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Aug 14th, 2024
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  1. Wed Aug 14 12:00:28 2024
  2. Wed Aug 14 12:00:28 2024
  3. Wed Aug 14 12:00:28 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Aug 14 12:00:28 2024 random seeds: b374db87 04b76c46
  5. Wed Aug 14 12:00:28 2024 factoring 214622379315597706412433881519535397740652718262864244078987797020272995632736424114230892028551763100908528831918434151731097817114517893922880397333675522622605813734275636795577179893550896845725577290463189 (210 digits)
  6. Wed Aug 14 12:00:30 2024 no P-1/P+1/ECM available, skipping
  7. Wed Aug 14 12:00:30 2024 commencing number field sieve (210-digit input)
  8. Wed Aug 14 12:00:30 2024 R0: 1056466915233895704871840884707379049
  9. Wed Aug 14 12:00:30 2024 R1: -1
  10. Wed Aug 14 12:00:30 2024 A0: -1
  11. Wed Aug 14 12:00:30 2024 A1: 0
  12. Wed Aug 14 12:00:30 2024 A2: 0
  13. Wed Aug 14 12:00:30 2024 A3: 0
  14. Wed Aug 14 12:00:30 2024 A4: 0
  15. Wed Aug 14 12:00:30 2024 A5: 0
  16. Wed Aug 14 12:00:30 2024 A6: 4003
  17. Wed Aug 14 12:00:30 2024 skew 0.32, size 5.802e-11, alpha -0.110, combined = 2.284e-12 rroots = 2
  18. Wed Aug 14 12:00:30 2024
  19. Wed Aug 14 12:00:30 2024 commencing relation filtering
  20. Wed Aug 14 12:00:30 2024 setting target matrix density to 120.0
  21. Wed Aug 14 12:00:30 2024 estimated available RAM is 15960.0 MB
  22. Wed Aug 14 12:00:30 2024 commencing duplicate removal, pass 1
  23. Wed Aug 14 12:13:43 2024 error -11 reading relation 90038836
  24. Wed Aug 14 12:13:43 2024 error -11 reading relation 90039197
  25. Wed Aug 14 12:13:43 2024 error -11 reading relation 90039303
  26. Wed Aug 14 12:13:43 2024 error -1 reading relation 90040066
  27. Wed Aug 14 12:13:43 2024 error -11 reading relation 90040243
  28. Wed Aug 14 12:13:43 2024 error -11 reading relation 90041006
  29. Wed Aug 14 12:13:43 2024 error -11 reading relation 90041422
  30. Wed Aug 14 12:13:43 2024 error -15 reading relation 90042201
  31. Wed Aug 14 12:13:43 2024 error -15 reading relation 90042308
  32. Wed Aug 14 12:13:43 2024 error -11 reading relation 90042620
  33. Wed Aug 14 12:13:43 2024 error -11 reading relation 90042899
  34. Wed Aug 14 12:13:43 2024 error -15 reading relation 90043744
  35. Wed Aug 14 12:13:43 2024 error -15 reading relation 90043912
  36. Wed Aug 14 12:13:43 2024 error -11 reading relation 90044714
  37. Wed Aug 14 12:13:43 2024 error -15 reading relation 90045413
  38. Wed Aug 14 12:13:43 2024 error -11 reading relation 90046404
  39. Wed Aug 14 12:13:43 2024 error -1 reading relation 90046614
  40. Wed Aug 14 12:13:43 2024 error -11 reading relation 90046851
  41. Wed Aug 14 12:13:43 2024 error -15 reading relation 90047161
  42. Wed Aug 14 12:13:43 2024 error -15 reading relation 90047340
  43. Wed Aug 14 12:13:43 2024 error -15 reading relation 90047411
  44. Wed Aug 14 12:13:43 2024 error -15 reading relation 90047604
  45. Wed Aug 14 12:13:43 2024 error -6 reading relation 90048479
  46. Wed Aug 14 12:13:43 2024 error -1 reading relation 90048650
  47. Wed Aug 14 12:13:43 2024 error -11 reading relation 90048980
  48. Wed Aug 14 12:13:43 2024 error -11 reading relation 90050628
  49. Wed Aug 14 12:13:43 2024 error -15 reading relation 90052807
  50. Wed Aug 14 12:13:43 2024 error -11 reading relation 90054391
  51. Wed Aug 14 12:13:43 2024 error -15 reading relation 90055076
