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Serge_Batalov

C237_139_126.msieve.log

Serge_Batalov
Apr 9th, 2022
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  1. Found 479533756 unique, 141601061 duplicate, and 366 bad relations.
  2. Largest dimension used: 1638 of 1800
  3. Average dimension used: 1463.4 of 1800
  4.  
  5. Sun Mar 27 02:16:56 2022
  6. Sun Mar 27 02:16:56 2022
  7. Sun Mar 27 02:16:56 2022  Msieve v. 1.54 (SVN unknown)
  8. Sun Mar 27 02:16:56 2022  random seeds: bbbf14c5 d8cfa156
  9. Sun Mar 27 02:16:56 2022  factoring 600180101389190209656962886737462955193716809602344436593164981361142663026643722886860023994566449971956472765399358073397923990824116032560877675192886833776067626390220812845985379061182931413482041852681840210451674695513150751134617 (237 digits)
  10. Sun Mar 27 02:16:57 2022  no P-1/P+1/ECM available, skipping
  11. Sun Mar 27 02:16:57 2022  commencing number field sieve (237-digit input)
  12. Sun Mar 27 02:16:57 2022  R0: 1007652543192009835781427081612966648201406939
  13. Sun Mar 27 02:16:57 2022  R1: -2034803789214860371375372991921409003294478565376
  14. Sun Mar 27 02:16:57 2022  A0: 126
  15. Sun Mar 27 02:16:57 2022  A1: 0
  16. Sun Mar 27 02:16:57 2022  A2: 0
  17. Sun Mar 27 02:16:57 2022  A3: 0
  18. Sun Mar 27 02:16:57 2022  A4: 0
  19. Sun Mar 27 02:16:57 2022  A5: 0
  20. Sun Mar 27 02:16:57 2022  A6: 1
  21. Sun Mar 27 02:16:57 2022  skew 2.24, size 2.341e-14, alpha 0.620, combined = 6.569e-15 rroots = 0
  22. Sun Mar 27 02:16:57 2022
  23. Sun Mar 27 02:16:57 2022  commencing relation filtering
  24. Sun Mar 27 02:16:57 2022  setting target matrix density to 130.0
  25. Sun Mar 27 02:16:57 2022  estimated available RAM is 772254.6 MB
  26. Sun Mar 27 02:16:57 2022  commencing duplicate removal, pass 1
  27. Sun Mar 27 03:41:55 2022  skipped 11292 relations with b > 2^32
  28. Sun Mar 27 03:41:55 2022  found 53756007 hash collisions in 497422457 relations
  29. Sun Mar 27 03:42:12 2022  added 1218793 free relations
  30. Sun Mar 27 03:42:12 2022  commencing duplicate removal, pass 2
  31. Sun Mar 27 03:52:39 2022  found 6478867 duplicates and 492162383 unique relations
  32. Sun Mar 27 03:52:39 2022  memory use: 2387.0 MB
  33. Sun Mar 27 03:52:39 2022  reading ideals above 720000
  34. Sun Mar 27 03:52:39 2022  commencing singleton removal, initial pass
  35. Sun Mar 27 05:26:11 2022  memory use: 11024.0 MB
  36. Sun Mar 27 05:26:11 2022  reading all ideals from disk
  37. Sun Mar 27 05:26:32 2022  memory use: 21963.0 MB
  38. Sun Mar 27 05:27:48 2022  keeping 484799042 ideals with weight <= 200, target excess is 2639184
  39. Sun Mar 27 05:29:10 2022  commencing in-memory singleton removal
  40. Sun Mar 27 05:29:54 2022  begin with 492162383 relations and 484799042 unique ideals
  41. Sun Mar 27 05:39:41 2022  reduce to 289932696 relations and 260002119 ideals in 17 passes
  42. Sun Mar 27 05:39:41 2022  max relations containing the same ideal: 154
  43. Sun Mar 27 05:41:53 2022  removing 17242937 relations and 15242937 ideals in 2000000 cliques
  44. Sun Mar 27 05:42:07 2022  commencing in-memory singleton removal
  45. Sun Mar 27 05:42:32 2022  begin with 272689759 relations and 260002119 unique ideals
  46. Sun Mar 27 05:47:35 2022  reduce to 271806925 relations and 243867504 ideals in 10 passes
  47. Sun Mar 27 05:47:35 2022  max relations containing the same ideal: 147
  48. Sun Mar 27 05:49:39 2022  removing 12886262 relations and 10886262 ideals in 2000000 cliques
  49. Sun Mar 27 05:49:52 2022  commencing in-memory singleton removal
