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Msieve log of 925__631_7m1

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Jul 11th, 2021
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  1. Sat Jul 10 08:08:16 2021
  2. Sat Jul 10 08:08:16 2021
  3. Sat Jul 10 08:08:16 2021 Msieve v. 1.53 (SVN 988)
  4. Sat Jul 10 08:08:16 2021 random seeds: 1e167e9c cbcb6b52
  5. Sat Jul 10 08:08:16 2021 factoring 83207301194605929348985760000793716357783897824029035552871084194672737639445018358608400470160452828464187035022322817974619757237165306334976212312494940238022696472814260302201419644597288090464956464402325611906449159 (221 digits)
  6. Sat Jul 10 08:08:17 2021 searching for 15-digit factors
  7. Sat Jul 10 08:08:17 2021 commencing number field sieve (221-digit input)
  8. Sat Jul 10 08:08:17 2021 R0: 92540873081014498055954163740799462631
  9. Sat Jul 10 08:08:17 2021 R1: -1
  10. Sat Jul 10 08:08:17 2021 A0: 1
  11. Sat Jul 10 08:08:17 2021 A1: 1
  12. Sat Jul 10 08:08:17 2021 A2: 1
  13. Sat Jul 10 08:08:17 2021 A3: 1
  14. Sat Jul 10 08:08:17 2021 A4: 1
  15. Sat Jul 10 08:08:17 2021 A5: 1
  16. Sat Jul 10 08:08:17 2021 A6: 1
  17. Sat Jul 10 08:08:17 2021 skew 1.00, size 2.763e-011, alpha 2.428, combined = 1.335e-012 rroots = 0
  18. Sat Jul 10 08:08:17 2021
  19. Sat Jul 10 08:08:17 2021 commencing relation filtering
  20. Sat Jul 10 08:08:17 2021 setting target matrix density to 110.0
  21. Sat Jul 10 08:08:17 2021 estimated available RAM is 16151.1 MB
  22. Sat Jul 10 08:08:17 2021 commencing duplicate removal, pass 1
  23. Sat Jul 10 08:09:42 2021 error -9 reading relation 12452060
  24. Sat Jul 10 08:10:07 2021 error -9 reading relation 16062056
  25. Sat Jul 10 08:12:07 2021 error -5 reading relation 33520135
  26. Sat Jul 10 08:12:10 2021 error -15 reading relation 33921251
  27. Sat Jul 10 08:12:53 2021 error -9 reading relation 40262047
  28. Sat Jul 10 08:13:25 2021 error -5 reading relation 44861262
  29. Sat Jul 10 08:14:22 2021 error -5 reading relation 53409639
  30. Sat Jul 10 08:15:16 2021 error -9 reading relation 61196087
  31. Sat Jul 10 08:15:35 2021 error -15 reading relation 63922215
  32. Sat Jul 10 08:15:38 2021 error -15 reading relation 64445107
  33. Sat Jul 10 08:15:45 2021 error -9 reading relation 65426520
  34. Sat Jul 10 08:15:45 2021 error -9 reading relation 65436483
  35. Sat Jul 10 08:16:11 2021 error -9 reading relation 69228674
  36. Sat Jul 10 08:16:54 2021 error -15 reading relation 75447626
  37. Sat Jul 10 08:16:58 2021 error -9 reading relation 75970948
  38. Sat Jul 10 08:17:30 2021 error -9 reading relation 80610082
  39. Sat Jul 10 08:17:42 2021 error -9 reading relation 82352749
  40. Sat Jul 10 08:18:50 2021 error -15 reading relation 92156948
  41. Sat Jul 10 08:19:06 2021 error -15 reading relation 94439405
  42. Sat Jul 10 08:19:06 2021 error -15 reading relation 94536044
  43. Sat Jul 10 08:19:08 2021 error -5 reading relation 94863099
  44. Sat Jul 10 08:19:16 2021 error -9 reading relation 96012102
  45. Sat Jul 10 08:19:19 2021 error -9 reading relation 96472850
  46. Sat Jul 10 08:19:30 2021 error -1 reading relation 98020643
  47. Sat Jul 10 08:19:36 2021 error -15 reading relation 98848175
