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Dec 11th, 2025
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  1. Thu Dec 11 10:27:33 2025
  2. Thu Dec 11 10:27:33 2025
  3. Thu Dec 11 10:27:33 2025 Msieve v. 1.54 (SVN unknown)
  4. Thu Dec 11 10:27:33 2025 random seeds: d28f8791 85479f4f
  5. Thu Dec 11 10:27:33 2025 factoring 616136096539798287218874147672019638954931720264664047197606867766950029548015865742409661256331146817818643713347974222811049073431886539891250991092386700572370706815748290111234883427167887459554881 (201 digits)
  6. Thu Dec 11 10:27:34 2025 no P-1/P+1/ECM available, skipping
  7. Thu Dec 11 10:27:34 2025 commencing number field sieve (201-digit input)
  8. Thu Dec 11 10:27:34 2025 R0: 811804003166323508017246785410055469648937042
  9. Thu Dec 11 10:27:34 2025 R1: -28492174419765219246071
  10. Thu Dec 11 10:27:34 2025 A0: 1
  11. Thu Dec 11 10:27:34 2025 A1: 3
  12. Thu Dec 11 10:27:34 2025 A2: -3
  13. Thu Dec 11 10:27:34 2025 A3: -4
  14. Thu Dec 11 10:27:34 2025 A4: 1
  15. Thu Dec 11 10:27:34 2025 A5: 1
  16. Thu Dec 11 10:27:34 2025 skew 1.47, size 2.727e-15, alpha 2.379, combined = 1.835e-12 rroots = 5
  17. Thu Dec 11 10:27:34 2025
  18. Thu Dec 11 10:27:34 2025 commencing relation filtering
  19. Thu Dec 11 10:27:34 2025 setting target matrix density to 108.0
  20. Thu Dec 11 10:27:34 2025 estimated available RAM is 7902.4 MB
  21. Thu Dec 11 10:27:34 2025 commencing duplicate removal, pass 1
  22. Thu Dec 11 10:41:25 2025 skipped 22 relations with b > 2^32
  23. Thu Dec 11 10:41:25 2025 found 5257188 hash collisions in 109890261 relations
  24. Thu Dec 11 10:41:25 2025 commencing duplicate removal, pass 2
  25. Thu Dec 11 10:42:10 2025 found 0 duplicates and 109890261 unique relations
  26. Thu Dec 11 10:42:10 2025 memory use: 378.4 MB
  27. Thu Dec 11 10:42:10 2025 reading ideals above 59965440
  28. Thu Dec 11 10:42:10 2025 commencing singleton removal, initial pass
  29. Thu Dec 11 10:52:32 2025 memory use: 2756.0 MB
  30. Thu Dec 11 10:52:32 2025 reading all ideals from disk
  31. Thu Dec 11 10:52:36 2025 memory use: 2039.6 MB
  32. Thu Dec 11 10:52:42 2025 commencing in-memory singleton removal
  33. Thu Dec 11 10:52:47 2025 begin with 109890261 relations and 86235846 unique ideals
  34. Thu Dec 11 10:53:40 2025 reduce to 79628506 relations and 53414275 ideals in 12 passes
  35. Thu Dec 11 10:53:40 2025 max relations containing the same ideal: 68
  36. Thu Dec 11 10:53:45 2025 reading ideals above 720000
  37. Thu Dec 11 10:53:45 2025 commencing singleton removal, initial pass
  38. Thu Dec 11 11:03:13 2025 memory use: 1506.0 MB
  39. Thu Dec 11 11:03:13 2025 reading all ideals from disk
  40. Thu Dec 11 11:03:20 2025 memory use: 2967.5 MB
  41. Thu Dec 11 11:03:26 2025 keeping 60147928 ideals with weight <= 200, target excess is 386905
  42. Thu Dec 11 11:03:34 2025 commencing in-memory singleton removal
  43. Thu Dec 11 11:03:39 2025 begin with 79628506 relations and 60147928 unique ideals
  44. Thu Dec 11 11:03:49 2025 reduce to 79628504 relations and 60147926 ideals in 2 passes
