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Msieve log of 347__881_13m1

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Jun 1st, 2021
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  1. Mon May 31 10:12:34 2021
  2. Mon May 31 10:12:34 2021
  3. Mon May 31 10:12:34 2021 Msieve v. 1.53 (SVN 988)
  4. Mon May 31 10:12:34 2021 random seeds: 1b2a2c40 0e77d211
  5. Mon May 31 10:12:34 2021 factoring 136062471936184504594153778655961614947172405027468036263628701932323271801590218943934714917698811615360531072929971635743566182218339892050411721468888412126670663087046419237822032114253 (189 digits)
  6. Mon May 31 10:12:35 2021 searching for 15-digit factors
  7. Mon May 31 10:12:36 2021 commencing number field sieve (189-digit input)
  8. Mon May 31 10:12:36 2021 R0: 12097386081300237872658723731358446162
  9. Mon May 31 10:12:36 2021 R1: -3478129681495535881
  10. Mon May 31 10:12:36 2021 A0: -1
  11. Mon May 31 10:12:36 2021 A1: 3
  12. Mon May 31 10:12:36 2021 A2: 6
  13. Mon May 31 10:12:36 2021 A3: -4
  14. Mon May 31 10:12:36 2021 A4: -5
  15. Mon May 31 10:12:36 2021 A5: 1
  16. Mon May 31 10:12:36 2021 A6: 1
  17. Mon May 31 10:12:36 2021 skew 1.00, size 5.724e-011, alpha 3.126, combined = 2.207e-012 rroots = 6
  18. Mon May 31 10:12:36 2021
  19. Mon May 31 10:12:36 2021 commencing relation filtering
  20. Mon May 31 10:12:36 2021 setting target matrix density to 110.0
  21. Mon May 31 10:12:36 2021 estimated available RAM is 12043.5 MB
  22. Mon May 31 10:12:36 2021 commencing duplicate removal, pass 1
  23. Mon May 31 10:13:24 2021 error -15 reading relation 5178931
  24. Mon May 31 10:13:24 2021 error -5 reading relation 5182760
  25. Mon May 31 10:13:30 2021 error -5 reading relation 5741157
  26. Mon May 31 10:16:44 2021 error -15 reading relation 24450113
  27. Mon May 31 10:18:17 2021 error -9 reading relation 34400504
  28. Mon May 31 10:18:49 2021 error -15 reading relation 37822946
  29. Mon May 31 10:18:59 2021 error -9 reading relation 38988437
  30. Mon May 31 10:20:28 2021 error -15 reading relation 48635641
  31. Mon May 31 10:20:38 2021 error -15 reading relation 49666610
  32. Mon May 31 10:20:48 2021 error -5 reading relation 50725394
  33. Mon May 31 10:21:36 2021 error -5 reading relation 55816158
  34. Mon May 31 10:23:46 2021 error -5 reading relation 69517771
  35. Mon May 31 10:25:03 2021 error -9 reading relation 77130060
  36. Mon May 31 10:25:33 2021 error -9 reading relation 80028020
  37. Mon May 31 10:27:04 2021 error -1 reading relation 89242417
  38. Mon May 31 10:27:11 2021 error -15 reading relation 89906023
  39. Mon May 31 10:27:16 2021 error -9 reading relation 90389380
  40. Mon May 31 10:27:20 2021 error -9 reading relation 90768140
  41. Mon May 31 10:28:08 2021 error -15 reading relation 95702392
  42. Mon May 31 10:28:22 2021 error -15 reading relation 97075742
  43. Mon May 31 10:28:27 2021 error -9 reading relation 97626207
  44. Mon May 31 10:29:14 2021 error -9 reading relation 102155670
  45. Mon May 31 10:29:15 2021 error -1 reading relation 102284167
  46. Mon May 31 10:30:20 2021 error -15 reading relation 108667609
  47. Mon May 31 10:30:30 2021 error -9 reading relation 109665008
  48. Mon May 31 10:30:36 2021 error -9 reading relation 110301352
