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Dec 23rd, 2025
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  1. Tue Dec 23 15:07:23 2025
  2. Tue Dec 23 15:07:23 2025
  3. Tue Dec 23 15:07:23 2025 Msieve v. 1.54 (SVN unknown)
  4. Tue Dec 23 15:07:23 2025 random seeds: e26f7bac e835382c
  5. Tue Dec 23 15:07:23 2025 factoring 478902755220964401784115922323032611145258300420347972769030808500014060919835438698154101017015542917939940791255643315089682351403355858671366725491550986592317305886937714762685737705341385627 (195 digits)
  6. Tue Dec 23 15:07:24 2025 no P-1/P+1/ECM available, skipping
  7. Tue Dec 23 15:07:24 2025 commencing number field sieve (195-digit input)
  8. Tue Dec 23 15:07:24 2025 R0: 3947390722541189220279009256935626449
  9. Tue Dec 23 15:07:24 2025 R1: -1
  10. Tue Dec 23 15:07:24 2025 A0: -4567
  11. Tue Dec 23 15:07:24 2025 A1: 0
  12. Tue Dec 23 15:07:24 2025 A2: 0
  13. Tue Dec 23 15:07:24 2025 A3: 0
  14. Tue Dec 23 15:07:24 2025 A4: 0
  15. Tue Dec 23 15:07:24 2025 A5: 0
  16. Tue Dec 23 15:07:24 2025 A6: 1
  17. Tue Dec 23 15:07:24 2025 skew 4.07, size 4.608e-11, alpha 0.706, combined = 1.937e-12 rroots = 2
  18. Tue Dec 23 15:07:24 2025
  19. Tue Dec 23 15:07:24 2025 commencing relation filtering
  20. Tue Dec 23 15:07:24 2025 setting target matrix density to 100.0
  21. Tue Dec 23 15:07:24 2025 estimated available RAM is 7902.4 MB
  22. Tue Dec 23 15:07:24 2025 commencing duplicate removal, pass 1
  23. Tue Dec 23 15:12:29 2025 error -1 reading relation 55033138
  24. Tue Dec 23 15:14:38 2025 skipped 1 relations with composite factors
  25. Tue Dec 23 15:14:38 2025 found 2727187 hash collisions in 78371917 relations
  26. Tue Dec 23 15:14:52 2025 added 1218041 free relations
  27. Tue Dec 23 15:14:52 2025 commencing duplicate removal, pass 2
  28. Tue Dec 23 15:15:14 2025 found 0 duplicates and 79589958 unique relations
  29. Tue Dec 23 15:15:14 2025 memory use: 253.2 MB
  30. Tue Dec 23 15:15:14 2025 reading ideals above 44892160
  31. Tue Dec 23 15:15:14 2025 commencing singleton removal, initial pass
  32. Tue Dec 23 15:20:34 2025 memory use: 1506.0 MB
  33. Tue Dec 23 15:20:34 2025 reading all ideals from disk
  34. Tue Dec 23 15:20:36 2025 memory use: 1422.1 MB
  35. Tue Dec 23 15:20:38 2025 commencing in-memory singleton removal
  36. Tue Dec 23 15:20:41 2025 begin with 79589958 relations and 76099365 unique ideals
  37. Tue Dec 23 15:21:07 2025 reduce to 38776901 relations and 29446246 ideals in 17 passes
  38. Tue Dec 23 15:21:07 2025 max relations containing the same ideal: 40
  39. Tue Dec 23 15:21:09 2025 reading ideals above 720000
  40. Tue Dec 23 15:21:09 2025 commencing singleton removal, initial pass
  41. Tue Dec 23 15:24:26 2025 memory use: 753.0 MB
  42. Tue Dec 23 15:24:26 2025 reading all ideals from disk
  43. Tue Dec 23 15:24:28 2025 memory use: 1409.0 MB
  44. Tue Dec 23 15:24:31 2025 keeping 34669234 ideals with weight <= 200, target excess is 201471
  45. Tue Dec 23 15:24:34 2025 commencing in-memory singleton removal
  46. Tue Dec 23 15:24:36 2025 begin with 38776902 relations and 34669234 unique ideals
  47. Tue Dec 23 15:24:52 2025 reduce to 38776307 relations and 34668634 ideals in 8 passes
  48. Tue Dec 23 15:24:52 2025 max relations containing the same ideal: 200
