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Msieve log of 288__869_3m1

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Apr 30th, 2020
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  1. Wed Apr 29 20:30:22 2020
  2. Wed Apr 29 20:30:22 2020
  3. Wed Apr 29 20:30:22 2020 Msieve v. 1.53 (SVN 988)
  4. Wed Apr 29 20:30:22 2020 random seeds: 01be1588 c50681cc
  5. Wed Apr 29 20:30:22 2020 factoring 1974664733507684762040922706945952095166908912832640892984253808975105297753625086974846320474014911475738238669527115655870101325342043152752448545310859 (154 digits)
  6. Wed Apr 29 20:30:23 2020 searching for 15-digit factors
  7. Wed Apr 29 20:30:23 2020 commencing number field sieve (154-digit input)
  8. Wed Apr 29 20:30:23 2020 R0: -332607793273333787789052589883
  9. Wed Apr 29 20:30:23 2020 R1: 1860593266786913
  10. Wed Apr 29 20:30:23 2020 A0: -5169060135051400034099055200954504448
  11. Wed Apr 29 20:30:23 2020 A1: 1902481148599199338921104203904
  12. Wed Apr 29 20:30:23 2020 A2: 9879757381126376520282360
  13. Wed Apr 29 20:30:23 2020 A3: 2353337251198619074
  14. Wed Apr 29 20:30:23 2020 A4: -1808089404647
  15. Wed Apr 29 20:30:23 2020 A5: 485100
  16. Wed Apr 29 20:30:23 2020 skew 1918252.09, size 6.197e-015, alpha -7.249, combined = 3.346e-012 rroots = 1
  17. Wed Apr 29 20:30:23 2020
  18. Wed Apr 29 20:30:23 2020 commencing relation filtering
  19. Wed Apr 29 20:30:23 2020 setting target matrix density to 120.0
  20. Wed Apr 29 20:30:23 2020 estimated available RAM is 12043.5 MB
  21. Wed Apr 29 20:30:23 2020 commencing duplicate removal, pass 1
  22. Wed Apr 29 20:31:38 2020 error -9 reading relation 6139103
  23. Wed Apr 29 20:32:29 2020 error -9 reading relation 10438393
  24. Wed Apr 29 20:33:13 2020 error -15 reading relation 14057580
  25. Wed Apr 29 20:33:24 2020 error -9 reading relation 15033368
  26. Wed Apr 29 20:34:34 2020 error -1 reading relation 20922065
  27. Wed Apr 29 20:35:32 2020 error -9 reading relation 25789275
  28. Wed Apr 29 20:36:03 2020 error -9 reading relation 28410548
  29. Wed Apr 29 20:37:14 2020 error -9 reading relation 34434048
  30. Wed Apr 29 20:37:46 2020 error -15 reading relation 37058757
  31. Wed Apr 29 20:37:55 2020 error -15 reading relation 37811595
  32. Wed Apr 29 20:38:04 2020 error -1 reading relation 38539504
  33. Wed Apr 29 20:39:10 2020 error -5 reading relation 44125720
  34. Wed Apr 29 20:39:12 2020 error -1 reading relation 44296457
  35. Wed Apr 29 20:39:27 2020 error -1 reading relation 45556823
  36. Wed Apr 29 20:39:27 2020 error -9 reading relation 45570284
  37. Wed Apr 29 20:39:48 2020 error -15 reading relation 47370590
  38. Wed Apr 29 20:39:55 2020 error -15 reading relation 47925575
  39. Wed Apr 29 20:40:21 2020 error -15 reading relation 50043296
  40. Wed Apr 29 20:40:28 2020 error -9 reading relation 50653226
  41. Wed Apr 29 20:40:28 2020 error -9 reading relation 50684008
  42. Wed Apr 29 20:40:34 2020 error -15 reading relation 51213395
  43. Wed Apr 29 20:40:36 2020 error -15 reading relation 51348890
  44. Wed Apr 29 20:40:37 2020 error -15 reading relation 51426281
