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Jun 29th, 2023
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  1. Thu Jun 29 11:06:18 2023
  2. Thu Jun 29 11:06:18 2023
  3. Thu Jun 29 11:06:18 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 29 11:06:18 2023 random seeds: 2dd9c51b 6a028391
  5. Thu Jun 29 11:06:18 2023 factoring 214858040347123584813451957583845551075739646614373147014568883043157114654722356012546844235432782448881902931647182460629392977864717176284146069316240776775029822064849018315436342788105656761180902317303349203972857 (219 digits)
  6. Thu Jun 29 11:06:19 2023 no P-1/P+1/ECM available, skipping
  7. Thu Jun 29 11:06:19 2023 commencing number field sieve (219-digit input)
  8. Thu Jun 29 11:06:19 2023 R0: 39583468351661479982758182439374207187
  9. Thu Jun 29 11:06:19 2023 R1: -1
  10. Thu Jun 29 11:06:19 2023 A0: -1
  11. Thu Jun 29 11:06:19 2023 A1: 0
  12. Thu Jun 29 11:06:19 2023 A2: 0
  13. Thu Jun 29 11:06:19 2023 A3: 0
  14. Thu Jun 29 11:06:19 2023 A4: 0
  15. Thu Jun 29 11:06:19 2023 A5: 0
  16. Thu Jun 29 11:06:19 2023 A6: 235003
  17. Thu Jun 29 11:06:19 2023 skew 0.13, size 6.786e-12, alpha 1.402, combined = 4.956e-13 rroots = 2
  18. Thu Jun 29 11:06:19 2023
  19. Thu Jun 29 11:06:19 2023 commencing relation filtering
  20. Thu Jun 29 11:06:19 2023 setting target matrix density to 112.0
  21. Thu Jun 29 11:06:19 2023 estimated available RAM is 15960.0 MB
  22. Thu Jun 29 11:06:19 2023 commencing duplicate removal, pass 1
  23. Thu Jun 29 11:24:21 2023 skipped 844 relations with b > 2^32
  24. Thu Jun 29 11:24:21 2023 skipped 4 relations with composite factors
  25. Thu Jun 29 11:24:21 2023 found 4721614 hash collisions in 145617544 relations
  26. Thu Jun 29 11:24:36 2023 added 1218263 free relations
  27. Thu Jun 29 11:24:36 2023 commencing duplicate removal, pass 2
  28. Thu Jun 29 11:25:18 2023 found 0 duplicates and 146835807 unique relations
  29. Thu Jun 29 11:25:18 2023 memory use: 389.2 MB
  30. Thu Jun 29 11:25:18 2023 reading ideals above 129826816
  31. Thu Jun 29 11:25:18 2023 commencing singleton removal, initial pass
  32. Thu Jun 29 11:39:20 2023 memory use: 3012.0 MB
  33. Thu Jun 29 11:39:21 2023 reading all ideals from disk
  34. Thu Jun 29 11:39:28 2023 memory use: 2473.0 MB
  35. Thu Jun 29 11:39:40 2023 commencing in-memory singleton removal
  36. Thu Jun 29 11:39:44 2023 begin with 146835807 relations and 117326588 unique ideals
  37. Thu Jun 29 11:40:23 2023 reduce to 98619818 relations and 64676511 ideals in 13 passes
  38. Thu Jun 29 11:40:23 2023 max relations containing the same ideal: 38
  39. Thu Jun 29 11:40:27 2023 reading ideals above 720000
  40. Thu Jun 29 11:40:27 2023 commencing singleton removal, initial pass
  41. Thu Jun 29 11:51:08 2023 memory use: 1506.0 MB
  42. Thu Jun 29 11:51:08 2023 reading all ideals from disk
  43. Thu Jun 29 11:51:14 2023 memory use: 3823.1 MB
  44. Thu Jun 29 11:51:23 2023 keeping 78915861 ideals with weight <= 200, target excess is 496648
  45. Thu Jun 29 11:51:33 2023 commencing in-memory singleton removal
  46. Thu Jun 29 11:51:40 2023 begin with 98619818 relations and 78915861 unique ideals
  47. Thu Jun 29 11:52:16 2023 reduce to 98619211 relations and 78915254 ideals in 5 passes
  48. Thu Jun 29 11:52:16 2023 max relations containing the same ideal: 200
