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Msieve log of 165__521_7m1

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May 22nd, 2021
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  1. Tue May 18 21:21:42 2021
  2. Tue May 18 21:21:42 2021
  3. Tue May 18 21:21:42 2021 Msieve v. 1.53 (SVN 988)
  4. Tue May 18 21:21:42 2021 random seeds: 3c207e68 a2effcd2
  5. Tue May 18 21:21:42 2021 factoring 2261279568804755242866414231030837051763284363504183198067784897839179828678682034623323746941462527923149449075766124958885501751781389253283728906035092707736265075780516552198157 (181 digits)
  6. Tue May 18 21:21:43 2021 searching for 15-digit factors
  7. Tue May 18 21:21:43 2021 commencing number field sieve (181-digit input)
  8. Tue May 18 21:21:43 2021 R0: 1655251621832482749138189905425187521
  9. Tue May 18 21:21:43 2021 R1: -1
  10. Tue May 18 21:21:43 2021 A0: 1
  11. Tue May 18 21:21:43 2021 A1: 1
  12. Tue May 18 21:21:43 2021 A2: 1
  13. Tue May 18 21:21:43 2021 A3: 1
  14. Tue May 18 21:21:43 2021 A4: 1
  15. Tue May 18 21:21:43 2021 A5: 1
  16. Tue May 18 21:21:43 2021 A6: 1
  17. Tue May 18 21:21:43 2021 skew 1.00, size 8.723e-011, alpha 2.428, combined = 3.040e-012 rroots = 0
  18. Tue May 18 21:21:43 2021
  19. Tue May 18 21:21:43 2021 commencing relation filtering
  20. Tue May 18 21:21:43 2021 setting target matrix density to 100.0
  21. Tue May 18 21:21:43 2021 estimated available RAM is 12043.5 MB
  22. Tue May 18 21:21:43 2021 commencing duplicate removal, pass 1
  23. Tue May 18 21:22:49 2021 error -15 reading relation 6477837
  24. Tue May 18 21:23:04 2021 error -5 reading relation 8053285
  25. Tue May 18 21:25:26 2021 error -9 reading relation 22886892
  26. Tue May 18 21:27:06 2021 error -9 reading relation 33214239
  27. Tue May 18 21:27:06 2021 skipped 3 relations with composite factors
  28. Tue May 18 21:27:06 2021 found 4733676 hash collisions in 33222346 relations
  29. Tue May 18 21:27:15 2021 added 2437538 free relations
  30. Tue May 18 21:27:15 2021 commencing duplicate removal, pass 2
  31. Tue May 18 21:27:33 2021 found 4432338 duplicates and 31227546 unique relations
  32. Tue May 18 21:27:33 2021 memory use: 197.2 MB
  33. Tue May 18 21:27:33 2021 reading ideals above 720000
  34. Tue May 18 21:27:33 2021 commencing singleton removal, initial pass
  35. Tue May 18 21:32:50 2021 memory use: 753.0 MB
  36. Tue May 18 21:32:50 2021 reading all ideals from disk
  37. Tue May 18 21:32:51 2021 memory use: 1113.4 MB
  38. Tue May 18 21:32:55 2021 keeping 38616065 ideals with weight <= 200, target excess is 154323
  39. Tue May 18 21:32:59 2021 commencing in-memory singleton removal
  40. Tue May 18 21:33:03 2021 begin with 31227546 relations and 38616065 unique ideals
  41. Tue May 18 21:33:31 2021 reduce to 11371 relations and 0 ideals in 39 passes
  42. Tue May 18 21:33:31 2021 max relations containing the same ideal: 0
  43. Tue May 18 21:33:31 2021 filtering wants 1000000 more relations
  44. Tue May 18 21:33:31 2021 elapsed time 00:11:49
  45. Tue May 18 21:35:45 2021
  46. Tue May 18 21:35:45 2021
  47. Tue May 18 21:35:45 2021 Msieve v. 1.53 (SVN 988)
  48. Tue May 18 21:35:45 2021 random seeds: f5922c88 2c35fb0a
  49. Tue May 18 21:35:45 2021 factoring 2261279568804755242866414231030837051763284363504183198067784897839179828678682034623323746941462527923149449075766124958885501751781389253283728906035092707736265075780516552198157 (181 digits)