  49. Mon May 31 10:30:45 2021 error -15 reading relation 111207553
  50. Mon May 31 10:30:46 2021 error -15 reading relation 111245007
  51. Mon May 31 10:30:52 2021 error -9 reading relation 111869508
  52. Mon May 31 10:30:53 2021 error -9 reading relation 111920547
  53. Mon May 31 10:31:06 2021 error -9 reading relation 113250645
  54. Mon May 31 10:31:09 2021 error -9 reading relation 113538858
  55. Mon May 31 10:31:11 2021 error -9 reading relation 113717277
  56. Mon May 31 10:31:12 2021 error -15 reading relation 113847251
  57. Mon May 31 10:31:13 2021 error -15 reading relation 113903059
  58. Mon May 31 10:31:18 2021 error -1 reading relation 114408995
  59. Mon May 31 10:31:27 2021 error -9 reading relation 115370897
  60. Mon May 31 10:31:34 2021 error -15 reading relation 116136364
  61. Mon May 31 10:31:43 2021 error -15 reading relation 117196627
  62. Mon May 31 10:31:45 2021 error -9 reading relation 117360537
  63. Mon May 31 10:31:45 2021 error -15 reading relation 117393540
  64. Mon May 31 10:31:50 2021 error -5 reading relation 117860571
  65. Mon May 31 10:31:53 2021 error -15 reading relation 118147951
  66. Mon May 31 10:32:02 2021 error -5 reading relation 119176453
  67. Mon May 31 10:32:02 2021 error -1 reading relation 119176454
  68. Mon May 31 10:32:02 2021 error -9 reading relation 119183710
  69. Mon May 31 10:32:08 2021 error -15 reading relation 119845746
  70. Mon May 31 10:32:25 2021 error -9 reading relation 121711086
  71. Mon May 31 10:33:41 2021 error -15 reading relation 129743701
  72. Mon May 31 10:33:42 2021 error -9 reading relation 129805425
  73. Mon May 31 10:33:42 2021 error -9 reading relation 129838345
  74. Mon May 31 10:33:49 2021 error -9 reading relation 130517725
  75. Mon May 31 10:34:11 2021 error -9 reading relation 132908232
  76. Mon May 31 10:34:18 2021 error -15 reading relation 133550365
  77. Mon May 31 10:34:18 2021 error -9 reading relation 133589601
  78. Mon May 31 10:34:22 2021 error -1 reading relation 133941036
  79. Mon May 31 10:34:22 2021 error -15 reading relation 134003966
  80. Mon May 31 10:34:22 2021 error -15 reading relation 134012605
  81. Mon May 31 10:34:33 2021 error -15 reading relation 135139743
  82. Mon May 31 10:34:55 2021 skipped 12 relations with b > 2^32
  83. Mon May 31 10:34:55 2021 skipped 52 relations with composite factors
  84. Mon May 31 10:34:55 2021 found 25219186 hash collisions in 137461461 relations
  85. Mon May 31 10:35:03 2021 added 2438358 free relations
  86. Mon May 31 10:35:03 2021 commencing duplicate removal, pass 2
  87. Mon May 31 10:36:39 2021 found 22968697 duplicates and 116931122 unique relations
  88. Mon May 31 10:36:39 2021 memory use: 660.8 MB
  89. Mon May 31 10:36:40 2021 reading ideals above 72024064
  90. Mon May 31 10:36:40 2021 commencing singleton removal, initial pass
  91. Mon May 31 10:51:02 2021 memory use: 1506.0 MB
  92. Mon May 31 10:51:02 2021 reading all ideals from disk
  93. Mon May 31 10:51:06 2021 memory use: 1956.9 MB
  94. Mon May 31 10:51:12 2021 commencing in-memory singleton removal
  95. Mon May 31 10:51:18 2021 begin with 116931122 relations and 80779660 unique ideals
  96. Mon May 31 10:52:00 2021 reduce to 88162333 relations and 50198702 ideals in 9 passes
  97. Mon May 31 10:52:00 2021 max relations containing the same ideal: 62