  48. Sat Jul 10 08:19:42 2021 error -9 reading relation 99742804
  49. Sat Jul 10 08:19:54 2021 error -5 reading relation 101484433
  50. Sat Jul 10 08:19:55 2021 error -15 reading relation 101643894
  51. Sat Jul 10 08:20:20 2021 error -9 reading relation 105303813
  52. Sat Jul 10 08:20:21 2021 error -1 reading relation 105463794
  53. Sat Jul 10 08:20:21 2021 error -9 reading relation 105493783
  54. Sat Jul 10 08:20:49 2021 error -9 reading relation 109577556
  55. Sat Jul 10 08:20:54 2021 error -9 reading relation 110324735
  56. Sat Jul 10 08:21:23 2021 error -9 reading relation 114533154
  57. Sat Jul 10 08:22:27 2021 error -15 reading relation 124157253
  58. Sat Jul 10 08:22:33 2021 error -15 reading relation 125046552
  59. Sat Jul 10 08:23:05 2021 error -9 reading relation 129592787
  60. Sat Jul 10 08:23:08 2021 error -9 reading relation 130084781
  61. Sat Jul 10 08:23:08 2021 error -1 reading relation 130096506
  62. Sat Jul 10 08:23:18 2021 error -15 reading relation 131711264
  63. Sat Jul 10 08:23:18 2021 error -1 reading relation 131711265
  64. Sat Jul 10 08:23:18 2021 error -9 reading relation 131746625
  65. Sat Jul 10 08:23:19 2021 error -1 reading relation 131811651
  66. Sat Jul 10 08:23:19 2021 error -15 reading relation 131882672
  67. Sat Jul 10 08:23:19 2021 error -5 reading relation 131882673
  68. Sat Jul 10 08:23:19 2021 error -9 reading relation 131915549
  69. Sat Jul 10 08:23:20 2021 error -9 reading relation 131947425
  70. Sat Jul 10 08:23:20 2021 error -15 reading relation 131981401
  71. Sat Jul 10 08:23:20 2021 error -9 reading relation 132016199
  72. Sat Jul 10 08:23:20 2021 error -5 reading relation 132051685
  73. Sat Jul 10 08:23:21 2021 error -15 reading relation 132088035
  74. Sat Jul 10 08:23:21 2021 error -9 reading relation 132112028
  75. Sat Jul 10 08:23:21 2021 error -9 reading relation 132149413
  76. Sat Jul 10 08:23:21 2021 error -1 reading relation 132186444
  77. Sat Jul 10 08:23:22 2021 error -9 reading relation 132216900
  78. Sat Jul 10 08:23:26 2021 error -5 reading relation 132851207
  79. Sat Jul 10 08:23:49 2021 skipped 20 relations with b > 2^32
  80. Sat Jul 10 08:23:49 2021 skipped 37 relations with composite factors
  81. Sat Jul 10 08:23:49 2021 found 25773038 hash collisions in 136234298 relations
  82. Sat Jul 10 08:23:55 2021 added 2438534 free relations
  83. Sat Jul 10 08:23:55 2021 commencing duplicate removal, pass 2
  84. Sat Jul 10 08:25:20 2021 found 24036948 duplicates and 114635884 unique relations
  85. Sat Jul 10 08:25:20 2021 memory use: 660.8 MB
  86. Sat Jul 10 08:25:20 2021 reading ideals above 83951616
  87. Sat Jul 10 08:25:20 2021 commencing singleton removal, initial pass
  88. Sat Jul 10 08:36:36 2021 memory use: 2756.0 MB
  89. Sat Jul 10 08:36:36 2021 reading all ideals from disk
  90. Sat Jul 10 08:36:39 2021 memory use: 1923.8 MB
  91. Sat Jul 10 08:36:46 2021 commencing in-memory singleton removal
  92. Sat Jul 10 08:36:52 2021 begin with 114635884 relations and 84416773 unique ideals
  93. Sat Jul 10 08:37:47 2021 reduce to 84702698 relations and 52082585 ideals in 11 passes
  94. Sat Jul 10 08:37:47 2021 max relations containing the same ideal: 45
  95. Sat Jul 10 08:37:54 2021 reading ideals above 720000
