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Msieve log of C166_829332_3736

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Apr 2nd, 2023
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  1. Tue Mar 28 14:07:09 2023
  2. Tue Mar 28 14:07:09 2023
  3. Tue Mar 28 14:07:09 2023 Msieve v. 1.53 (SVN 988)
  4. Tue Mar 28 14:07:09 2023 random seeds: 832431fc 6ba63564
  5. Tue Mar 28 14:07:09 2023 factoring 3024618938925989259092385018120084714167808902442497900683785154771486118591948188552920898427371611676329443666350923218566553006886674616891690283061274293487145681 (166 digits)
  6. Tue Mar 28 14:07:10 2023 searching for 15-digit factors
  7. Tue Mar 28 14:07:11 2023 commencing number field sieve (166-digit input)
  8. Tue Mar 28 14:07:11 2023 R0: -185259924756163450736213941904074
  9. Tue Mar 28 14:07:11 2023 R1: 12540245810930129
  10. Tue Mar 28 14:07:11 2023 A0: 3256868018444270510757330430060833699036525
  11. Tue Mar 28 14:07:11 2023 A1: 156299385276201130283079422094242610
  12. Tue Mar 28 14:07:11 2023 A2: -26652774666778087527676576808
  13. Tue Mar 28 14:07:11 2023 A3: -308560595759161728550
  14. Tue Mar 28 14:07:11 2023 A4: 9571531620747
  15. Tue Mar 28 14:07:11 2023 A5: 13860
  16. Tue Mar 28 14:07:11 2023 skew 54964453.23, size 2.851e-016, alpha -8.015, combined = 5.231e-013 rroots = 5
  17. Tue Mar 28 14:07:11 2023
  18. Tue Mar 28 14:07:11 2023 commencing relation filtering
  19. Tue Mar 28 14:07:11 2023 setting target matrix density to 100.0
  20. Tue Mar 28 14:07:11 2023 estimated available RAM is 12041.5 MB
  21. Tue Mar 28 14:07:11 2023 commencing duplicate removal, pass 1
  22. Tue Mar 28 14:10:18 2023 error -9 reading relation 11188784
  23. Tue Mar 28 14:10:50 2023 error -15 reading relation 13001579
  24. Tue Mar 28 14:11:43 2023 error -15 reading relation 16200453
  25. Tue Mar 28 14:13:26 2023 error -1 reading relation 21833756
  26. Tue Mar 28 14:16:42 2023 error -1 reading relation 33324862
  27. Tue Mar 28 14:17:49 2023 error -5 reading relation 37179071
  28. Tue Mar 28 14:18:22 2023 error -1 reading relation 38980694
  29. Tue Mar 28 14:18:52 2023 error -9 reading relation 40709119
  30. Tue Mar 28 14:19:52 2023 error -15 reading relation 44066743
  31. Tue Mar 28 14:20:00 2023 error -1 reading relation 44542280
  32. Tue Mar 28 14:20:19 2023 error -15 reading relation 45641738
  33. Tue Mar 28 14:20:58 2023 error -9 reading relation 47936213
  34. Tue Mar 28 14:22:09 2023 error -9 reading relation 52017876
  35. Tue Mar 28 14:22:43 2023 error -15 reading relation 53998312
  36. Tue Mar 28 14:22:49 2023 error -15 reading relation 54358152
  37. Tue Mar 28 14:23:06 2023 error -1 reading relation 55377988
  38. Tue Mar 28 14:23:27 2023 error -9 reading relation 56601916
  39. Tue Mar 28 14:23:49 2023 error -9 reading relation 57949587
  40. Tue Mar 28 14:23:57 2023 error -1 reading relation 58400804
  41. Tue Mar 28 14:24:02 2023 error -9 reading relation 58663666
  42. Tue Mar 28 14:24:12 2023 error -1 reading relation 59266282
  43. Tue Mar 28 14:24:14 2023 error -9 reading relation 59380464
  44. Tue Mar 28 14:24:18 2023 error -9 reading relation 59596767
  45. Tue Mar 28 14:24:22 2023 error -15 reading relation 59861710
  46. Tue Mar 28 14:24:24 2023 error -9 reading relation 59945797
  47. Tue Mar 28 14:24:43 2023 error -9 reading relation 61049067
  48. Tue Mar 28 14:24:50 2023 error -1 reading relation 61464042
  49. Tue Mar 28 14:24:50 2023 error -9 reading relation 61471670
  50. Tue Mar 28 14:25:07 2023 error -9 reading relation 62523553