  49. Tue Dec 23 15:25:05 2025 removing 3339856 relations and 2939856 ideals in 400000 cliques
  50. Tue Dec 23 15:25:06 2025 commencing in-memory singleton removal
  51. Tue Dec 23 15:25:08 2025 begin with 35436451 relations and 34668634 unique ideals
  52. Tue Dec 23 15:25:25 2025 reduce to 35183338 relations and 31471898 ideals in 9 passes
  53. Tue Dec 23 15:25:25 2025 max relations containing the same ideal: 194
  54. Tue Dec 23 15:25:37 2025 removing 2487496 relations and 2087496 ideals in 400000 cliques
  55. Tue Dec 23 15:25:38 2025 commencing in-memory singleton removal
  56. Tue Dec 23 15:25:39 2025 begin with 32695842 relations and 31471898 unique ideals
  57. Tue Dec 23 15:25:55 2025 reduce to 32545451 relations and 29232182 ideals in 9 passes
  58. Tue Dec 23 15:25:55 2025 max relations containing the same ideal: 189
  59. Tue Dec 23 15:26:06 2025 removing 2219752 relations and 1819752 ideals in 400000 cliques
  60. Tue Dec 23 15:26:06 2025 commencing in-memory singleton removal
  61. Tue Dec 23 15:26:08 2025 begin with 30325699 relations and 29232182 unique ideals
  62. Tue Dec 23 15:26:21 2025 reduce to 30198228 relations and 27283484 ideals in 8 passes
  63. Tue Dec 23 15:26:21 2025 max relations containing the same ideal: 180
  64. Tue Dec 23 15:26:31 2025 removing 2078802 relations and 1678802 ideals in 400000 cliques
  65. Tue Dec 23 15:26:31 2025 commencing in-memory singleton removal
  66. Tue Dec 23 15:26:33 2025 begin with 28119426 relations and 27283484 unique ideals
  67. Tue Dec 23 15:26:43 2025 reduce to 28003556 relations and 25487459 ideals in 7 passes
  68. Tue Dec 23 15:26:43 2025 max relations containing the same ideal: 172
  69. Tue Dec 23 15:26:52 2025 removing 1985751 relations and 1585751 ideals in 400000 cliques
  70. Tue Dec 23 15:26:53 2025 commencing in-memory singleton removal
  71. Tue Dec 23 15:26:55 2025 begin with 26017805 relations and 25487459 unique ideals
  72. Tue Dec 23 15:27:04 2025 reduce to 25906979 relations and 23789445 ideals in 7 passes
  73. Tue Dec 23 15:27:04 2025 max relations containing the same ideal: 162
  74. Tue Dec 23 15:27:12 2025 removing 1919669 relations and 1519669 ideals in 400000 cliques
  75. Tue Dec 23 15:27:13 2025 commencing in-memory singleton removal
  76. Tue Dec 23 15:27:14 2025 begin with 23987310 relations and 23789445 unique ideals
  77. Tue Dec 23 15:27:23 2025 reduce to 23876782 relations and 22157801 ideals in 7 passes
  78. Tue Dec 23 15:27:23 2025 max relations containing the same ideal: 155
  79. Tue Dec 23 15:27:31 2025 removing 1872076 relations and 1472076 ideals in 400000 cliques
  80. Tue Dec 23 15:27:31 2025 commencing in-memory singleton removal
  81. Tue Dec 23 15:27:33 2025 begin with 22004706 relations and 22157801 unique ideals
  82. Tue Dec 23 15:27:42 2025 reduce to 21891254 relations and 20570615 ideals in 8 passes
  83. Tue Dec 23 15:27:42 2025 max relations containing the same ideal: 144
  84. Tue Dec 23 15:27:49 2025 removing 1839867 relations and 1439867 ideals in 400000 cliques
  85. Tue Dec 23 15:27:49 2025 commencing in-memory singleton removal
  86. Tue Dec 23 15:27:50 2025 begin with 20051387 relations and 20570615 unique ideals
  87. Tue Dec 23 15:27:58 2025 reduce to 19933044 relations and 19010589 ideals in 7 passes
  88. Tue Dec 23 15:27:58 2025 max relations containing the same ideal: 136