  50. Sun Mar 27 05:50:15 2022  begin with 258920663 relations and 243867504 unique ideals
  51. Sun Mar 27 05:54:32 2022  reduce to 258377325 relations and 232433329 ideals in 9 passes
  52. Sun Mar 27 05:54:32 2022  max relations containing the same ideal: 138
  53. Sun Mar 27 05:56:29 2022  removing 11527232 relations and 9527232 ideals in 2000000 cliques
  54. Sun Mar 27 05:56:41 2022  commencing in-memory singleton removal
  55. Sun Mar 27 05:57:02 2022  begin with 246850093 relations and 232433329 unique ideals
  56. Sun Mar 27 06:00:40 2022  reduce to 246389590 relations and 222441929 ideals in 8 passes
  57. Sun Mar 27 06:00:40 2022  max relations containing the same ideal: 137
  58. Sun Mar 27 06:02:32 2022  removing 10803976 relations and 8803976 ideals in 2000000 cliques
  59. Sun Mar 27 06:02:44 2022  commencing in-memory singleton removal
  60. Sun Mar 27 06:03:05 2022  begin with 235585614 relations and 222441929 unique ideals
  61. Sun Mar 27 06:06:33 2022  reduce to 235164410 relations and 213213377 ideals in 8 passes
  62. Sun Mar 27 06:06:33 2022  max relations containing the same ideal: 132
  63. Sun Mar 27 06:08:20 2022  removing 10334721 relations and 8334721 ideals in 2000000 cliques
  64. Sun Mar 27 06:08:31 2022  commencing in-memory singleton removal
  65. Sun Mar 27 06:08:51 2022  begin with 224829689 relations and 213213377 unique ideals
  66. Sun Mar 27 06:12:09 2022  reduce to 224424590 relations and 204470321 ideals in 8 passes
  67. Sun Mar 27 06:12:09 2022  max relations containing the same ideal: 129
  68. Sun Mar 27 06:13:52 2022  removing 10016374 relations and 8016374 ideals in 2000000 cliques
  69. Sun Mar 27 06:14:03 2022  commencing in-memory singleton removal
  70. Sun Mar 27 06:14:22 2022  begin with 214408216 relations and 204470321 unique ideals
  71. Sun Mar 27 06:17:30 2022  reduce to 214010965 relations and 196053520 ideals in 8 passes
  72. Sun Mar 27 06:17:30 2022  max relations containing the same ideal: 124
  73. Sun Mar 27 06:19:09 2022  removing 9787563 relations and 7787563 ideals in 2000000 cliques
  74. Sun Mar 27 06:19:19 2022  commencing in-memory singleton removal
  75. Sun Mar 27 06:19:37 2022  begin with 204223402 relations and 196053520 unique ideals
  76. Sun Mar 27 06:22:58 2022  reduce to 203823902 relations and 187863087 ideals in 9 passes
  77. Sun Mar 27 06:22:58 2022  max relations containing the same ideal: 120
  78. Sun Mar 27 06:24:33 2022  removing 9634645 relations and 7634645 ideals in 2000000 cliques
  79. Sun Mar 27 06:24:43 2022  commencing in-memory singleton removal
  80. Sun Mar 27 06:25:00 2022  begin with 194189257 relations and 187863087 unique ideals
  81. Sun Mar 27 06:27:52 2022  reduce to 193785988 relations and 179821581 ideals in 8 passes
  82. Sun Mar 27 06:27:52 2022  max relations containing the same ideal: 116
  83. Sun Mar 27 06:29:23 2022  removing 9525317 relations and 7525317 ideals in 2000000 cliques
  84. Sun Mar 27 06:29:32 2022  commencing in-memory singleton removal
  85. Sun Mar 27 06:29:48 2022  begin with 184260671 relations and 179821581 unique ideals
  86. Sun Mar 27 06:32:31 2022  reduce to 183844793 relations and 171876535 ideals in 8 passes
  87. Sun Mar 27 06:32:31 2022  max relations containing the same ideal: 113
  88. Sun Mar 27 06:33:58 2022  removing 9464578 relations and 7464578 ideals in 2000000 cliques
  89. Sun Mar 27 06:34:07 2022  commencing in-memory singleton removal
  90. Sun Mar 27 06:34:22 2022  begin with 174380215 relations and 171876535 unique ideals