  45. Wed Apr 29 20:40:38 2020 error -1 reading relation 51477563
  46. Wed Apr 29 20:40:47 2020 error -15 reading relation 52219034
  47. Wed Apr 29 20:41:16 2020 error -5 reading relation 54647175
  48. Wed Apr 29 20:41:17 2020 error -15 reading relation 54782287
  49. Wed Apr 29 20:41:22 2020 error -15 reading relation 55177667
  50. Wed Apr 29 20:41:27 2020 error -15 reading relation 55564222
  51. Wed Apr 29 20:41:28 2020 error -1 reading relation 55703939
  52. Wed Apr 29 20:41:37 2020 error -9 reading relation 56428270
  53. Wed Apr 29 20:41:42 2020 error -9 reading relation 56843702
  54. Wed Apr 29 20:41:43 2020 error -5 reading relation 56962185
  55. Wed Apr 29 20:41:54 2020 error -9 reading relation 57907450
  56. Wed Apr 29 20:41:55 2020 error -15 reading relation 57969424
  57. Wed Apr 29 20:41:55 2020 error -9 reading relation 57971145
  58. Wed Apr 29 20:41:56 2020 error -15 reading relation 58018359
  59. Wed Apr 29 20:41:58 2020 error -15 reading relation 58161904
  60. Wed Apr 29 20:41:59 2020 error -9 reading relation 58320764
  61. Wed Apr 29 20:42:02 2020 error -15 reading relation 58545602
  62. Wed Apr 29 20:42:03 2020 error -5 reading relation 58636385
  63. Wed Apr 29 20:42:04 2020 error -9 reading relation 58716862
  64. Wed Apr 29 20:42:05 2020 error -9 reading relation 58758050
  65. Wed Apr 29 20:42:06 2020 error -15 reading relation 58855986
  66. Wed Apr 29 20:42:06 2020 error -15 reading relation 58861389
  67. Wed Apr 29 20:42:08 2020 error -15 reading relation 59098443
  68. Wed Apr 29 20:42:09 2020 error -1 reading relation 59110710
  69. Wed Apr 29 20:42:13 2020 error -15 reading relation 59527285
  70. Wed Apr 29 20:42:20 2020 error -15 reading relation 60083631
  71. Wed Apr 29 20:42:25 2020 error -15 reading relation 60567674
  72. Wed Apr 29 20:42:28 2020 error -9 reading relation 60793302
  73. Wed Apr 29 20:42:28 2020 error -1 reading relation 60821873
  74. Wed Apr 29 20:42:31 2020 error -15 reading relation 61030863
  75. Wed Apr 29 20:42:32 2020 error -15 reading relation 61106525
  76. Wed Apr 29 20:42:32 2020 error -15 reading relation 61114419
  77. Wed Apr 29 20:42:37 2020 error -9 reading relation 61505431
  78. Wed Apr 29 20:42:38 2020 error -9 reading relation 61573993
  79. Wed Apr 29 20:42:40 2020 error -15 reading relation 61760524
  80. Wed Apr 29 20:42:42 2020 error -1 reading relation 61986484
  81. Wed Apr 29 20:42:43 2020 error -15 reading relation 62008431
  82. Wed Apr 29 20:42:44 2020 error -15 reading relation 62111856
  83. Wed Apr 29 20:42:53 2020 error -15 reading relation 62872937
  84. Wed Apr 29 20:43:01 2020 error -1 reading relation 63503699
  85. Wed Apr 29 20:43:07 2020 error -9 reading relation 63981237
  86. Wed Apr 29 20:43:07 2020 error -9 reading relation 63981319
  87. Wed Apr 29 20:43:10 2020 skipped 39 relations with composite factors
  88. Wed Apr 29 20:43:10 2020 found 12831690 hash collisions in 64266522 relations
  89. Wed Apr 29 20:43:45 2020 added 121928 free relations
  90. Wed Apr 29 20:43:45 2020 commencing duplicate removal, pass 2
  91. Wed Apr 29 20:44:33 2020 found 12498904 duplicates and 51889546 unique relations
