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10m9_301

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Feb 26th, 2021
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  1. Wed Feb 24 07:10:30 2021
  2. Wed Feb 24 07:10:30 2021
  3. Wed Feb 24 07:10:30 2021 Msieve v. 1.53 (SVN 988M)
  4. Wed Feb 24 07:10:30 2021 random seeds: cbc8dd5a e8512cd6
  5. Wed Feb 24 07:10:30 2021 factoring 7315028990431812000209736078708968301538151917172863664618862138009628689241425344788151485609450718533276664067484786861406313758000357826148099726029367892153762722738157921123939594585615753995677282419844771747418442524144386471684208711540319 (247 digits)
  6. Wed Feb 24 07:10:31 2021 searching for 15-digit factors
  7. Wed Feb 24 07:10:32 2021 commencing number field sieve (247-digit input)
  8. Wed Feb 24 07:10:32 2021 R0: 10000000000000000000000000000000000000000000
  9. Wed Feb 24 07:10:32 2021 R1: -107752636643058178097424660240453423951129
  10. Wed Feb 24 07:10:32 2021 A0: 1
  11. Wed Feb 24 07:10:32 2021 A1: 1
  12. Wed Feb 24 07:10:32 2021 A2: 1
  13. Wed Feb 24 07:10:32 2021 A3: 1
  14. Wed Feb 24 07:10:32 2021 A4: 1
  15. Wed Feb 24 07:10:32 2021 A5: 1
  16. Wed Feb 24 07:10:32 2021 A6: 1
  17. Wed Feb 24 07:10:32 2021 skew 1.00, size 1.007e-12, alpha 2.428, combined = 1.162e-13 rroots = 0
  18. Wed Feb 24 07:10:32 2021
  19. Wed Feb 24 07:10:32 2021 commencing relation filtering
  20. Wed Feb 24 07:10:32 2021 setting target matrix density to 130.0
  21. Wed Feb 24 07:10:32 2021 estimated available RAM is 32768.0 MB
  22. Wed Feb 24 07:10:32 2021 commencing duplicate removal, pass 1
  23. Wed Feb 24 07:23:27 2021 error -5 reading relation 132183458
  24. Wed Feb 24 07:23:27 2021 error -1 reading relation 132308240
  25. Wed Feb 24 07:23:28 2021 error -1 reading relation 132403169
  26. Wed Feb 24 07:24:05 2021 error -15 reading relation 138601601
  27. Wed Feb 24 07:24:38 2021 error -15 reading relation 144313279
  28. Wed Feb 24 07:24:38 2021 error -1 reading relation 144314379
  29. Wed Feb 24 07:24:39 2021 error -1 reading relation 144355927
  30. Wed Feb 24 07:24:39 2021 error -1 reading relation 144357045
  31. Wed Feb 24 07:24:39 2021 error -1 reading relation 144474807
  32. Wed Feb 24 07:25:47 2021 error -15 reading relation 156021236
  33. Wed Feb 24 07:27:35 2021 error -5 reading relation 174165794
  34. Wed Feb 24 07:29:03 2021 error -6 reading relation 188974730
  35. Wed Feb 24 07:29:24 2021 error -15 reading relation 192573866
  36. Wed Feb 24 07:29:51 2021 error -15 reading relation 197084901
  37. Wed Feb 24 07:30:14 2021 skipped 635 relations with b > 2^32
  38. Wed Feb 24 07:30:14 2021 skipped 8 relations with composite factors
  39. Wed Feb 24 07:30:14 2021 found 8857386 hash collisions in 201011263 relations
  40. Wed Feb 24 07:30:19 2021 added 2438534 free relations
  41. Wed Feb 24 07:30:19 2021 commencing duplicate removal, pass 2
  42. Wed Feb 24 07:31:04 2021 found 0 duplicates and 203449797 unique relations
  43. Wed Feb 24 07:31:04 2021 memory use: 522.4 MB
  44. Wed Feb 24 07:31:04 2021 reading ideals above 164691968
  45. Wed Feb 24 07:31:04 2021 commencing singleton removal, initial pass
  46. Wed Feb 24 07:45:26 2021 memory use: 3012.0 MB
  47. Wed Feb 24 07:45:26 2021 reading all ideals from disk
  48. Wed Feb 24 07:45:28 2021 memory use: 3563.1 MB
  49. Wed Feb 24 07:45:35 2021 commencing in-memory singleton removal
  50. Wed Feb 24 07:45:41 2021 begin with 203449797 relations and 163148273 unique ideals
  51. Wed Feb 24 07:46:59 2021 reduce to 141936265 relations and 96135109 ideals in 13 passes
  52. Wed Feb 24 07:46:59 2021 max relations containing the same ideal: 44
  53. Wed Feb 24 07:47:09 2021 reading ideals above 720000
  54. Wed Feb 24 07:47:09 2021 commencing singleton removal, initial pass
  55. Wed Feb 24 08:00:56 2021 memory use: 3012.0 MB
  56. Wed Feb 24 08:00:56 2021 reading all ideals from disk
  57. Wed Feb 24 08:00:59 2021 memory use: 5824.6 MB
  58. Wed Feb 24 08:01:11 2021 keeping 113833000 ideals with weight <= 200, target excess is 747335
  59. Wed Feb 24 08:01:24 2021 commencing in-memory singleton removal
  60. Wed Feb 24 08:01:34 2021 begin with 141936265 relations and 113833000 unique ideals
  61. Wed Feb 24 08:02:25 2021 reduce to 141935593 relations and 113832328 ideals in 5 passes
  62. Wed Feb 24 08:02:25 2021 max relations containing the same ideal: 200
  63. Wed Feb 24 08:03:15 2021 removing 10513406 relations and 8513406 ideals in 2000000 cliques
  64. Wed Feb 24 08:03:19 2021 commencing in-memory singleton removal
  65. Wed Feb 24 08:03:28 2021 begin with 131422187 relations and 113832328 unique ideals
  66. Wed Feb 24 08:04:43 2021 reduce to 130807826 relations and 104693094 ideals in 8 passes
  67. Wed Feb 24 08:04:43 2021 max relations containing the same ideal: 197
  68. Wed Feb 24 08:05:31 2021 removing 8069699 relations and 6069699 ideals in 2000000 cliques
  69. Wed Feb 24 08:05:34 2021 commencing in-memory singleton removal