  50. Tue May 18 21:35:47 2021 searching for 15-digit factors
  51. Tue May 18 21:35:47 2021 commencing number field sieve (181-digit input)
  52. Tue May 18 21:35:47 2021 R0: 1655251621832482749138189905425187521
  53. Tue May 18 21:35:47 2021 R1: -1
  54. Tue May 18 21:35:47 2021 A0: 1
  55. Tue May 18 21:35:47 2021 A1: 1
  56. Tue May 18 21:35:47 2021 A2: 1
  57. Tue May 18 21:35:47 2021 A3: 1
  58. Tue May 18 21:35:47 2021 A4: 1
  59. Tue May 18 21:35:47 2021 A5: 1
  60. Tue May 18 21:35:47 2021 A6: 1
  61. Tue May 18 21:35:47 2021 skew 1.00, size 8.723e-011, alpha 2.428, combined = 3.040e-012 rroots = 0
  62. Tue May 18 21:35:47 2021
  63. Tue May 18 21:35:47 2021 commencing relation filtering
  64. Tue May 18 21:35:47 2021 setting target matrix density to 70.0
  65. Tue May 18 21:35:47 2021 estimated available RAM is 12043.5 MB
  66. Tue May 18 21:35:47 2021 commencing duplicate removal, pass 1
  67. Tue May 18 21:36:54 2021 error -15 reading relation 6477837
  68. Tue May 18 21:37:10 2021 error -5 reading relation 8053285
  69. Tue May 18 21:39:44 2021 error -9 reading relation 22886892
  70. Tue May 18 21:41:27 2021 error -9 reading relation 33214239
  71. Tue May 18 21:42:13 2021 skipped 3 relations with composite factors
  72. Tue May 18 21:42:13 2021 found 4841666 hash collisions in 35659884 relations
  73. Tue May 18 21:42:13 2021 commencing duplicate removal, pass 2
  74. Tue May 18 21:42:32 2021 found 4432338 duplicates and 31227546 unique relations
  75. Tue May 18 21:42:32 2021 memory use: 197.2 MB
  76. Tue May 18 21:42:32 2021 reading ideals above 720000
  77. Tue May 18 21:42:32 2021 commencing singleton removal, initial pass
  78. Tue May 18 21:48:00 2021 memory use: 753.0 MB
  79. Tue May 18 21:48:00 2021 reading all ideals from disk
  80. Tue May 18 21:48:01 2021 memory use: 1113.4 MB
  81. Tue May 18 21:48:05 2021 keeping 38616065 ideals with weight <= 200, target excess is 154323
  82. Tue May 18 21:48:09 2021 commencing in-memory singleton removal
  83. Tue May 18 21:48:13 2021 begin with 31227546 relations and 38616065 unique ideals
  84. Tue May 18 21:48:41 2021 reduce to 11371 relations and 0 ideals in 39 passes
  85. Tue May 18 21:48:41 2021 max relations containing the same ideal: 0
  86. Tue May 18 21:48:41 2021 filtering wants 1000000 more relations
  87. Tue May 18 21:48:41 2021 elapsed time 00:12:56
  88. Sat May 22 13:38:19 2021
  89. Sat May 22 13:38:19 2021
  90. Sat May 22 13:38:19 2021 Msieve v. 1.53 (SVN 988)
  91. Sat May 22 13:38:19 2021 random seeds: cd9c9b60 4ecc5bd4
  92. Sat May 22 13:38:19 2021 factoring 2261279568804755242866414231030837051763284363504183198067784897839179828678682034623323746941462527923149449075766124958885501751781389253283728906035092707736265075780516552198157 (181 digits)
  93. Sat May 22 13:38:20 2021 searching for 15-digit factors
  94. Sat May 22 13:38:21 2021 commencing number field sieve (181-digit input)
  95. Sat May 22 13:38:21 2021 R0: 1655251621832482749138189905425187521
  96. Sat May 22 13:38:21 2021 R1: -1
  97. Sat May 22 13:38:21 2021 A0: 1
  98. Sat May 22 13:38:21 2021 A1: 1
  99. Sat May 22 13:38:21 2021 A2: 1
  100. Sat May 22 13:38:21 2021 A3: 1
  101. Sat May 22 13:38:21 2021 A4: 1
  102. Sat May 22 13:38:21 2021 A5: 1