  52. Wed Aug 14 12:13:43 2024 error -15 reading relation 90055147
  53. Wed Aug 14 12:13:43 2024 error -15 reading relation 90055546
  54. Wed Aug 14 12:13:43 2024 error -9 reading relation 90056257
  55. Wed Aug 14 12:13:43 2024 error -15 reading relation 90058293
  56. Wed Aug 14 12:13:43 2024 error -15 reading relation 90059612
  57. Wed Aug 14 12:13:43 2024 error -15 reading relation 90059809
  58. Wed Aug 14 12:13:43 2024 error -1 reading relation 90060152
  59. Wed Aug 14 12:13:43 2024 error -15 reading relation 90060912
  60. Wed Aug 14 12:13:43 2024 error -11 reading relation 90061142
  61. Wed Aug 14 12:13:43 2024 error -11 reading relation 90061543
  62. Wed Aug 14 12:13:43 2024 error -9 reading relation 90062505
  63. Wed Aug 14 12:13:43 2024 error -11 reading relation 90062752
  64. Wed Aug 14 12:13:43 2024 error -15 reading relation 90063617
  65. Wed Aug 14 12:13:43 2024 error -15 reading relation 90063723
  66. Wed Aug 14 12:16:00 2024 skipped 149 relations with b > 2^32
  67. Wed Aug 14 12:16:00 2024 skipped 20 relations with composite factors
  68. Wed Aug 14 12:16:00 2024 found 5369101 hash collisions in 111061728 relations
  69. Wed Aug 14 12:16:19 2024 added 1218462 free relations
  70. Wed Aug 14 12:16:19 2024 commencing duplicate removal, pass 2
  71. Wed Aug 14 12:16:58 2024 found 0 duplicates and 112280190 unique relations
  72. Wed Aug 14 12:16:58 2024 memory use: 378.4 MB
  73. Wed Aug 14 12:16:58 2024 reading ideals above 64028672
  74. Wed Aug 14 12:16:58 2024 commencing singleton removal, initial pass
  75. Wed Aug 14 12:29:55 2024 memory use: 2756.0 MB
  76. Wed Aug 14 12:29:55 2024 reading all ideals from disk
  77. Wed Aug 14 12:30:00 2024 memory use: 1934.3 MB
  78. Wed Aug 14 12:30:05 2024 commencing in-memory singleton removal
  79. Wed Aug 14 12:30:11 2024 begin with 112280190 relations and 85063555 unique ideals
  80. Wed Aug 14 12:31:04 2024 reduce to 81029378 relations and 51191633 ideals in 11 passes
  81. Wed Aug 14 12:31:04 2024 max relations containing the same ideal: 74
  82. Wed Aug 14 12:31:12 2024 reading ideals above 720000
  83. Wed Aug 14 12:31:12 2024 commencing singleton removal, initial pass
  84. Wed Aug 14 12:43:25 2024 memory use: 1506.0 MB
  85. Wed Aug 14 12:43:25 2024 reading all ideals from disk
  86. Wed Aug 14 12:43:33 2024 memory use: 2988.4 MB
  87. Wed Aug 14 12:43:44 2024 keeping 58353681 ideals with weight <= 200, target excess is 410372
  88. Wed Aug 14 12:43:54 2024 commencing in-memory singleton removal
  89. Wed Aug 14 12:44:02 2024 begin with 81029380 relations and 58353681 unique ideals
  90. Wed Aug 14 12:44:17 2024 reduce to 81029375 relations and 58353673 ideals in 2 passes
  91. Wed Aug 14 12:44:17 2024 max relations containing the same ideal: 200
  92. Wed Aug 14 12:45:03 2024 removing 7701435 relations and 5701435 ideals in 2000000 cliques
  93. Wed Aug 14 12:45:06 2024 commencing in-memory singleton removal
  94. Wed Aug 14 12:45:15 2024 begin with 73327940 relations and 58353673 unique ideals
  95. Wed Aug 14 12:46:03 2024 reduce to 72733148 relations and 52039257 ideals in 7 passes
  96. Wed Aug 14 12:46:03 2024 max relations containing the same ideal: 195
  97. Wed Aug 14 12:46:43 2024 removing 6209130 relations and 4209130 ideals in 2000000 cliques
  98. Wed Aug 14 12:46:47 2024 commencing in-memory singleton removal
  99. Wed Aug 14 12:46:54 2024 begin with 66524018 relations and 52039257 unique ideals