  51. Tue Mar 28 14:27:09 2023 error -1 reading relation 69809794
  52. Tue Mar 28 14:27:09 2023 error -15 reading relation 69813000
  53. Tue Mar 28 14:27:38 2023 error -15 reading relation 71548630
  54. Tue Mar 28 14:27:42 2023 error -9 reading relation 71795646
  55. Tue Mar 28 14:28:00 2023 error -9 reading relation 72835055
  56. Tue Mar 28 14:28:00 2023 error -1 reading relation 72841095
  57. Tue Mar 28 14:30:37 2023 error -9 reading relation 80938238
  58. Tue Mar 28 14:31:00 2023 error -15 reading relation 82223870
  59. Tue Mar 28 14:31:04 2023 error -15 reading relation 82423820
  60. Tue Mar 28 14:31:35 2023 error -15 reading relation 84093878
  61. Tue Mar 28 14:31:59 2023 error -15 reading relation 85553651
  62. Tue Mar 28 14:32:03 2023 error -15 reading relation 85721731
  63. Tue Mar 28 14:33:13 2023 error -15 reading relation 89886973
  64. Tue Mar 28 14:33:27 2023 error -15 reading relation 90678510
  65. Tue Mar 28 14:34:12 2023 error -15 reading relation 93299196
  66. Tue Mar 28 14:34:22 2023 error -9 reading relation 93846267
  67. Tue Mar 28 14:35:31 2023 error -1 reading relation 97911704
  68. Tue Mar 28 14:35:40 2023 error -9 reading relation 98424824
  69. Tue Mar 28 14:35:43 2023 error -15 reading relation 98610673
  70. Tue Mar 28 14:35:51 2023 error -9 reading relation 99066190
  71. Tue Mar 28 14:36:35 2023 error -1 reading relation 101674100
  72. Tue Mar 28 14:36:41 2023 error -9 reading relation 101989587
  73. Tue Mar 28 14:37:00 2023 error -15 reading relation 103093822
  74. Tue Mar 28 14:37:00 2023 error -1 reading relation 103101312
  75. Tue Mar 28 14:37:00 2023 error -15 reading relation 103102937
  76. Tue Mar 28 14:37:03 2023 error -5 reading relation 103277707
  77. Tue Mar 28 14:37:03 2023 error -15 reading relation 103279994
  78. Tue Mar 28 14:37:03 2023 error -15 reading relation 103281676
  79. Tue Mar 28 14:37:26 2023 error -15 reading relation 104533924
  80. Tue Mar 28 14:39:36 2023 error -15 reading relation 111659746
  81. Tue Mar 28 14:39:46 2023 error -15 reading relation 112204271
  82. Tue Mar 28 14:39:46 2023 error -1 reading relation 112205593
  83. Tue Mar 28 14:39:47 2023 error -1 reading relation 112316110
  84. Tue Mar 28 14:40:38 2023 error -15 reading relation 115172045
  85. Tue Mar 28 14:41:14 2023 error -15 reading relation 117241800
  86. Tue Mar 28 14:41:15 2023 error -1 reading relation 117292542
  87. Tue Mar 28 14:41:17 2023 skipped 47 relations with composite factors
  88. Tue Mar 28 14:41:17 2023 found 29111979 hash collisions in 117416795 relations
  89. Tue Mar 28 14:42:08 2023 added 121741 free relations
  90. Tue Mar 28 14:42:08 2023 commencing duplicate removal, pass 2
  91. Tue Mar 28 14:44:51 2023 found 32270048 duplicates and 85268488 unique relations
  92. Tue Mar 28 14:44:51 2023 memory use: 724.8 MB
  93. Tue Mar 28 14:44:51 2023 reading ideals above 66912256
  94. Tue Mar 28 14:44:51 2023 commencing singleton removal, initial pass
  95. Tue Mar 28 15:05:58 2023 memory use: 1506.0 MB
  96. Tue Mar 28 15:05:58 2023 reading all ideals from disk
  97. Tue Mar 28 15:06:02 2023 memory use: 1617.6 MB
  98. Tue Mar 28 15:06:06 2023 commencing in-memory singleton removal
  99. Tue Mar 28 15:06:09 2023 begin with 85268488 relations and 77757632 unique ideals
  100. Tue Mar 28 15:06:56 2023 reduce to 49786760 relations and 37876835 ideals in 14 passes
  101. Tue Mar 28 15:06:56 2023 max relations containing the same ideal: 26
  102. Tue Mar 28 15:07:02 2023 reading ideals above 720000