  49. Thu Jun 29 11:52:55 2023 removing 9380134 relations and 7380134 ideals in 2000000 cliques
  50. Thu Jun 29 11:52:58 2023 commencing in-memory singleton removal
  51. Thu Jun 29 11:53:03 2023 begin with 89239077 relations and 78915254 unique ideals
  52. Thu Jun 29 11:53:38 2023 reduce to 88534024 relations and 70812146 ideals in 7 passes
  53. Thu Jun 29 11:53:38 2023 max relations containing the same ideal: 195
  54. Thu Jun 29 11:54:07 2023 removing 7352533 relations and 5352533 ideals in 2000000 cliques
  55. Thu Jun 29 11:54:10 2023 commencing in-memory singleton removal
  56. Thu Jun 29 11:54:15 2023 begin with 81181491 relations and 70812146 unique ideals
  57. Thu Jun 29 11:54:51 2023 reduce to 80689941 relations and 64956889 ideals in 8 passes
  58. Thu Jun 29 11:54:51 2023 max relations containing the same ideal: 185
  59. Thu Jun 29 11:55:18 2023 removing 6787280 relations and 4787280 ideals in 2000000 cliques
  60. Thu Jun 29 11:55:21 2023 commencing in-memory singleton removal
  61. Thu Jun 29 11:55:25 2023 begin with 73902661 relations and 64956889 unique ideals
  62. Thu Jun 29 11:55:53 2023 reduce to 73458148 relations and 59714733 ideals in 7 passes
  63. Thu Jun 29 11:55:53 2023 max relations containing the same ideal: 176
  64. Thu Jun 29 11:56:18 2023 removing 6510890 relations and 4510890 ideals in 2000000 cliques
  65. Thu Jun 29 11:56:20 2023 commencing in-memory singleton removal
  66. Thu Jun 29 11:56:24 2023 begin with 66947258 relations and 59714733 unique ideals
  67. Thu Jun 29 11:56:50 2023 reduce to 66515830 relations and 54761668 ideals in 7 passes
  68. Thu Jun 29 11:56:50 2023 max relations containing the same ideal: 164
  69. Thu Jun 29 11:57:12 2023 removing 6344660 relations and 4344660 ideals in 2000000 cliques
  70. Thu Jun 29 11:57:14 2023 commencing in-memory singleton removal
  71. Thu Jun 29 11:57:18 2023 begin with 60171170 relations and 54761668 unique ideals
  72. Thu Jun 29 11:57:41 2023 reduce to 59734362 relations and 49968349 ideals in 7 passes
  73. Thu Jun 29 11:57:41 2023 max relations containing the same ideal: 153
  74. Thu Jun 29 11:58:01 2023 removing 6244197 relations and 4244197 ideals in 2000000 cliques
  75. Thu Jun 29 11:58:03 2023 commencing in-memory singleton removal
  76. Thu Jun 29 11:58:06 2023 begin with 53490165 relations and 49968349 unique ideals
  77. Thu Jun 29 11:58:26 2023 reduce to 53035592 relations and 45256187 ideals in 7 passes
  78. Thu Jun 29 11:58:26 2023 max relations containing the same ideal: 144
  79. Thu Jun 29 11:58:44 2023 removing 6179394 relations and 4179394 ideals in 2000000 cliques
  80. Thu Jun 29 11:58:46 2023 commencing in-memory singleton removal
  81. Thu Jun 29 11:58:49 2023 begin with 46856198 relations and 45256187 unique ideals
  82. Thu Jun 29 11:59:07 2023 reduce to 46366464 relations and 40571151 ideals in 7 passes
  83. Thu Jun 29 11:59:07 2023 max relations containing the same ideal: 130
  84. Thu Jun 29 11:59:22 2023 removing 6140227 relations and 4140227 ideals in 2000000 cliques
  85. Thu Jun 29 11:59:24 2023 commencing in-memory singleton removal
  86. Thu Jun 29 11:59:26 2023 begin with 40226237 relations and 40571151 unique ideals
  87. Thu Jun 29 11:59:43 2023 reduce to 39684815 relations and 35869439 ideals in 8 passes
