: -184038359883027546511254865851149
  172. Mon Jan 19 13:30:04 2026 R1: 2528289771145419257715167
  173. Mon Jan 19 13:30:04 2026 A0: 152721362240661325500317580549443817400
  174. Mon Jan 19 13:30:04 2026 A1: 131271016713363983415630888968530
  175. Mon Jan 19 13:30:04 2026 A2: -57421393134314898891471769
  176. Mon Jan 19 13:30:04 2026 A3: -33351913107277855474
  177. Mon Jan 19 13:30:04 2026 A4: 7285472084304
  178. Mon Jan 19 13:30:04 2026 A5: 551880
  179. Mon Jan 19 13:30:04 2026 skew 3533947.77, size 3.748e-16, alpha -6.060, combined = 6.506e-13 rroots = 5
  180. Mon Jan 19 13:30:04 2026
  181. Mon Jan 19 13:30:04 2026 commencing linear algebra
  182. Mon Jan 19 13:30:04 2026 using VBITS=256
  183. Mon Jan 19 13:30:04 2026 skipping matrix build
  184. Mon Jan 19 13:30:04 2026 initialized process (0,0) of 1 x 1 grid
  185. Mon Jan 19 13:30:12 2026 matrix starts at (0, 0)
  186. Mon Jan 19 13:30:15 2026 matrix is 10122150 x 10122327 (4766.6 MB) with weight 1441975286 (142.45/col)
  187. Mon Jan 19 13:30:15 2026 sparse part has weight 1138176916 (112.44/col)
  188. Mon Jan 19 13:30:15 2026 saving the first 240 matrix rows for later
  189. Mon Jan 19 13:30:19 2026 matrix includes 256 packed rows
  190. Mon Jan 19 13:30:29 2026 matrix is 10121910 x 10122327 (4342.2 MB) with weight 1040338775 (102.78/col)
  191. Mon Jan 19 13:30:29 2026 sparse part has weight 976313083 (96.45/col)
  192. Mon Jan 19 13:30:29 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  193. Mon Jan 19 13:31:00 2026 commencing Lanczos iteration (64 threads)
  194. Mon Jan 19 13:31:00 2026 memory use: 6262.7 MB
  195. Mon Jan 19 13:32:22 2026 linear algebra at 0.3%, ETA 7h19m
  196. Mon Jan 19 13:34:21 2026 checking every 20000 dimensions, checkpointing every 1400000 dimensions
  197. Mon Jan 19 20:48:02 2026 lanczos halted after 39659 iterations (dim = 10121910)
  198. Mon Jan 19 20:48:35 2026 recovered 30 nontrivial dependencies
  199. Mon Jan 19 20:48:36 2026 BLanczosTime: 26312
  200. Mon Jan 19 20:48:36 2026
  201. Mon Jan 19 20:48:36 2026 commencing square root phase
  202. Mon Jan 19 20:48:36 2026 handling dependencies 1 to 64
  203. Mon Jan 19 20:48:36 2026 reading relations for dependency 1
  204. Mon Jan 19 20:48:36 2026 read 5061054 cycles
  205. Mon Jan 19 20:48:45 2026 cycles contain 19804186 unique relations
  206. Mon Jan 19 20:52:24 2026 read 19804186 relations
  207. Mon Jan 19 20:53:31 2026 multiplying 19804186 relations
  208. Mon Jan 19 20:56:08 2026 multiply complete, coefficients have about 1104.55 million bits
  209. Mon Jan 19 20:56:12 2026 initial square root is modulo 90121
  210. Mon Jan 19 21:09:36 2026 GCD is N, no factor found
  211. Mon Jan 19 21:09:36 2026 reading relations for dependency 2
  212. Mon Jan 19 21:09:38 2026 read 5061518 cycles
  213. Mon Jan 19 21:09:59 2026 cycles contain 19801252 unique relations
  214. Mon Jan 19 21:15:49 2026 read 19801252 relations
  215. Mon Jan 19 21:18:51 2026 multiplying 19801252 relations
  216. Mon Jan 19 21:22:24 2026 multiply complete, coefficients have about 1104.38 million bits
  217. Mon Jan 19 21:22:29 2026 initial square root is modulo 90031
  218. Mon Jan 19 21:35:57 2026 sqrtTime: 2841
  219. Mon Jan 19 21:35:57 2026 p80 factor: 73278525451724705543712065641775637317293056264381092176093594847202706389772951
  220. Mon Jan 19 21:35:57 2026 p87 factor: 619953241455464807632352901640268497676810240796448892850471966565898864388011161569949
  221.  
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