  100. Wed Aug 14 12:47:30 2024 reduce to 66117746 relations and 47412555 ideals in 6 passes
  101. Wed Aug 14 12:47:30 2024 max relations containing the same ideal: 187
  102. Wed Aug 14 12:48:08 2024 removing 5784423 relations and 3784423 ideals in 2000000 cliques
  103. Wed Aug 14 12:48:12 2024 commencing in-memory singleton removal
  104. Wed Aug 14 12:48:17 2024 begin with 60333323 relations and 47412555 unique ideals
  105. Wed Aug 14 12:48:50 2024 reduce to 59978898 relations and 43263563 ideals in 6 passes
  106. Wed Aug 14 12:48:50 2024 max relations containing the same ideal: 175
  107. Wed Aug 14 12:49:24 2024 removing 5565823 relations and 3565823 ideals in 2000000 cliques
  108. Wed Aug 14 12:49:28 2024 commencing in-memory singleton removal
  109. Wed Aug 14 12:49:33 2024 begin with 54413075 relations and 43263563 unique ideals
  110. Wed Aug 14 12:50:08 2024 reduce to 54075915 relations and 39350401 ideals in 7 passes
  111. Wed Aug 14 12:50:08 2024 max relations containing the same ideal: 163
  112. Wed Aug 14 12:50:39 2024 removing 5428990 relations and 3428990 ideals in 2000000 cliques
  113. Wed Aug 14 12:50:42 2024 commencing in-memory singleton removal
  114. Wed Aug 14 12:50:47 2024 begin with 48646925 relations and 39350401 unique ideals
  115. Wed Aug 14 12:51:13 2024 reduce to 48312552 relations and 35576127 ideals in 6 passes
  116. Wed Aug 14 12:51:13 2024 max relations containing the same ideal: 155
  117. Wed Aug 14 12:51:40 2024 removing 5334702 relations and 3334702 ideals in 2000000 cliques
  118. Wed Aug 14 12:51:43 2024 commencing in-memory singleton removal
  119. Wed Aug 14 12:51:47 2024 begin with 42977850 relations and 35576127 unique ideals
  120. Wed Aug 14 12:52:10 2024 reduce to 42634729 relations and 31886173 ideals in 6 passes
  121. Wed Aug 14 12:52:10 2024 max relations containing the same ideal: 139
  122. Wed Aug 14 12:52:34 2024 removing 5267760 relations and 3267760 ideals in 2000000 cliques
  123. Wed Aug 14 12:52:37 2024 commencing in-memory singleton removal
  124. Wed Aug 14 12:52:41 2024 begin with 37366969 relations and 31886173 unique ideals
  125. Wed Aug 14 12:53:03 2024 reduce to 37005340 relations and 28242357 ideals in 7 passes
  126. Wed Aug 14 12:53:03 2024 max relations containing the same ideal: 126
  127. Wed Aug 14 12:53:24 2024 removing 5219941 relations and 3219941 ideals in 2000000 cliques
  128. Wed Aug 14 12:53:27 2024 commencing in-memory singleton removal
  129. Wed Aug 14 12:53:30 2024 begin with 31785399 relations and 28242357 unique ideals
  130. Wed Aug 14 12:53:47 2024 reduce to 31392327 relations and 24611747 ideals in 7 passes
  131. Wed Aug 14 12:53:47 2024 max relations containing the same ideal: 113
  132. Wed Aug 14 12:54:04 2024 removing 5180251 relations and 3180251 ideals in 2000000 cliques
  133. Wed Aug 14 12:54:06 2024 commencing in-memory singleton removal
  134. Wed Aug 14 12:54:08 2024 begin with 26212076 relations and 24611747 unique ideals
  135. Wed Aug 14 12:54:23 2024 reduce to 25773025 relations and 20969571 ideals in 7 passes
  136. Wed Aug 14 12:54:23 2024 max relations containing the same ideal: 101
  137. Wed Aug 14 12:54:37 2024 removing 5146450 relations and 3146450 ideals in 2000000 cliques
  138. Wed Aug 14 12:54:39 2024 commencing in-memory singleton removal
  139. Wed Aug 14 12:54:41 2024 begin with 20626575 relations and 20969571 unique ideals