  91. Sun Mar 27 06:36:57 2022  reduce to 173947256 relations and 163974814 ideals in 8 passes
  92. Sun Mar 27 06:36:57 2022  max relations containing the same ideal: 112
  93. Sun Mar 27 06:38:19 2022  removing 9438466 relations and 7438466 ideals in 2000000 cliques
  94. Sun Mar 27 06:38:28 2022  commencing in-memory singleton removal
  95. Sun Mar 27 06:38:42 2022  begin with 164508790 relations and 163974814 unique ideals
  96. Sun Mar 27 06:41:25 2022  reduce to 164051292 relations and 156074141 ideals in 9 passes
  97. Sun Mar 27 06:41:25 2022  max relations containing the same ideal: 108
  98. Sun Mar 27 06:42:43 2022  removing 9454577 relations and 7454577 ideals in 2000000 cliques
  99. Sun Mar 27 06:42:52 2022  commencing in-memory singleton removal
  100. Sun Mar 27 06:43:05 2022  begin with 154596715 relations and 156074141 unique ideals
  101. Sun Mar 27 06:45:55 2022  reduce to 154108851 relations and 148126415 ideals in 10 passes
  102. Sun Mar 27 06:45:55 2022  max relations containing the same ideal: 101
  103. Sun Mar 27 06:47:09 2022  removing 9489016 relations and 7489016 ideals in 2000000 cliques
  104. Sun Mar 27 06:47:17 2022  commencing in-memory singleton removal
  105. Sun Mar 27 06:47:30 2022  begin with 144619835 relations and 148126415 unique ideals
  106. Sun Mar 27 06:49:37 2022  reduce to 144094300 relations and 140105908 ideals in 8 passes
  107. Sun Mar 27 06:49:37 2022  max relations containing the same ideal: 97
  108. Sun Mar 27 06:50:46 2022  removing 5154620 relations and 4227682 ideals in 926938 cliques
  109. Sun Mar 27 06:50:53 2022  commencing in-memory singleton removal
  110. Sun Mar 27 06:51:05 2022  begin with 138939680 relations and 140105908 unique ideals
  111. Sun Mar 27 06:52:52 2022  reduce to 138787541 relations and 135725186 ideals in 7 passes
  112. Sun Mar 27 06:52:52 2022  max relations containing the same ideal: 93
  113. Sun Mar 27 06:54:25 2022  relations with 0 large ideals: 100238
  114. Sun Mar 27 06:54:25 2022  relations with 1 large ideals: 40750
  115. Sun Mar 27 06:54:25 2022  relations with 2 large ideals: 513581
  116. Sun Mar 27 06:54:25 2022  relations with 3 large ideals: 3334334
  117. Sun Mar 27 06:54:25 2022  relations with 4 large ideals: 11979963
  118. Sun Mar 27 06:54:25 2022  relations with 5 large ideals: 26240396
  119. Sun Mar 27 06:54:25 2022  relations with 6 large ideals: 36457088
  120. Sun Mar 27 06:54:25 2022  relations with 7+ large ideals: 60121191
  121. Sun Mar 27 06:54:25 2022  commencing 2-way merge
  122. Sun Mar 27 06:56:06 2022  reduce to 86992180 relation sets and 83929825 unique ideals
  123. Sun Mar 27 06:56:06 2022  commencing full merge
  124. Sun Mar 27 07:30:35 2022  memory use: 10534.8 MB
  125. Sun Mar 27 07:30:44 2022  found 37583909 cycles, need 37556025
  126. Sun Mar 27 07:30:58 2022  weight of 37556025 cycles is about 4882745111 (130.01/cycle)
  127. Sun Mar 27 07:30:58 2022  distribution of cycle lengths:
  128. Sun Mar 27 07:30:58 2022  1 relations: 3076902
  129. Sun Mar 27 07:30:58 2022  2 relations: 2734678
  130. Sun Mar 27 07:30:58 2022  3 relations: 2705115
  131. Sun Mar 27 07:30:58 2022  4 relations: 2607190
  132. Sun Mar 27 07:30:58 2022  5 relations: 2547345
  133. Sun Mar 27 07:30:58 2022  6 relations: 2440536
  134. Sun Mar 27 07:30:58 2022  7 relations: 2313854
  135. Sun Mar 27 07:30:58 2022  8 relations: 2190683
  136. Sun Mar 27 07:30:58 2022  9 relations: 2064837
  137. Sun Mar 27 07:30:58 2022  10+ relations: 14874885
  138. Sun Mar 27 07:30:58 2022  heaviest cycle: 28 relations