  92. Wed Apr 29 20:44:33 2020 memory use: 330.4 MB
  93. Wed Apr 29 20:44:33 2020 reading ideals above 39911424
  94. Wed Apr 29 20:44:33 2020 commencing singleton removal, initial pass
  95. Wed Apr 29 20:52:39 2020 memory use: 1378.0 MB
  96. Wed Apr 29 20:52:40 2020 reading all ideals from disk
  97. Wed Apr 29 20:52:41 2020 memory use: 871.0 MB
  98. Wed Apr 29 20:52:43 2020 commencing in-memory singleton removal
  99. Wed Apr 29 20:52:46 2020 begin with 51889546 relations and 42299117 unique ideals
  100. Wed Apr 29 20:53:08 2020 reduce to 34115089 relations and 22762239 ideals in 12 passes
  101. Wed Apr 29 20:53:08 2020 max relations containing the same ideal: 39
  102. Wed Apr 29 20:53:11 2020 reading ideals above 720000
  103. Wed Apr 29 20:53:11 2020 commencing singleton removal, initial pass
  104. Wed Apr 29 20:59:37 2020 memory use: 753.0 MB
  105. Wed Apr 29 20:59:37 2020 reading all ideals from disk
  106. Wed Apr 29 20:59:39 2020 memory use: 1202.7 MB
  107. Wed Apr 29 20:59:45 2020 keeping 27430351 ideals with weight <= 200, target excess is 187368
  108. Wed Apr 29 20:59:49 2020 commencing in-memory singleton removal
  109. Wed Apr 29 20:59:53 2020 begin with 34115097 relations and 27430351 unique ideals
  110. Wed Apr 29 21:00:27 2020 reduce to 34108040 relations and 27423274 ideals in 9 passes
  111. Wed Apr 29 21:00:27 2020 max relations containing the same ideal: 200
  112. Wed Apr 29 21:00:49 2020 removing 4437155 relations and 3437155 ideals in 1000000 cliques
  113. Wed Apr 29 21:00:51 2020 commencing in-memory singleton removal
  114. Wed Apr 29 21:00:55 2020 begin with 29670885 relations and 27423274 unique ideals
  115. Wed Apr 29 21:01:22 2020 reduce to 29227990 relations and 23527364 ideals in 8 passes
  116. Wed Apr 29 21:01:22 2020 max relations containing the same ideal: 188
  117. Wed Apr 29 21:01:41 2020 removing 3496684 relations and 2496684 ideals in 1000000 cliques
  118. Wed Apr 29 21:01:42 2020 commencing in-memory singleton removal
  119. Wed Apr 29 21:01:46 2020 begin with 25731306 relations and 23527364 unique ideals
  120. Wed Apr 29 21:02:06 2020 reduce to 25415007 relations and 20703916 ideals in 7 passes
  121. Wed Apr 29 21:02:06 2020 max relations containing the same ideal: 174
  122. Wed Apr 29 21:02:23 2020 removing 3240300 relations and 2240300 ideals in 1000000 cliques
  123. Wed Apr 29 21:02:24 2020 commencing in-memory singleton removal
  124. Wed Apr 29 21:02:27 2020 begin with 22174707 relations and 20703916 unique ideals
  125. Wed Apr 29 21:02:45 2020 reduce to 21878655 relations and 18157077 ideals in 7 passes
  126. Wed Apr 29 21:02:45 2020 max relations containing the same ideal: 161
  127. Wed Apr 29 21:02:59 2020 removing 3125212 relations and 2125212 ideals in 1000000 cliques
  128. Wed Apr 29 21:03:01 2020 commencing in-memory singleton removal
  129. Wed Apr 29 21:03:03 2020 begin with 18753443 relations and 18157077 unique ideals
  130. Wed Apr 29 21:03:20 2020 reduce to 18449620 relations and 15716148 ideals in 8 passes
  131. Wed Apr 29 21:03:20 2020 max relations containing the same ideal: 144
