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  1. Tue Nov 11 20:07:21 2025
  2. Tue Nov 11 20:07:21 2025
  3. Tue Nov 11 20:07:21 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Nov 11 20:07:21 2025 random seeds: 3ce05713 e4aaa28e
  5. Tue Nov 11 20:07:21 2025 Using 8 OpenMP threads
  6. Tue Nov 11 20:07:21 2025 factoring 1650210560948908037619746082187214366443975288838215768366999206392050461366687617413161083427962348967424869429182439666829940264061771755127340538400011177 (157 digits)
  7. Tue Nov 11 20:07:21 2025 searching for 15-digit factors
  8. Tue Nov 11 20:07:21 2025 commencing number field sieve (157-digit input)
  9. Tue Nov 11 20:07:21 2025 R0: -4556872820157427362022116242017
  10. Tue Nov 11 20:07:21 2025 R1: 20654003112130610269
  11. Tue Nov 11 20:07:21 2025 A0: -6271248239047592304865428859904036304
  12. Tue Nov 11 20:07:21 2025 A1: 18790819115380787974861055149506
  13. Tue Nov 11 20:07:21 2025 A2: 3175730203207423920331849
  14. Tue Nov 11 20:07:21 2025 A3: -1806286150823628975
  15. Tue Nov 11 20:07:21 2025 A4: -63538243374
  16. Tue Nov 11 20:07:21 2025 A5: 1680
  17. Tue Nov 11 20:07:21 2025 skew 1.00, size 5.089e-15, alpha -6.767, combined = 1.914e-14 rroots = 5
  18. Tue Nov 11 20:07:21 2025
  19. Tue Nov 11 20:07:21 2025 commencing relation filtering
  20. Tue Nov 11 20:07:21 2025 estimated available RAM is 78540.1 MB
  21. Tue Nov 11 20:07:21 2025 commencing duplicate removal, pass 1
  22. Tue Nov 11 20:10:18 2025 error -1 reading relation 49507221
  23. Tue Nov 11 20:10:34 2025 error -1 reading relation 60903293
  24. Tue Nov 11 20:10:56 2025 error -6 reading relation 69013584
  25. Tue Nov 11 20:11:24 2025 error -11 reading relation 80927352
  26. Tue Nov 11 20:11:24 2025 error -11 reading relation 80936915
  27. Tue Nov 11 20:12:00 2025 error -1 reading relation 95286431
  28. Tue Nov 11 20:12:01 2025 skipped 1 relations with b > 2^32
  29. Tue Nov 11 20:12:01 2025 skipped 32 malformed relations
  30. Tue Nov 11 20:12:01 2025 found 12468413 hash collisions in 95449034 relations
  31. Tue Nov 11 20:12:17 2025 added 121205 free relations
  32. Tue Nov 11 20:12:17 2025 commencing duplicate removal, pass 2
  33. Tue Nov 11 20:13:10 2025 found 10462838 duplicates and 85107401 unique relations
  34. Tue Nov 11 20:13:10 2025 memory use: 426.4 MB
  35. Tue Nov 11 20:13:10 2025 reading ideals above 720000
  36. Tue Nov 11 20:13:10 2025 commencing singleton removal, initial pass
  37. Tue Nov 11 20:20:56 2025 memory use: 2756.0 MB
  38. Tue Nov 11 20:20:57 2025 reading all ideals from disk
  39. Tue Nov 11 20:21:04 2025 memory use: 3737.3 MB
  40. Tue Nov 11 20:21:16 2025 keeping 83334789 ideals with weight <= 200, target excess is 441013
  41. Tue Nov 11 20:21:25 2025 commencing in-memory singleton removal
  42. Tue Nov 11 20:21:26 2025 begin with 85107401 relations and 83334789 unique ideals
  43. Tue Nov 11 20:21:41 2025 reduce to 45075752 relations and 37958532 ideals in 15 passes
  44. Tue Nov 11 20:21:41 2025 max relations containing the same ideal: 138
  45. Tue Nov 11 20:22:05 2025 removing 5903460 relations and 4903460 ideals in 1000000 cliques
  46. Tue Nov 11 20:22:07 2025 commencing in-memory singleton removal
  47. Tue Nov 11 20:22:08 2025 begin with 39172292 relations and 37958532 unique ideals
  48. Tue Nov 11 20:22:14 2025 reduce to 38592588 relations and 32459126 ideals in 9 passes