  88. Thu Jun 29 11:59:43 2023 max relations containing the same ideal: 119
  89. Thu Jun 29 11:59:57 2023 removing 6122894 relations and 4122894 ideals in 2000000 cliques
  90. Thu Jun 29 11:59:59 2023 commencing in-memory singleton removal
  91. Thu Jun 29 12:00:01 2023 begin with 33561921 relations and 35869439 unique ideals
  92. Thu Jun 29 12:00:15 2023 reduce to 32931718 relations and 31088995 ideals in 8 passes
  93. Thu Jun 29 12:00:15 2023 max relations containing the same ideal: 103
  94. Thu Jun 29 12:00:26 2023 removing 4235141 relations and 2968530 ideals in 1266611 cliques
  95. Thu Jun 29 12:00:27 2023 commencing in-memory singleton removal
  96. Thu Jun 29 12:00:29 2023 begin with 28696577 relations and 31088995 unique ideals
  97. Thu Jun 29 12:00:40 2023 reduce to 28308902 relations and 27719228 ideals in 7 passes
  98. Thu Jun 29 12:00:40 2023 max relations containing the same ideal: 90
  99. Thu Jun 29 12:00:49 2023 removing 91340 relations and 77778 ideals in 13562 cliques
  100. Thu Jun 29 12:00:50 2023 commencing in-memory singleton removal
  101. Thu Jun 29 12:00:52 2023 begin with 28217562 relations and 27719228 unique ideals
  102. Thu Jun 29 12:00:57 2023 reduce to 28217376 relations and 27641264 ideals in 4 passes
  103. Thu Jun 29 12:00:57 2023 max relations containing the same ideal: 90
  104. Thu Jun 29 12:01:03 2023 relations with 0 large ideals: 18643
  105. Thu Jun 29 12:01:03 2023 relations with 1 large ideals: 7149
  106. Thu Jun 29 12:01:03 2023 relations with 2 large ideals: 80319
  107. Thu Jun 29 12:01:03 2023 relations with 3 large ideals: 570384
  108. Thu Jun 29 12:01:03 2023 relations with 4 large ideals: 2209940
  109. Thu Jun 29 12:01:03 2023 relations with 5 large ideals: 5095784
  110. Thu Jun 29 12:01:03 2023 relations with 6 large ideals: 7368510
  111. Thu Jun 29 12:01:03 2023 relations with 7+ large ideals: 12866647
  112. Thu Jun 29 12:01:03 2023 commencing 2-way merge
  113. Thu Jun 29 12:01:15 2023 reduce to 19042790 relation sets and 18466678 unique ideals
  114. Thu Jun 29 12:01:15 2023 commencing full merge
  115. Thu Jun 29 12:07:01 2023 memory use: 2444.6 MB
  116. Thu Jun 29 12:07:02 2023 found 8739235 cycles, need 8704878
  117. Thu Jun 29 12:07:05 2023 weight of 8704878 cycles is about 975469515 (112.06/cycle)
  118. Thu Jun 29 12:07:05 2023 distribution of cycle lengths:
  119. Thu Jun 29 12:07:05 2023 1 relations: 360502
  120. Thu Jun 29 12:07:05 2023 2 relations: 545202
  121. Thu Jun 29 12:07:05 2023 3 relations: 649194
  122. Thu Jun 29 12:07:05 2023 4 relations: 681552
  123. Thu Jun 29 12:07:05 2023 5 relations: 700705
  124. Thu Jun 29 12:07:05 2023 6 relations: 690416
  125. Thu Jun 29 12:07:05 2023 7 relations: 671733
  126. Thu Jun 29 12:07:05 2023 8 relations: 633140
  127. Thu Jun 29 12:07:05 2023 9 relations: 584475
  128. Thu Jun 29 12:07:05 2023 10+ relations: 3187959
  129. Thu Jun 29 12:07:05 2023 heaviest cycle: 28 relations
  130. Thu Jun 29 12:07:07 2023 commencing cycle optimization
  131. Thu Jun 29 12:07:21 2023 start with 73559016 relations
  132. Thu Jun 29 12:09:32 2023 pruned 3503241 relations
  133. Thu Jun 29 12:09:32 2023 memory use: 1935.1 MB
  134. Thu Jun 29 12:09:32 2023 distribution of cycle lengths:
  135. Thu Jun 29 12:09:32 2023 1 relations: 360502
  136. Thu Jun 29 12:09:32 2023 2 relations: 559929