  139. Sun Mar 27 07:31:09 2022  commencing cycle optimization
  140. Sun Mar 27 07:32:34 2022  start with 330463028 relations
  141. Sun Mar 27 07:46:23 2022  pruned 13062945 relations
  142. Sun Mar 27 07:46:23 2022  memory use: 9042.4 MB
  143. Sun Mar 27 07:46:24 2022  distribution of cycle lengths:
  144. Sun Mar 27 07:46:24 2022  1 relations: 3076902
  145. Sun Mar 27 07:46:24 2022  2 relations: 2802456
  146. Sun Mar 27 07:46:24 2022  3 relations: 2814031
  147. Sun Mar 27 07:46:24 2022  4 relations: 2704691
  148. Sun Mar 27 07:46:24 2022  5 relations: 2655518
  149. Sun Mar 27 07:46:24 2022  6 relations: 2530850
  150. Sun Mar 27 07:46:24 2022  7 relations: 2405556
  151. Sun Mar 27 07:46:24 2022  8 relations: 2267033
  152. Sun Mar 27 07:46:24 2022  9 relations: 2131229
  153. Sun Mar 27 07:46:24 2022  10+ relations: 14167759
  154. Sun Mar 27 07:46:24 2022  heaviest cycle: 28 relations
  155. Sun Mar 27 07:47:54 2022  RelProcTime: 19857
  156. Sun Mar 27 07:47:54 2022
  157. Sun Mar 27 07:47:54 2022  commencing linear algebra
  158. Sun Mar 27 07:48:16 2022  read 37556025 cycles
  159. Sun Mar 27 07:50:08 2022  cycles contain 136794387 unique relations
  160. Sun Mar 27 08:11:05 2022  read 136794387 relations
  161. Sun Mar 27 08:15:43 2022  using 20 quadratic characters above 4294917295
  162. Sun Mar 27 08:29:36 2022  building initial matrix
  163. Sun Mar 27 09:03:38 2022  memory use: 17778.8 MB
  164. Sun Mar 27 09:04:15 2022  read 37556025 cycles
  165. Sun Mar 27 09:04:20 2022  matrix is 37555848 x 37556025 (18972.4 MB) with weight 5395737942 (143.67/col)
  166. Sun Mar 27 09:04:20 2022  sparse part has weight 4560393563 (121.43/col)
  167. Sun Mar 27 09:15:31 2022  filtering completed in 2 passes
  168. Sun Mar 27 09:15:38 2022  matrix is 37555017 x 37555194 (18972.4 MB) with weight 5395709424 (143.67/col)
  169. Sun Mar 27 09:15:38 2022  sparse part has weight 4560384670 (121.43/col)
  170. Sun Mar 27 09:17:47 2022  matrix starts at (0, 0)
  171. Sun Mar 27 09:17:53 2022  matrix is 37555017 x 37555194 (18972.4 MB) with weight 5395709424 (143.67/col)
  172. Sun Mar 27 09:17:53 2022  sparse part has weight 4560384670 (121.43/col)
  173. Sun Mar 27 09:17:53 2022  saving the first 48 matrix rows for later
  174. Sun Mar 27 09:18:04 2022  matrix includes 64 packed rows
  175. Sun Mar 27 09:18:10 2022  matrix is 37554969 x 37555194 (18179.3 MB) with weight 4674360069 (124.47/col)
  176. Sun Mar 27 09:18:10 2022  sparse part has weight 4390045689 (116.90/col)
  177. Sun Mar 27 09:18:12 2022  using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  178. Sun Mar 27 09:20:49 2022  commencing Lanczos iteration (32 threads)
  179. Sun Mar 27 09:20:49 2022  memory use: 17712.6 MB
  180. Sun Mar 27 09:22:11 2022  linear algebra at 0.0%, ETA 530h32m
  181. Sun Mar 27 09:22:37 2022  checkpointing every 80000 dimensions
  182. Sun Apr  3 14:47:16 2022
  183. Sun Apr  3 14:47:16 2022  commencing linear algebra
  184. Sun Apr  3 14:47:35 2022  matrix starts at (0, 0)
  185. Sun Apr  3 14:47:40 2022  matrix is 37555017 x 37555194 (18972.4 MB) with weight 5395709424 (143.67/col)
  186. Sun Apr  3 14:47:40 2022  sparse part has weight 4560384670 (121.43/col)
  187. Sun Apr  3 14:47:40 2022  saving the first 48 matrix rows for later
  188. Sun Apr  3 14:47:48 2022  matrix includes 64 packed rows
  189. Sun Apr  3 14:47:53 2022  matrix is 37554969 x 37555194 (18179.3 MB) with weight 4674360069 (124.47/col)
  190. Sun Apr  3 14:47:53 2022  sparse part has weight 4390045689 (116.90/col)