  98. Mon May 31 10:52:08 2021 reading ideals above 720000
  99. Mon May 31 10:52:08 2021 commencing singleton removal, initial pass
  100. Mon May 31 11:07:10 2021 memory use: 1506.0 MB
  101. Mon May 31 11:07:10 2021 reading all ideals from disk
  102. Mon May 31 11:07:16 2021 memory use: 3262.8 MB
  103. Mon May 31 11:07:30 2021 keeping 58202451 ideals with weight <= 200, target excess is 456183
  104. Mon May 31 11:07:42 2021 commencing in-memory singleton removal
  105. Mon May 31 11:07:54 2021 begin with 88162333 relations and 58202451 unique ideals
  106. Mon May 31 11:08:29 2021 reduce to 88162306 relations and 58202424 ideals in 4 passes
  107. Mon May 31 11:08:29 2021 max relations containing the same ideal: 200
  108. Mon May 31 11:09:14 2021 removing 6324082 relations and 4324082 ideals in 2000000 cliques
  109. Mon May 31 11:09:16 2021 commencing in-memory singleton removal
  110. Mon May 31 11:09:27 2021 begin with 81838224 relations and 58202424 unique ideals
  111. Mon May 31 11:10:15 2021 reduce to 81463232 relations and 53492411 ideals in 6 passes
  112. Mon May 31 11:10:15 2021 max relations containing the same ideal: 198
  113. Mon May 31 11:10:57 2021 removing 5395111 relations and 3395111 ideals in 2000000 cliques
  114. Mon May 31 11:10:59 2021 commencing in-memory singleton removal
  115. Mon May 31 11:11:08 2021 begin with 76068121 relations and 53492411 unique ideals
  116. Mon May 31 11:11:54 2021 reduce to 75817394 relations and 49840106 ideals in 6 passes
  117. Mon May 31 11:11:54 2021 max relations containing the same ideal: 190
  118. Mon May 31 11:12:33 2021 removing 5119237 relations and 3119237 ideals in 2000000 cliques
  119. Mon May 31 11:12:35 2021 commencing in-memory singleton removal
  120. Mon May 31 11:12:44 2021 begin with 70698157 relations and 49840106 unique ideals
  121. Mon May 31 11:13:25 2021 reduce to 70484724 relations and 46502064 ideals in 6 passes
  122. Mon May 31 11:13:25 2021 max relations containing the same ideal: 184
  123. Mon May 31 11:14:01 2021 removing 4967184 relations and 2967184 ideals in 2000000 cliques
  124. Mon May 31 11:14:03 2021 commencing in-memory singleton removal
  125. Mon May 31 11:14:12 2021 begin with 65517540 relations and 46502064 unique ideals
  126. Mon May 31 11:14:52 2021 reduce to 65321265 relations and 43333445 ideals in 6 passes
  127. Mon May 31 11:14:52 2021 max relations containing the same ideal: 177
  128. Mon May 31 11:15:27 2021 removing 4865395 relations and 2865395 ideals in 2000000 cliques
  129. Mon May 31 11:15:29 2021 commencing in-memory singleton removal
  130. Mon May 31 11:15:37 2021 begin with 60455870 relations and 43333445 unique ideals
  131. Mon May 31 11:16:08 2021 reduce to 60268174 relations and 40275243 ideals in 5 passes
  132. Mon May 31 11:16:08 2021 max relations containing the same ideal: 167
  133. Mon May 31 11:16:41 2021 removing 4788388 relations and 2788388 ideals in 2000000 cliques
  134. Mon May 31 11:16:44 2021 commencing in-memory singleton removal
  135. Mon May 31 11:16:51 2021 begin with 55479786 relations and 40275243 unique ideals
  136. Mon May 31 11:17:18 2021 reduce to 55292804 relations and 37294661 ideals in 5 passes
  137. Mon May 31 11:17:18 2021 max relations containing the same ideal: 159