  70. Wed Feb 24 08:05:42 2021 begin with 122738127 relations and 104693094 unique ideals
  71. Wed Feb 24 08:06:43 2021 reduce to 122325908 relations and 98204742 ideals in 7 passes
  72. Wed Feb 24 08:06:43 2021 max relations containing the same ideal: 191
  73. Wed Feb 24 08:07:28 2021 removing 7341086 relations and 5341086 ideals in 2000000 cliques
  74. Wed Feb 24 08:07:30 2021 commencing in-memory singleton removal
  75. Wed Feb 24 08:07:38 2021 begin with 114984822 relations and 98204742 unique ideals
  76. Wed Feb 24 08:08:35 2021 reduce to 114624445 relations and 92497586 ideals in 7 passes
  77. Wed Feb 24 08:08:35 2021 max relations containing the same ideal: 186
  78. Wed Feb 24 08:09:17 2021 removing 6975938 relations and 4975938 ideals in 2000000 cliques
  79. Wed Feb 24 08:09:19 2021 commencing in-memory singleton removal
  80. Wed Feb 24 08:09:26 2021 begin with 107648507 relations and 92497586 unique ideals
  81. Wed Feb 24 08:10:20 2021 reduce to 107308843 relations and 87176477 ideals in 7 passes
  82. Wed Feb 24 08:10:20 2021 max relations containing the same ideal: 178
  83. Wed Feb 24 08:10:59 2021 removing 6755477 relations and 4755477 ideals in 2000000 cliques
  84. Wed Feb 24 08:11:01 2021 commencing in-memory singleton removal
  85. Wed Feb 24 08:11:08 2021 begin with 100553366 relations and 87176477 unique ideals
  86. Wed Feb 24 08:11:58 2021 reduce to 100219978 relations and 82081948 ideals in 7 passes
  87. Wed Feb 24 08:11:58 2021 max relations containing the same ideal: 170
  88. Wed Feb 24 08:12:34 2021 removing 6605671 relations and 4605671 ideals in 2000000 cliques
  89. Wed Feb 24 08:12:37 2021 commencing in-memory singleton removal
  90. Wed Feb 24 08:12:43 2021 begin with 93614307 relations and 82081948 unique ideals
  91. Wed Feb 24 08:13:22 2021 reduce to 93279142 relations and 77134994 ideals in 6 passes
  92. Wed Feb 24 08:13:22 2021 max relations containing the same ideal: 162
  93. Wed Feb 24 08:13:56 2021 removing 6513971 relations and 4513971 ideals in 2000000 cliques
  94. Wed Feb 24 08:13:59 2021 commencing in-memory singleton removal
  95. Wed Feb 24 08:14:05 2021 begin with 86765171 relations and 77134994 unique ideals
  96. Wed Feb 24 08:14:41 2021 reduce to 86420345 relations and 72269676 ideals in 6 passes
  97. Wed Feb 24 08:14:41 2021 max relations containing the same ideal: 154
  98. Wed Feb 24 08:15:13 2021 removing 6453490 relations and 4453490 ideals in 2000000 cliques
  99. Wed Feb 24 08:15:15 2021 commencing in-memory singleton removal
  100. Wed Feb 24 08:15:20 2021 begin with 79966855 relations and 72269676 unique ideals
  101. Wed Feb 24 08:15:59 2021 reduce to 79608138 relations and 67450067 ideals in 7 passes
  102. Wed Feb 24 08:15:59 2021 max relations containing the same ideal: 147
  103. Wed Feb 24 08:16:29 2021 removing 6421222 relations and 4421222 ideals in 2000000 cliques
  104. Wed Feb 24 08:16:31 2021 commencing in-memory singleton removal
  105. Wed Feb 24 08:16:36 2021 begin with 73186916 relations and 67450067 unique ideals
  106. Wed Feb 24 08:17:16 2021 reduce to 72806962 relations and 62640726 ideals in 8 passes
  107. Wed Feb 24 08:17:16 2021 max relations containing the same ideal: 139
  108. Wed Feb 24 08:17:43 2021 removing 6412285 relations and 4412285 ideals in 2000000 cliques
  109. Wed Feb 24 08:17:45 2021 commencing in-memory singleton removal
  110. Wed Feb 24 08:17:49 2021 begin with 66394677 relations and 62640726 unique ideals
  111. Wed Feb 24 08:18:16 2021 reduce to 65983912 relations and 57807830 ideals in 6 passes
  112. Wed Feb 24 08:18:16 2021 max relations containing the same ideal: 129
  113. Wed Feb 24 08:18:41 2021 removing 6429785 relations and 4429785 ideals in 2000000 cliques
  114. Wed Feb 24 08:18:43 2021 commencing in-memory singleton removal
  115. Wed Feb 24 08:18:47 2021 begin with 59554127 relations and 57807830 unique ideals
  116. Wed Feb 24 08:19:15 2021 reduce to 59105962 relations and 52918157 ideals in 7 passes
  117. Wed Feb 24 08:19:15 2021 max relations containing the same ideal: 119
  118. Wed Feb 24 08:19:38 2021 removing 6461965 relations and 4461965 ideals in 2000000 cliques
  119. Wed Feb 24 08:19:39 2021 commencing in-memory singleton removal
  120. Wed Feb 24 08:19:43 2021 begin with 52643997 relations and 52918157 unique ideals
  121. Wed Feb 24 08:20:08 2021 reduce to 52137505 relations and 47935007 ideals in 7 passes
  122. Wed Feb 24 08:20:08 2021 max relations containing the same ideal: 111
  123. Wed Feb 24 08:20:27 2021 removing 6513639 relations and 4513639 ideals in 2000000 cliques
  124. Wed Feb 24 08:20:29 2021 commencing in-memory singleton removal
  125. Wed Feb 24 08:20:32 2021 begin with 45623866 relations and 47935007 unique ideals
  126. Wed Feb 24 08:20:53 2021 reduce to 45042746 relations and 42821345 ideals in 7 passes
  127. Wed Feb 24 08:20:53 2021 max relations containing the same ideal: 97
