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Nov 13th, 2024
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  1. Wed Nov 13 09:15:42 2024
  2. Wed Nov 13 09:15:42 2024
  3. Wed Nov 13 09:15:42 2024 Msieve v. 1.54 (SVN unknown)
  4. Wed Nov 13 09:15:42 2024 random seeds: d6157dc6 fe18f264
  5. Wed Nov 13 09:15:42 2024 factoring 373690846475341978521997969597710819971107664942982714710696422414709984608436036860270388821663449887833871119558559412419334117471043051075297046673000297384291242728538975931611914124198666316988361199182257 (210 digits)
  6. Wed Nov 13 09:15:43 2024 no P-1/P+1/ECM available, skipping
  7. Wed Nov 13 09:15:43 2024 commencing number field sieve (210-digit input)
  8. Wed Nov 13 09:15:43 2024 R0: 3306152178476546253171046689009562489
  9. Wed Nov 13 09:15:43 2024 R1: -1
  10. Wed Nov 13 09:15:43 2024 A0: -1
  11. Wed Nov 13 09:15:43 2024 A1: 0
  12. Wed Nov 13 09:15:43 2024 A2: 0
  13. Wed Nov 13 09:15:43 2024 A3: 0
  14. Wed Nov 13 09:15:43 2024 A4: 0
  15. Wed Nov 13 09:15:43 2024 A5: 0
  16. Wed Nov 13 09:15:43 2024 A6: 2089
  17. Wed Nov 13 09:15:43 2024 skew 0.36, size 4.064e-11, alpha 0.374, combined = 1.773e-12 rroots = 2
  18. Wed Nov 13 09:15:43 2024
  19. Wed Nov 13 09:15:43 2024 commencing relation filtering
  20. Wed Nov 13 09:15:43 2024 setting target matrix density to 120.0
  21. Wed Nov 13 09:15:43 2024 estimated available RAM is 15954.4 MB
  22. Wed Nov 13 09:15:43 2024 commencing duplicate removal, pass 1
  23. Wed Nov 13 09:33:48 2024 skipped 45 relations with b > 2^32
  24. Wed Nov 13 09:33:48 2024 found 5188528 hash collisions in 109102929 relations
  25. Wed Nov 13 09:34:09 2024 added 1218781 free relations
  26. Wed Nov 13 09:34:09 2024 commencing duplicate removal, pass 2
  27. Wed Nov 13 09:34:49 2024 found 0 duplicates and 110321710 unique relations
  28. Wed Nov 13 09:34:49 2024 memory use: 378.4 MB
  29. Wed Nov 13 09:34:49 2024 reading ideals above 64028672
  30. Wed Nov 13 09:34:49 2024 commencing singleton removal, initial pass
  31. Wed Nov 13 09:48:54 2024 memory use: 2756.0 MB
  32. Wed Nov 13 09:48:54 2024 reading all ideals from disk
  33. Wed Nov 13 09:48:58 2024 memory use: 1908.2 MB
  34. Wed Nov 13 09:49:04 2024 commencing in-memory singleton removal
  35. Wed Nov 13 09:49:10 2024 begin with 110321710 relations and 84715889 unique ideals
  36. Wed Nov 13 09:50:05 2024 reduce to 78725370 relations and 50415547 ideals in 11 passes
  37. Wed Nov 13 09:50:05 2024 max relations containing the same ideal: 34
  38. Wed Nov 13 09:50:11 2024 reading ideals above 720000
  39. Wed Nov 13 09:50:11 2024 commencing singleton removal, initial pass
  40. Wed Nov 13 10:03:00 2024 memory use: 1506.0 MB
  41. Wed Nov 13 10:03:00 2024 reading all ideals from disk
  42. Wed Nov 13 10:03:09 2024 memory use: 2910.3 MB
  43. Wed Nov 13 10:03:18 2024 keeping 57585890 ideals with weight <= 200, target excess is 402652
  44. Wed Nov 13 10:03:28 2024 commencing in-memory singleton removal
  45. Wed Nov 13 10:03:35 2024 begin with 78725370 relations and 57585890 unique ideals
  46. Wed Nov 13 10:04:01 2024 reduce to 78725349 relations and 57585869 ideals in 4 passes
  47. Wed Nov 13 10:04:01 2024 max relations containing the same ideal: 200
  48. Wed Nov 13 10:04:43 2024 removing 7793801 relations and 5793801 ideals in 2000000 cliques
  49. Wed Nov 13 10:04:47 2024 commencing in-memory singleton removal
  50. Wed Nov 13 10:04:55 2024 begin with 70931548 relations and 57585869 unique ideals