  45. Thu Dec 11 11:03:49 2025 max relations containing the same ideal: 200
  46. Thu Dec 11 11:04:20 2025 removing 7837609 relations and 5837609 ideals in 2000000 cliques
  47. Thu Dec 11 11:04:24 2025 commencing in-memory singleton removal
  48. Thu Dec 11 11:04:30 2025 begin with 71790895 relations and 60147926 unique ideals
  49. Thu Dec 11 11:05:08 2025 reduce to 71124533 relations and 53622691 ideals in 7 passes
  50. Thu Dec 11 11:05:08 2025 max relations containing the same ideal: 193
  51. Thu Dec 11 11:05:39 2025 removing 6350423 relations and 4350423 ideals in 2000000 cliques
  52. Thu Dec 11 11:05:42 2025 commencing in-memory singleton removal
  53. Thu Dec 11 11:05:48 2025 begin with 64774110 relations and 53622691 unique ideals
  54. Thu Dec 11 11:06:22 2025 reduce to 64313702 relations and 48798547 ideals in 7 passes
  55. Thu Dec 11 11:06:22 2025 max relations containing the same ideal: 183
  56. Thu Dec 11 11:06:50 2025 removing 5941688 relations and 3941688 ideals in 2000000 cliques
  57. Thu Dec 11 11:06:53 2025 commencing in-memory singleton removal
  58. Thu Dec 11 11:06:58 2025 begin with 58372014 relations and 48798547 unique ideals
  59. Thu Dec 11 11:07:25 2025 reduce to 57953395 relations and 44425967 ideals in 6 passes
  60. Thu Dec 11 11:07:25 2025 max relations containing the same ideal: 175
  61. Thu Dec 11 11:07:51 2025 removing 5740989 relations and 3740989 ideals in 2000000 cliques
  62. Thu Dec 11 11:07:54 2025 commencing in-memory singleton removal
  63. Thu Dec 11 11:07:58 2025 begin with 52212406 relations and 44425967 unique ideals
  64. Thu Dec 11 11:08:25 2025 reduce to 51799389 relations and 40258811 ideals in 7 passes
  65. Thu Dec 11 11:08:25 2025 max relations containing the same ideal: 159
  66. Thu Dec 11 11:08:47 2025 removing 5632892 relations and 3632892 ideals in 2000000 cliques
  67. Thu Dec 11 11:08:50 2025 commencing in-memory singleton removal
  68. Thu Dec 11 11:08:54 2025 begin with 46166497 relations and 40258811 unique ideals
  69. Thu Dec 11 11:09:17 2025 reduce to 45737783 relations and 36182210 ideals in 7 passes
  70. Thu Dec 11 11:09:17 2025 max relations containing the same ideal: 149
  71. Thu Dec 11 11:09:37 2025 removing 5579380 relations and 3579380 ideals in 2000000 cliques
  72. Thu Dec 11 11:09:40 2025 commencing in-memory singleton removal
  73. Thu Dec 11 11:09:43 2025 begin with 40158403 relations and 36182210 unique ideals
  74. Thu Dec 11 11:10:07 2025 reduce to 39688265 relations and 32114484 ideals in 8 passes
  75. Thu Dec 11 11:10:07 2025 max relations containing the same ideal: 142
  76. Thu Dec 11 11:10:25 2025 removing 5569572 relations and 3569572 ideals in 2000000 cliques
  77. Thu Dec 11 11:10:27 2025 commencing in-memory singleton removal
  78. Thu Dec 11 11:10:30 2025 begin with 34118693 relations and 32114484 unique ideals
  79. Thu Dec 11 11:10:47 2025 reduce to 33581622 relations and 27984163 ideals in 7 passes
  80. Thu Dec 11 11:10:47 2025 max relations containing the same ideal: 119