  132. Wed Apr 29 21:03:32 2020 removing 3060244 relations and 2060244 ideals in 1000000 cliques
  133. Wed Apr 29 21:03:33 2020 commencing in-memory singleton removal
  134. Wed Apr 29 21:03:35 2020 begin with 15389376 relations and 15716148 unique ideals
  135. Wed Apr 29 21:03:47 2020 reduce to 15056795 relations and 13307865 ideals in 7 passes
  136. Wed Apr 29 21:03:47 2020 max relations containing the same ideal: 124
  137. Wed Apr 29 21:03:57 2020 removing 3026720 relations and 2026720 ideals in 1000000 cliques
  138. Wed Apr 29 21:03:58 2020 commencing in-memory singleton removal
  139. Wed Apr 29 21:04:00 2020 begin with 12030075 relations and 13307865 unique ideals
  140. Wed Apr 29 21:04:10 2020 reduce to 11638602 relations and 10867530 ideals in 8 passes
  141. Wed Apr 29 21:04:10 2020 max relations containing the same ideal: 105
  142. Wed Apr 29 21:04:18 2020 removing 1880065 relations and 1326340 ideals in 553725 cliques
  143. Wed Apr 29 21:04:19 2020 commencing in-memory singleton removal
  144. Wed Apr 29 21:04:20 2020 begin with 9758537 relations and 10867530 unique ideals
  145. Wed Apr 29 21:04:29 2020 reduce to 9555196 relations and 9329322 ideals in 9 passes
  146. Wed Apr 29 21:04:29 2020 max relations containing the same ideal: 92
  147. Wed Apr 29 21:04:35 2020 removing 57771 relations and 49244 ideals in 8527 cliques
  148. Wed Apr 29 21:04:36 2020 commencing in-memory singleton removal
  149. Wed Apr 29 21:04:37 2020 begin with 9497425 relations and 9329322 unique ideals
  150. Wed Apr 29 21:04:41 2020 reduce to 9497258 relations and 9279911 ideals in 4 passes
  151. Wed Apr 29 21:04:41 2020 max relations containing the same ideal: 92
  152. Wed Apr 29 21:04:43 2020 relations with 0 large ideals: 597
  153. Wed Apr 29 21:04:43 2020 relations with 1 large ideals: 1574
  154. Wed Apr 29 21:04:43 2020 relations with 2 large ideals: 24063
  155. Wed Apr 29 21:04:43 2020 relations with 3 large ideals: 182724
  156. Wed Apr 29 21:04:43 2020 relations with 4 large ideals: 735796
  157. Wed Apr 29 21:04:43 2020 relations with 5 large ideals: 1740711
  158. Wed Apr 29 21:04:43 2020 relations with 6 large ideals: 2561172
  159. Wed Apr 29 21:04:43 2020 relations with 7+ large ideals: 4250621
  160. Wed Apr 29 21:04:43 2020 commencing 2-way merge
  161. Wed Apr 29 21:04:52 2020 reduce to 6188161 relation sets and 5970814 unique ideals
  162. Wed Apr 29 21:04:52 2020 commencing full merge
  163. Wed Apr 29 21:07:52 2020 memory use: 779.9 MB
  164. Wed Apr 29 21:07:54 2020 found 2796205 cycles, need 2783014
  165. Wed Apr 29 21:07:54 2020 weight of 2783014 cycles is about 334186337 (120.08/cycle)
  166. Wed Apr 29 21:07:54 2020 distribution of cycle lengths:
  167. Wed Apr 29 21:07:54 2020 1 relations: 96108
  168. Wed Apr 29 21:07:54 2020 2 relations: 156647
  169. Wed Apr 29 21:07:54 2020 3 relations: 191274
  170. Wed Apr 29 21:07:54 2020 4 relations: 205594
  171. Wed Apr 29 21:07:54 2020 5 relations: 215440
  172. Wed Apr 29 21:07:54 2020 6 relations: 216282
  173. Wed Apr 29 21:07:54 2020 7 relations: 212695
  174. Wed Apr 29 21:07:54 2020 8 relations: 204035
  175. Wed Apr 29 21:07:54 2020 9 relations: 190118