  51. Wed Nov 13 10:05:43 2024 reduce to 70307986 relations and 51149073 ideals in 8 passes
  52. Wed Nov 13 10:05:43 2024 max relations containing the same ideal: 194
  53. Wed Nov 13 10:06:18 2024 removing 6280063 relations and 4280063 ideals in 2000000 cliques
  54. Wed Nov 13 10:06:22 2024 commencing in-memory singleton removal
  55. Wed Nov 13 10:06:28 2024 begin with 64027923 relations and 51149073 unique ideals
  56. Wed Nov 13 10:07:01 2024 reduce to 63600115 relations and 46428993 ideals in 6 passes
  57. Wed Nov 13 10:07:01 2024 max relations containing the same ideal: 184
  58. Wed Nov 13 10:07:33 2024 removing 5854588 relations and 3854588 ideals in 2000000 cliques
  59. Wed Nov 13 10:07:37 2024 commencing in-memory singleton removal
  60. Wed Nov 13 10:07:42 2024 begin with 57745527 relations and 46428993 unique ideals
  61. Wed Nov 13 10:08:16 2024 reduce to 57366379 relations and 42184110 ideals in 7 passes
  62. Wed Nov 13 10:08:16 2024 max relations containing the same ideal: 171
  63. Wed Nov 13 10:08:45 2024 removing 5635192 relations and 3635192 ideals in 2000000 cliques
  64. Wed Nov 13 10:08:49 2024 commencing in-memory singleton removal
  65. Wed Nov 13 10:08:53 2024 begin with 51731187 relations and 42184110 unique ideals
  66. Wed Nov 13 10:09:18 2024 reduce to 51369149 relations and 38175586 ideals in 6 passes
  67. Wed Nov 13 10:09:18 2024 max relations containing the same ideal: 163
  68. Wed Nov 13 10:09:45 2024 removing 5498230 relations and 3498230 ideals in 2000000 cliques
  69. Wed Nov 13 10:09:49 2024 commencing in-memory singleton removal
  70. Wed Nov 13 10:09:53 2024 begin with 45870919 relations and 38175586 unique ideals
  71. Wed Nov 13 10:10:19 2024 reduce to 45506127 relations and 34300129 ideals in 7 passes
  72. Wed Nov 13 10:10:19 2024 max relations containing the same ideal: 146
  73. Wed Nov 13 10:10:43 2024 removing 5409324 relations and 3409324 ideals in 2000000 cliques
  74. Wed Nov 13 10:10:46 2024 commencing in-memory singleton removal
  75. Wed Nov 13 10:10:50 2024 begin with 40096803 relations and 34300129 unique ideals
  76. Wed Nov 13 10:11:14 2024 reduce to 39717107 relations and 30496955 ideals in 7 passes
  77. Wed Nov 13 10:11:14 2024 max relations containing the same ideal: 135
  78. Wed Nov 13 10:11:36 2024 removing 5347708 relations and 3347708 ideals in 2000000 cliques
  79. Wed Nov 13 10:11:39 2024 commencing in-memory singleton removal
  80. Wed Nov 13 10:11:42 2024 begin with 34369399 relations and 30496955 unique ideals
  81. Wed Nov 13 10:12:00 2024 reduce to 33962951 relations and 26725621 ideals in 6 passes
  82. Wed Nov 13 10:12:00 2024 max relations containing the same ideal: 122
  83. Wed Nov 13 10:12:18 2024 removing 5304817 relations and 3304817 ideals in 2000000 cliques
  84. Wed Nov 13 10:12:21 2024 commencing in-memory singleton removal
  85. Wed Nov 13 10:12:24 2024 begin with 28658134 relations and 26725621 unique ideals
  86. Wed Nov 13 10:12:42 2024 reduce to 28205343 relations and 22946143 ideals in 7 passes
  87. Wed Nov 13 10:12:42 2024 max relations containing the same ideal: 107
  88. Wed Nov 13 10:12:57 2024 removing 5271842 relations and 3271842 ideals in 2000000 cliques
  89. Wed Nov 13 10:13:00 2024 commencing in-memory singleton removal
  90. Wed Nov 13 10:13:02 2024 begin with 22933501 relations and 22946143 unique ideals
  91. Wed Nov 13 10:13:15 2024 reduce to 22413577 relations and 19124309 ideals in 7 passes
  92. Wed Nov 13 10:13:15 2024 max relations containing the same ideal: 89