  191. Sun Apr  3 14:47:55 2022  using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  192. Sun Apr  3 14:49:50 2022  commencing Lanczos iteration (32 threads)
  193. Sun Apr  3 14:49:51 2022  memory use: 17712.6 MB
  194. Sun Apr  3 14:49:52 2022  restarting at iteration 341462 (dim = 21592642)
  195. Sun Apr  3 14:50:47 2022  checkpointing every 100000 dimensions
  196. Sun Apr  3 14:50:51 2022  linear algebra at 57.5%, ETA 172h 5m
  197. Fri Apr  8 23:17:30 2022  lanczos halted after 593892 iterations (dim = 37554968)
  198. Fri Apr  8 23:18:04 2022  recovered 37 nontrivial dependencies
  199. Fri Apr  8 23:18:09 2022  BLanczosTime: 462653
  200. Fri Apr  8 23:18:09 2022
  201. Fri Apr  8 23:18:09 2022  commencing square root phase
  202. Fri Apr  8 23:18:09 2022  reading relations for dependency 1
  203. Fri Apr  8 23:18:13 2022  read 18776715 cycles
  204. Fri Apr  8 23:18:51 2022  cycles contain 68401584 unique relations
  205. Fri Apr  8 23:30:26 2022  read 68401584 relations
  206. Fri Apr  8 23:35:37 2022  multiplying 68401584 relations
  207. Sat Apr  9 00:31:46 2022  multiply complete, coefficients have about 1919.04 million bits
  208. Sat Apr  9 00:31:52 2022  initial square root is modulo 405749101
  209. Sat Apr  9 01:32:28 2022  GCD is N, no factor found
  210. Fri Apr  8 23:18:56 2022
  211. Fri Apr  8 23:18:56 2022
  212. Fri Apr  8 23:18:56 2022  Msieve v. 1.54 (SVN unknown)
  213. Fri Apr  8 23:18:56 2022  random seeds: 75fb6838 30e544fc
  214. Fri Apr  8 23:18:56 2022  factoring 600180101389190209656962886737462955193716809602344436593164981361142663026643722886860023994566449971956472765399358073397923990824116032560877675192886833776067626390220812845985379061182931413482041852681840210451674695513150751134617 (237 digits)
  215. Fri Apr  8 23:18:57 2022  no P-1/P+1/ECM available, skipping
  216. Fri Apr  8 23:18:57 2022  commencing number field sieve (237-digit input)
  217. Fri Apr  8 23:18:57 2022  R0: 1007652543192009835781427081612966648201406939
  218. Fri Apr  8 23:18:57 2022  R1: -2034803789214860371375372991921409003294478565376
  219. Fri Apr  8 23:18:57 2022  A0: 126
  220. Fri Apr  8 23:18:57 2022  A1: 0
  221. Fri Apr  8 23:18:57 2022  A2: 0
  222. Fri Apr  8 23:18:57 2022  A3: 0
  223. Fri Apr  8 23:18:57 2022  A4: 0
  224. Fri Apr  8 23:18:57 2022  A5: 0
  225. Fri Apr  8 23:18:57 2022  A6: 1
  226. Fri Apr  8 23:18:57 2022  skew 2.24, size 2.341e-14, alpha 0.620, combined = 6.569e-15 rroots = 0
  227. Fri Apr  8 23:18:57 2022
  228. Fri Apr  8 23:18:57 2022  commencing square root phase
  229. Fri Apr  8 23:18:57 2022  handling dependencies 11 to 14
  230. Fri Apr  8 23:18:57 2022  reading relations for dependency 11
  231. Fri Apr  8 23:19:01 2022  read 18776860 cycles
  232. Fri Apr  8 23:19:41 2022  cycles contain 68401058 unique relations
  233. Fri Apr  8 23:31:21 2022  read 68401058 relations
  234. Fri Apr  8 23:37:34 2022  multiplying 68401058 relations
  235. Sat Apr  9 00:33:04 2022  multiply complete, coefficients have about 1919.02 million bits
  236. Sat Apr  9 00:33:11 2022  initial square root is modulo 405664603
  237. Sat Apr  9 01:33:49 2022  sqrtTime: 8092
  238. Sat Apr  9 01:33:49 2022  p74 factor: 62487372769664724283199514371990544312681464002829263983074643135729954533
  239. Sat Apr  9 01:33:49 2022  p163 factor: 9604822139050709737246235757957975189465358859243348028365301607373909309732828269165027202748348474833599050392340150874057976564939923766876833128043232984912549
  240. Sat Apr  9 01:33:49 2022  elapsed time 02:14:53
  241.  
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