  96. Sat Jul 10 08:37:54 2021 commencing singleton removal, initial pass
  97. Sat Jul 10 08:49:03 2021 memory use: 1506.0 MB
  98. Sat Jul 10 08:49:03 2021 reading all ideals from disk
  99. Sat Jul 10 08:49:08 2021 memory use: 3173.3 MB
  100. Sat Jul 10 08:49:21 2021 keeping 61418573 ideals with weight <= 200, target excess is 436286
  101. Sat Jul 10 08:49:34 2021 commencing in-memory singleton removal
  102. Sat Jul 10 08:49:46 2021 begin with 84702699 relations and 61418573 unique ideals
  103. Sat Jul 10 08:50:17 2021 reduce to 84702568 relations and 61418442 ideals in 3 passes
  104. Sat Jul 10 08:50:17 2021 max relations containing the same ideal: 200
  105. Sat Jul 10 08:51:08 2021 removing 7606618 relations and 5606618 ideals in 2000000 cliques
  106. Sat Jul 10 08:51:10 2021 commencing in-memory singleton removal
  107. Sat Jul 10 08:51:21 2021 begin with 77095950 relations and 61418442 unique ideals
  108. Sat Jul 10 08:52:26 2021 reduce to 76529392 relations and 55228773 ideals in 7 passes
  109. Sat Jul 10 08:52:26 2021 max relations containing the same ideal: 195
  110. Sat Jul 10 08:53:10 2021 removing 6200019 relations and 4200019 ideals in 2000000 cliques
  111. Sat Jul 10 08:53:12 2021 commencing in-memory singleton removal
  112. Sat Jul 10 08:53:20 2021 begin with 70329373 relations and 55228773 unique ideals
  113. Sat Jul 10 08:54:17 2021 reduce to 69939383 relations and 50628631 ideals in 7 passes
  114. Sat Jul 10 08:54:17 2021 max relations containing the same ideal: 186
  115. Sat Jul 10 08:55:00 2021 removing 5778485 relations and 3778485 ideals in 2000000 cliques
  116. Sat Jul 10 08:55:02 2021 commencing in-memory singleton removal
  117. Sat Jul 10 08:55:11 2021 begin with 64160898 relations and 50628631 unique ideals
  118. Sat Jul 10 08:55:56 2021 reduce to 63817025 relations and 46496900 ideals in 6 passes
  119. Sat Jul 10 08:55:56 2021 max relations containing the same ideal: 176
  120. Sat Jul 10 08:56:33 2021 removing 5563534 relations and 3563534 ideals in 2000000 cliques
  121. Sat Jul 10 08:56:35 2021 commencing in-memory singleton removal
  122. Sat Jul 10 08:56:41 2021 begin with 58253491 relations and 46496900 unique ideals
  123. Sat Jul 10 08:57:29 2021 reduce to 57927329 relations and 42597805 ideals in 7 passes
  124. Sat Jul 10 08:57:29 2021 max relations containing the same ideal: 167
  125. Sat Jul 10 08:58:07 2021 removing 5427067 relations and 3427067 ideals in 2000000 cliques
  126. Sat Jul 10 08:58:09 2021 commencing in-memory singleton removal
  127. Sat Jul 10 08:58:15 2021 begin with 52500262 relations and 42597805 unique ideals
  128. Sat Jul 10 08:58:53 2021 reduce to 52176289 relations and 38836900 ideals in 6 passes
  129. Sat Jul 10 08:58:53 2021 max relations containing the same ideal: 159
  130. Sat Jul 10 08:59:25 2021 removing 5336675 relations and 3336675 ideals in 2000000 cliques
  131. Sat Jul 10 08:59:27 2021 commencing in-memory singleton removal
  132. Sat Jul 10 08:59:33 2021 begin with 46839614 relations and 38836900 unique ideals
  133. Sat Jul 10 09:00:11 2021 reduce to 46507849 relations and 35157344 ideals in 7 passes
  134. Sat Jul 10 09:00:11 2021 max relations containing the same ideal: 145