  128. Wed Feb 24 08:21:10 2021 removing 4796727 relations and 3442235 ideals in 1354492 cliques
  129. Wed Feb 24 08:21:12 2021 commencing in-memory singleton removal
  130. Wed Feb 24 08:21:15 2021 begin with 40246019 relations and 42821345 unique ideals
  131. Wed Feb 24 08:21:33 2021 reduce to 39874590 relations and 38997800 ideals in 7 passes
  132. Wed Feb 24 08:21:33 2021 max relations containing the same ideal: 89
  133. Wed Feb 24 08:21:48 2021 removing 71178 relations and 61297 ideals in 9881 cliques
  134. Wed Feb 24 08:21:49 2021 commencing in-memory singleton removal
  135. Wed Feb 24 08:21:52 2021 begin with 39803412 relations and 38997800 unique ideals
  136. Wed Feb 24 08:22:02 2021 reduce to 39803321 relations and 38936412 ideals in 4 passes
  137. Wed Feb 24 08:22:02 2021 max relations containing the same ideal: 89
  138. Wed Feb 24 08:22:08 2021 relations with 0 large ideals: 56596
  139. Wed Feb 24 08:22:08 2021 relations with 1 large ideals: 10147
  140. Wed Feb 24 08:22:08 2021 relations with 2 large ideals: 93464
  141. Wed Feb 24 08:22:08 2021 relations with 3 large ideals: 671065
  142. Wed Feb 24 08:22:08 2021 relations with 4 large ideals: 2681425
  143. Wed Feb 24 08:22:08 2021 relations with 5 large ideals: 6466081
  144. Wed Feb 24 08:22:08 2021 relations with 6 large ideals: 9846146
  145. Wed Feb 24 08:22:08 2021 relations with 7+ large ideals: 19978397
  146. Wed Feb 24 08:22:08 2021 commencing 2-way merge
  147. Wed Feb 24 08:22:30 2021 reduce to 26613190 relation sets and 25746281 unique ideals
  148. Wed Feb 24 08:22:30 2021 commencing full merge
  149. Wed Feb 24 08:43:59 2021 memory use: 1192.4 MB
  150. Wed Feb 24 08:43:59 2021 found 90460 cycles, need 5637535
  151. Wed Feb 24 08:43:59 2021 too few cycles, matrix probably cannot build
  152. Wed Feb 24 08:52:26 2021
  153. Wed Feb 24 08:52:26 2021
  154. Wed Feb 24 08:52:26 2021 Msieve v. 1.53 (SVN 988M)
  155. Wed Feb 24 08:52:26 2021 random seeds: 7a8455ab e49c5d8c
  156. Wed Feb 24 08:52:26 2021 factoring 7315028990431812000209736078708968301538151917172863664618862138009628689241425344788151485609450718533276664067484786861406313758000357826148099726029367892153762722738157921123939594585615753995677282419844771747418442524144386471684208711540319 (247 digits)
  157. Wed Feb 24 08:52:27 2021 searching for 15-digit factors
  158. Wed Feb 24 08:52:28 2021 commencing number field sieve (247-digit input)
  159. Wed Feb 24 08:52:28 2021 R0: 10000000000000000000000000000000000000000000
  160. Wed Feb 24 08:52:28 2021 R1: -107752636643058178097424660240453423951129
  161. Wed Feb 24 08:52:28 2021 A0: 1
  162. Wed Feb 24 08:52:28 2021 A1: 1
  163. Wed Feb 24 08:52:28 2021 A2: 1
  164. Wed Feb 24 08:52:28 2021 A3: 1
  165. Wed Feb 24 08:52:28 2021 A4: 1
  166. Wed Feb 24 08:52:28 2021 A5: 1
  167. Wed Feb 24 08:52:28 2021 A6: 1
  168. Wed Feb 24 08:52:28 2021 skew 1.00, size 1.007e-12, alpha 2.428, combined = 1.162e-13 rroots = 0
  169. Wed Feb 24 08:52:28 2021
  170. Wed Feb 24 08:52:28 2021 commencing relation filtering
  171. Wed Feb 24 08:52:28 2021 setting target matrix density to 124.0
  172. Wed Feb 24 08:52:28 2021 estimated available RAM is 32768.0 MB
  173. Wed Feb 24 08:52:28 2021 commencing duplicate removal, pass 1
  174. Wed Feb 24 09:05:22 2021 error -5 reading relation 132183458
  175. Wed Feb 24 09:05:22 2021 error -1 reading relation 132308240
  176. Wed Feb 24 09:05:23 2021 error -1 reading relation 132403169
  177. Wed Feb 24 09:05:59 2021 error -15 reading relation 138601601
  178. Wed Feb 24 09:06:33 2021 error -15 reading relation 144313279
  179. Wed Feb 24 09:06:33 2021 error -1 reading relation 144314379
  180. Wed Feb 24 09:06:33 2021 error -1 reading relation 144355927
  181. Wed Feb 24 09:06:33 2021 error -1 reading relation 144357045
  182. Wed Feb 24 09:06:34 2021 error -1 reading relation 144474807
  183. Wed Feb 24 09:07:42 2021 error -15 reading relation 156021236
  184. Wed Feb 24 09:09:29 2021 error -5 reading relation 174165794
  185. Wed Feb 24 09:10:57 2021 error -6 reading relation 188974730
  186. Wed Feb 24 09:11:18 2021 error -15 reading relation 192573866
  187. Wed Feb 24 09:11:44 2021 error -15 reading relation 197084901
  188. Wed Feb 24 09:12:36 2021 skipped 635 relations with b > 2^32
  189. Wed Feb 24 09:12:36 2021 skipped 8 relations with composite factors
  190. Wed Feb 24 09:12:36 2021 found 9066161 hash collisions in 203449797 relations
  191. Wed Feb 24 09:12:36 2021 commencing duplicate removal, pass 2
  192. Wed Feb 24 09:13:22 2021 found 0 duplicates and 203449797 unique relations
  193. Wed Feb 24 09:13:22 2021 memory use: 522.4 MB
  194. Wed Feb 24 09:13:22 2021 reading ideals above 164691968
  195. Wed Feb 24 09:13:22 2021 commencing singleton removal, initial pass
  196. Wed Feb 24 09:27:48 2021 memory use: 3012.0 MB
  197. Wed Feb 24 09:27:48 2021 reading all ideals from disk
  198. Wed Feb 24 09:27:50 2021 memory use: 3563.1 MB
