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  1. Mon Sep 20 09:19:34 2021
  2. Mon Sep 20 09:19:34 2021
  3. Mon Sep 20 09:19:34 2021 Msieve v. 1.52 (SVN unknown)
  4. Mon Sep 20 09:19:34 2021 random seeds: a3d81050 58c07c7c
  5. Mon Sep 20 09:19:34 2021 factoring 2292534914688785980724325945961127139316392016928047421183342877389714524649008044617679542401175561673505739443695364903609417434775716623273207260761472021794682004458482890170940629784433146522689544398148227635957719952397166045716369507 (241 digits)
  6. Mon Sep 20 09:19:35 2021 no P-1/P+1/ECM available, skipping
  7. Mon Sep 20 09:19:35 2021 commencing number field sieve (241-digit input)
  8. Mon Sep 20 09:19:35 2021 R0: 8727963568087712425891397479476727340041449
  9. Mon Sep 20 09:19:35 2021 R1: -35184372088832
  10. Mon Sep 20 09:19:35 2021 A0: 2
  11. Mon Sep 20 09:19:35 2021 A1: 0
  12. Mon Sep 20 09:19:35 2021 A2: 0
  13. Mon Sep 20 09:19:35 2021 A3: 0
  14. Mon Sep 20 09:19:35 2021 A4: 0
  15. Mon Sep 20 09:19:35 2021 A5: 0
  16. Mon Sep 20 09:19:35 2021 A6: 9
  17. Mon Sep 20 09:19:35 2021 skew 0.78, size 7.988e-013, alpha 1.875, combined = 9.917e-014 rroots = 0
  18. Mon Sep 20 09:19:35 2021
  19. Mon Sep 20 09:19:35 2021 commencing relation filtering
  20. Mon Sep 20 09:19:35 2021 setting target matrix density to 120.0
  21. Mon Sep 20 09:19:35 2021 estimated available RAM is 16316.6 MB
  22. Mon Sep 20 09:19:35 2021 commencing duplicate removal, pass 1
  23. Mon Sep 20 09:20:22 2021 error -9 reading relation 5197416
  24. Mon Sep 20 09:20:31 2021 error -9 reading relation 6127651
  25. Mon Sep 20 09:20:31 2021 error -9 reading relation 6142343
  26. Mon Sep 20 09:20:41 2021 error -9 reading relation 7243000
  27. Mon Sep 20 09:57:47 2021 error -9 reading relation 257528205
  28. Mon Sep 20 09:57:50 2021 error -1 reading relation 257875640
  29. Mon Sep 20 09:57:55 2021 error -15 reading relation 258424368
  30. Mon Sep 20 09:57:56 2021 error -9 reading relation 258511315
  31. Mon Sep 20 09:57:57 2021 error -9 reading relation 258651735
  32. Mon Sep 20 09:58:00 2021 error -15 reading relation 259001794
  33. Mon Sep 20 09:58:02 2021 error -1 reading relation 259207207
  34. Mon Sep 20 09:58:04 2021 error -15 reading relation 259418775
  35. Mon Sep 20 09:58:05 2021 skipped 1244 relations with b > 2^32
  36. Mon Sep 20 09:58:05 2021 found 55317329 hash collisions in 259546187 relations
  37. Mon Sep 20 09:58:31 2021 added 1218913 free relations
  38. Mon Sep 20 09:58:31 2021 commencing duplicate removal, pass 2
  39. Mon Sep 20 10:05:39 2021 found 57247772 duplicates and 203517328 unique relations
  40. Mon Sep 20 10:05:39 2021 memory use: 1449.5 MB
  41. Mon Sep 20 10:05:39 2021 reading ideals above 194969600
  42. Mon Sep 20 10:05:39 2021 commencing singleton removal, initial pass
  43. Mon Sep 20 10:39:56 2021 memory use: 3012.0 MB
  44. Mon Sep 20 10:39:56 2021 reading all ideals from disk
  45. Mon Sep 20 10:40:41 2021 memory use: 3462.4 MB
  46. Mon Sep 20 10:40:48 2021 commencing in-memory singleton removal
  47. Mon Sep 20 10:40:54 2021 begin with 203517328 relations and 160960491 unique ideals
  48. Mon Sep 20 10:42:09 2021 reduce to 142862092 relations and 94985174 ideals in 13 passes
  49. Mon Sep 20 10:42:09 2021 max relations containing the same ideal: 37
  50. Mon Sep 20 10:42:19 2021 reading ideals above 720000