  135. Sat Jul 10 09:00:41 2021 removing 5271348 relations and 3271348 ideals in 2000000 cliques
  136. Sat Jul 10 09:00:43 2021 commencing in-memory singleton removal
  137. Sat Jul 10 09:00:48 2021 begin with 41236501 relations and 35157344 unique ideals
  138. Sat Jul 10 09:01:17 2021 reduce to 40887979 relations and 31524711 ideals in 6 passes
  139. Sat Jul 10 09:01:17 2021 max relations containing the same ideal: 131
  140. Sat Jul 10 09:01:43 2021 removing 5228712 relations and 3228712 ideals in 2000000 cliques
  141. Sat Jul 10 09:01:45 2021 commencing in-memory singleton removal
  142. Sat Jul 10 09:01:49 2021 begin with 35659267 relations and 31524711 unique ideals
  143. Sat Jul 10 09:02:18 2021 reduce to 35285759 relations and 27906920 ideals in 7 passes
  144. Sat Jul 10 09:02:18 2021 max relations containing the same ideal: 119
  145. Sat Jul 10 09:02:40 2021 removing 5191619 relations and 3191619 ideals in 2000000 cliques
  146. Sat Jul 10 09:02:42 2021 commencing in-memory singleton removal
  147. Sat Jul 10 09:02:46 2021 begin with 30094140 relations and 27906920 unique ideals
  148. Sat Jul 10 09:03:10 2021 reduce to 29684128 relations and 24286252 ideals in 7 passes
  149. Sat Jul 10 09:03:10 2021 max relations containing the same ideal: 104
  150. Sat Jul 10 09:03:29 2021 removing 5158090 relations and 3158090 ideals in 2000000 cliques
  151. Sat Jul 10 09:03:30 2021 commencing in-memory singleton removal
  152. Sat Jul 10 09:03:33 2021 begin with 24526038 relations and 24286252 unique ideals
  153. Sat Jul 10 09:03:52 2021 reduce to 24062678 relations and 20639320 ideals in 7 passes
  154. Sat Jul 10 09:03:52 2021 max relations containing the same ideal: 90
  155. Sat Jul 10 09:04:08 2021 removing 5126043 relations and 3126043 ideals in 2000000 cliques
  156. Sat Jul 10 09:04:10 2021 commencing in-memory singleton removal
  157. Sat Jul 10 09:04:12 2021 begin with 18936635 relations and 20639320 unique ideals
  158. Sat Jul 10 09:04:27 2021 reduce to 18370892 relations and 16909201 ideals in 7 passes
  159. Sat Jul 10 09:04:27 2021 max relations containing the same ideal: 75
  160. Sat Jul 10 09:04:39 2021 removing 2720916 relations and 1765317 ideals in 955599 cliques
  161. Sat Jul 10 09:04:39 2021 commencing in-memory singleton removal
  162. Sat Jul 10 09:04:41 2021 begin with 15649976 relations and 16909201 unique ideals
  163. Sat Jul 10 09:04:56 2021 reduce to 15340850 relations and 14819838 ideals in 9 passes
  164. Sat Jul 10 09:04:56 2021 max relations containing the same ideal: 67
  165. Sat Jul 10 09:05:06 2021 removing 81907 relations and 66987 ideals in 14920 cliques
  166. Sat Jul 10 09:05:07 2021 commencing in-memory singleton removal
  167. Sat Jul 10 09:05:09 2021 begin with 15258943 relations and 14819838 unique ideals
  168. Sat Jul 10 09:05:18 2021 reduce to 15258507 relations and 14752414 ideals in 5 passes
  169. Sat Jul 10 09:05:18 2021 max relations containing the same ideal: 67
  170. Sat Jul 10 09:05:20 2021 relations with 0 large ideals: 32628
  171. Sat Jul 10 09:05:20 2021 relations with 1 large ideals: 9765
  172. Sat Jul 10 09:05:20 2021 relations with 2 large ideals: 92299
  173. Sat Jul 10 09:05:20 2021 relations with 3 large ideals: 554906