  103. Sat May 22 13:38:21 2021 A6: 1
  104. Sat May 22 13:38:21 2021 skew 1.00, size 8.723e-011, alpha 2.428, combined = 3.040e-012 rroots = 0
  105. Sat May 22 13:38:21 2021
  106. Sat May 22 13:38:21 2021 commencing relation filtering
  107. Sat May 22 13:38:21 2021 setting target matrix density to 100.0
  108. Sat May 22 13:38:21 2021 estimated available RAM is 12043.5 MB
  109. Sat May 22 13:38:21 2021 commencing duplicate removal, pass 1
  110. Sat May 22 13:39:21 2021 error -15 reading relation 6477837
  111. Sat May 22 13:39:34 2021 error -5 reading relation 8053285
  112. Sat May 22 13:41:49 2021 error -9 reading relation 22886892
  113. Sat May 22 13:43:25 2021 error -9 reading relation 33214239
  114. Sat May 22 13:43:30 2021 error -9 reading relation 33705135
  115. Sat May 22 13:45:40 2021 error -9 reading relation 45773967
  116. Sat May 22 13:45:49 2021 error -9 reading relation 46572760
  117. Sat May 22 13:46:26 2021 error -15 reading relation 50192882
  118. Sat May 22 13:47:34 2021 error -1 reading relation 57067697
  119. Sat May 22 13:47:44 2021 error -9 reading relation 58058229
  120. Sat May 22 13:47:45 2021 error -9 reading relation 58216089
  121. Sat May 22 13:47:46 2021 error -9 reading relation 58347331
  122. Sat May 22 13:47:57 2021 error -9 reading relation 59435526
  123. Sat May 22 13:47:59 2021 error -9 reading relation 59657641
  124. Sat May 22 13:48:03 2021 error -9 reading relation 60129519
  125. Sat May 22 13:48:04 2021 error -15 reading relation 60191325
  126. Sat May 22 13:48:09 2021 error -1 reading relation 60728387
  127. Sat May 22 13:48:15 2021 error -9 reading relation 61228775
  128. Sat May 22 13:48:22 2021 error -15 reading relation 61895339
  129. Sat May 22 13:48:36 2021 skipped 14 relations with composite factors
  130. Sat May 22 13:48:36 2021 found 13012453 hash collisions in 63412320 relations
  131. Sat May 22 13:48:44 2021 added 2438528 free relations
  132. Sat May 22 13:48:44 2021 commencing duplicate removal, pass 2
  133. Sat May 22 13:49:24 2021 found 12739913 duplicates and 53110935 unique relations
  134. Sat May 22 13:49:24 2021 memory use: 330.4 MB
  135. Sat May 22 13:49:24 2021 reading ideals above 54591488
  136. Sat May 22 13:49:24 2021 commencing singleton removal, initial pass
  137. Sat May 22 13:56:20 2021 memory use: 753.0 MB
  138. Sat May 22 13:56:20 2021 reading all ideals from disk
  139. Sat May 22 13:56:21 2021 memory use: 856.7 MB
  140. Sat May 22 13:56:23 2021 commencing in-memory singleton removal
  141. Sat May 22 13:56:25 2021 begin with 53110935 relations and 39091823 unique ideals
  142. Sat May 22 13:56:41 2021 reduce to 37309305 relations and 21950596 ideals in 10 passes
  143. Sat May 22 13:56:41 2021 max relations containing the same ideal: 33
  144. Sat May 22 13:56:44 2021 reading ideals above 720000
  145. Sat May 22 13:56:44 2021 commencing singleton removal, initial pass
  146. Sat May 22 14:02:40 2021 memory use: 753.0 MB
  147. Sat May 22 14:02:40 2021 reading all ideals from disk
  148. Sat May 22 14:02:42 2021 memory use: 1336.0 MB
  149. Sat May 22 14:02:47 2021 keeping 28268209 ideals with weight <= 200, target excess is 200250
  150. Sat May 22 14:02:50 2021 commencing in-memory singleton removal
  151. Sat May 22 14:02:55 2021 begin with 37309310 relations and 28268209 unique ideals