  51. Mon Sep 20 10:42:19 2021 commencing singleton removal, initial pass
  52. Mon Sep 20 11:12:50 2021 memory use: 3012.0 MB
  53. Mon Sep 20 11:12:50 2021 reading all ideals from disk
  54. Mon Sep 20 11:14:18 2021 memory use: 5906.2 MB
  55. Mon Sep 20 11:14:34 2021 keeping 115854343 ideals with weight <= 200, target excess is 761227
  56. Mon Sep 20 11:14:53 2021 commencing in-memory singleton removal
  57. Mon Sep 20 11:15:05 2021 begin with 142862092 relations and 115854343 unique ideals
  58. Mon Sep 20 11:16:36 2021 reduce to 142850265 relations and 115842514 ideals in 7 passes
  59. Mon Sep 20 11:16:36 2021 max relations containing the same ideal: 200
  60. Mon Sep 20 11:17:38 2021 removing 10570770 relations and 8570770 ideals in 2000000 cliques
  61. Mon Sep 20 11:17:41 2021 commencing in-memory singleton removal
  62. Mon Sep 20 11:17:52 2021 begin with 132279495 relations and 115842514 unique ideals
  63. Mon Sep 20 11:19:27 2021 reduce to 131654490 relations and 106635236 ideals in 8 passes
  64. Mon Sep 20 11:19:27 2021 max relations containing the same ideal: 197
  65. Mon Sep 20 11:20:25 2021 removing 8142019 relations and 6142019 ideals in 2000000 cliques
  66. Mon Sep 20 11:20:28 2021 commencing in-memory singleton removal
  67. Mon Sep 20 11:20:38 2021 begin with 123512471 relations and 106635236 unique ideals
  68. Mon Sep 20 11:21:55 2021 reduce to 123092489 relations and 100066659 ideals in 7 passes
  69. Mon Sep 20 11:21:55 2021 max relations containing the same ideal: 191
  70. Mon Sep 20 11:22:49 2021 removing 7419314 relations and 5419314 ideals in 2000000 cliques
  71. Mon Sep 20 11:22:52 2021 commencing in-memory singleton removal
  72. Mon Sep 20 11:23:01 2021 begin with 115673175 relations and 100066659 unique ideals
  73. Mon Sep 20 11:24:14 2021 reduce to 115302476 relations and 94270910 ideals in 7 passes
  74. Mon Sep 20 11:24:14 2021 max relations containing the same ideal: 185
  75. Mon Sep 20 11:25:04 2021 removing 7057728 relations and 5057728 ideals in 2000000 cliques
  76. Mon Sep 20 11:25:07 2021 commencing in-memory singleton removal
  77. Mon Sep 20 11:25:16 2021 begin with 108244748 relations and 94270910 unique ideals
  78. Mon Sep 20 11:26:23 2021 reduce to 107894009 relations and 88856756 ideals in 7 passes
  79. Mon Sep 20 11:26:23 2021 max relations containing the same ideal: 177
  80. Mon Sep 20 11:27:11 2021 removing 6840376 relations and 4840376 ideals in 2000000 cliques
  81. Mon Sep 20 11:27:13 2021 commencing in-memory singleton removal
  82. Mon Sep 20 11:27:21 2021 begin with 101053633 relations and 88856756 unique ideals
  83. Mon Sep 20 11:28:15 2021 reduce to 100710892 relations and 83667936 ideals in 6 passes
  84. Mon Sep 20 11:28:15 2021 max relations containing the same ideal: 169
  85. Mon Sep 20 11:29:01 2021 removing 6700474 relations and 4700474 ideals in 2000000 cliques
  86. Mon Sep 20 11:29:03 2021 commencing in-memory singleton removal
  87. Mon Sep 20 11:29:10 2021 begin with 94010418 relations and 83667936 unique ideals
  88. Mon Sep 20 11:30:08 2021 reduce to 93666920 relations and 78617798 ideals in 7 passes
  89. Mon Sep 20 11:30:08 2021 max relations containing the same ideal: 163
  90. Mon Sep 20 11:30:51 2021 removing 6605107 relations and 4605107 ideals in 2000000 cliques
  91. Mon Sep 20 11:30:53 2021 commencing in-memory singleton removal