  49. Tue Nov 11 20:22:14 2025 max relations containing the same ideal: 125
  50. Tue Nov 11 20:22:35 2025 removing 4466062 relations and 3466062 ideals in 1000000 cliques
  51. Tue Nov 11 20:22:37 2025 commencing in-memory singleton removal
  52. Tue Nov 11 20:22:37 2025 begin with 34126526 relations and 32459126 unique ideals
  53. Tue Nov 11 20:22:42 2025 reduce to 33728776 relations and 28585053 ideals in 9 passes
  54. Tue Nov 11 20:22:42 2025 max relations containing the same ideal: 119
  55. Tue Nov 11 20:22:59 2025 removing 4042230 relations and 3042230 ideals in 1000000 cliques
  56. Tue Nov 11 20:23:01 2025 commencing in-memory singleton removal
  57. Tue Nov 11 20:23:01 2025 begin with 29686546 relations and 28585053 unique ideals
  58. Tue Nov 11 20:23:05 2025 reduce to 29317205 relations and 25163436 ideals in 9 passes
  59. Tue Nov 11 20:23:05 2025 max relations containing the same ideal: 110
  60. Tue Nov 11 20:23:21 2025 removing 3834958 relations and 2834958 ideals in 1000000 cliques
  61. Tue Nov 11 20:23:22 2025 commencing in-memory singleton removal
  62. Tue Nov 11 20:23:23 2025 begin with 25482247 relations and 25163436 unique ideals
  63. Tue Nov 11 20:23:26 2025 reduce to 25110200 relations and 21945167 ideals in 8 passes
  64. Tue Nov 11 20:23:26 2025 max relations containing the same ideal: 96
  65. Tue Nov 11 20:23:40 2025 removing 3717256 relations and 2717256 ideals in 1000000 cliques
  66. Tue Nov 11 20:23:41 2025 commencing in-memory singleton removal
  67. Tue Nov 11 20:23:41 2025 begin with 21392944 relations and 21945167 unique ideals
  68. Tue Nov 11 20:23:44 2025 reduce to 20991984 relations and 18812987 ideals in 8 passes
  69. Tue Nov 11 20:23:44 2025 max relations containing the same ideal: 85
  70. Tue Nov 11 20:23:56 2025 removing 3648552 relations and 2648552 ideals in 1000000 cliques
  71. Tue Nov 11 20:23:57 2025 commencing in-memory singleton removal
  72. Tue Nov 11 20:23:57 2025 begin with 17343432 relations and 18812987 unique ideals
  73. Tue Nov 11 20:24:00 2025 reduce to 16890592 relations and 15692809 ideals in 8 passes
  74. Tue Nov 11 20:24:00 2025 max relations containing the same ideal: 73
  75. Tue Nov 11 20:24:09 2025 removing 2693154 relations and 2006947 ideals in 686207 cliques
  76. Tue Nov 11 20:24:10 2025 commencing in-memory singleton removal
  77. Tue Nov 11 20:24:10 2025 begin with 14197438 relations and 15692809 unique ideals
  78. Tue Nov 11 20:24:12 2025 reduce to 13904269 relations and 13382244 ideals in 9 passes
  79. Tue Nov 11 20:24:12 2025 max relations containing the same ideal: 61
  80. Tue Nov 11 20:24:21 2025 removing 83986 relations and 73537 ideals in 10449 cliques
  81. Tue Nov 11 20:24:21 2025 commencing in-memory singleton removal
  82. Tue Nov 11 20:24:21 2025 begin with 13820283 relations and 13382244 unique ideals
  83. Tue Nov 11 20:24:22 2025 reduce to 13820013 relations and 13308437 ideals in 4 passes
  84. Tue Nov 11 20:24:22 2025 max relations containing the same ideal: 61
  85. Tue Nov 11 20:24:24 2025 relations with 0 large ideals: 1476
  86. Tue Nov 11 20:24:24 2025 relations with 1 large ideals: 8486
  87. Tue Nov 11 20:24:24 2025 relations with 2 large ideals: 114904
  88. Tue Nov 11 20:24:24 2025 relations with 3 large ideals: 667900
  89. Tue Nov 11 20:24:24 2025 relations with 4 large ideals: 2035449
  90. Tue Nov 11 20:24:24 2025 relations with 5 large ideals: 3563839