  176. Wed Apr 29 21:07:54 2020 10+ relations: 1094821
  177. Wed Apr 29 21:07:54 2020 heaviest cycle: 28 relations
  178. Wed Apr 29 21:07:56 2020 commencing cycle optimization
  179. Wed Apr 29 21:08:02 2020 start with 24514137 relations
  180. Wed Apr 29 21:09:20 2020 pruned 1202411 relations
  181. Wed Apr 29 21:09:20 2020 memory use: 646.6 MB
  182. Wed Apr 29 21:09:20 2020 distribution of cycle lengths:
  183. Wed Apr 29 21:09:20 2020 1 relations: 96108
  184. Wed Apr 29 21:09:20 2020 2 relations: 161227
  185. Wed Apr 29 21:09:20 2020 3 relations: 200050
  186. Wed Apr 29 21:09:20 2020 4 relations: 215505
  187. Wed Apr 29 21:09:20 2020 5 relations: 227363
  188. Wed Apr 29 21:09:20 2020 6 relations: 228343
  189. Wed Apr 29 21:09:20 2020 7 relations: 225034
  190. Wed Apr 29 21:09:20 2020 8 relations: 214924
  191. Wed Apr 29 21:09:20 2020 9 relations: 199363
  192. Wed Apr 29 21:09:20 2020 10+ relations: 1015097
  193. Wed Apr 29 21:09:20 2020 heaviest cycle: 28 relations
  194. Wed Apr 29 21:09:25 2020 RelProcTime: 2342
  195. Wed Apr 29 21:09:25 2020
  196. Wed Apr 29 21:09:25 2020 commencing linear algebra
  197. Wed Apr 29 21:09:26 2020 read 2783014 cycles
  198. Wed Apr 29 21:09:33 2020 cycles contain 9382009 unique relations
  199. Wed Apr 29 21:10:59 2020 read 9382009 relations
  200. Wed Apr 29 21:11:21 2020 using 20 quadratic characters above 4294917295
  201. Wed Apr 29 21:12:21 2020 building initial matrix
  202. Wed Apr 29 21:15:10 2020 memory use: 1311.8 MB
  203. Wed Apr 29 21:15:13 2020 read 2783014 cycles
  204. Wed Apr 29 21:15:14 2020 matrix is 2782836 x 2783014 (1306.7 MB) with weight 401087552 (144.12/col)
  205. Wed Apr 29 21:15:14 2020 sparse part has weight 309149413 (111.08/col)
  206. Wed Apr 29 21:15:57 2020 filtering completed in 2 passes
  207. Wed Apr 29 21:15:57 2020 matrix is 2782799 x 2782977 (1306.7 MB) with weight 401085726 (144.12/col)
  208. Wed Apr 29 21:15:57 2020 sparse part has weight 309148993 (111.09/col)
  209. Wed Apr 29 21:16:07 2020 matrix starts at (0, 0)
  210. Wed Apr 29 21:16:08 2020 matrix is 2782799 x 2782977 (1306.7 MB) with weight 401085726 (144.12/col)
  211. Wed Apr 29 21:16:08 2020 sparse part has weight 309148993 (111.09/col)
  212. Wed Apr 29 21:16:08 2020 saving the first 48 matrix rows for later
  213. Wed Apr 29 21:16:09 2020 matrix includes 64 packed rows
  214. Wed Apr 29 21:16:09 2020 matrix is 2782751 x 2782977 (1270.1 MB) with weight 341688960 (122.78/col)
  215. Wed Apr 29 21:16:09 2020 sparse part has weight 305131620 (109.64/col)
  216. Wed Apr 29 21:16:09 2020 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  217. Wed Apr 29 21:16:31 2020 commencing Lanczos iteration (6 threads)
  218. Wed Apr 29 21:16:31 2020 memory use: 1037.2 MB
  219. Wed Apr 29 21:16:44 2020 linear algebra at 0.1%, ETA 6h 6m
  220. Wed Apr 29 21:16:49 2020 checkpointing every 430000 dimensions
  221. Thu Apr 30 03:18:51 2020 lanczos halted after 44007 iterations (dim = 2782751)
  222. Thu Apr 30 03:18:54 2020 recovered 33 nontrivial dependencies
  223. Thu Apr 30 03:18:55 2020 BLanczosTime: 22170
  224. Thu Apr 30 03:18:55 2020