  81. Thu Dec 11 11:11:02 2025 removing 5600117 relations and 3600117 ideals in 2000000 cliques
  82. Thu Dec 11 11:11:05 2025 commencing in-memory singleton removal
  83. Thu Dec 11 11:11:07 2025 begin with 27981505 relations and 27984163 unique ideals
  84. Thu Dec 11 11:11:22 2025 reduce to 27334677 relations and 23703646 ideals in 8 passes
  85. Thu Dec 11 11:11:22 2025 max relations containing the same ideal: 104
  86. Thu Dec 11 11:11:35 2025 removing 5671709 relations and 3671709 ideals in 2000000 cliques
  87. Thu Dec 11 11:11:37 2025 commencing in-memory singleton removal
  88. Thu Dec 11 11:11:39 2025 begin with 21662968 relations and 23703646 unique ideals
  89. Thu Dec 11 11:11:51 2025 reduce to 20829093 relations and 19144211 ideals in 8 passes
  90. Thu Dec 11 11:11:51 2025 max relations containing the same ideal: 89
  91. Thu Dec 11 11:12:01 2025 removing 3922244 relations and 2686172 ideals in 1236072 cliques
  92. Thu Dec 11 11:12:02 2025 commencing in-memory singleton removal
  93. Thu Dec 11 11:12:04 2025 begin with 16906849 relations and 19144211 unique ideals
  94. Thu Dec 11 11:12:13 2025 reduce to 16313362 relations and 15831124 ideals in 8 passes
  95. Thu Dec 11 11:12:13 2025 max relations containing the same ideal: 77
  96. Thu Dec 11 11:12:20 2025 removing 216741 relations and 183313 ideals in 33428 cliques
  97. Thu Dec 11 11:12:21 2025 commencing in-memory singleton removal
  98. Thu Dec 11 11:12:23 2025 begin with 16096621 relations and 15831124 unique ideals
  99. Thu Dec 11 11:12:28 2025 reduce to 16094305 relations and 15645490 ideals in 5 passes
  100. Thu Dec 11 11:12:28 2025 max relations containing the same ideal: 77
  101. Thu Dec 11 11:12:31 2025 relations with 0 large ideals: 32197
  102. Thu Dec 11 11:12:31 2025 relations with 1 large ideals: 4978
  103. Thu Dec 11 11:12:31 2025 relations with 2 large ideals: 60690
  104. Thu Dec 11 11:12:31 2025 relations with 3 large ideals: 409093
  105. Thu Dec 11 11:12:31 2025 relations with 4 large ideals: 1497859
  106. Thu Dec 11 11:12:31 2025 relations with 5 large ideals: 3228193
  107. Thu Dec 11 11:12:31 2025 relations with 6 large ideals: 4857446
  108. Thu Dec 11 11:12:31 2025 relations with 7+ large ideals: 6003849
  109. Thu Dec 11 11:12:31 2025 commencing 2-way merge
  110. Thu Dec 11 11:12:42 2025 reduce to 10577784 relation sets and 10128969 unique ideals
  111. Thu Dec 11 11:12:42 2025 commencing full merge
  112. Thu Dec 11 11:17:35 2025 memory use: 1411.5 MB
  113. Thu Dec 11 11:17:36 2025 found 4862020 cycles, need 4851169
  114. Thu Dec 11 11:17:38 2025 weight of 4851169 cycles is about 524303701 (108.08/cycle)
  115. Thu Dec 11 11:17:38 2025 distribution of cycle lengths:
  116. Thu Dec 11 11:17:38 2025 1 relations: 258782
  117. Thu Dec 11 11:17:38 2025 2 relations: 325699
  118. Thu Dec 11 11:17:38 2025 3 relations: 357049
  119. Thu Dec 11 11:17:38 2025 4 relations: 358808
  120. Thu Dec 11 11:17:38 2025 5 relations: 361617
  121. Thu Dec 11 11:17:38 2025 6 relations: 355830