  140. Wed Aug 14 12:54:51 2024 reduce to 20119354 relations and 17284119 ideals in 7 passes
  141. Wed Aug 14 12:54:51 2024 max relations containing the same ideal: 88
  142. Wed Aug 14 12:55:02 2024 removing 5097767 relations and 3097767 ideals in 2000000 cliques
  143. Wed Aug 14 12:55:04 2024 commencing in-memory singleton removal
  144. Wed Aug 14 12:55:05 2024 begin with 15021587 relations and 17284119 unique ideals
  145. Wed Aug 14 12:55:14 2024 reduce to 14387501 relations and 13501512 ideals in 8 passes
  146. Wed Aug 14 12:55:14 2024 max relations containing the same ideal: 71
  147. Wed Aug 14 12:55:22 2024 removing 1345559 relations and 935602 ideals in 409957 cliques
  148. Wed Aug 14 12:55:23 2024 commencing in-memory singleton removal
  149. Wed Aug 14 12:55:24 2024 begin with 13041942 relations and 13501512 unique ideals
  150. Wed Aug 14 12:55:31 2024 reduce to 12918015 relations and 12438253 ideals in 7 passes
  151. Wed Aug 14 12:55:31 2024 max relations containing the same ideal: 65
  152. Wed Aug 14 12:55:40 2024 relations with 0 large ideals: 14792
  153. Wed Aug 14 12:55:40 2024 relations with 1 large ideals: 9092
  154. Wed Aug 14 12:55:40 2024 relations with 2 large ideals: 95642
  155. Wed Aug 14 12:55:40 2024 relations with 3 large ideals: 560163
  156. Wed Aug 14 12:55:40 2024 relations with 4 large ideals: 1720779
  157. Wed Aug 14 12:55:40 2024 relations with 5 large ideals: 3107632
  158. Wed Aug 14 12:55:40 2024 relations with 6 large ideals: 3441058
  159. Wed Aug 14 12:55:40 2024 relations with 7+ large ideals: 3968857
  160. Wed Aug 14 12:55:40 2024 commencing 2-way merge
  161. Wed Aug 14 12:55:50 2024 reduce to 9016454 relation sets and 8536692 unique ideals
  162. Wed Aug 14 12:55:50 2024 commencing full merge
  163. Wed Aug 14 12:59:33 2024 memory use: 1145.0 MB
  164. Wed Aug 14 12:59:34 2024 found 4053409 cycles, need 4026892
  165. Wed Aug 14 12:59:35 2024 weight of 4026892 cycles is about 483864088 (120.16/cycle)
  166. Wed Aug 14 12:59:35 2024 distribution of cycle lengths:
  167. Wed Aug 14 12:59:35 2024 1 relations: 87902
  168. Wed Aug 14 12:59:35 2024 2 relations: 184928
  169. Wed Aug 14 12:59:35 2024 3 relations: 251492
  170. Wed Aug 14 12:59:35 2024 4 relations: 284061
  171. Wed Aug 14 12:59:35 2024 5 relations: 308833
  172. Wed Aug 14 12:59:35 2024 6 relations: 315122
  173. Wed Aug 14 12:59:35 2024 7 relations: 313848
  174. Wed Aug 14 12:59:35 2024 8 relations: 300725
  175. Wed Aug 14 12:59:36 2024 9 relations: 282263
  176. Wed Aug 14 12:59:36 2024 10+ relations: 1697718
  177. Wed Aug 14 12:59:36 2024 heaviest cycle: 28 relations
  178. Wed Aug 14 12:59:37 2024 commencing cycle optimization
  179. Wed Aug 14 12:59:47 2024 start with 37320597 relations
  180. Wed Aug 14 13:01:24 2024 pruned 2106222 relations
  181. Wed Aug 14 13:01:24 2024 memory use: 922.2 MB
  182. Wed Aug 14 13:01:24 2024 distribution of cycle lengths:
  183. Wed Aug 14 13:01:24 2024 1 relations: 87902
  184. Wed Aug 14 13:01:24 2024 2 relations: 190388
  185. Wed Aug 14 13:01:24 2024 3 relations: 263634
  186. Wed Aug 14 13:01:24 2024 4 relations: 299225
  187. Wed Aug 14 13:01:24 2024 5 relations: 328897
  188. Wed Aug 14 13:01:24 2024 6 relations: 336134
  189. Wed Aug 14 13:01:24 2024 7 relations: 335964
  190. Wed Aug 14 13:01:24 2024 8 relations: 319888
  191. Wed Aug 14 13:01:24 2024 9 relations: 299560