  103. Tue Mar 28 15:07:02 2023 commencing singleton removal, initial pass
  104. Tue Mar 28 15:21:32 2023 memory use: 1378.0 MB
  105. Tue Mar 28 15:21:32 2023 reading all ideals from disk
  106. Tue Mar 28 15:21:36 2023 memory use: 1893.3 MB
  107. Tue Mar 28 15:21:42 2023 keeping 45491309 ideals with weight <= 200, target excess is 276880
  108. Tue Mar 28 15:21:49 2023 commencing in-memory singleton removal
  109. Tue Mar 28 15:21:54 2023 begin with 49786760 relations and 45491309 unique ideals
  110. Tue Mar 28 15:22:46 2023 reduce to 49780524 relations and 45485073 ideals in 8 passes
  111. Tue Mar 28 15:22:46 2023 max relations containing the same ideal: 200
  112. Tue Mar 28 15:23:13 2023 removing 2816636 relations and 2416636 ideals in 400000 cliques
  113. Tue Mar 28 15:23:15 2023 commencing in-memory singleton removal
  114. Tue Mar 28 15:23:20 2023 begin with 46963888 relations and 45485073 unique ideals
  115. Tue Mar 28 15:24:07 2023 reduce to 46856783 relations and 42960212 ideals in 8 passes
  116. Tue Mar 28 15:24:07 2023 max relations containing the same ideal: 198
  117. Tue Mar 28 15:24:32 2023 removing 2115578 relations and 1715578 ideals in 400000 cliques
  118. Tue Mar 28 15:24:34 2023 commencing in-memory singleton removal
  119. Tue Mar 28 15:24:38 2023 begin with 44741205 relations and 42960212 unique ideals
  120. Tue Mar 28 15:25:23 2023 reduce to 44673597 relations and 41176454 ideals in 8 passes
  121. Tue Mar 28 15:25:23 2023 max relations containing the same ideal: 194
  122. Tue Mar 28 15:25:46 2023 removing 1897449 relations and 1497449 ideals in 400000 cliques
  123. Tue Mar 28 15:25:48 2023 commencing in-memory singleton removal
  124. Tue Mar 28 15:25:52 2023 begin with 42776148 relations and 41176454 unique ideals
  125. Tue Mar 28 15:26:24 2023 reduce to 42717436 relations and 39619799 ideals in 6 passes
  126. Tue Mar 28 15:26:24 2023 max relations containing the same ideal: 189
  127. Tue Mar 28 15:26:47 2023 removing 1778481 relations and 1378481 ideals in 400000 cliques
  128. Tue Mar 28 15:26:48 2023 commencing in-memory singleton removal
  129. Tue Mar 28 15:26:52 2023 begin with 40938955 relations and 39619799 unique ideals
  130. Tue Mar 28 15:27:27 2023 reduce to 40884228 relations and 38186124 ideals in 7 passes
  131. Tue Mar 28 15:27:27 2023 max relations containing the same ideal: 184
  132. Tue Mar 28 15:27:49 2023 removing 1702181 relations and 1302181 ideals in 400000 cliques
  133. Tue Mar 28 15:27:50 2023 commencing in-memory singleton removal
  134. Tue Mar 28 15:27:54 2023 begin with 39182047 relations and 38186124 unique ideals
  135. Tue Mar 28 15:28:28 2023 reduce to 39129872 relations and 36831321 ideals in 7 passes
  136. Tue Mar 28 15:28:28 2023 max relations containing the same ideal: 179
  137. Tue Mar 28 15:28:49 2023 removing 1649721 relations and 1249721 ideals in 400000 cliques
  138. Tue Mar 28 15:28:50 2023 commencing in-memory singleton removal
  139. Tue Mar 28 15:28:54 2023 begin with 37480151 relations and 36831321 unique ideals
  140. Tue Mar 28 15:29:22 2023 reduce to 37428426 relations and 35529368 ideals in 6 passes
  141. Tue Mar 28 15:29:22 2023 max relations containing the same ideal: 175
  142. Tue Mar 28 15:29:42 2023 removing 1614591 relations and 1214591 ideals in 400000 cliques
  143. Tue Mar 28 15:29:43 2023 commencing in-memory singleton removal
  144. Tue Mar 28 15:29:47 2023 begin with 35813835 relations and 35529368 unique ideals