  199. Wed Feb 24 09:27:57 2021 commencing in-memory singleton removal
  200. Wed Feb 24 09:28:04 2021 begin with 203449797 relations and 163148273 unique ideals
  201. Wed Feb 24 09:29:25 2021 reduce to 141936265 relations and 96135109 ideals in 13 passes
  202. Wed Feb 24 09:29:25 2021 max relations containing the same ideal: 44
  203. Wed Feb 24 09:29:36 2021 reading ideals above 720000
  204. Wed Feb 24 09:29:36 2021 commencing singleton removal, initial pass
  205. Wed Feb 24 09:43:29 2021 memory use: 3012.0 MB
  206. Wed Feb 24 09:43:29 2021 reading all ideals from disk
  207. Wed Feb 24 09:43:33 2021 memory use: 5824.6 MB
  208. Wed Feb 24 09:43:45 2021 keeping 113833000 ideals with weight <= 200, target excess is 747335
  209. Wed Feb 24 09:43:58 2021 commencing in-memory singleton removal
  210. Wed Feb 24 09:44:08 2021 begin with 141936265 relations and 113833000 unique ideals
  211. Wed Feb 24 09:45:02 2021 reduce to 141935593 relations and 113832328 ideals in 5 passes
  212. Wed Feb 24 09:45:02 2021 max relations containing the same ideal: 200
  213. Wed Feb 24 09:45:55 2021 removing 10513406 relations and 8513406 ideals in 2000000 cliques
  214. Wed Feb 24 09:45:58 2021 commencing in-memory singleton removal
  215. Wed Feb 24 09:46:07 2021 begin with 131422187 relations and 113832328 unique ideals
  216. Wed Feb 24 09:47:28 2021 reduce to 130807826 relations and 104693094 ideals in 8 passes
  217. Wed Feb 24 09:47:28 2021 max relations containing the same ideal: 197
  218. Wed Feb 24 09:48:16 2021 removing 8069699 relations and 6069699 ideals in 2000000 cliques
  219. Wed Feb 24 09:48:19 2021 commencing in-memory singleton removal
  220. Wed Feb 24 09:48:27 2021 begin with 122738127 relations and 104693094 unique ideals
  221. Wed Feb 24 09:49:32 2021 reduce to 122325908 relations and 98204742 ideals in 7 passes
  222. Wed Feb 24 09:49:32 2021 max relations containing the same ideal: 191
  223. Wed Feb 24 09:50:18 2021 removing 7341086 relations and 5341086 ideals in 2000000 cliques
  224. Wed Feb 24 09:50:20 2021 commencing in-memory singleton removal
  225. Wed Feb 24 09:50:28 2021 begin with 114984822 relations and 98204742 unique ideals
  226. Wed Feb 24 09:51:29 2021 reduce to 114624445 relations and 92497586 ideals in 7 passes
  227. Wed Feb 24 09:51:29 2021 max relations containing the same ideal: 186
  228. Wed Feb 24 09:52:12 2021 removing 6975938 relations and 4975938 ideals in 2000000 cliques
  229. Wed Feb 24 09:52:15 2021 commencing in-memory singleton removal
  230. Wed Feb 24 09:52:22 2021 begin with 107648507 relations and 92497586 unique ideals
  231. Wed Feb 24 09:53:19 2021 reduce to 107308843 relations and 87176477 ideals in 7 passes
  232. Wed Feb 24 09:53:19 2021 max relations containing the same ideal: 178
  233. Wed Feb 24 09:53:59 2021 removing 6755477 relations and 4755477 ideals in 2000000 cliques
  234. Wed Feb 24 09:54:02 2021 commencing in-memory singleton removal
  235. Wed Feb 24 09:54:09 2021 begin with 100553366 relations and 87176477 unique ideals
  236. Wed Feb 24 09:55:02 2021 reduce to 100219978 relations and 82081948 ideals in 7 passes
  237. Wed Feb 24 09:55:02 2021 max relations containing the same ideal: 170
  238. Wed Feb 24 09:55:40 2021 removing 6605671 relations and 4605671 ideals in 2000000 cliques
  239. Wed Feb 24 09:55:42 2021 commencing in-memory singleton removal
  240. Wed Feb 24 09:55:48 2021 begin with 93614307 relations and 82081948 unique ideals
  241. Wed Feb 24 09:56:30 2021 reduce to 93279142 relations and 77134994 ideals in 6 passes
  242. Wed Feb 24 09:56:30 2021 max relations containing the same ideal: 162
  243. Wed Feb 24 09:57:05 2021 removing 6513971 relations and 4513971 ideals in 2000000 cliques
  244. Wed Feb 24 09:57:08 2021 commencing in-memory singleton removal
  245. Wed Feb 24 09:57:14 2021 begin with 86765171 relations and 77134994 unique ideals
  246. Wed Feb 24 09:57:52 2021 reduce to 86420345 relations and 72269676 ideals in 6 passes
  247. Wed Feb 24 09:57:52 2021 max relations containing the same ideal: 154
  248. Wed Feb 24 09:58:25 2021 removing 6453490 relations and 4453490 ideals in 2000000 cliques
  249. Wed Feb 24 09:58:27 2021 commencing in-memory singleton removal
  250. Wed Feb 24 09:58:33 2021 begin with 79966855 relations and 72269676 unique ideals
  251. Wed Feb 24 09:59:14 2021 reduce to 79608138 relations and 67450067 ideals in 7 passes
  252. Wed Feb 24 09:59:14 2021 max relations containing the same ideal: 147
  253. Wed Feb 24 09:59:45 2021 removing 6421222 relations and 4421222 ideals in 2000000 cliques
  254. Wed Feb 24 09:59:47 2021 commencing in-memory singleton removal
  255. Wed Feb 24 09:59:52 2021 begin with 73186916 relations and 67450067 unique ideals
  256. Wed Feb 24 10:00:35 2021 reduce to 72806962 relations and 62640726 ideals in 8 passes
  257. Wed Feb 24 10:00:35 2021 max relations containing the same ideal: 139
  258. Wed Feb 24 10:01:03 2021 removing 6412285 relations and 4412285 ideals in 2000000 cliques