  152. Sat May 22 14:03:13 2021 reduce to 37307115 relations and 28265994 ideals in 5 passes
  153. Sat May 22 14:03:13 2021 max relations containing the same ideal: 200
  154. Sat May 22 14:03:31 2021 removing 3878971 relations and 2878971 ideals in 1000000 cliques
  155. Sat May 22 14:03:33 2021 commencing in-memory singleton removal
  156. Sat May 22 14:03:37 2021 begin with 33428144 relations and 28265994 unique ideals
  157. Sat May 22 14:03:59 2021 reduce to 33024919 relations and 24970331 ideals in 7 passes
  158. Sat May 22 14:03:59 2021 max relations containing the same ideal: 193
  159. Sat May 22 14:04:16 2021 removing 3155783 relations and 2155783 ideals in 1000000 cliques
  160. Sat May 22 14:04:17 2021 commencing in-memory singleton removal
  161. Sat May 22 14:04:21 2021 begin with 29869136 relations and 24970331 unique ideals
  162. Sat May 22 14:04:37 2021 reduce to 29638959 relations and 22577060 ideals in 6 passes
  163. Sat May 22 14:04:37 2021 max relations containing the same ideal: 182
  164. Sat May 22 14:04:53 2021 removing 2898018 relations and 1898018 ideals in 1000000 cliques
  165. Sat May 22 14:04:54 2021 commencing in-memory singleton removal
  166. Sat May 22 14:04:57 2021 begin with 26740941 relations and 22577060 unique ideals
  167. Sat May 22 14:05:18 2021 reduce to 26541234 relations and 20472787 ideals in 8 passes
  168. Sat May 22 14:05:18 2021 max relations containing the same ideal: 169
  169. Sat May 22 14:05:32 2021 removing 2786779 relations and 1786779 ideals in 1000000 cliques
  170. Sat May 22 14:05:33 2021 commencing in-memory singleton removal
  171. Sat May 22 14:05:36 2021 begin with 23754455 relations and 20472787 unique ideals
  172. Sat May 22 14:05:52 2021 reduce to 23565833 relations and 18490936 ideals in 7 passes
  173. Sat May 22 14:05:52 2021 max relations containing the same ideal: 158
  174. Sat May 22 14:06:05 2021 removing 2717895 relations and 1717895 ideals in 1000000 cliques
  175. Sat May 22 14:06:06 2021 commencing in-memory singleton removal
  176. Sat May 22 14:06:09 2021 begin with 20847938 relations and 18490936 unique ideals
  177. Sat May 22 14:06:21 2021 reduce to 20659104 relations and 16577449 ideals in 6 passes
  178. Sat May 22 14:06:21 2021 max relations containing the same ideal: 145
  179. Sat May 22 14:06:33 2021 removing 2671168 relations and 1671168 ideals in 1000000 cliques
  180. Sat May 22 14:06:34 2021 commencing in-memory singleton removal
  181. Sat May 22 14:06:36 2021 begin with 17987936 relations and 16577449 unique ideals
  182. Sat May 22 14:06:47 2021 reduce to 17792366 relations and 14702594 ideals in 6 passes
  183. Sat May 22 14:06:47 2021 max relations containing the same ideal: 131
  184. Sat May 22 14:06:56 2021 removing 2633489 relations and 1633489 ideals in 1000000 cliques
  185. Sat May 22 14:06:57 2021 commencing in-memory singleton removal
  186. Sat May 22 14:06:59 2021 begin with 15158877 relations and 14702594 unique ideals
  187. Sat May 22 14:07:08 2021 reduce to 14947462 relations and 12847899 ideals in 6 passes
  188. Sat May 22 14:07:08 2021 max relations containing the same ideal: 117
  189. Sat May 22 14:07:16 2021 removing 2605103 relations and 1605103 ideals in 1000000 cliques
  190. Sat May 22 14:07:17 2021 commencing in-memory singleton removal