  122. Thu Dec 11 11:17:38 2025 7 relations: 345238
  123. Thu Dec 11 11:17:38 2025 8 relations: 325084
  124. Thu Dec 11 11:17:38 2025 9 relations: 302709
  125. Thu Dec 11 11:17:38 2025 10+ relations: 1860353
  126. Thu Dec 11 11:17:38 2025 heaviest cycle: 28 relations
  127. Thu Dec 11 11:17:40 2025 commencing cycle optimization
  128. Thu Dec 11 11:17:51 2025 start with 42284328 relations
  129. Thu Dec 11 11:19:36 2025 pruned 1992026 relations
  130. Thu Dec 11 11:19:36 2025 memory use: 1101.0 MB
  131. Thu Dec 11 11:19:36 2025 distribution of cycle lengths:
  132. Thu Dec 11 11:19:36 2025 1 relations: 258782
  133. Thu Dec 11 11:19:36 2025 2 relations: 332061
  134. Thu Dec 11 11:19:36 2025 3 relations: 370500
  135. Thu Dec 11 11:19:36 2025 4 relations: 373144
  136. Thu Dec 11 11:19:36 2025 5 relations: 380044
  137. Thu Dec 11 11:19:36 2025 6 relations: 373407
  138. Thu Dec 11 11:19:36 2025 7 relations: 363341
  139. Thu Dec 11 11:19:36 2025 8 relations: 341829
  140. Thu Dec 11 11:19:36 2025 9 relations: 317199
  141. Thu Dec 11 11:19:36 2025 10+ relations: 1740862
  142. Thu Dec 11 11:19:36 2025 heaviest cycle: 28 relations
  143. Thu Dec 11 11:19:48 2025 RelProcTime: 3134
  144. Thu Dec 11 11:19:48 2025 elapsed time 00:52:15
  145. Thu Dec 11 12:51:56 2025
  146. Thu Dec 11 12:51:56 2025
  147. Thu Dec 11 12:51:56 2025 Msieve v. 1.54 (SVN unknown)
  148. Thu Dec 11 12:51:56 2025 random seeds: a04fbeee 0c37dae1
  149. Thu Dec 11 12:51:56 2025 factoring 616136096539798287218874147672019638954931720264664047197606867766950029548015865742409661256331146817818643713347974222811049073431886539891250991092386700572370706815748290111234883427167887459554881 (201 digits)
  150. Thu Dec 11 12:51:57 2025 no P-1/P+1/ECM available, skipping
  151. Thu Dec 11 12:51:57 2025 commencing number field sieve (201-digit input)
  152. Thu Dec 11 12:51:57 2025 R0: 811804003166323508017246785410055469648937042
  153. Thu Dec 11 12:51:57 2025 R1: -28492174419765219246071
  154. Thu Dec 11 12:51:57 2025 A0: 1
  155. Thu Dec 11 12:51:57 2025 A1: 3
  156. Thu Dec 11 12:51:57 2025 A2: -3
  157. Thu Dec 11 12:51:57 2025 A3: -4
  158. Thu Dec 11 12:51:57 2025 A4: 1
  159. Thu Dec 11 12:51:57 2025 A5: 1
  160. Thu Dec 11 12:51:57 2025 skew 1.47, size 2.727e-15, alpha 2.379, combined = 1.835e-12 rroots = 5
  161. Thu Dec 11 12:51:57 2025
  162. Thu Dec 11 12:51:57 2025 commencing linear algebra
  163. Thu Dec 11 12:51:57 2025 using VBITS=512
  164. Thu Dec 11 12:51:58 2025 read 4851169 cycles
  165. Thu Dec 11 12:52:09 2025 cycles contain 15845893 unique relations
  166. Thu Dec 11 12:53:51 2025 read 15845893 relations
  167. Thu Dec 11 12:54:19 2025 using 20 quadratic characters above 4294917295
  168. Thu Dec 11 12:55:44 2025 building initial matrix
  169. Thu Dec 11 12:59:07 2025 memory use: 1915.1 MB
  170. Thu Dec 11 12:59:09 2025 read 4851169 cycles
  171. Thu Dec 11 12:59:10 2025 matrix is 4850992 x 4851169 (2075.1 MB) with weight 593282172 (122.30/col)
  172. Thu Dec 11 12:59:10 2025 sparse part has weight 490600009 (101.13/col)