  259. Wed Feb 24 10:01:05 2021 commencing in-memory singleton removal
  260. Wed Feb 24 10:01:10 2021 begin with 66394677 relations and 62640726 unique ideals
  261. Wed Feb 24 10:01:39 2021 reduce to 65983912 relations and 57807830 ideals in 6 passes
  262. Wed Feb 24 10:01:39 2021 max relations containing the same ideal: 129
  263. Wed Feb 24 10:02:05 2021 removing 6429785 relations and 4429785 ideals in 2000000 cliques
  264. Wed Feb 24 10:02:07 2021 commencing in-memory singleton removal
  265. Wed Feb 24 10:02:11 2021 begin with 59554127 relations and 57807830 unique ideals
  266. Wed Feb 24 10:02:40 2021 reduce to 59105962 relations and 52918157 ideals in 7 passes
  267. Wed Feb 24 10:02:40 2021 max relations containing the same ideal: 119
  268. Wed Feb 24 10:03:04 2021 removing 6461965 relations and 4461965 ideals in 2000000 cliques
  269. Wed Feb 24 10:03:06 2021 commencing in-memory singleton removal
  270. Wed Feb 24 10:03:09 2021 begin with 52643997 relations and 52918157 unique ideals
  271. Wed Feb 24 10:03:36 2021 reduce to 52137505 relations and 47935007 ideals in 7 passes
  272. Wed Feb 24 10:03:36 2021 max relations containing the same ideal: 111
  273. Wed Feb 24 10:03:56 2021 removing 6513639 relations and 4513639 ideals in 2000000 cliques
  274. Wed Feb 24 10:03:58 2021 commencing in-memory singleton removal
  275. Wed Feb 24 10:04:01 2021 begin with 45623866 relations and 47935007 unique ideals
  276. Wed Feb 24 10:04:24 2021 reduce to 45042746 relations and 42821345 ideals in 7 passes
  277. Wed Feb 24 10:04:24 2021 max relations containing the same ideal: 97
  278. Wed Feb 24 10:04:41 2021 removing 4796727 relations and 3442235 ideals in 1354492 cliques
  279. Wed Feb 24 10:04:43 2021 commencing in-memory singleton removal
  280. Wed Feb 24 10:04:46 2021 begin with 40246019 relations and 42821345 unique ideals
  281. Wed Feb 24 10:05:05 2021 reduce to 39874590 relations and 38997800 ideals in 7 passes
  282. Wed Feb 24 10:05:05 2021 max relations containing the same ideal: 89
  283. Wed Feb 24 10:05:22 2021 removing 71178 relations and 61297 ideals in 9881 cliques
  284. Wed Feb 24 10:05:23 2021 commencing in-memory singleton removal
  285. Wed Feb 24 10:05:25 2021 begin with 39803412 relations and 38997800 unique ideals
  286. Wed Feb 24 10:05:36 2021 reduce to 39803321 relations and 38936412 ideals in 4 passes
  287. Wed Feb 24 10:05:36 2021 max relations containing the same ideal: 89
  288. Wed Feb 24 10:05:42 2021 relations with 0 large ideals: 56596
  289. Wed Feb 24 10:05:42 2021 relations with 1 large ideals: 10147
  290. Wed Feb 24 10:05:42 2021 relations with 2 large ideals: 93464
  291. Wed Feb 24 10:05:42 2021 relations with 3 large ideals: 671065
  292. Wed Feb 24 10:05:42 2021 relations with 4 large ideals: 2681425
  293. Wed Feb 24 10:05:42 2021 relations with 5 large ideals: 6466081
  294. Wed Feb 24 10:05:42 2021 relations with 6 large ideals: 9846146
  295. Wed Feb 24 10:05:42 2021 relations with 7+ large ideals: 19978397
  296. Wed Feb 24 10:05:42 2021 commencing 2-way merge
  297. Wed Feb 24 10:06:04 2021 reduce to 26613190 relation sets and 25746281 unique ideals
  298. Wed Feb 24 10:06:04 2021 commencing full merge
  299. Wed Feb 24 10:27:47 2021 memory use: 1192.4 MB
  300. Wed Feb 24 10:27:47 2021 found 90460 cycles, need 5637535
  301. Wed Feb 24 10:27:47 2021 too few cycles, matrix probably cannot build
  302. Wed Feb 24 10:47:00 2021
  303. Wed Feb 24 10:47:00 2021
  304. Wed Feb 24 10:47:00 2021 Msieve v. 1.53 (SVN 988M)
  305. Wed Feb 24 10:47:00 2021 random seeds: 77dc51df 197cc0e1
  306. Wed Feb 24 10:47:00 2021 factoring 7315028990431812000209736078708968301538151917172863664618862138009628689241425344788151485609450718533276664067484786861406313758000357826148099726029367892153762722738157921123939594585615753995677282419844771747418442524144386471684208711540319 (247 digits)
  307. Wed Feb 24 10:47:01 2021 searching for 15-digit factors
  308. Wed Feb 24 10:47:02 2021 commencing number field sieve (247-digit input)
  309. Wed Feb 24 10:47:02 2021 R0: 10000000000000000000000000000000000000000000
  310. Wed Feb 24 10:47:02 2021 R1: -107752636643058178097424660240453423951129
  311. Wed Feb 24 10:47:02 2021 A0: 1
  312. Wed Feb 24 10:47:02 2021 A1: 1
  313. Wed Feb 24 10:47:02 2021 A2: 1
  314. Wed Feb 24 10:47:02 2021 A3: 1
  315. Wed Feb 24 10:47:02 2021 A4: 1
  316. Wed Feb 24 10:47:02 2021 A5: 1
  317. Wed Feb 24 10:47:02 2021 A6: 1
  318. Wed Feb 24 10:47:02 2021 skew 1.00, size 1.007e-12, alpha 2.428, combined = 1.162e-13 rroots = 0
  319. Wed Feb 24 10:47:02 2021
  320. Wed Feb 24 10:47:02 2021 commencing relation filtering
  321. Wed Feb 24 10:47:02 2021 setting target matrix density to 120.0
  322. Wed Feb 24 10:47:02 2021 estimated available RAM is 32768.0 MB
  323. Wed Feb 24 10:47:02 2021 commencing duplicate removal, pass 1
  324. Wed Feb 24 10:59:57 2021 error -5 reading relation 132183458