  138. Mon May 31 11:17:48 2021 removing 4731624 relations and 2731624 ideals in 2000000 cliques
  139. Mon May 31 11:17:50 2021 commencing in-memory singleton removal
  140. Mon May 31 11:17:57 2021 begin with 50561180 relations and 37294661 unique ideals
  141. Mon May 31 11:18:23 2021 reduce to 50371359 relations and 34367473 ideals in 5 passes
  142. Mon May 31 11:18:23 2021 max relations containing the same ideal: 148
  143. Mon May 31 11:18:51 2021 removing 4686008 relations and 2686008 ideals in 2000000 cliques
  144. Mon May 31 11:18:53 2021 commencing in-memory singleton removal
  145. Mon May 31 11:18:59 2021 begin with 45685351 relations and 34367473 unique ideals
  146. Mon May 31 11:19:27 2021 reduce to 45487405 relations and 31477230 ideals in 6 passes
  147. Mon May 31 11:19:27 2021 max relations containing the same ideal: 140
  148. Mon May 31 11:19:52 2021 removing 4650897 relations and 2650897 ideals in 2000000 cliques
  149. Mon May 31 11:19:54 2021 commencing in-memory singleton removal
  150. Mon May 31 11:20:00 2021 begin with 40836508 relations and 31477230 unique ideals
  151. Mon May 31 11:20:26 2021 reduce to 40626831 relations and 28609499 ideals in 6 passes
  152. Mon May 31 11:20:26 2021 max relations containing the same ideal: 130
  153. Mon May 31 11:20:50 2021 removing 4622060 relations and 2622060 ideals in 2000000 cliques
  154. Mon May 31 11:20:52 2021 commencing in-memory singleton removal
  155. Mon May 31 11:20:57 2021 begin with 36004771 relations and 28609499 unique ideals
  156. Mon May 31 11:21:18 2021 reduce to 35778307 relations and 25752643 ideals in 5 passes
  157. Mon May 31 11:21:18 2021 max relations containing the same ideal: 120
  158. Mon May 31 11:21:42 2021 removing 4599475 relations and 2599475 ideals in 2000000 cliques
  159. Mon May 31 11:21:44 2021 commencing in-memory singleton removal
  160. Mon May 31 11:21:48 2021 begin with 31178832 relations and 25752643 unique ideals
  161. Mon May 31 11:22:08 2021 reduce to 30930873 relations and 22894969 ideals in 6 passes
  162. Mon May 31 11:22:08 2021 max relations containing the same ideal: 105
  163. Mon May 31 11:22:26 2021 removing 4582761 relations and 2582761 ideals in 2000000 cliques
  164. Mon May 31 11:22:27 2021 commencing in-memory singleton removal
  165. Mon May 31 11:22:30 2021 begin with 26348112 relations and 22894969 unique ideals
  166. Mon May 31 11:22:45 2021 reduce to 26070305 relations and 20021674 ideals in 6 passes
  167. Mon May 31 11:22:45 2021 max relations containing the same ideal: 95
  168. Mon May 31 11:22:59 2021 removing 4565205 relations and 2565205 ideals in 2000000 cliques
  169. Mon May 31 11:23:00 2021 commencing in-memory singleton removal
  170. Mon May 31 11:23:03 2021 begin with 21505100 relations and 20021674 unique ideals
  171. Mon May 31 11:23:14 2021 reduce to 21183042 relations and 17117358 ideals in 6 passes
  172. Mon May 31 11:23:14 2021 max relations containing the same ideal: 82
  173. Mon May 31 11:23:25 2021 removing 4547308 relations and 2547308 ideals in 2000000 cliques
  174. Mon May 31 11:23:27 2021 commencing in-memory singleton removal
  175. Mon May 31 11:23:29 2021 begin with 16635734 relations and 17117358 unique ideals
  176. Mon May 31 11:23:39 2021 reduce to 16242330 relations and 14151217 ideals in 7 passes
