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4129_79m

gchilders
Jun 6th, 2024
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  1. Wed Jun 5 15:07:20 2024
  2. Wed Jun 5 15:07:20 2024
  3. Wed Jun 5 15:07:20 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jun 5 15:07:20 2024 random seeds: 00d3cb76 68dec308
  5. Wed Jun 5 15:07:20 2024 MPI process 0 of 1
  6. Wed Jun 5 15:07:20 2024 Using 46 OpenMP threads
  7. Wed Jun 5 15:07:20 2024 factoring 1086440779546074050168975379962429699458313437429769156193424374395679810011461455894357224330390624811914604746410288362775775735184432870781946277562268908163774484642021655414791159844528876755831012685263478079350952054158112987338397206616561904231872004712264589060681216830831 (283 digits)
  8. Wed Jun 5 15:07:21 2024 no P-1/P+1/ECM available, skipping
  9. Wed Jun 5 15:07:21 2024 commencing number field sieve (283-digit input)
  10. Wed Jun 5 15:07:21 2024 R0: -101387281245618442462439262158562533189432707489
  11. Wed Jun 5 15:07:21 2024 R1: 1
  12. Wed Jun 5 15:07:21 2024 A0: -1
  13. Wed Jun 5 15:07:21 2024 A1: 0
  14. Wed Jun 5 15:07:21 2024 A2: 0
  15. Wed Jun 5 15:07:21 2024 A3: 0
  16. Wed Jun 5 15:07:21 2024 A4: 0
  17. Wed Jun 5 15:07:21 2024 A5: 0
  18. Wed Jun 5 15:07:21 2024 A6: 4129
  19. Wed Jun 5 15:07:21 2024 skew 0.33, size 3.874e-14, alpha 0.175, combined = 9.902e-15 rroots = 2
  20. Wed Jun 5 15:07:21 2024
  21. Wed Jun 5 15:07:21 2024 commencing relation filtering
  22. Wed Jun 5 15:07:21 2024 setting target matrix density to 110.0
  23. Wed Jun 5 15:07:21 2024 estimated available RAM is 192069.2 MB
  24. Wed Jun 5 15:07:21 2024 commencing duplicate removal, pass 1
  25. Wed Jun 5 15:08:11 2024 error -11 reading relation 56843952
  26. Wed Jun 5 15:09:05 2024 error -15 reading relation 117675834
  27. Wed Jun 5 15:09:18 2024 error -15 reading relation 132752141
  28. Wed Jun 5 15:09:46 2024 error -5 reading relation 164576387
  29. Wed Jun 5 15:11:10 2024 error -5 reading relation 261617531
  30. Wed Jun 5 15:11:13 2024 error -1 reading relation 264820587
  31. Wed Jun 5 15:11:13 2024 error -11 reading relation 264822777
  32. Wed Jun 5 15:11:48 2024 error -5 reading relation 305485056
  33. Wed Jun 5 15:12:21 2024 error -1 reading relation 344183513
  34. Wed Jun 5 15:12:34 2024 error -6 reading relation 359217123
  35. Wed Jun 5 15:13:20 2024 error -5 reading relation 410142603
  36. Wed Jun 5 15:13:25 2024 error -5 reading relation 415206086
  37. Wed Jun 5 15:14:30 2024 error -11 reading relation 493831369
  38. Wed Jun 5 15:15:25 2024 skipped 244370 relations with b > 2^32
  39. Wed Jun 5 15:15:25 2024 skipped 497 malformed relations
  40. Wed Jun 5 15:15:25 2024 found 17391534 hash collisions in 558466401 relations
  41. Wed Jun 5 15:15:40 2024 added 1219373 free relations
  42. Wed Jun 5 15:15:41 2024 commencing duplicate removal, pass 2
  43. Wed Jun 5 15:18:24 2024 found 0 duplicates and 559685774 unique relations
  44. Wed Jun 5 15:18:24 2024 memory use: 1620.8 MB
  45. Wed Jun 5 15:18:24 2024 reading ideals above 720000
  46. Wed Jun 5 15:18:24 2024 commencing singleton removal, initial pass
  47. Wed Jun 5 15:50:35 2024 memory use: 11024.0 MB
  48. Wed Jun 5 15:50:36 2024 reading all ideals from disk
  49. Wed Jun 5 15:51:01 2024 memory use: 29048.0 MB
  50. Wed Jun 5 15:52:24 2024 keeping 486602472 ideals with weight <= 200, target excess is 3035347
  51. Wed Jun 5 15:53:55 2024 commencing in-memory singleton removal
  52. Wed Jun 5 15:54:01 2024 begin with 559685774 relations and 486602472 unique ideals
  53. Wed Jun 5 15:54:33 2024 reduce to 385521744 relations and 297472843 ideals in 13 passes