  137. Thu Jun 29 12:09:32 2023 3 relations: 678582
  138. Thu Jun 29 12:09:32 2023 4 relations: 712195
  139. Thu Jun 29 12:09:32 2023 5 relations: 738557
  140. Thu Jun 29 12:09:32 2023 6 relations: 726311
  141. Thu Jun 29 12:09:32 2023 7 relations: 708875
  142. Thu Jun 29 12:09:32 2023 8 relations: 663048
  143. Thu Jun 29 12:09:32 2023 9 relations: 609625
  144. Thu Jun 29 12:09:32 2023 10+ relations: 2947254
  145. Thu Jun 29 12:09:32 2023 heaviest cycle: 28 relations
  146. Thu Jun 29 12:09:47 2023 RelProcTime: 3808
  147. Thu Jun 29 12:09:47 2023 elapsed time 01:03:29
  148. Thu Jun 29 12:16:15 2023
  149. Thu Jun 29 12:16:15 2023
  150. Thu Jun 29 12:16:15 2023 Msieve v. 1.54 (SVN Unversioned directory)
  151. Thu Jun 29 12:16:15 2023 random seeds: decc85f1 bb02086a
  152. Thu Jun 29 12:16:15 2023 factoring 214858040347123584813451957583845551075739646614373147014568883043157114654722356012546844235432782448881902931647182460629392977864717176284146069316240776775029822064849018315436342788105656761180902317303349203972857 (219 digits)
  153. Thu Jun 29 12:16:16 2023 no P-1/P+1/ECM available, skipping
  154. Thu Jun 29 12:16:16 2023 commencing number field sieve (219-digit input)
  155. Thu Jun 29 12:16:16 2023 R0: 39583468351661479982758182439374207187
  156. Thu Jun 29 12:16:16 2023 R1: -1
  157. Thu Jun 29 12:16:16 2023 A0: -1
  158. Thu Jun 29 12:16:16 2023 A1: 0
  159. Thu Jun 29 12:16:16 2023 A2: 0
  160. Thu Jun 29 12:16:16 2023 A3: 0
  161. Thu Jun 29 12:16:16 2023 A4: 0
  162. Thu Jun 29 12:16:16 2023 A5: 0
  163. Thu Jun 29 12:16:16 2023 A6: 235003
  164. Thu Jun 29 12:16:16 2023 skew 0.13, size 6.786e-12, alpha 1.402, combined = 4.956e-13 rroots = 2
  165. Thu Jun 29 12:16:16 2023
  166. Thu Jun 29 12:16:16 2023 commencing linear algebra
  167. Thu Jun 29 12:16:16 2023 using VBITS=512
  168. Thu Jun 29 12:16:16 2023 read 8704878 cycles
  169. Thu Jun 29 12:16:30 2023 cycles contain 27922133 unique relations
  170. Thu Jun 29 12:18:41 2023 read 27922133 relations
  171. Thu Jun 29 12:19:18 2023 using 20 quadratic characters above 4294917295
  172. Thu Jun 29 12:21:07 2023 building initial matrix
  173. Thu Jun 29 12:26:22 2023 memory use: 3557.6 MB
  174. Thu Jun 29 12:26:26 2023 read 8704878 cycles
  175. Thu Jun 29 12:26:27 2023 matrix is 8704701 x 8704878 (3834.6 MB) with weight 1111093627 (127.64/col)
  176. Thu Jun 29 12:26:27 2023 sparse part has weight 909459816 (104.48/col)
  177. Thu Jun 29 12:27:58 2023 filtering completed in 2 passes
  178. Thu Jun 29 12:28:00 2023 matrix is 8704512 x 8704673 (3834.6 MB) with weight 1111086846 (127.64/col)
  179. Thu Jun 29 12:28:00 2023 sparse part has weight 909457686 (104.48/col)
  180. Thu Jun 29 12:28:22 2023 matrix starts at (0, 0)
  181. Thu Jun 29 12:28:23 2023 matrix is 8704512 x 8704673 (3834.6 MB) with weight 1111086846 (127.64/col)
  182. Thu Jun 29 12:28:23 2023 sparse part has weight 909457686 (104.48/col)
  183. Thu Jun 29 12:28:23 2023 saving the first 496 matrix rows for later
  184. Thu Jun 29 12:28:25 2023 matrix includes 512 packed rows
  185. Thu Jun 29 12:28:30 2023 matrix is 8704016 x 8704673 (3628.8 MB) with weight 783561777 (90.02/col)
  186. Thu Jun 29 12:28:30 2023 sparse part has weight 742346079 (85.28/col)