  93. Wed Nov 13 10:13:28 2024 removing 5238781 relations and 3238781 ideals in 2000000 cliques
  94. Wed Nov 13 10:13:30 2024 commencing in-memory singleton removal
  95. Wed Nov 13 10:13:32 2024 begin with 17174796 relations and 19124309 unique ideals
  96. Wed Nov 13 10:13:43 2024 reduce to 16540219 relations and 15204714 ideals in 8 passes
  97. Wed Nov 13 10:13:43 2024 max relations containing the same ideal: 75
  98. Wed Nov 13 10:13:52 2024 removing 2579085 relations and 1710657 ideals in 868428 cliques
  99. Wed Nov 13 10:13:54 2024 commencing in-memory singleton removal
  100. Wed Nov 13 10:13:55 2024 begin with 13961134 relations and 15204714 unique ideals
  101. Wed Nov 13 10:14:03 2024 reduce to 13661318 relations and 13179604 ideals in 7 passes
  102. Wed Nov 13 10:14:03 2024 max relations containing the same ideal: 68
  103. Wed Nov 13 10:14:11 2024 removing 83145 relations and 68508 ideals in 14637 cliques
  104. Wed Nov 13 10:14:13 2024 commencing in-memory singleton removal
  105. Wed Nov 13 10:14:14 2024 begin with 13578173 relations and 13179604 unique ideals
  106. Wed Nov 13 10:14:19 2024 reduce to 13577763 relations and 13110685 ideals in 5 passes
  107. Wed Nov 13 10:14:19 2024 max relations containing the same ideal: 68
  108. Wed Nov 13 10:14:22 2024 relations with 0 large ideals: 14878
  109. Wed Nov 13 10:14:22 2024 relations with 1 large ideals: 7896
  110. Wed Nov 13 10:14:22 2024 relations with 2 large ideals: 89249
  111. Wed Nov 13 10:14:22 2024 relations with 3 large ideals: 539924
  112. Wed Nov 13 10:14:22 2024 relations with 4 large ideals: 1710529
  113. Wed Nov 13 10:14:22 2024 relations with 5 large ideals: 3172878
  114. Wed Nov 13 10:14:22 2024 relations with 6 large ideals: 3634501
  115. Wed Nov 13 10:14:22 2024 relations with 7+ large ideals: 4407908
  116. Wed Nov 13 10:14:22 2024 commencing 2-way merge
  117. Wed Nov 13 10:14:32 2024 reduce to 9332592 relation sets and 8865514 unique ideals
  118. Wed Nov 13 10:14:32 2024 commencing full merge
  119. Wed Nov 13 10:18:21 2024 memory use: 1195.9 MB
  120. Wed Nov 13 10:18:23 2024 found 4205781 cycles, need 4183714
  121. Wed Nov 13 10:18:25 2024 weight of 4183714 cycles is about 502313005 (120.06/cycle)
  122. Wed Nov 13 10:18:25 2024 distribution of cycle lengths:
  123. Wed Nov 13 10:18:25 2024 1 relations: 101421
  124. Wed Nov 13 10:18:25 2024 2 relations: 200334
  125. Wed Nov 13 10:18:25 2024 3 relations: 265457
  126. Wed Nov 13 10:18:25 2024 4 relations: 296541
  127. Wed Nov 13 10:18:25 2024 5 relations: 320646
  128. Wed Nov 13 10:18:25 2024 6 relations: 326846
  129. Wed Nov 13 10:18:25 2024 7 relations: 323521
  130. Wed Nov 13 10:18:25 2024 8 relations: 311300
  131. Wed Nov 13 10:18:25 2024 9 relations: 291064
  132. Wed Nov 13 10:18:25 2024 10+ relations: 1746584
  133. Wed Nov 13 10:18:25 2024 heaviest cycle: 28 relations
  134. Wed Nov 13 10:18:27 2024 commencing cycle optimization
  135. Wed Nov 13 10:18:40 2024 start with 38544160 relations
  136. Wed Nov 13 10:20:42 2024 pruned 2104978 relations
  137. Wed Nov 13 10:20:42 2024 memory use: 962.7 MB
  138. Wed Nov 13 10:20:42 2024 distribution of cycle lengths:
  139. Wed Nov 13 10:20:42 2024 1 relations: 101421
  140. Wed Nov 13 10:20:42 2024 2 relations: 205883
  141. Wed Nov 13 10:20:42 2024 3 relations: 278090
  142. Wed Nov 13 10:20:42 2024 4 relations: 311425
  143. Wed Nov 13 10:20:42 2024 5 relations: 340493
  144. Wed Nov 13 10:20:42 2024 6 relations: 347511
  145. Wed Nov 13 10:20:42 2024 7 relations: 345782