  145. Tue Mar 28 15:30:17 2023 reduce to 35761408 relations and 34261901 ideals in 7 passes
  146. Tue Mar 28 15:30:17 2023 max relations containing the same ideal: 171
  147. Tue Mar 28 15:30:36 2023 removing 1591006 relations and 1191006 ideals in 400000 cliques
  148. Tue Mar 28 15:30:38 2023 commencing in-memory singleton removal
  149. Tue Mar 28 15:30:41 2023 begin with 34170402 relations and 34261901 unique ideals
  150. Tue Mar 28 15:31:11 2023 reduce to 34116430 relations and 33016431 ideals in 7 passes
  151. Tue Mar 28 15:31:11 2023 max relations containing the same ideal: 168
  152. Tue Mar 28 15:31:29 2023 removing 1575499 relations and 1175499 ideals in 400000 cliques
  153. Tue Mar 28 15:31:30 2023 commencing in-memory singleton removal
  154. Tue Mar 28 15:31:34 2023 begin with 32540931 relations and 33016431 unique ideals
  155. Tue Mar 28 15:32:02 2023 reduce to 32485677 relations and 31785150 ideals in 7 passes
  156. Tue Mar 28 15:32:02 2023 max relations containing the same ideal: 159
  157. Tue Mar 28 15:32:20 2023 removing 1498389 relations and 1119043 ideals in 379346 cliques
  158. Tue Mar 28 15:32:21 2023 commencing in-memory singleton removal
  159. Tue Mar 28 15:32:24 2023 begin with 30987288 relations and 31785150 unique ideals
  160. Tue Mar 28 15:32:52 2023 reduce to 30933816 relations and 30612079 ideals in 7 passes
  161. Tue Mar 28 15:32:52 2023 max relations containing the same ideal: 154
  162. Tue Mar 28 15:33:16 2023 relations with 0 large ideals: 733
  163. Tue Mar 28 15:33:16 2023 relations with 1 large ideals: 1860
  164. Tue Mar 28 15:33:16 2023 relations with 2 large ideals: 26314
  165. Tue Mar 28 15:33:16 2023 relations with 3 large ideals: 247496
  166. Tue Mar 28 15:33:16 2023 relations with 4 large ideals: 1256586
  167. Tue Mar 28 15:33:16 2023 relations with 5 large ideals: 3782912
  168. Tue Mar 28 15:33:16 2023 relations with 6 large ideals: 7145947
  169. Tue Mar 28 15:33:16 2023 relations with 7+ large ideals: 18471968
  170. Tue Mar 28 15:33:16 2023 commencing 2-way merge
  171. Tue Mar 28 15:33:44 2023 reduce to 21254195 relation sets and 20932458 unique ideals
  172. Tue Mar 28 15:33:44 2023 commencing full merge
  173. Tue Mar 28 15:42:02 2023 memory use: 2283.4 MB
  174. Tue Mar 28 15:42:08 2023 found 9633681 cycles, need 9594658
  175. Tue Mar 28 15:42:09 2023 weight of 9594658 cycles is about 959818215 (100.04/cycle)
  176. Tue Mar 28 15:42:09 2023 distribution of cycle lengths:
  177. Tue Mar 28 15:42:09 2023 1 relations: 355893
  178. Tue Mar 28 15:42:09 2023 2 relations: 724800
  179. Tue Mar 28 15:42:09 2023 3 relations: 908199
  180. Tue Mar 28 15:42:09 2023 4 relations: 951232
  181. Tue Mar 28 15:42:09 2023 5 relations: 960100
  182. Tue Mar 28 15:42:09 2023 6 relations: 892426
  183. Tue Mar 28 15:42:09 2023 7 relations: 832524
  184. Tue Mar 28 15:42:09 2023 8 relations: 739452
  185. Tue Mar 28 15:42:09 2023 9 relations: 647192
  186. Tue Mar 28 15:42:09 2023 10+ relations: 2582840
  187. Tue Mar 28 15:42:09 2023 heaviest cycle: 25 relations
  188. Tue Mar 28 15:42:19 2023 commencing cycle optimization
  189. Tue Mar 28 15:42:41 2023 start with 69574010 relations
  190. Tue Mar 28 15:46:15 2023 pruned 2665775 relations
  191. Tue Mar 28 15:46:15 2023 memory use: 2014.3 MB
  192. Tue Mar 28 15:46:15 2023 distribution of cycle lengths:
  193. Tue Mar 28 15:46:15 2023 1 relations: 355893
  194. Tue Mar 28 15:46:15 2023 2 relations: 746833
  195. Tue Mar 28 15:46:15 2023 3 relations: 952297
  196. Tue Mar 28 15:46:15 2023 4 relations: 992725