  89. Tue Dec 23 15:28:04 2025 removing 1814086 relations and 1414086 ideals in 400000 cliques
  90. Tue Dec 23 15:28:05 2025 commencing in-memory singleton removal
  91. Tue Dec 23 15:28:06 2025 begin with 18118958 relations and 19010589 unique ideals
  92. Tue Dec 23 15:28:13 2025 reduce to 17993692 relations and 17469215 ideals in 8 passes
  93. Tue Dec 23 15:28:13 2025 max relations containing the same ideal: 126
  94. Tue Dec 23 15:28:19 2025 removing 1389879 relations and 1099109 ideals in 290770 cliques
  95. Tue Dec 23 15:28:19 2025 commencing in-memory singleton removal
  96. Tue Dec 23 15:28:20 2025 begin with 16603813 relations and 17469215 unique ideals
  97. Tue Dec 23 15:28:27 2025 reduce to 16525697 relations and 16290895 ideals in 8 passes
  98. Tue Dec 23 15:28:27 2025 max relations containing the same ideal: 117
  99. Tue Dec 23 15:28:34 2025 relations with 0 large ideals: 7454
  100. Tue Dec 23 15:28:34 2025 relations with 1 large ideals: 1790
  101. Tue Dec 23 15:28:34 2025 relations with 2 large ideals: 16660
  102. Tue Dec 23 15:28:34 2025 relations with 3 large ideals: 150082
  103. Tue Dec 23 15:28:34 2025 relations with 4 large ideals: 737940
  104. Tue Dec 23 15:28:34 2025 relations with 5 large ideals: 2159674
  105. Tue Dec 23 15:28:34 2025 relations with 6 large ideals: 3911684
  106. Tue Dec 23 15:28:34 2025 relations with 7+ large ideals: 9540413
  107. Tue Dec 23 15:28:34 2025 commencing 2-way merge
  108. Tue Dec 23 15:28:42 2025 reduce to 10133107 relation sets and 9898305 unique ideals
  109. Tue Dec 23 15:28:42 2025 commencing full merge
  110. Tue Dec 23 15:31:27 2025 memory use: 1361.3 MB
  111. Tue Dec 23 15:31:28 2025 found 4820626 cycles, need 4804505
  112. Tue Dec 23 15:31:29 2025 weight of 4804505 cycles is about 480811403 (100.08/cycle)
  113. Tue Dec 23 15:31:29 2025 distribution of cycle lengths:
  114. Tue Dec 23 15:31:29 2025 1 relations: 380654
  115. Tue Dec 23 15:31:29 2025 2 relations: 409235
  116. Tue Dec 23 15:31:29 2025 3 relations: 414500
  117. Tue Dec 23 15:31:29 2025 4 relations: 396647
  118. Tue Dec 23 15:31:29 2025 5 relations: 379142
  119. Tue Dec 23 15:31:29 2025 6 relations: 357953
  120. Tue Dec 23 15:31:29 2025 7 relations: 334352
  121. Tue Dec 23 15:31:29 2025 8 relations: 309720
  122. Tue Dec 23 15:31:29 2025 9 relations: 282162
  123. Tue Dec 23 15:31:29 2025 10+ relations: 1540140
  124. Tue Dec 23 15:31:29 2025 heaviest cycle: 28 relations
  125. Tue Dec 23 15:31:30 2025 commencing cycle optimization
  126. Tue Dec 23 15:31:37 2025 start with 36940478 relations
  127. Tue Dec 23 15:32:28 2025 pruned 1288688 relations
  128. Tue Dec 23 15:32:28 2025 memory use: 1061.6 MB
  129. Tue Dec 23 15:32:28 2025 distribution of cycle lengths:
  130. Tue Dec 23 15:32:28 2025 1 relations: 380654
  131. Tue Dec 23 15:32:28 2025 2 relations: 417605
  132. Tue Dec 23 15:32:28 2025 3 relations: 428909
  133. Tue Dec 23 15:32:28 2025 4 relations: 409240
  134. Tue Dec 23 15:32:28 2025 5 relations: 392933
  135. Tue Dec 23 15:32:28 2025 6 relations: 369431
  136. Tue Dec 23 15:32:28 2025 7 relations: 345729
  137. Tue Dec 23 15:32:28 2025 8 relations: 317653
  138. Tue Dec 23 15:32:28 2025 9 relations: 289947
  139. Tue Dec 23 15:32:28 2025 10+ relations: 1452404