  146. Wed Nov 13 10:20:42 2024 8 relations: 330551
  147. Wed Nov 13 10:20:42 2024 9 relations: 308518
  148. Wed Nov 13 10:20:42 2024 10+ relations: 1614040
  149. Wed Nov 13 10:20:42 2024 heaviest cycle: 28 relations
  150. Wed Nov 13 10:20:56 2024 RelProcTime: 3913
  151. Wed Nov 13 10:20:56 2024
  152. Wed Nov 13 10:20:56 2024 commencing linear algebra
  153. Wed Nov 13 10:20:56 2024 using VBITS=512
  154. Wed Nov 13 10:20:57 2024 read 4183714 cycles
  155. Wed Nov 13 10:21:10 2024 cycles contain 13366580 unique relations
  156. Wed Nov 13 10:22:54 2024 read 13366580 relations
  157. Wed Nov 13 10:23:18 2024 using 20 quadratic characters above 4294917295
  158. Wed Nov 13 10:24:42 2024 building initial matrix
  159. Wed Nov 13 10:28:28 2024 memory use: 1683.2 MB
  160. Wed Nov 13 10:28:31 2024 read 4183714 cycles
  161. Wed Nov 13 10:28:32 2024 matrix is 4183537 x 4183714 (1926.7 MB) with weight 556728041 (133.07/col)
  162. Wed Nov 13 10:28:32 2024 sparse part has weight 463229354 (110.72/col)
  163. Wed Nov 13 10:29:39 2024 filtering completed in 2 passes
  164. Wed Nov 13 10:29:40 2024 matrix is 4183462 x 4183623 (1926.7 MB) with weight 556724862 (133.07/col)
  165. Wed Nov 13 10:29:40 2024 sparse part has weight 463228073 (110.72/col)
  166. Wed Nov 13 10:29:55 2024 matrix starts at (0, 0)
  167. Wed Nov 13 10:29:56 2024 matrix is 4183462 x 4183623 (1926.7 MB) with weight 556724862 (133.07/col)
  168. Wed Nov 13 10:29:56 2024 sparse part has weight 463228073 (110.72/col)
  169. Wed Nov 13 10:29:56 2024 saving the first 496 matrix rows for later
  170. Wed Nov 13 10:29:57 2024 matrix includes 512 packed rows
  171. Wed Nov 13 10:30:02 2024 matrix is 4182966 x 4183623 (1811.7 MB) with weight 398333280 (95.21/col)
  172. Wed Nov 13 10:30:02 2024 sparse part has weight 374530865 (89.52/col)
  173. Wed Nov 13 10:30:02 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  174. Wed Nov 13 10:30:02 2024 selected card has CUDA arch 8.6
  175. Wed Nov 13 10:30:43 2024 commencing Lanczos iteration
  176. Wed Nov 13 10:30:43 2024 memory use: 4964.1 MB
  177. Wed Nov 13 10:30:59 2024 linear algebra at 0.4%, ETA 1h 7m
  178. Wed Nov 13 10:30:59 2024 checkpointing every 3810000 dimensions
  179. Wed Nov 13 11:44:30 2024 lanczos halted after 8183 iterations (dim = 4182964)
  180. Wed Nov 13 11:45:36 2024 recovered 31 nontrivial dependencies
  181. Wed Nov 13 11:45:36 2024 BLanczosTime: 5080
  182. Wed Nov 13 11:45:36 2024
  183. Wed Nov 13 11:45:36 2024 commencing square root phase
  184. Wed Nov 13 11:45:36 2024 handling dependencies 1 to 64
  185. Wed Nov 13 11:45:36 2024 reading relations for dependency 1
  186. Wed Nov 13 11:45:37 2024 read 2091496 cycles
  187. Wed Nov 13 11:45:41 2024 cycles contain 6683478 unique relations
  188. Wed Nov 13 11:46:51 2024 read 6683478 relations
  189. Wed Nov 13 11:47:42 2024 multiplying 6683478 relations
  190. Wed Nov 13 11:54:36 2024 multiply complete, coefficients have about 229.58 million bits
  191. Wed Nov 13 11:54:37 2024 initial square root is modulo 173412541
  192. Wed Nov 13 12:03:03 2024 sqrtTime: 1047
  193. Wed Nov 13 12:03:03 2024 p50 factor: 65010781843356555671492489838480248451682545738023
  194. Wed Nov 13 12:03:03 2024 p160 factor: 5748136476434783920320684132283880010555168946134516163100221195079068562153914619452083408496573217853687880941183911066475462072677822200418142682931021184359
  195. Wed Nov 13 12:03:03 2024 elapsed time 02:47:21
  196.  
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