  92. Mon Sep 20 11:31:00 2021 begin with 87061813 relations and 78617798 unique ideals
  93. Mon Sep 20 11:31:53 2021 reduce to 86711324 relations and 73655636 ideals in 7 passes
  94. Mon Sep 20 11:31:53 2021 max relations containing the same ideal: 155
  95. Mon Sep 20 11:32:33 2021 removing 6547860 relations and 4547860 ideals in 2000000 cliques
  96. Mon Sep 20 11:32:35 2021 commencing in-memory singleton removal
  97. Mon Sep 20 11:32:41 2021 begin with 80163464 relations and 73655636 unique ideals
  98. Mon Sep 20 11:33:30 2021 reduce to 79798567 relations and 68735558 ideals in 7 passes
  99. Mon Sep 20 11:33:30 2021 max relations containing the same ideal: 145
  100. Mon Sep 20 11:34:07 2021 removing 6512301 relations and 4512301 ideals in 2000000 cliques
  101. Mon Sep 20 11:34:09 2021 commencing in-memory singleton removal
  102. Mon Sep 20 11:34:14 2021 begin with 73286266 relations and 68735558 unique ideals
  103. Mon Sep 20 11:34:58 2021 reduce to 72899358 relations and 63827914 ideals in 7 passes
  104. Mon Sep 20 11:34:58 2021 max relations containing the same ideal: 137
  105. Mon Sep 20 11:35:32 2021 removing 6497997 relations and 4497997 ideals in 2000000 cliques
  106. Mon Sep 20 11:35:34 2021 commencing in-memory singleton removal
  107. Mon Sep 20 11:35:39 2021 begin with 66401361 relations and 63827914 unique ideals
  108. Mon Sep 20 11:36:13 2021 reduce to 65988495 relations and 58907354 ideals in 6 passes
  109. Mon Sep 20 11:36:13 2021 max relations containing the same ideal: 128
  110. Mon Sep 20 11:36:44 2021 removing 6501067 relations and 4501067 ideals in 2000000 cliques
  111. Mon Sep 20 11:36:46 2021 commencing in-memory singleton removal
  112. Mon Sep 20 11:36:51 2021 begin with 59487428 relations and 58907354 unique ideals
  113. Mon Sep 20 11:37:31 2021 reduce to 59039415 relations and 53946802 ideals in 8 passes
  114. Mon Sep 20 11:37:31 2021 max relations containing the same ideal: 117
  115. Mon Sep 20 11:37:59 2021 removing 6517368 relations and 4517368 ideals in 2000000 cliques
  116. Mon Sep 20 11:38:00 2021 commencing in-memory singleton removal
  117. Mon Sep 20 11:38:05 2021 begin with 52522047 relations and 53946802 unique ideals
  118. Mon Sep 20 11:38:35 2021 reduce to 52020452 relations and 48913644 ideals in 7 passes
  119. Mon Sep 20 11:38:35 2021 max relations containing the same ideal: 108
  120. Mon Sep 20 11:39:00 2021 removing 6557866 relations and 4557866 ideals in 2000000 cliques
  121. Mon Sep 20 11:39:02 2021 commencing in-memory singleton removal
  122. Mon Sep 20 11:39:05 2021 begin with 45462586 relations and 48913644 unique ideals
  123. Mon Sep 20 11:39:35 2021 reduce to 44886616 relations and 43761181 ideals in 8 passes
  124. Mon Sep 20 11:39:35 2021 max relations containing the same ideal: 98
  125. Mon Sep 20 11:39:57 2021 removing 1175689 relations and 933278 ideals in 242411 cliques
  126. Mon Sep 20 11:39:58 2021 commencing in-memory singleton removal
  127. Mon Sep 20 11:40:01 2021 begin with 43710927 relations and 43761181 unique ideals
  128. Mon Sep 20 11:40:22 2021 reduce to 43690657 relations and 42807552 ideals in 6 passes
  129. Mon Sep 20 11:40:22 2021 max relations containing the same ideal: 95
  130. Mon Sep 20 11:40:31 2021 relations with 0 large ideals: 28550
  131. Mon Sep 20 11:40:31 2021 relations with 1 large ideals: 8123