  174. Sat Jul 10 09:05:20 2021 relations with 4 large ideals: 1788368
  175. Sat Jul 10 09:05:20 2021 relations with 5 large ideals: 3398850
  176. Sat Jul 10 09:05:20 2021 relations with 6 large ideals: 4008209
  177. Sat Jul 10 09:05:20 2021 relations with 7+ large ideals: 5373482
  178. Sat Jul 10 09:05:20 2021 commencing 2-way merge
  179. Sat Jul 10 09:05:34 2021 reduce to 10785713 relation sets and 10279620 unique ideals
  180. Sat Jul 10 09:05:34 2021 commencing full merge
  181. Sat Jul 10 09:10:58 2021 memory use: 1390.0 MB
  182. Sat Jul 10 09:11:01 2021 found 4951393 cycles, need 4915820
  183. Sat Jul 10 09:11:01 2021 weight of 4915820 cycles is about 541018086 (110.06/cycle)
  184. Sat Jul 10 09:11:01 2021 distribution of cycle lengths:
  185. Sat Jul 10 09:11:01 2021 1 relations: 165450
  186. Sat Jul 10 09:11:01 2021 2 relations: 267102
  187. Sat Jul 10 09:11:01 2021 3 relations: 346157
  188. Sat Jul 10 09:11:01 2021 4 relations: 379897
  189. Sat Jul 10 09:11:01 2021 5 relations: 405432
  190. Sat Jul 10 09:11:01 2021 6 relations: 408192
  191. Sat Jul 10 09:11:01 2021 7 relations: 399249
  192. Sat Jul 10 09:11:01 2021 8 relations: 375338
  193. Sat Jul 10 09:11:01 2021 9 relations: 344718
  194. Sat Jul 10 09:11:01 2021 10+ relations: 1824285
  195. Sat Jul 10 09:11:02 2021 heaviest cycle: 28 relations
  196. Sat Jul 10 09:11:05 2021 commencing cycle optimization
  197. Sat Jul 10 09:11:15 2021 start with 42172541 relations
  198. Sat Jul 10 09:13:33 2021 pruned 2223274 relations
  199. Sat Jul 10 09:13:33 2021 memory use: 1071.9 MB
  200. Sat Jul 10 09:13:33 2021 distribution of cycle lengths:
  201. Sat Jul 10 09:13:33 2021 1 relations: 165450
  202. Sat Jul 10 09:13:33 2021 2 relations: 274136
  203. Sat Jul 10 09:13:33 2021 3 relations: 361941
  204. Sat Jul 10 09:13:33 2021 4 relations: 398638
  205. Sat Jul 10 09:13:33 2021 5 relations: 430708
  206. Sat Jul 10 09:13:33 2021 6 relations: 432874
  207. Sat Jul 10 09:13:33 2021 7 relations: 425168
  208. Sat Jul 10 09:13:33 2021 8 relations: 397069
  209. Sat Jul 10 09:13:33 2021 9 relations: 362356
  210. Sat Jul 10 09:13:33 2021 10+ relations: 1667480
  211. Sat Jul 10 09:13:33 2021 heaviest cycle: 28 relations
  212. Sat Jul 10 09:13:41 2021 RelProcTime: 3924
  213. Sat Jul 10 09:13:41 2021
  214. Sat Jul 10 09:13:41 2021 commencing linear algebra
  215. Sat Jul 10 09:13:42 2021 read 4915820 cycles
  216. Sat Jul 10 09:13:54 2021 cycles contain 15037056 unique relations
  217. Sat Jul 10 09:15:20 2021 read 15037056 relations
  218. Sat Jul 10 09:15:55 2021 using 20 quadratic characters above 4294917295
  219. Sat Jul 10 09:16:49 2021 building initial matrix
  220. Sat Jul 10 09:20:12 2021 memory use: 1850.5 MB
  221. Sat Jul 10 09:20:17 2021 read 4915820 cycles
  222. Sat Jul 10 09:20:18 2021 matrix is 4915642 x 4915820 (2122.8 MB) with weight 605398379 (123.15/col)
  223. Sat Jul 10 09:20:18 2021 sparse part has weight 502406349 (102.20/col)
  224. Sat Jul 10 09:21:20 2021 filtering completed in 2 passes
  225. Sat Jul 10 09:21:21 2021 matrix is 4915474 x 4915652 (2122.8 MB) with weight 605391533 (123.16/col)
  226. Sat Jul 10 09:21:21 2021 sparse part has weight 502403030 (102.20/col)