  187. Thu Jun 29 12:28:30 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  188. Thu Jun 29 12:28:30 2023 selected card has CUDA arch 8.6
  189. Thu Jun 29 12:29:20 2023 commencing Lanczos iteration
  190. Thu Jun 29 12:29:21 2023 memory use: 10113.2 MB
  191. Thu Jun 29 12:29:53 2023 linear algebra at 0.2%, ETA 4h52m
  192. Thu Jun 29 12:29:54 2023 checkpointing every 1790000 dimensions
  193. Thu Jun 29 17:20:46 2023 lanczos halted after 17027 iterations (dim = 8704016)
  194. Thu Jun 29 17:22:19 2023 recovered 38 nontrivial dependencies
  195. Thu Jun 29 17:22:20 2023 BLanczosTime: 18364
  196. Thu Jun 29 17:22:20 2023
  197. Thu Jun 29 17:22:20 2023 commencing square root phase
  198. Thu Jun 29 17:22:20 2023 handling dependencies 1 to 64
  199. Thu Jun 29 17:22:20 2023 reading relations for dependency 1
  200. Thu Jun 29 17:22:21 2023 read 4352010 cycles
  201. Thu Jun 29 17:22:28 2023 cycles contain 13958816 unique relations
  202. Thu Jun 29 17:23:38 2023 read 13958816 relations
  203. Thu Jun 29 17:24:38 2023 multiplying 13958816 relations
  204. Thu Jun 29 17:40:20 2023 multiply complete, coefficients have about 573.86 million bits
  205. Thu Jun 29 17:40:21 2023 initial square root is modulo 140779
  206. Thu Jun 29 17:54:53 2023 GCD is 1, no factor found
  207. Thu Jun 29 17:54:53 2023 reading relations for dependency 2
  208. Thu Jun 29 17:54:56 2023 read 4352644 cycles
  209. Thu Jun 29 17:55:03 2023 cycles contain 13959160 unique relations
  210. Thu Jun 29 17:56:15 2023 read 13959160 relations
  211. Thu Jun 29 17:57:12 2023 multiplying 13959160 relations
  212. Thu Jun 29 18:10:28 2023 multiply complete, coefficients have about 573.88 million bits
  213. Thu Jun 29 18:10:29 2023 initial square root is modulo 140929
  214. Thu Jun 29 18:25:01 2023 found factor: 12125173081164912509524623732158082261413643633136297177
  215. Thu Jun 29 18:25:01 2023 reading relations for dependency 3
  216. Thu Jun 29 18:25:02 2023 read 4352134 cycles
  217. Thu Jun 29 18:25:10 2023 cycles contain 13962360 unique relations
  218. Thu Jun 29 18:26:20 2023 read 13962360 relations
  219. Thu Jun 29 18:27:18 2023 multiplying 13962360 relations
  220. Thu Jun 29 18:40:32 2023 multiply complete, coefficients have about 574.01 million bits
  221. Thu Jun 29 18:40:34 2023 initial square root is modulo 141223
  222. Thu Jun 29 18:54:56 2023 GCD is 1, no factor found
  223. Thu Jun 29 18:54:56 2023 reading relations for dependency 4
  224. Thu Jun 29 18:54:57 2023 read 4353207 cycles
  225. Thu Jun 29 18:55:04 2023 cycles contain 13961246 unique relations
  226. Thu Jun 29 18:56:13 2023 read 13961246 relations
  227. Thu Jun 29 18:57:08 2023 multiplying 13961246 relations
  228. Thu Jun 29 19:10:18 2023 multiply complete, coefficients have about 573.96 million bits
  229. Thu Jun 29 19:10:20 2023 initial square root is modulo 141067
  230. Thu Jun 29 19:24:40 2023 sqrtTime: 7340
  231. Thu Jun 29 19:24:40 2023 p56 factor: 12125173081164912509524623732158082261413643633136297177
  232. Thu Jun 29 19:24:40 2023 p70 factor: 1926968083804994939519549662032617985524610850202451774335967155700653
  233. Thu Jun 29 19:24:40 2023 p94 factor: 9195792058481336264759844328777306774178931284579302532031729956221838311587130917472763974597
  234. Thu Jun 29 19:24:40 2023 elapsed time 07:08:25
  235.  
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