  91. Tue Nov 11 20:24:24 2025 relations with 6 large ideals: 3790347
  92. Tue Nov 11 20:24:24 2025 relations with 7+ large ideals: 3637612
  93. Tue Nov 11 20:24:24 2025 commencing 2-way merge
  94. Tue Nov 11 20:24:34 2025 reduce to 8474655 relation sets and 7963079 unique ideals
  95. Tue Nov 11 20:24:34 2025 commencing full merge
  96. Tue Nov 11 20:27:47 2025 memory use: 1018.2 MB
  97. Tue Nov 11 20:27:49 2025 found 4234820 cycles, need 4167279
  98. Tue Nov 11 20:27:50 2025 weight of 4167279 cycles is about 375563149 (90.12/cycle)
  99. Tue Nov 11 20:27:50 2025 distribution of cycle lengths:
  100. Tue Nov 11 20:27:50 2025 1 relations: 331699
  101. Tue Nov 11 20:27:50 2025 2 relations: 381021
  102. Tue Nov 11 20:27:50 2025 3 relations: 400090
  103. Tue Nov 11 20:27:50 2025 4 relations: 392850
  104. Tue Nov 11 20:27:50 2025 5 relations: 386858
  105. Tue Nov 11 20:27:50 2025 6 relations: 362574
  106. Tue Nov 11 20:27:50 2025 7 relations: 338641
  107. Tue Nov 11 20:27:50 2025 8 relations: 303439
  108. Tue Nov 11 20:27:50 2025 9 relations: 265803
  109. Tue Nov 11 20:27:50 2025 10+ relations: 1004304
  110. Tue Nov 11 20:27:50 2025 heaviest cycle: 22 relations
  111. Tue Nov 11 20:27:52 2025 commencing cycle optimization
  112. Tue Nov 11 20:28:02 2025 start with 27875763 relations
  113. Tue Nov 11 20:29:01 2025 pruned 922149 relations
  114. Tue Nov 11 20:29:02 2025 memory use: 851.5 MB
  115. Tue Nov 11 20:29:02 2025 distribution of cycle lengths:
  116. Tue Nov 11 20:29:02 2025 1 relations: 331699
  117. Tue Nov 11 20:29:02 2025 2 relations: 390476
  118. Tue Nov 11 20:29:02 2025 3 relations: 416063
  119. Tue Nov 11 20:29:02 2025 4 relations: 406774
  120. Tue Nov 11 20:29:02 2025 5 relations: 401858
  121. Tue Nov 11 20:29:02 2025 6 relations: 375058
  122. Tue Nov 11 20:29:02 2025 7 relations: 349423
  123. Tue Nov 11 20:29:02 2025 8 relations: 309928
  124. Tue Nov 11 20:29:02 2025 9 relations: 269628
  125. Tue Nov 11 20:29:02 2025 10+ relations: 916372
  126. Tue Nov 11 20:29:02 2025 heaviest cycle: 21 relations
  127. Tue Nov 11 20:29:11 2025 RelProcTime: 1310
  128. Tue Nov 11 20:29:11 2025
  129. Tue Nov 11 20:29:11 2025 commencing linear algebra
  130. Tue Nov 11 20:29:11 2025 using VBITS=256
  131. Tue Nov 11 20:29:11 2025 read 4167279 cycles
  132. Tue Nov 11 20:29:19 2025 cycles contain 13496583 unique relations
  133. Tue Nov 11 20:29:50 2025 read 13496583 relations
  134. Tue Nov 11 20:29:55 2025 using 20 quadratic characters above 4294917295
  135. Tue Nov 11 20:30:03 2025 building initial matrix
  136. Tue Nov 11 20:33:04 2025 memory use: 1840.1 MB
  137. Tue Nov 11 20:33:06 2025 read 4167279 cycles
  138. Tue Nov 11 20:33:07 2025 matrix is 4167098 x 4167279 (1549.2 MB) with weight 480653540 (115.34/col)
  139. Tue Nov 11 20:33:07 2025 sparse part has weight 356109492 (85.45/col)
  140. Tue Nov 11 20:33:46 2025 filtering completed in 2 passes
  141. Tue Nov 11 20:33:47 2025 matrix is 4166281 x 4166462 (1549.1 MB) with weight 480613396 (115.35/col)
  142. Tue Nov 11 20:33:47 2025 sparse part has weight 356094842 (85.47/col)
  143. Tue Nov 11 20:34:00 2025 matrix starts at (0, 0)
  144. Tue Nov 11 20:34:00 2025 matrix is 4166281 x 4166462 (1549.1 MB) with weight 480613396 (115.35/col)
  145. Tue Nov 11 20:34:00 2025 sparse part has weight 356094842 (85.47/col)
  146. Tue Nov 11 20:34:00 2025 saving the first 240 matrix rows for later