  227. Sat Jul 10 09:21:37 2021 matrix starts at (0, 0)
  228. Sat Jul 10 09:21:38 2021 matrix is 4915474 x 4915652 (2122.8 MB) with weight 605391533 (123.16/col)
  229. Sat Jul 10 09:21:38 2021 sparse part has weight 502403030 (102.20/col)
  230. Sat Jul 10 09:21:38 2021 saving the first 48 matrix rows for later
  231. Sat Jul 10 09:21:40 2021 matrix includes 64 packed rows
  232. Sat Jul 10 09:21:41 2021 matrix is 4915426 x 4915652 (2028.0 MB) with weight 517513703 (105.28/col)
  233. Sat Jul 10 09:21:41 2021 sparse part has weight 482468324 (98.15/col)
  234. Sat Jul 10 09:21:41 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  235. Sat Jul 10 09:22:00 2021 commencing Lanczos iteration (6 threads)
  236. Sat Jul 10 09:22:00 2021 memory use: 1705.6 MB
  237. Sat Jul 10 09:22:27 2021 linear algebra at 0.0%, ETA 23h18m
  238. Sat Jul 10 09:22:36 2021 checkpointing every 210000 dimensions
  239. Sun Jul 11 07:54:58 2021 lanczos halted after 77733 iterations (dim = 4915426)
  240. Sun Jul 11 07:55:03 2021 recovered 38 nontrivial dependencies
  241. Sun Jul 11 07:55:04 2021 BLanczosTime: 81683
  242. Sun Jul 11 07:55:04 2021
  243. Sun Jul 11 07:55:04 2021 commencing square root phase
  244. Sun Jul 11 07:55:04 2021 handling dependencies 1 to 64
  245. Sun Jul 11 07:55:04 2021 reading relations for dependency 1
  246. Sun Jul 11 07:55:05 2021 read 2458447 cycles
  247. Sun Jul 11 07:55:10 2021 cycles contain 7520978 unique relations
  248. Sun Jul 11 07:56:00 2021 read 7520978 relations
  249. Sun Jul 11 07:56:42 2021 multiplying 7520978 relations
  250. Sun Jul 11 08:00:18 2021 multiply complete, coefficients have about 183.52 million bits
  251. Sun Jul 11 08:00:19 2021 initial square root is modulo 3855127
  252. Sun Jul 11 08:04:34 2021 GCD is N, no factor found
  253. Sun Jul 11 08:04:34 2021 reading relations for dependency 2
  254. Sun Jul 11 08:04:36 2021 read 2458040 cycles
  255. Sun Jul 11 08:04:41 2021 cycles contain 7519514 unique relations
  256. Sun Jul 11 08:05:32 2021 read 7519514 relations
  257. Sun Jul 11 08:06:12 2021 multiplying 7519514 relations
  258. Sun Jul 11 08:09:45 2021 multiply complete, coefficients have about 183.48 million bits
  259. Sun Jul 11 08:09:46 2021 initial square root is modulo 3843913
  260. Sun Jul 11 08:14:00 2021 GCD is N, no factor found
  261. Sun Jul 11 08:14:00 2021 reading relations for dependency 3
  262. Sun Jul 11 08:14:01 2021 read 2457176 cycles
  263. Sun Jul 11 08:14:06 2021 cycles contain 7516310 unique relations
  264. Sun Jul 11 08:14:56 2021 read 7516310 relations
  265. Sun Jul 11 08:15:36 2021 multiplying 7516310 relations
  266. Sun Jul 11 08:19:10 2021 multiply complete, coefficients have about 183.41 million bits
  267. Sun Jul 11 08:19:11 2021 initial square root is modulo 3820997
  268. Sun Jul 11 08:23:25 2021 sqrtTime: 1701
  269. Sun Jul 11 08:23:25 2021 p51 factor: 910302713736083710623154190285081143963442544607729
  270. Sun Jul 11 08:23:25 2021 p170 factor: 91406188226227249687990260374189551402080160181852501621615210604051201973998772650824182119978904339395361679633287937358034686987126071310591717867978423134196106647671
  271. Sun Jul 11 08:23:25 2021 elapsed time 24:15:09
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