  191. Sat May 22 14:07:18 2021 begin with 12342359 relations and 12847899 unique ideals
  192. Sat May 22 14:07:26 2021 reduce to 12098734 relations and 10985718 ideals in 7 passes
  193. Sat May 22 14:07:26 2021 max relations containing the same ideal: 103
  194. Sat May 22 14:07:33 2021 removing 2322363 relations and 1441637 ideals in 880726 cliques
  195. Sat May 22 14:07:34 2021 commencing in-memory singleton removal
  196. Sat May 22 14:07:35 2021 begin with 9776371 relations and 10985718 unique ideals
  197. Sat May 22 14:07:40 2021 reduce to 9513110 relations and 9265055 ideals in 6 passes
  198. Sat May 22 14:07:40 2021 max relations containing the same ideal: 83
  199. Sat May 22 14:07:45 2021 removing 83290 relations and 67525 ideals in 15765 cliques
  200. Sat May 22 14:07:46 2021 commencing in-memory singleton removal
  201. Sat May 22 14:07:47 2021 begin with 9429820 relations and 9265055 unique ideals
  202. Sat May 22 14:07:51 2021 reduce to 9429080 relations and 9196790 ideals in 5 passes
  203. Sat May 22 14:07:51 2021 max relations containing the same ideal: 82
  204. Sat May 22 14:07:53 2021 relations with 0 large ideals: 14655
  205. Sat May 22 14:07:53 2021 relations with 1 large ideals: 3662
  206. Sat May 22 14:07:53 2021 relations with 2 large ideals: 23504
  207. Sat May 22 14:07:53 2021 relations with 3 large ideals: 170048
  208. Sat May 22 14:07:53 2021 relations with 4 large ideals: 679424
  209. Sat May 22 14:07:53 2021 relations with 5 large ideals: 1611492
  210. Sat May 22 14:07:53 2021 relations with 6 large ideals: 2387324
  211. Sat May 22 14:07:53 2021 relations with 7+ large ideals: 4538971
  212. Sat May 22 14:07:53 2021 commencing 2-way merge
  213. Sat May 22 14:08:00 2021 reduce to 6774269 relation sets and 6541979 unique ideals
  214. Sat May 22 14:08:00 2021 commencing full merge
  215. Sat May 22 14:10:52 2021 memory use: 889.1 MB
  216. Sat May 22 14:10:53 2021 found 3177234 cycles, need 3156179
  217. Sat May 22 14:10:54 2021 weight of 3156179 cycles is about 316274700 (100.21/cycle)
  218. Sat May 22 14:10:54 2021 distribution of cycle lengths:
  219. Sat May 22 14:10:54 2021 1 relations: 120775
  220. Sat May 22 14:10:54 2021 2 relations: 192368
  221. Sat May 22 14:10:54 2021 3 relations: 251470
  222. Sat May 22 14:10:54 2021 4 relations: 276298
  223. Sat May 22 14:10:54 2021 5 relations: 290276
  224. Sat May 22 14:10:54 2021 6 relations: 285167
  225. Sat May 22 14:10:54 2021 7 relations: 272208
  226. Sat May 22 14:10:54 2021 8 relations: 248248
  227. Sat May 22 14:10:54 2021 9 relations: 219712
  228. Sat May 22 14:10:54 2021 10+ relations: 999657
  229. Sat May 22 14:10:54 2021 heaviest cycle: 28 relations
  230. Sat May 22 14:10:55 2021 commencing cycle optimization
  231. Sat May 22 14:11:01 2021 start with 24958065 relations
  232. Sat May 22 14:12:07 2021 pruned 1227354 relations
  233. Sat May 22 14:12:07 2021 memory use: 653.8 MB
  234. Sat May 22 14:12:07 2021 distribution of cycle lengths:
  235. Sat May 22 14:12:07 2021 1 relations: 120775
  236. Sat May 22 14:12:07 2021 2 relations: 197254
  237. Sat May 22 14:12:07 2021 3 relations: 263172
  238. Sat May 22 14:12:07 2021 4 relations: 289489
  239. Sat May 22 14:12:07 2021 5 relations: 307034
  240. Sat May 22 14:12:07 2021 6 relations: 301515
  241. Sat May 22 14:12:07 2021 7 relations: 287923