  140. Tue Dec 23 15:32:28 2025 heaviest cycle: 28 relations
  141. Tue Dec 23 15:32:35 2025 RelProcTime: 1511
  142. Tue Dec 23 15:32:35 2025
  143. Tue Dec 23 15:32:35 2025 commencing linear algebra
  144. Tue Dec 23 15:32:35 2025 using VBITS=512
  145. Tue Dec 23 15:32:35 2025 read 4804505 cycles
  146. Tue Dec 23 15:32:42 2025 cycles contain 16356146 unique relations
  147. Tue Dec 23 15:33:40 2025 read 16356146 relations
  148. Tue Dec 23 15:33:56 2025 using 20 quadratic characters above 4294917295
  149. Tue Dec 23 15:35:00 2025 building initial matrix
  150. Tue Dec 23 15:37:18 2025 memory use: 2026.7 MB
  151. Tue Dec 23 15:37:19 2025 read 4804505 cycles
  152. Tue Dec 23 15:37:20 2025 matrix is 4804328 x 4804505 (1948.6 MB) with weight 564027033 (117.40/col)
  153. Tue Dec 23 15:37:20 2025 sparse part has weight 457965192 (95.32/col)
  154. Tue Dec 23 15:37:56 2025 filtering completed in 2 passes
  155. Tue Dec 23 15:37:57 2025 matrix is 4804115 x 4804275 (1948.6 MB) with weight 564019440 (117.40/col)
  156. Tue Dec 23 15:37:57 2025 sparse part has weight 457962579 (95.32/col)
  157. Tue Dec 23 15:38:07 2025 matrix starts at (0, 0)
  158. Tue Dec 23 15:38:07 2025 matrix is 4804115 x 4804275 (1948.6 MB) with weight 564019440 (117.40/col)
  159. Tue Dec 23 15:38:07 2025 sparse part has weight 457962579 (95.32/col)
  160. Tue Dec 23 15:38:07 2025 saving the first 496 matrix rows for later
  161. Tue Dec 23 15:38:08 2025 matrix includes 512 packed rows
  162. Tue Dec 23 15:38:11 2025 matrix is 4803619 x 4804275 (1825.8 MB) with weight 387206605 (80.60/col)
  163. Tue Dec 23 15:38:11 2025 sparse part has weight 363308589 (75.62/col)
  164. Tue Dec 23 15:38:11 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  165. Tue Dec 23 15:38:11 2025 selected card has CUDA arch 8.6
  166. Tue Dec 23 15:38:43 2025 commencing Lanczos iteration
  167. Tue Dec 23 15:38:44 2025 memory use: 5191.0 MB
  168. Tue Dec 23 15:39:00 2025 linear algebra at 0.3%, ETA 1h23m
  169. Tue Dec 23 15:39:01 2025 checkpointing every 3360000 dimensions
  170. Tue Dec 23 17:01:37 2025 lanczos halted after 9398 iterations (dim = 4803619)
  171. Tue Dec 23 17:02:35 2025 recovered 37 nontrivial dependencies
  172. Tue Dec 23 17:02:35 2025 BLanczosTime: 5400
  173. Tue Dec 23 17:02:35 2025
  174. Tue Dec 23 17:02:35 2025 commencing square root phase
  175. Tue Dec 23 17:02:35 2025 handling dependencies 1 to 64
  176. Tue Dec 23 17:02:35 2025 reading relations for dependency 1
  177. Tue Dec 23 17:02:36 2025 read 2402551 cycles
  178. Tue Dec 23 17:02:39 2025 cycles contain 8182490 unique relations
  179. Tue Dec 23 17:03:11 2025 read 8182490 relations
  180. Tue Dec 23 17:03:41 2025 multiplying 8182490 relations
  181. Tue Dec 23 17:07:37 2025 multiply complete, coefficients have about 204.46 million bits
  182. Tue Dec 23 17:07:37 2025 initial square root is modulo 21755077
  183. Tue Dec 23 17:12:00 2025 sqrtTime: 565
  184. Tue Dec 23 17:12:00 2025 p66 factor: 231858596102023311469198588872366502622083637833166954661033159329
  185. Tue Dec 23 17:12:00 2025 p130 factor: 2065494932136291246172834923259828795070555505810007335998455824816774279086071241492891584764893886118599137662620250236363135163
  186. Tue Dec 23 17:12:00 2025 elapsed time 02:04:37
  187.  
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