  192. Wed Aug 14 13:01:24 2024 10+ relations: 1565300
  193. Wed Aug 14 13:01:24 2024 heaviest cycle: 28 relations
  194. Wed Aug 14 13:01:35 2024 RelProcTime: 3665
  195. Wed Aug 14 13:01:35 2024
  196. Wed Aug 14 13:01:35 2024 commencing linear algebra
  197. Wed Aug 14 13:01:35 2024 using VBITS=512
  198. Wed Aug 14 13:01:35 2024 read 4026892 cycles
  199. Wed Aug 14 13:01:45 2024 cycles contain 12690813 unique relations
  200. Wed Aug 14 13:03:00 2024 read 12690813 relations
  201. Wed Aug 14 13:03:28 2024 using 20 quadratic characters above 4294917295
  202. Wed Aug 14 13:04:34 2024 building initial matrix
  203. Wed Aug 14 13:08:19 2024 memory use: 1660.7 MB
  204. Wed Aug 14 13:08:21 2024 read 4026892 cycles
  205. Wed Aug 14 13:08:22 2024 matrix is 4026715 x 4026892 (1865.9 MB) with weight 554685506 (137.75/col)
  206. Wed Aug 14 13:08:22 2024 sparse part has weight 444827257 (110.46/col)
  207. Wed Aug 14 13:09:21 2024 filtering completed in 2 passes
  208. Wed Aug 14 13:09:22 2024 matrix is 4026644 x 4026807 (1865.8 MB) with weight 554682027 (137.75/col)
  209. Wed Aug 14 13:09:22 2024 sparse part has weight 444825999 (110.47/col)
  210. Wed Aug 14 13:09:35 2024 matrix starts at (0, 0)
  211. Wed Aug 14 13:09:36 2024 matrix is 4026644 x 4026807 (1865.8 MB) with weight 554682027 (137.75/col)
  212. Wed Aug 14 13:09:36 2024 sparse part has weight 444825999 (110.47/col)
  213. Wed Aug 14 13:09:36 2024 saving the first 496 matrix rows for later
  214. Wed Aug 14 13:09:37 2024 matrix includes 512 packed rows
  215. Wed Aug 14 13:09:40 2024 matrix is 4026148 x 4026807 (1741.7 MB) with weight 383398794 (95.21/col)
  216. Wed Aug 14 13:09:40 2024 sparse part has weight 359928931 (89.38/col)
  217. Wed Aug 14 13:09:41 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  218. Wed Aug 14 13:09:41 2024 selected card has CUDA arch 8.6
  219. Wed Aug 14 13:10:11 2024 commencing Lanczos iteration
  220. Wed Aug 14 13:10:11 2024 memory use: 4743.0 MB
  221. Wed Aug 14 13:10:26 2024 linear algebra at 0.4%, ETA 1h 0m
  222. Wed Aug 14 13:10:27 2024 checkpointing every 3810000 dimensions
  223. Wed Aug 14 14:14:44 2024 lanczos halted after 7877 iterations (dim = 4026148)
  224. Wed Aug 14 14:15:43 2024 recovered 37 nontrivial dependencies
  225. Wed Aug 14 14:15:44 2024 BLanczosTime: 4449
  226. Wed Aug 14 14:15:44 2024
  227. Wed Aug 14 14:15:44 2024 commencing square root phase
  228. Wed Aug 14 14:15:44 2024 handling dependencies 1 to 64
  229. Wed Aug 14 14:15:44 2024 reading relations for dependency 1
  230. Wed Aug 14 14:15:44 2024 read 2013834 cycles
  231. Wed Aug 14 14:15:49 2024 cycles contain 6345678 unique relations
  232. Wed Aug 14 14:16:41 2024 read 6345678 relations
  233. Wed Aug 14 14:17:15 2024 multiplying 6345678 relations
  234. Wed Aug 14 14:23:13 2024 multiply complete, coefficients have about 223.72 million bits
  235. Wed Aug 14 14:23:14 2024 initial square root is modulo 106825189
  236. Wed Aug 14 14:30:32 2024 sqrtTime: 888
  237. Wed Aug 14 14:30:32 2024 p53 factor: 10573669951912213640006611000326230720399197969832669
  238. Wed Aug 14 14:30:32 2024 p158 factor: 20297813369593964943532945402936632590035514195911057582028803466814599756433474783386978425506171508710741105315093848156946275280169260040450711276898293081
  239. Wed Aug 14 14:30:32 2024 elapsed time 02:30:04
  240.  
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