  147. Tue Nov 11 20:34:01 2025 matrix includes 256 packed rows
  148. Tue Nov 11 20:34:02 2025 matrix is 4166041 x 4166462 (1402.0 MB) with weight 322517211 (77.41/col)
  149. Tue Nov 11 20:34:02 2025 sparse part has weight 300853537 (72.21/col)
  150. Tue Nov 11 20:34:02 2025 using GPU 0 (NVIDIA GeForce RTX 5070)
  151. Tue Nov 11 20:34:02 2025 selected card has CUDA arch 12.0
  152. Tue Nov 11 20:34:26 2025 commencing Lanczos iteration
  153. Tue Nov 11 20:34:28 2025 memory use: 3344.3 MB
  154. Tue Nov 11 20:34:38 2025 linear algebra at 0.7%, ETA 0h22m
  155. Tue Nov 11 20:34:52 2025 checking every 190000 dimensions, checkpointing every 11590000 dimensions
  156. Tue Nov 11 20:54:58 2025 lanczos halted after 16323 iterations (dim = 4166040)
  157. Tue Nov 11 20:55:13 2025 recovered 30 nontrivial dependencies
  158. Tue Nov 11 20:55:13 2025 BLanczosTime: 1562
  159. Tue Nov 11 20:55:13 2025
  160. Tue Nov 11 20:55:13 2025 commencing square root phase
  161. Tue Nov 11 20:55:13 2025 reading relations for dependency 1
  162. Tue Nov 11 20:55:14 2025 read 2081721 cycles
  163. Tue Nov 11 20:55:18 2025 cycles contain 6744972 unique relations
  164. Tue Nov 11 20:55:47 2025 read 6744972 relations
  165. Tue Nov 11 20:56:17 2025 multiplying 6744972 relations
  166. Tue Nov 11 20:57:03 2025 multiply complete, coefficients have about 325.17 million bits
  167. Tue Nov 11 20:57:04 2025 initial square root is modulo 683437
  168. Tue Nov 11 20:58:53 2025 GCD is N, no factor found
  169. Tue Nov 11 20:58:53 2025 reading relations for dependency 2
  170. Tue Nov 11 20:58:53 2025 read 2083468 cycles
  171. Tue Nov 11 20:58:56 2025 cycles contain 6746620 unique relations
  172. Tue Nov 11 20:59:11 2025 read 6746620 relations
  173. Tue Nov 11 20:59:39 2025 multiplying 6746620 relations
  174. Tue Nov 11 21:00:25 2025 multiply complete, coefficients have about 325.25 million bits
  175. Tue Nov 11 21:00:26 2025 initial square root is modulo 685669
  176. Tue Nov 11 21:02:18 2025 GCD is 1, no factor found
  177. Tue Nov 11 21:02:18 2025 reading relations for dependency 3
  178. Tue Nov 11 21:02:18 2025 read 2082096 cycles
  179. Tue Nov 11 21:02:22 2025 cycles contain 6745640 unique relations
  180. Tue Nov 11 21:02:36 2025 read 6745640 relations
  181. Tue Nov 11 21:03:12 2025 multiplying 6745640 relations
  182. Tue Nov 11 21:03:58 2025 multiply complete, coefficients have about 325.19 million bits
  183. Tue Nov 11 21:03:59 2025 initial square root is modulo 684053
  184. Tue Nov 11 21:05:56 2025 GCD is 1, no factor found
  185. Tue Nov 11 21:05:56 2025 reading relations for dependency 4
  186. Tue Nov 11 21:05:57 2025 read 2083679 cycles
  187. Tue Nov 11 21:06:00 2025 cycles contain 6749858 unique relations
  188. Tue Nov 11 21:06:19 2025 read 6749858 relations
  189. Tue Nov 11 21:06:52 2025 multiplying 6749858 relations
  190. Tue Nov 11 21:07:34 2025 multiply complete, coefficients have about 325.40 million bits
  191. Tue Nov 11 21:07:35 2025 initial square root is modulo 689807
  192. Tue Nov 11 21:09:29 2025 sqrtTime: 856
  193. Tue Nov 11 21:09:29 2025 p74 factor: 14913756427639816795117457876217814354167654347160503019794225611155542393
  194. Tue Nov 11 21:09:29 2025 p84 factor: 110650228797525215399007002574359833072325771649172415998466255319037817317108717489
  195. Tue Nov 11 21:09:29 2025 elapsed time 01:02:08
  196.  
Tags: math
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