  197. Tue Mar 28 15:46:15 2023 5 relations: 1004743
  198. Tue Mar 28 15:46:15 2023 6 relations: 926239
  199. Tue Mar 28 15:46:15 2023 7 relations: 860038
  200. Tue Mar 28 15:46:15 2023 8 relations: 753743
  201. Tue Mar 28 15:46:15 2023 9 relations: 655034
  202. Tue Mar 28 15:46:15 2023 10+ relations: 2347113
  203. Tue Mar 28 15:46:15 2023 heaviest cycle: 25 relations
  204. Tue Mar 28 15:46:39 2023 RelProcTime: 5968
  205. Tue Mar 28 15:46:39 2023
  206. Tue Mar 28 15:46:39 2023 commencing linear algebra
  207. Tue Mar 28 15:46:43 2023 read 9594658 cycles
  208. Tue Mar 28 15:47:09 2023 cycles contain 30754412 unique relations
  209. Tue Mar 28 15:54:33 2023 read 30754412 relations
  210. Tue Mar 28 15:55:40 2023 using 20 quadratic characters above 4294917295
  211. Tue Mar 28 15:59:38 2023 building initial matrix
  212. Tue Mar 28 16:10:36 2023 memory use: 4202.6 MB
  213. Tue Mar 28 16:11:00 2023 read 9594658 cycles
  214. Tue Mar 28 16:11:04 2023 matrix is 9594480 x 9594658 (3889.7 MB) with weight 1199544653 (125.02/col)
  215. Tue Mar 28 16:11:04 2023 sparse part has weight 904521478 (94.27/col)
  216. Tue Mar 28 16:13:38 2023 filtering completed in 2 passes
  217. Tue Mar 28 16:13:41 2023 matrix is 9594103 x 9594281 (3889.7 MB) with weight 1199529311 (125.03/col)
  218. Tue Mar 28 16:13:41 2023 sparse part has weight 904517871 (94.28/col)
  219. Tue Mar 28 16:14:39 2023 matrix starts at (0, 0)
  220. Tue Mar 28 16:14:43 2023 matrix is 9594103 x 9594281 (3889.7 MB) with weight 1199529311 (125.03/col)
  221. Tue Mar 28 16:14:43 2023 sparse part has weight 904517871 (94.28/col)
  222. Tue Mar 28 16:14:43 2023 saving the first 48 matrix rows for later
  223. Tue Mar 28 16:14:48 2023 matrix includes 64 packed rows
  224. Tue Mar 28 16:14:50 2023 matrix is 9594055 x 9594281 (3764.9 MB) with weight 1003788448 (104.62/col)
  225. Tue Mar 28 16:14:50 2023 sparse part has weight 890992927 (92.87/col)
  226. Tue Mar 28 16:14:50 2023 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  227. Tue Mar 28 16:16:21 2023 commencing Lanczos iteration (6 threads)
  228. Tue Mar 28 16:16:21 2023 memory use: 3120.3 MB
  229. Tue Mar 28 16:17:24 2023 linear algebra at 0.0%, ETA 105h11m
  230. Tue Mar 28 16:17:44 2023 checkpointing every 100000 dimensions
  231. Sun Apr 02 02:14:51 2023 lanczos halted after 151729 iterations (dim = 9594054)
  232. Sun Apr 02 02:15:05 2023 recovered 29 nontrivial dependencies
  233. Sun Apr 02 02:15:13 2023 BLanczosTime: 383314
  234. Sun Apr 02 02:15:13 2023
  235. Sun Apr 02 02:15:13 2023 commencing square root phase
  236. Sun Apr 02 02:15:13 2023 handling dependencies 1 to 64
  237. Sun Apr 02 02:15:13 2023 reading relations for dependency 1
  238. Sun Apr 02 02:15:16 2023 read 4797975 cycles
  239. Sun Apr 02 02:15:28 2023 cycles contain 15381004 unique relations
  240. Sun Apr 02 02:19:46 2023 read 15381004 relations
  241. Sun Apr 02 02:21:52 2023 multiplying 15381004 relations
  242. Sun Apr 02 02:52:00 2023 multiply complete, coefficients have about 835.43 million bits
  243. Sun Apr 02 02:52:07 2023 initial square root is modulo 31268401
  244. Sun Apr 02 03:22:04 2023 sqrtTime: 4011
  245. Sun Apr 02 03:22:04 2023 p82 factor: 1368355095786415556658541835649319467512688699988738323172539936057291890362207433
  246. Sun Apr 02 03:22:04 2023 p85 factor: 2210404995194388766722696556330623411311094732629708093003474391573403534697294234057
  247. Sun Apr 02 03:22:04 2023 elapsed time 109:14:55
  248.  
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