  177. Mon May 31 11:23:39 2021 max relations containing the same ideal: 70
  178. Mon May 31 11:23:47 2021 removing 3625350 relations and 2063410 ideals in 1561940 cliques
  179. Mon May 31 11:23:49 2021 commencing in-memory singleton removal
  180. Mon May 31 11:23:50 2021 begin with 12616980 relations and 14151217 unique ideals
  181. Mon May 31 11:23:59 2021 reduce to 12174287 relations and 11612609 ideals in 8 passes
  182. Mon May 31 11:23:59 2021 max relations containing the same ideal: 57
  183. Mon May 31 11:24:05 2021 removing 158798 relations and 126293 ideals in 32505 cliques
  184. Mon May 31 11:24:05 2021 commencing in-memory singleton removal
  185. Mon May 31 11:24:07 2021 begin with 12015489 relations and 11612609 unique ideals
  186. Mon May 31 11:24:12 2021 reduce to 12012660 relations and 11483476 ideals in 5 passes
  187. Mon May 31 11:24:12 2021 max relations containing the same ideal: 57
  188. Mon May 31 11:24:14 2021 relations with 0 large ideals: 33807
  189. Mon May 31 11:24:14 2021 relations with 1 large ideals: 13578
  190. Mon May 31 11:24:14 2021 relations with 2 large ideals: 123094
  191. Mon May 31 11:24:14 2021 relations with 3 large ideals: 643910
  192. Mon May 31 11:24:14 2021 relations with 4 large ideals: 1769466
  193. Mon May 31 11:24:14 2021 relations with 5 large ideals: 2885951
  194. Mon May 31 11:24:14 2021 relations with 6 large ideals: 2977244
  195. Mon May 31 11:24:14 2021 relations with 7+ large ideals: 3565610
  196. Mon May 31 11:24:14 2021 commencing 2-way merge
  197. Mon May 31 11:24:23 2021 reduce to 9285297 relation sets and 8756113 unique ideals
  198. Mon May 31 11:24:23 2021 commencing full merge
  199. Mon May 31 11:28:24 2021 memory use: 1089.7 MB
  200. Mon May 31 11:28:26 2021 found 4079508 cycles, need 4062313
  201. Mon May 31 11:28:26 2021 weight of 4062313 cycles is about 447491760 (110.16/cycle)
  202. Mon May 31 11:28:26 2021 distribution of cycle lengths:
  203. Mon May 31 11:28:26 2021 1 relations: 127980
  204. Mon May 31 11:28:26 2021 2 relations: 228748
  205. Mon May 31 11:28:26 2021 3 relations: 312916
  206. Mon May 31 11:28:26 2021 4 relations: 347683
  207. Mon May 31 11:28:26 2021 5 relations: 362707
  208. Mon May 31 11:28:26 2021 6 relations: 352187
  209. Mon May 31 11:28:26 2021 7 relations: 328636
  210. Mon May 31 11:28:26 2021 8 relations: 296932
  211. Mon May 31 11:28:26 2021 9 relations: 262376
  212. Mon May 31 11:28:26 2021 10+ relations: 1442148
  213. Mon May 31 11:28:26 2021 heaviest cycle: 28 relations
  214. Mon May 31 11:28:28 2021 commencing cycle optimization
  215. Mon May 31 11:28:36 2021 start with 34894728 relations
  216. Mon May 31 11:30:25 2021 pruned 2183978 relations
  217. Mon May 31 11:30:25 2021 memory use: 857.7 MB
  218. Mon May 31 11:30:25 2021 distribution of cycle lengths:
  219. Mon May 31 11:30:25 2021 1 relations: 127980
  220. Mon May 31 11:30:25 2021 2 relations: 235596
  221. Mon May 31 11:30:25 2021 3 relations: 329475
  222. Mon May 31 11:30:25 2021 4 relations: 368124
  223. Mon May 31 11:30:25 2021 5 relations: 389563
  224. Mon May 31 11:30:25 2021 6 relations: 376791
  225. Mon May 31 11:30:25 2021 7 relations: 352318
  226. Mon May 31 11:30:25 2021 8 relations: 314071
  227. Mon May 31 11:30:25 2021 9 relations: 274276