  54. Wed Jun 5 15:54:33 2024 max relations containing the same ideal: 169
  55. Wed Jun 5 15:57:06 2024 removing 12245325 relations and 10245325 ideals in 2000000 cliques
  56. Wed Jun 5 15:57:27 2024 commencing in-memory singleton removal
  57. Wed Jun 5 15:57:31 2024 begin with 373276419 relations and 297472843 unique ideals
  58. Wed Jun 5 15:57:51 2024 reduce to 372999491 relations and 286948588 ideals in 8 passes
  59. Wed Jun 5 15:57:51 2024 max relations containing the same ideal: 164
  60. Wed Jun 5 16:00:00 2024 removing 9365426 relations and 7365426 ideals in 2000000 cliques
  61. Wed Jun 5 16:00:16 2024 commencing in-memory singleton removal
  62. Wed Jun 5 16:00:20 2024 begin with 363634065 relations and 286948588 unique ideals
  63. Wed Jun 5 16:00:36 2024 reduce to 363451356 relations and 279399290 ideals in 8 passes
  64. Wed Jun 5 16:00:36 2024 max relations containing the same ideal: 162
  65. Wed Jun 5 16:03:11 2024 removing 8444575 relations and 6444575 ideals in 2000000 cliques
  66. Wed Jun 5 16:03:29 2024 commencing in-memory singleton removal
  67. Wed Jun 5 16:03:33 2024 begin with 355006781 relations and 279399290 unique ideals
  68. Wed Jun 5 16:03:48 2024 reduce to 354849567 relations and 272796610 ideals in 6 passes
  69. Wed Jun 5 16:03:48 2024 max relations containing the same ideal: 161
  70. Wed Jun 5 16:06:29 2024 removing 7916703 relations and 5916703 ideals in 2000000 cliques
  71. Wed Jun 5 16:06:48 2024 commencing in-memory singleton removal
  72. Wed Jun 5 16:06:52 2024 begin with 346932864 relations and 272796610 unique ideals
  73. Wed Jun 5 16:07:06 2024 reduce to 346789749 relations and 266735961 ideals in 7 passes
  74. Wed Jun 5 16:07:06 2024 max relations containing the same ideal: 159
  75. Wed Jun 5 16:09:00 2024 removing 7568955 relations and 5568955 ideals in 2000000 cliques
  76. Wed Jun 5 16:09:17 2024 commencing in-memory singleton removal
  77. Wed Jun 5 16:09:20 2024 begin with 339220794 relations and 266735961 unique ideals
  78. Wed Jun 5 16:09:31 2024 reduce to 339085577 relations and 261030972 ideals in 6 passes
  79. Wed Jun 5 16:09:31 2024 max relations containing the same ideal: 156
  80. Wed Jun 5 16:11:12 2024 removing 7308673 relations and 5308673 ideals in 2000000 cliques
  81. Wed Jun 5 16:11:26 2024 commencing in-memory singleton removal
  82. Wed Jun 5 16:11:29 2024 begin with 331776904 relations and 261030972 unique ideals
  83. Wed Jun 5 16:11:41 2024 reduce to 331646475 relations and 255591126 ideals in 6 passes
  84. Wed Jun 5 16:11:41 2024 max relations containing the same ideal: 153
  85. Wed Jun 5 16:13:19 2024 removing 7117895 relations and 5117895 ideals in 2000000 cliques
  86. Wed Jun 5 16:13:33 2024 commencing in-memory singleton removal
  87. Wed Jun 5 16:13:37 2024 begin with 324528580 relations and 255591126 unique ideals
  88. Wed Jun 5 16:13:48 2024 reduce to 324403010 relations and 250346921 ideals in 6 passes
  89. Wed Jun 5 16:13:48 2024 max relations containing the same ideal: 152
  90. Wed Jun 5 16:15:27 2024 removing 6971620 relations and 4971620 ideals in 2000000 cliques
  91. Wed Jun 5 16:15:41 2024 commencing in-memory singleton removal
  92. Wed Jun 5 16:15:44 2024 begin with 317431390 relations and 250346921 unique ideals
  93. Wed Jun 5 16:15:56 2024 reduce to 317307847 relations and 245251003 ideals in 6 passes
  94. Wed Jun 5 16:15:56 2024 max relations containing the same ideal: 149
  95. Wed Jun 5 16:17:37 2024 removing 6849541 relations and 4849541 ideals in 2000000 cliques
  96. Wed Jun 5 16:17:51 2024 commencing in-memory singleton removal
  97. Wed Jun 5 16:17:54 2024 begin with 310458306 relations and 245251003 unique ideals