  132. Mon Sep 20 11:40:31 2021 relations with 2 large ideals: 90043
  133. Mon Sep 20 11:40:31 2021 relations with 3 large ideals: 674552
  134. Mon Sep 20 11:40:31 2021 relations with 4 large ideals: 2768700
  135. Mon Sep 20 11:40:31 2021 relations with 5 large ideals: 6879484
  136. Mon Sep 20 11:40:31 2021 relations with 6 large ideals: 10812297
  137. Mon Sep 20 11:40:31 2021 relations with 7+ large ideals: 22428908
  138. Mon Sep 20 11:40:31 2021 commencing 2-way merge
  139. Mon Sep 20 11:40:59 2021 reduce to 29456937 relation sets and 28573832 unique ideals
  140. Mon Sep 20 11:40:59 2021 commencing full merge
  141. Mon Sep 20 11:54:56 2021 memory use: 3936.4 MB
  142. Mon Sep 20 11:55:00 2021 found 13573668 cycles, need 13508032
  143. Mon Sep 20 11:55:01 2021 weight of 13508032 cycles is about 1621640739 (120.05/cycle)
  144. Mon Sep 20 11:55:01 2021 distribution of cycle lengths:
  145. Mon Sep 20 11:55:01 2021 1 relations: 546119
  146. Mon Sep 20 11:55:01 2021 2 relations: 840203
  147. Mon Sep 20 11:55:01 2021 3 relations: 1003558
  148. Mon Sep 20 11:55:01 2021 4 relations: 1035692
  149. Mon Sep 20 11:55:01 2021 5 relations: 1066608
  150. Mon Sep 20 11:55:01 2021 6 relations: 1048068
  151. Mon Sep 20 11:55:01 2021 7 relations: 1023194
  152. Mon Sep 20 11:55:01 2021 8 relations: 966212
  153. Mon Sep 20 11:55:01 2021 9 relations: 900611
  154. Mon Sep 20 11:55:01 2021 10+ relations: 5077767
  155. Mon Sep 20 11:55:01 2021 heaviest cycle: 28 relations
  156. Mon Sep 20 11:55:03 2021 commencing cycle optimization
  157. Mon Sep 20 11:55:27 2021 start with 115282455 relations
  158. Mon Sep 20 12:01:06 2021 pruned 5531990 relations
  159. Mon Sep 20 12:01:06 2021 memory use: 3013.7 MB
  160. Mon Sep 20 12:01:06 2021 distribution of cycle lengths:
  161. Mon Sep 20 12:01:06 2021 1 relations: 546119
  162. Mon Sep 20 12:01:06 2021 2 relations: 861948
  163. Mon Sep 20 12:01:06 2021 3 relations: 1049156
  164. Mon Sep 20 12:01:06 2021 4 relations: 1083242
  165. Mon Sep 20 12:01:06 2021 5 relations: 1123484
  166. Mon Sep 20 12:01:06 2021 6 relations: 1102603
  167. Mon Sep 20 12:01:06 2021 7 relations: 1079198
  168. Mon Sep 20 12:01:06 2021 8 relations: 1014070
  169. Mon Sep 20 12:01:06 2021 9 relations: 940748
  170. Mon Sep 20 12:01:06 2021 10+ relations: 4707464
  171. Mon Sep 20 12:01:06 2021 heaviest cycle: 28 relations
  172. Mon Sep 20 12:01:45 2021 RelProcTime: 9730
  173. Mon Sep 20 12:01:45 2021
  174. Mon Sep 20 12:01:45 2021 commencing linear algebra
  175. Mon Sep 20 12:01:47 2021 read 13508032 cycles
  176. Mon Sep 20 12:02:14 2021 cycles contain 43281366 unique relations
  177. Mon Sep 20 12:09:56 2021 read 43281366 relations
  178. Mon Sep 20 12:11:18 2021 using 20 quadratic characters above 2147483588
  179. Mon Sep 20 12:14:19 2021 building initial matrix
  180. Mon Sep 20 12:23:26 2021 memory use: 5585.5 MB
  181. Mon Sep 20 12:23:44 2021 read 13508032 cycles
  182. Mon Sep 20 12:23:48 2021 matrix is 13507855 x 13508032 (6277.1 MB) with weight 1784432459 (132.10/col)
  183. Mon Sep 20 12:23:48 2021 sparse part has weight 1510415510 (111.82/col)
  184. Mon Sep 20 12:26:46 2021 filtering completed in 2 passes
  185. Mon Sep 20 12:26:49 2021 matrix is 13507641 x 13507818 (6277.0 MB) with weight 1784425132 (132.10/col)