  325. Wed Feb 24 10:59:58 2021 error -1 reading relation 132308240
  326. Wed Feb 24 10:59:58 2021 error -1 reading relation 132403169
  327. Wed Feb 24 11:00:35 2021 error -15 reading relation 138601601
  328. Wed Feb 24 11:01:09 2021 error -15 reading relation 144313279
  329. Wed Feb 24 11:01:09 2021 error -1 reading relation 144314379
  330. Wed Feb 24 11:01:09 2021 error -1 reading relation 144355927
  331. Wed Feb 24 11:01:09 2021 error -1 reading relation 144357045
  332. Wed Feb 24 11:01:10 2021 error -1 reading relation 144474807
  333. Wed Feb 24 11:02:18 2021 error -15 reading relation 156021236
  334. Wed Feb 24 11:04:05 2021 error -5 reading relation 174165794
  335. Wed Feb 24 11:05:33 2021 error -6 reading relation 188974730
  336. Wed Feb 24 11:05:54 2021 error -15 reading relation 192573866
  337. Wed Feb 24 11:06:21 2021 error -15 reading relation 197084901
  338. Wed Feb 24 11:06:51 2021 skipped 643 relations with b > 2^32
  339. Wed Feb 24 11:06:51 2021 skipped 8 relations with composite factors
  340. Wed Feb 24 11:06:51 2021 found 8947004 hash collisions in 202056719 relations
  341. Wed Feb 24 11:06:56 2021 added 2438534 free relations
  342. Wed Feb 24 11:06:56 2021 commencing duplicate removal, pass 2
  343. Wed Feb 24 11:07:42 2021 found 0 duplicates and 204495253 unique relations
  344. Wed Feb 24 11:07:42 2021 memory use: 522.4 MB
  345. Wed Feb 24 11:07:42 2021 reading ideals above 164823040
  346. Wed Feb 24 11:07:42 2021 commencing singleton removal, initial pass
  347. Wed Feb 24 11:22:09 2021 memory use: 3012.0 MB
  348. Wed Feb 24 11:22:09 2021 reading all ideals from disk
  349. Wed Feb 24 11:22:12 2021 memory use: 3581.0 MB
  350. Wed Feb 24 11:22:18 2021 commencing in-memory singleton removal
  351. Wed Feb 24 11:22:25 2021 begin with 204495253 relations and 163382874 unique ideals
  352. Wed Feb 24 11:23:41 2021 reduce to 143374166 relations and 96849903 ideals in 12 passes
  353. Wed Feb 24 11:23:41 2021 max relations containing the same ideal: 44
  354. Wed Feb 24 11:23:52 2021 reading ideals above 720000
  355. Wed Feb 24 11:23:53 2021 commencing singleton removal, initial pass
  356. Wed Feb 24 11:37:55 2021 memory use: 3012.0 MB
  357. Wed Feb 24 11:37:56 2021 reading all ideals from disk
  358. Wed Feb 24 11:37:59 2021 memory use: 5884.1 MB
  359. Wed Feb 24 11:38:12 2021 keeping 114553443 ideals with weight <= 200, target excess is 755456
  360. Wed Feb 24 11:38:25 2021 commencing in-memory singleton removal
  361. Wed Feb 24 11:38:35 2021 begin with 143374166 relations and 114553443 unique ideals
  362. Wed Feb 24 11:39:30 2021 reduce to 143373572 relations and 114552849 ideals in 5 passes
  363. Wed Feb 24 11:39:30 2021 max relations containing the same ideal: 200
  364. Wed Feb 24 11:40:23 2021 removing 10448154 relations and 8448154 ideals in 2000000 cliques
  365. Wed Feb 24 11:40:26 2021 commencing in-memory singleton removal
  366. Wed Feb 24 11:40:36 2021 begin with 132925418 relations and 114552849 unique ideals
  367. Wed Feb 24 11:41:58 2021 reduce to 132324027 relations and 105492237 ideals in 8 passes
  368. Wed Feb 24 11:41:58 2021 max relations containing the same ideal: 197
  369. Wed Feb 24 11:42:46 2021 removing 8024047 relations and 6024047 ideals in 2000000 cliques
  370. Wed Feb 24 11:42:49 2021 commencing in-memory singleton removal
  371. Wed Feb 24 11:42:58 2021 begin with 124299980 relations and 105492237 unique ideals
  372. Wed Feb 24 11:44:04 2021 reduce to 123897489 relations and 99059482 ideals in 7 passes
  373. Wed Feb 24 11:44:04 2021 max relations containing the same ideal: 192
  374. Wed Feb 24 11:44:50 2021 removing 7299371 relations and 5299371 ideals in 2000000 cliques
  375. Wed Feb 24 11:44:53 2021 commencing in-memory singleton removal
  376. Wed Feb 24 11:45:01 2021 begin with 116598118 relations and 99059482 unique ideals
  377. Wed Feb 24 11:45:54 2021 reduce to 116244864 relations and 93401404 ideals in 6 passes
  378. Wed Feb 24 11:45:54 2021 max relations containing the same ideal: 186
  379. Wed Feb 24 11:46:37 2021 removing 6937582 relations and 4937582 ideals in 2000000 cliques
  380. Wed Feb 24 11:46:40 2021 commencing in-memory singleton removal
  381. Wed Feb 24 11:46:47 2021 begin with 109307282 relations and 93401404 unique ideals
  382. Wed Feb 24 11:47:37 2021 reduce to 108975748 relations and 88126946 ideals in 6 passes
  383. Wed Feb 24 11:47:37 2021 max relations containing the same ideal: 178
  384. Wed Feb 24 11:48:18 2021 removing 6716214 relations and 4716214 ideals in 2000000 cliques
  385. Wed Feb 24 11:48:21 2021 commencing in-memory singleton removal
  386. Wed Feb 24 11:48:28 2021 begin with 102259534 relations and 88126946 unique ideals
  387. Wed Feb 24 11:49:21 2021 reduce to 101934794 relations and 83080516 ideals in 7 passes
  388. Wed Feb 24 11:49:21 2021 max relations containing the same ideal: 172
  389. Wed Feb 24 11:49:59 2021 removing 6568544 relations and 4568544 ideals in 2000000 cliques