  173. Thu Dec 11 13:00:17 2025 filtering completed in 2 passes
  174. Thu Dec 11 13:00:18 2025 matrix is 4850867 x 4851005 (2075.0 MB) with weight 593277254 (122.30/col)
  175. Thu Dec 11 13:00:18 2025 sparse part has weight 490598248 (101.13/col)
  176. Thu Dec 11 13:00:33 2025 matrix starts at (0, 0)
  177. Thu Dec 11 13:00:34 2025 matrix is 4850867 x 4851005 (2075.0 MB) with weight 593277254 (122.30/col)
  178. Thu Dec 11 13:00:34 2025 sparse part has weight 490598248 (101.13/col)
  179. Thu Dec 11 13:00:34 2025 saving the first 496 matrix rows for later
  180. Thu Dec 11 13:00:36 2025 matrix includes 512 packed rows
  181. Thu Dec 11 13:00:39 2025 matrix is 4850371 x 4851005 (1962.1 MB) with weight 421408143 (86.87/col)
  182. Thu Dec 11 13:00:39 2025 sparse part has weight 397917106 (82.03/col)
  183. Thu Dec 11 13:00:40 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  184. Thu Dec 11 13:00:40 2025 selected card has CUDA arch 8.6
  185. Thu Dec 11 13:01:27 2025 commencing Lanczos iteration
  186. Thu Dec 11 13:01:27 2025 memory use: 5478.6 MB
  187. Thu Dec 11 13:02:06 2025 linear algebra at 0.3%, ETA 3h19m
  188. Thu Dec 11 13:02:07 2025 checkpointing every 1470000 dimensions
  189. Thu Dec 11 14:35:59 2025 lanczos halted after 9489 iterations (dim = 4850369)
  190. Thu Dec 11 14:37:32 2025 recovered 34 nontrivial dependencies
  191. Thu Dec 11 14:37:32 2025 BLanczosTime: 6335
  192. Thu Dec 11 14:37:32 2025
  193. Thu Dec 11 14:37:32 2025 commencing square root phase
  194. Thu Dec 11 14:37:32 2025 handling dependencies 1 to 64
  195. Thu Dec 11 14:37:32 2025 reading relations for dependency 1
  196. Thu Dec 11 14:37:34 2025 read 2424493 cycles
  197. Thu Dec 11 14:37:39 2025 cycles contain 7919334 unique relations
  198. Thu Dec 11 14:38:43 2025 read 7919334 relations
  199. Thu Dec 11 14:39:23 2025 multiplying 7919334 relations
  200. Thu Dec 11 14:42:40 2025 multiply complete, coefficients have about 193.99 million bits
  201. Thu Dec 11 14:42:41 2025 initial square root is modulo 9158593
  202. Thu Dec 11 14:46:44 2025 GCD is 1, no factor found
  203. Thu Dec 11 14:46:44 2025 reading relations for dependency 2
  204. Thu Dec 11 14:46:45 2025 read 2424481 cycles
  205. Thu Dec 11 14:46:50 2025 cycles contain 7920964 unique relations
  206. Thu Dec 11 14:47:49 2025 read 7920964 relations
  207. Thu Dec 11 14:48:25 2025 multiplying 7920964 relations
  208. Thu Dec 11 14:51:33 2025 multiply complete, coefficients have about 194.02 million bits
  209. Thu Dec 11 14:51:34 2025 initial square root is modulo 9184309
  210. Thu Dec 11 14:55:25 2025 sqrtTime: 1073
  211. Thu Dec 11 14:55:25 2025 p101 factor: 16133605143487725704521226129305071862825632796193489791654129567072383609867743695428134100916437557
  212. Thu Dec 11 14:55:25 2025 p101 factor: 38189610509248114708732455406022741661538530876103038526228633302014573010517231985622047172040541533
  213. Thu Dec 11 14:55:25 2025 elapsed time 02:03:29
  214.  
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