  186. Mon Sep 20 12:26:49 2021 sparse part has weight 1510412607 (111.82/col)
  187. Mon Sep 20 12:28:48 2021 matrix starts at (0, 0)
  188. Mon Sep 20 12:28:51 2021 matrix is 13507641 x 13507818 (6277.0 MB) with weight 1784425132 (132.10/col)
  189. Mon Sep 20 12:28:51 2021 sparse part has weight 1510412607 (111.82/col)
  190. Mon Sep 20 12:28:51 2021 saving the first 48 matrix rows for later
  191. Mon Sep 20 12:28:56 2021 matrix includes 64 packed rows
  192. Mon Sep 20 12:28:58 2021 matrix is 13507593 x 13507818 (6044.2 MB) with weight 1538523434 (113.90/col)
  193. Mon Sep 20 12:28:58 2021 sparse part has weight 1449378603 (107.30/col)
  194. Mon Sep 20 12:28:58 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  195. Mon Sep 20 12:30:18 2021 commencing Lanczos iteration (8 threads)
  196. Mon Sep 20 12:30:18 2021 memory use: 5177.4 MB
  197. Mon Sep 20 12:32:17 2021 linear algebra at 0.0%, ETA 280h49m
  198. Mon Sep 20 12:32:55 2021 checkpointing every 50000 dimensions
  199. Sat Oct 02 05:26:56 2021 lanczos halted after 213607 iterations (dim = 13507590)
  200. Sat Oct 02 05:27:34 2021 recovered 37 nontrivial dependencies
  201. Sat Oct 02 05:27:52 2021 BLanczosTime: 1013167
  202. Sat Oct 02 05:27:52 2021
  203. Sat Oct 02 05:27:52 2021 commencing square root phase
  204. Sat Oct 02 05:27:52 2021 handling dependencies 1 to 64
  205. Sat Oct 02 05:27:52 2021 reading relations for dependency 1
  206. Sat Oct 02 05:28:00 2021 read 6755908 cycles
  207. Sat Oct 02 05:28:12 2021 cycles contain 21646952 unique relations
  208. Sat Oct 02 05:35:03 2021 read 21646952 relations
  209. Sat Oct 02 05:37:06 2021 multiplying 21646952 relations
  210. Sat Oct 02 05:59:06 2021 multiply complete, coefficients have about 630.62 million bits
  211. Sat Oct 02 05:59:14 2021 initial square root is modulo 455047
  212. Sat Oct 02 06:24:36 2021 GCD is N, no factor found
  213. Sat Oct 02 06:24:36 2021 reading relations for dependency 2
  214. Sat Oct 02 06:24:39 2021 read 6755706 cycles
  215. Sat Oct 02 06:24:51 2021 cycles contain 21644972 unique relations
  216. Sat Oct 02 06:31:41 2021 read 21644972 relations
  217. Sat Oct 02 06:33:43 2021 multiplying 21644972 relations
  218. Sat Oct 02 06:55:45 2021 multiply complete, coefficients have about 630.56 million bits
  219. Sat Oct 02 06:55:52 2021 initial square root is modulo 454063
  220. Sat Oct 02 07:21:03 2021 GCD is 1, no factor found
  221. Sat Oct 02 07:21:03 2021 reading relations for dependency 3
  222. Sat Oct 02 07:21:14 2021 read 6754617 cycles
  223. Sat Oct 02 07:21:27 2021 cycles contain 21642910 unique relations
  224. Sat Oct 02 07:28:21 2021 read 21642910 relations
  225. Sat Oct 02 07:30:24 2021 multiplying 21642910 relations
  226. Sat Oct 02 07:52:23 2021 multiply complete, coefficients have about 630.52 million bits
  227. Sat Oct 02 07:52:30 2021 initial square root is modulo 453631
  228. Sat Oct 02 08:17:40 2021 sqrtTime: 10188
  229. Sat Oct 02 08:17:40 2021 prp79 factor: 5926157860543723227651875669367803538786282364281975856313272142522523278313091
  230. Sat Oct 02 08:17:40 2021 prp162 factor: 386850125939514979715872480923640630901083653194383221721276471636577647131008814737317982423372305607008626598531492728044232311578388888023613205077422482876577
  231. Sat Oct 02 08:17:40 2021 elapsed time 286:58:06
  232.  
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