  242. Sat May 22 14:12:07 2021 8 relations: 259945
  243. Sat May 22 14:12:07 2021 9 relations: 228235
  244. Sat May 22 14:12:07 2021 10+ relations: 900837
  245. Sat May 22 14:12:07 2021 heaviest cycle: 28 relations
  246. Sat May 22 14:12:12 2021 RelProcTime: 2031
  247. Sat May 22 14:12:12 2021
  248. Sat May 22 14:12:12 2021 commencing linear algebra
  249. Sat May 22 14:12:12 2021 read 3156179 cycles
  250. Sat May 22 14:12:19 2021 cycles contain 9327029 unique relations
  251. Sat May 22 14:13:28 2021 read 9327029 relations
  252. Sat May 22 14:13:46 2021 using 20 quadratic characters above 4294917295
  253. Sat May 22 14:14:36 2021 building initial matrix
  254. Sat May 22 14:16:49 2021 memory use: 1174.5 MB
  255. Sat May 22 14:16:52 2021 read 3156179 cycles
  256. Sat May 22 14:16:52 2021 matrix is 3156002 x 3156179 (1259.8 MB) with weight 360700434 (114.28/col)
  257. Sat May 22 14:16:52 2021 sparse part has weight 295518793 (93.63/col)
  258. Sat May 22 14:17:28 2021 filtering completed in 2 passes
  259. Sat May 22 14:17:28 2021 matrix is 3155892 x 3156069 (1259.7 MB) with weight 360696112 (114.29/col)
  260. Sat May 22 14:17:28 2021 sparse part has weight 295516792 (93.63/col)
  261. Sat May 22 14:17:38 2021 matrix starts at (0, 0)
  262. Sat May 22 14:17:38 2021 matrix is 3155892 x 3156069 (1259.7 MB) with weight 360696112 (114.29/col)
  263. Sat May 22 14:17:38 2021 sparse part has weight 295516792 (93.63/col)
  264. Sat May 22 14:17:38 2021 saving the first 48 matrix rows for later
  265. Sat May 22 14:17:39 2021 matrix includes 64 packed rows
  266. Sat May 22 14:17:40 2021 matrix is 3155844 x 3156069 (1201.7 MB) with weight 304775277 (96.57/col)
  267. Sat May 22 14:17:40 2021 sparse part has weight 283453239 (89.81/col)
  268. Sat May 22 14:17:40 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  269. Sat May 22 14:17:55 2021 commencing Lanczos iteration (6 threads)
  270. Sat May 22 14:17:55 2021 memory use: 1000.1 MB
  271. Sat May 22 14:18:07 2021 linear algebra at 0.0%, ETA 6h20m
  272. Sat May 22 14:18:11 2021 checkpointing every 490000 dimensions
  273. Sat May 22 20:47:12 2021 lanczos halted after 49911 iterations (dim = 3155841)
  274. Sat May 22 20:47:17 2021 recovered 37 nontrivial dependencies
  275. Sat May 22 20:47:17 2021 BLanczosTime: 23705
  276. Sat May 22 20:47:17 2021
  277. Sat May 22 20:47:17 2021 commencing square root phase
  278. Sat May 22 20:47:17 2021 handling dependencies 1 to 64
  279. Sat May 22 20:47:17 2021 reading relations for dependency 1
  280. Sat May 22 20:47:18 2021 read 1577538 cycles
  281. Sat May 22 20:47:21 2021 cycles contain 4663518 unique relations
  282. Sat May 22 20:48:01 2021 read 4663518 relations
  283. Sat May 22 20:48:26 2021 multiplying 4663518 relations
  284. Sat May 22 20:51:01 2021 multiply complete, coefficients have about 111.91 million bits
  285. Sat May 22 20:51:02 2021 initial square root is modulo 107767651
  286. Sat May 22 20:53:50 2021 sqrtTime: 393
  287. Sat May 22 20:53:50 2021 p85 factor: 3409575893253912524635682174516651564138258850111394793193161673694663599562990587431
  288. Sat May 22 20:53:50 2021 p96 factor: 663214323305973943211842400136876607237065311218851734774123576155158122100768458305305159371947
  289. Sat May 22 20:53:50 2021 elapsed time 07:15:31
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