  390. Wed Feb 24 11:50:02 2021 commencing in-memory singleton removal
  391. Wed Feb 24 11:50:08 2021 begin with 95366250 relations and 83080516 unique ideals
  392. Wed Feb 24 11:50:58 2021 reduce to 95040852 relations and 78180775 ideals in 7 passes
  393. Wed Feb 24 11:50:58 2021 max relations containing the same ideal: 165
  394. Wed Feb 24 11:51:34 2021 removing 6475061 relations and 4475061 ideals in 2000000 cliques
  395. Wed Feb 24 11:51:36 2021 commencing in-memory singleton removal
  396. Wed Feb 24 11:51:42 2021 begin with 88565791 relations and 78180775 unique ideals
  397. Wed Feb 24 11:52:28 2021 reduce to 88231867 relations and 73365668 ideals in 7 passes
  398. Wed Feb 24 11:52:28 2021 max relations containing the same ideal: 155
  399. Wed Feb 24 11:53:01 2021 removing 6410910 relations and 4410910 ideals in 2000000 cliques
  400. Wed Feb 24 11:53:03 2021 commencing in-memory singleton removal
  401. Wed Feb 24 11:53:09 2021 begin with 81820957 relations and 73365668 unique ideals
  402. Wed Feb 24 11:53:45 2021 reduce to 81475613 relations and 68602353 ideals in 6 passes
  403. Wed Feb 24 11:53:45 2021 max relations containing the same ideal: 147
  404. Wed Feb 24 11:54:17 2021 removing 6379548 relations and 4379548 ideals in 2000000 cliques
  405. Wed Feb 24 11:54:19 2021 commencing in-memory singleton removal
  406. Wed Feb 24 11:54:24 2021 begin with 75096065 relations and 68602353 unique ideals
  407. Wed Feb 24 11:55:02 2021 reduce to 74730172 relations and 63849286 ideals in 7 passes
  408. Wed Feb 24 11:55:02 2021 max relations containing the same ideal: 139
  409. Wed Feb 24 11:55:31 2021 removing 6366018 relations and 4366018 ideals in 2000000 cliques
  410. Wed Feb 24 11:55:33 2021 commencing in-memory singleton removal
  411. Wed Feb 24 11:55:37 2021 begin with 68364154 relations and 63849286 unique ideals
  412. Wed Feb 24 11:56:12 2021 reduce to 67970731 relations and 59080737 ideals in 7 passes
  413. Wed Feb 24 11:56:12 2021 max relations containing the same ideal: 133
  414. Wed Feb 24 11:56:38 2021 removing 6376193 relations and 4376193 ideals in 2000000 cliques
  415. Wed Feb 24 11:56:40 2021 commencing in-memory singleton removal
  416. Wed Feb 24 11:56:44 2021 begin with 61594538 relations and 59080737 unique ideals
  417. Wed Feb 24 11:57:15 2021 reduce to 61166379 relations and 54265573 ideals in 7 passes
  418. Wed Feb 24 11:57:15 2021 max relations containing the same ideal: 123
  419. Wed Feb 24 11:57:39 2021 removing 6405974 relations and 4405974 ideals in 2000000 cliques
  420. Wed Feb 24 11:57:41 2021 commencing in-memory singleton removal
  421. Wed Feb 24 11:57:45 2021 begin with 54760405 relations and 54265573 unique ideals
  422. Wed Feb 24 11:58:16 2021 reduce to 54281274 relations and 49367120 ideals in 8 passes
  423. Wed Feb 24 11:58:16 2021 max relations containing the same ideal: 113
  424. Wed Feb 24 11:58:37 2021 removing 6455632 relations and 4455632 ideals in 2000000 cliques
  425. Wed Feb 24 11:58:39 2021 commencing in-memory singleton removal
  426. Wed Feb 24 11:58:42 2021 begin with 47825642 relations and 49367120 unique ideals
  427. Wed Feb 24 11:59:12 2021 reduce to 47279814 relations and 44348539 ideals in 9 passes
  428. Wed Feb 24 11:59:12 2021 max relations containing the same ideal: 103
  429. Wed Feb 24 11:59:31 2021 removing 6516639 relations and 4516639 ideals in 2000000 cliques
  430. Wed Feb 24 11:59:33 2021 commencing in-memory singleton removal
  431. Wed Feb 24 11:59:36 2021 begin with 40763175 relations and 44348539 unique ideals
  432. Wed Feb 24 11:59:59 2021 reduce to 40119336 relations and 39164939 ideals in 8 passes
  433. Wed Feb 24 11:59:59 2021 max relations containing the same ideal: 89
  434. Wed Feb 24 12:00:14 2021 removing 452602 relations and 374534 ideals in 78068 cliques
  435. Wed Feb 24 12:00:15 2021 commencing in-memory singleton removal
  436. Wed Feb 24 12:00:18 2021 begin with 39666734 relations and 39164939 unique ideals
  437. Wed Feb 24 12:00:32 2021 reduce to 39662914 relations and 38786575 ideals in 5 passes
  438. Wed Feb 24 12:00:32 2021 max relations containing the same ideal: 88
  439. Wed Feb 24 12:00:37 2021 relations with 0 large ideals: 57181
  440. Wed Feb 24 12:00:37 2021 relations with 1 large ideals: 10413
  441. Wed Feb 24 12:00:37 2021 relations with 2 large ideals: 96426
  442. Wed Feb 24 12:00:37 2021 relations with 3 large ideals: 687085
  443. Wed Feb 24 12:00:37 2021 relations with 4 large ideals: 2725196
  444. Wed Feb 24 12:00:37 2021 relations with 5 large ideals: 6520858
  445. Wed Feb 24 12:00:37 2021 relations with 6 large ideals: 9847127
  446. Wed Feb 24 12:00:37 2021 relations with 7+ large ideals: 19718628
  447. Wed Feb 24 12:00:37 2021 commencing 2-way merge
  448. Wed Feb 24 12:01:00 2021 reduce to 26542761 relation sets and 25666422 unique ideals
  449. Wed Feb 24 12:01:00 2021 commencing full merge
  450. Wed Feb 24 12:11:50 2021 memory use: 3693.0 MB