  225. Thu Apr 30 03:18:55 2020 commencing square root phase
  226. Thu Apr 30 03:18:55 2020 handling dependencies 1 to 64
  227. Thu Apr 30 03:18:55 2020 reading relations for dependency 1
  228. Thu Apr 30 03:18:56 2020 read 1390381 cycles
  229. Thu Apr 30 03:18:59 2020 cycles contain 4687670 unique relations
  230. Thu Apr 30 03:19:51 2020 read 4687670 relations
  231. Thu Apr 30 03:20:21 2020 multiplying 4687670 relations
  232. Thu Apr 30 03:25:27 2020 multiply complete, coefficients have about 252.14 million bits
  233. Thu Apr 30 03:25:29 2020 initial square root is modulo 1118635577
  234. Thu Apr 30 03:31:47 2020 GCD is 1, no factor found
  235. Thu Apr 30 03:31:47 2020 reading relations for dependency 2
  236. Thu Apr 30 03:31:48 2020 read 1390435 cycles
  237. Thu Apr 30 03:31:51 2020 cycles contain 4689140 unique relations
  238. Thu Apr 30 03:32:43 2020 read 4689140 relations
  239. Thu Apr 30 03:33:12 2020 multiplying 4689140 relations
  240. Thu Apr 30 03:38:17 2020 multiply complete, coefficients have about 252.22 million bits
  241. Thu Apr 30 03:38:19 2020 initial square root is modulo 1126085099
  242. Thu Apr 30 03:44:38 2020 GCD is N, no factor found
  243. Thu Apr 30 03:44:38 2020 reading relations for dependency 3
  244. Thu Apr 30 03:44:39 2020 read 1392303 cycles
  245. Thu Apr 30 03:44:42 2020 cycles contain 4693414 unique relations
  246. Thu Apr 30 03:45:33 2020 read 4693414 relations
  247. Thu Apr 30 03:46:02 2020 multiplying 4693414 relations
  248. Thu Apr 30 03:51:10 2020 multiply complete, coefficients have about 252.45 million bits
  249. Thu Apr 30 03:51:12 2020 initial square root is modulo 1147487941
  250. Thu Apr 30 03:57:32 2020 GCD is 1, no factor found
  251. Thu Apr 30 03:57:32 2020 reading relations for dependency 4
  252. Thu Apr 30 03:57:33 2020 read 1390665 cycles
  253. Thu Apr 30 03:57:36 2020 cycles contain 4691170 unique relations
  254. Thu Apr 30 03:58:28 2020 read 4691170 relations
  255. Thu Apr 30 03:58:57 2020 multiplying 4691170 relations
  256. Thu Apr 30 04:04:05 2020 multiply complete, coefficients have about 252.33 million bits
  257. Thu Apr 30 04:04:07 2020 initial square root is modulo 1135976857
  258. Thu Apr 30 04:10:24 2020 GCD is 1, no factor found
  259. Thu Apr 30 04:10:24 2020 reading relations for dependency 5
  260. Thu Apr 30 04:10:25 2020 read 1392422 cycles
  261. Thu Apr 30 04:10:28 2020 cycles contain 4695078 unique relations
  262. Thu Apr 30 04:11:20 2020 read 4695078 relations
  263. Thu Apr 30 04:11:49 2020 multiplying 4695078 relations
  264. Thu Apr 30 04:16:56 2020 multiply complete, coefficients have about 252.55 million bits
  265. Thu Apr 30 04:16:58 2020 initial square root is modulo 1156382233
  266. Thu Apr 30 04:23:18 2020 sqrtTime: 3863
  267. Thu Apr 30 04:23:18 2020 p54 factor: 121973030257185685986599772476464754369990071482786463
  268. Thu Apr 30 04:23:18 2020 p101 factor: 16189355379168774385358405890290279035508076618251822822701573843840500918179144439136207057507884693
  269. Thu Apr 30 04:23:18 2020 elapsed time 07:52:56
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