  228. Mon May 31 11:30:25 2021 10+ relations: 1294119
  229. Mon May 31 11:30:25 2021 heaviest cycle: 28 relations
  230. Mon May 31 11:30:31 2021 RelProcTime: 4675
  231. Mon May 31 11:30:31 2021
  232. Mon May 31 11:30:31 2021 commencing linear algebra
  233. Mon May 31 11:30:31 2021 read 4062313 cycles
  234. Mon May 31 11:30:41 2021 cycles contain 11784493 unique relations
  235. Mon May 31 11:32:22 2021 read 11784493 relations
  236. Mon May 31 11:32:49 2021 using 20 quadratic characters above 4294917295
  237. Mon May 31 11:33:57 2021 building initial matrix
  238. Mon May 31 11:37:05 2021 memory use: 1462.7 MB
  239. Mon May 31 11:37:10 2021 read 4062313 cycles
  240. Mon May 31 11:37:10 2021 matrix is 4062136 x 4062313 (1719.5 MB) with weight 488308434 (120.20/col)
  241. Mon May 31 11:37:10 2021 sparse part has weight 410128287 (100.96/col)
  242. Mon May 31 11:38:07 2021 filtering completed in 2 passes
  243. Mon May 31 11:38:08 2021 matrix is 4061925 x 4062102 (1719.5 MB) with weight 488301002 (120.21/col)
  244. Mon May 31 11:38:08 2021 sparse part has weight 410125212 (100.96/col)
  245. Mon May 31 11:38:21 2021 matrix starts at (0, 0)
  246. Mon May 31 11:38:22 2021 matrix is 4061925 x 4062102 (1719.5 MB) with weight 488301002 (120.21/col)
  247. Mon May 31 11:38:22 2021 sparse part has weight 410125212 (100.96/col)
  248. Mon May 31 11:38:22 2021 saving the first 48 matrix rows for later
  249. Mon May 31 11:38:23 2021 matrix includes 64 packed rows
  250. Mon May 31 11:38:24 2021 matrix is 4061877 x 4062102 (1649.1 MB) with weight 417963164 (102.89/col)
  251. Mon May 31 11:38:24 2021 sparse part has weight 391687525 (96.42/col)
  252. Mon May 31 11:38:24 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  253. Mon May 31 11:38:47 2021 commencing Lanczos iteration (6 threads)
  254. Mon May 31 11:38:47 2021 memory use: 1384.5 MB
  255. Mon May 31 11:39:04 2021 linear algebra at 0.0%, ETA 11h52m
  256. Mon May 31 11:39:10 2021 checkpointing every 340000 dimensions
  257. Mon May 31 23:33:02 2021 lanczos halted after 64239 iterations (dim = 4061873)
  258. Mon May 31 23:33:07 2021 recovered 33 nontrivial dependencies
  259. Mon May 31 23:33:08 2021 BLanczosTime: 43357
  260. Mon May 31 23:33:08 2021
  261. Mon May 31 23:33:08 2021 commencing square root phase
  262. Mon May 31 23:33:08 2021 handling dependencies 1 to 64
  263. Mon May 31 23:33:08 2021 reading relations for dependency 1
  264. Mon May 31 23:33:09 2021 read 2030044 cycles
  265. Mon May 31 23:33:13 2021 cycles contain 5892952 unique relations
  266. Mon May 31 23:34:23 2021 read 5892952 relations
  267. Mon May 31 23:34:55 2021 multiplying 5892952 relations
  268. Mon May 31 23:38:35 2021 multiply complete, coefficients have about 142.86 million bits
  269. Mon May 31 23:38:36 2021 initial square root is modulo 133963
  270. Mon May 31 23:42:25 2021 sqrtTime: 557
  271. Mon May 31 23:42:25 2021 p58 factor: 2917975085723219957521706814497075324937214020408647129597
  272. Mon May 31 23:42:25 2021 p131 factor: 46629072537972485373008156449208628637889546967019932773529679450799934844440423660279220079260498390673614564631917238460970812049
  273. Mon May 31 23:42:25 2021 elapsed time 13:29:51
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