  451. Wed Feb 24 12:11:56 2021 found 12118404 cycles, need 12100622
  452. Wed Feb 24 12:11:57 2021 weight of 12100622 cycles is about 1452558675 (120.04/cycle)
  453. Wed Feb 24 12:11:57 2021 distribution of cycle lengths:
  454. Wed Feb 24 12:11:57 2021 1 relations: 573614
  455. Wed Feb 24 12:11:57 2021 2 relations: 742732
  456. Wed Feb 24 12:11:57 2021 3 relations: 850749
  457. Wed Feb 24 12:11:57 2021 4 relations: 872700
  458. Wed Feb 24 12:11:57 2021 5 relations: 888702
  459. Wed Feb 24 12:11:57 2021 6 relations: 882027
  460. Wed Feb 24 12:11:57 2021 7 relations: 857798
  461. Wed Feb 24 12:11:57 2021 8 relations: 820244
  462. Wed Feb 24 12:11:57 2021 9 relations: 769389
  463. Wed Feb 24 12:11:57 2021 10+ relations: 4842667
  464. Wed Feb 24 12:11:57 2021 heaviest cycle: 28 relations
  465. Wed Feb 24 12:12:02 2021 commencing cycle optimization
  466. Wed Feb 24 12:12:30 2021 start with 107913061 relations
  467. Wed Feb 24 12:17:02 2021 pruned 5273668 relations
  468. Wed Feb 24 12:17:02 2021 memory use: 2762.0 MB
  469. Wed Feb 24 12:17:02 2021 distribution of cycle lengths:
  470. Wed Feb 24 12:17:02 2021 1 relations: 573614
  471. Wed Feb 24 12:17:02 2021 2 relations: 758935
  472. Wed Feb 24 12:17:02 2021 3 relations: 884399
  473. Wed Feb 24 12:17:02 2021 4 relations: 909257
  474. Wed Feb 24 12:17:02 2021 5 relations: 935024
  475. Wed Feb 24 12:17:02 2021 6 relations: 926034
  476. Wed Feb 24 12:17:02 2021 7 relations: 906625
  477. Wed Feb 24 12:17:02 2021 8 relations: 863375
  478. Wed Feb 24 12:17:02 2021 9 relations: 809580
  479. Wed Feb 24 12:17:02 2021 10+ relations: 4533779
  480. Wed Feb 24 12:17:02 2021 heaviest cycle: 28 relations
  481. Wed Feb 24 12:17:32 2021 RelProcTime: 5430
  482. Wed Feb 24 12:17:32 2021
  483. Wed Feb 24 12:17:32 2021 commencing linear algebra
  484. Wed Feb 24 12:17:34 2021 read 12100622 cycles
  485. Wed Feb 24 12:18:00 2021 cycles contain 39232406 unique relations
  486. Wed Feb 24 12:20:34 2021 read 39232406 relations
  487. Wed Feb 24 12:21:56 2021 using 20 quadratic characters above 4294917295
  488. Wed Feb 24 12:24:05 2021 building initial matrix
  489. Wed Feb 24 12:30:57 2021 memory use: 5002.9 MB
  490. Wed Feb 24 12:31:09 2021 read 12100622 cycles
  491. Wed Feb 24 12:31:11 2021 matrix is 12100445 x 12100622 (5677.4 MB) with weight 1609302919 (132.99/col)
  492. Wed Feb 24 12:31:11 2021 sparse part has weight 1355189935 (111.99/col)
  493. Wed Feb 24 12:33:15 2021 filtering completed in 2 passes
  494. Wed Feb 24 12:33:16 2021 matrix is 12100350 x 12100527 (5677.4 MB) with weight 1609300076 (132.99/col)
  495. Wed Feb 24 12:33:16 2021 sparse part has weight 1355189098 (111.99/col)
  496. Wed Feb 24 12:33:57 2021 matrix starts at (0, 0)
  497. Wed Feb 24 12:33:58 2021 matrix is 12100350 x 12100527 (5677.4 MB) with weight 1609300076 (132.99/col)
  498. Wed Feb 24 12:33:58 2021 sparse part has weight 1355189098 (111.99/col)
  499. Wed Feb 24 12:33:58 2021 saving the first 48 matrix rows for later
  500. Wed Feb 24 12:34:00 2021 matrix includes 64 packed rows
  501. Wed Feb 24 12:34:01 2021 matrix is 12100302 x 12100527 (5443.7 MB) with weight 1392651213 (115.09/col)
  502. Wed Feb 24 12:34:01 2021 sparse part has weight 1306040883 (107.93/col)
  503. Wed Feb 24 12:34:01 2021 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  504. Wed Feb 24 12:35:03 2021 commencing Lanczos iteration (10 threads)
  505. Wed Feb 24 12:35:03 2021 memory use: 4672.6 MB
  506. Wed Feb 24 12:35:25 2021 linear algebra at 0.0%, ETA 46h25m
  507. Wed Feb 24 12:35:32 2021 checkpointing every 270000 dimensions
  508. Fri Feb 26 13:12:55 2021 lanczos halted after 191351 iterations (dim = 12100300)
  509. Fri Feb 26 13:13:04 2021 recovered 36 nontrivial dependencies
  510. Fri Feb 26 13:13:06 2021 BLanczosTime: 176134
  511. Fri Feb 26 13:13:06 2021
  512. Fri Feb 26 13:13:06 2021 commencing square root phase
  513. Fri Feb 26 13:13:06 2021 handling dependencies 1 to 64
  514. Fri Feb 26 13:13:06 2021 reading relations for dependency 1
  515. Fri Feb 26 13:13:09 2021 read 6052440 cycles
  516. Fri Feb 26 13:13:21 2021 cycles contain 19621690 unique relations
  517. Fri Feb 26 13:14:47 2021 read 19621690 relations
  518. Fri Feb 26 13:16:07 2021 multiplying 19621690 relations
  519. Fri Feb 26 13:26:13 2021 multiply complete, coefficients have about 509.45 million bits
  520. Fri Feb 26 13:26:16 2021 initial square root is modulo 1384227113
  521. Fri Feb 26 13:37:07 2021 sqrtTime: 1441
  522. Fri Feb 26 13:37:07 2021 p121 factor: 1166050058398648290381182153579501524867943211569524161665693673407438005097477829470831046604052564300310697233981323923
  523. Fri Feb 26 13:37:07 2021 p127 factor: 6273340443443428530280032079897610294426015100164307141996200398574234872843087666483603806714750306420310220285009581788958853
  524. Fri Feb 26 13:37:07 2021 elapsed time 50:50:07
  525.  
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