  98. Wed Jun 5 16:18:07 2024 reduce to 310335057 relations and 240277433 ideals in 7 passes
  99. Wed Jun 5 16:18:07 2024 max relations containing the same ideal: 147
  100. Wed Jun 5 16:19:51 2024 removing 6751324 relations and 4751324 ideals in 2000000 cliques
  101. Wed Jun 5 16:20:05 2024 commencing in-memory singleton removal
  102. Wed Jun 5 16:20:08 2024 begin with 303583733 relations and 240277433 unique ideals
  103. Wed Jun 5 16:20:18 2024 reduce to 303463789 relations and 235405377 ideals in 6 passes
  104. Wed Jun 5 16:20:18 2024 max relations containing the same ideal: 144
  105. Wed Jun 5 16:21:52 2024 removing 6666130 relations and 4666130 ideals in 2000000 cliques
  106. Wed Jun 5 16:22:04 2024 commencing in-memory singleton removal
  107. Wed Jun 5 16:22:07 2024 begin with 296797659 relations and 235405377 unique ideals
  108. Wed Jun 5 16:22:17 2024 reduce to 296676629 relations and 230617407 ideals in 6 passes
  109. Wed Jun 5 16:22:17 2024 max relations containing the same ideal: 142
  110. Wed Jun 5 16:23:54 2024 removing 6602733 relations and 4602733 ideals in 2000000 cliques
  111. Wed Jun 5 16:24:07 2024 commencing in-memory singleton removal
  112. Wed Jun 5 16:24:10 2024 begin with 290073896 relations and 230617407 unique ideals
  113. Wed Jun 5 16:24:21 2024 reduce to 289953669 relations and 225893578 ideals in 7 passes
  114. Wed Jun 5 16:24:21 2024 max relations containing the same ideal: 138
  115. Wed Jun 5 16:25:59 2024 removing 6540231 relations and 4540231 ideals in 2000000 cliques
  116. Wed Jun 5 16:26:11 2024 commencing in-memory singleton removal
  117. Wed Jun 5 16:26:14 2024 begin with 283413438 relations and 225893578 unique ideals
  118. Wed Jun 5 16:26:24 2024 reduce to 283293111 relations and 221232146 ideals in 6 passes
  119. Wed Jun 5 16:26:24 2024 max relations containing the same ideal: 136
  120. Wed Jun 5 16:27:55 2024 removing 6493410 relations and 4493410 ideals in 2000000 cliques
  121. Wed Jun 5 16:28:07 2024 commencing in-memory singleton removal
  122. Wed Jun 5 16:28:10 2024 begin with 276799701 relations and 221232146 unique ideals
  123. Wed Jun 5 16:28:20 2024 reduce to 276677531 relations and 216615655 ideals in 6 passes
  124. Wed Jun 5 16:28:20 2024 max relations containing the same ideal: 135
  125. Wed Jun 5 16:29:59 2024 removing 6449122 relations and 4449122 ideals in 2000000 cliques
  126. Wed Jun 5 16:30:13 2024 commencing in-memory singleton removal
  127. Wed Jun 5 16:30:16 2024 begin with 270228409 relations and 216615655 unique ideals
  128. Wed Jun 5 16:30:26 2024 reduce to 270105173 relations and 212042370 ideals in 6 passes
  129. Wed Jun 5 16:30:26 2024 max relations containing the same ideal: 133
  130. Wed Jun 5 16:31:55 2024 removing 6418266 relations and 4418266 ideals in 2000000 cliques
  131. Wed Jun 5 16:32:07 2024 commencing in-memory singleton removal
  132. Wed Jun 5 16:32:09 2024 begin with 263686907 relations and 212042370 unique ideals
  133. Wed Jun 5 16:32:18 2024 reduce to 263561925 relations and 207498139 ideals in 6 passes
  134. Wed Jun 5 16:32:18 2024 max relations containing the same ideal: 132
  135. Wed Jun 5 16:33:46 2024 removing 6389817 relations and 4389817 ideals in 2000000 cliques
  136. Wed Jun 5 16:33:57 2024 commencing in-memory singleton removal
  137. Wed Jun 5 16:34:00 2024 begin with 257172108 relations and 207498139 unique ideals
  138. Wed Jun 5 16:34:08 2024 reduce to 257045870 relations and 202981055 ideals in 6 passes
  139. Wed Jun 5 16:34:08 2024 max relations containing the same ideal: 131
  140. Wed Jun 5 16:35:37 2024 removing 6365891 relations and 4365891 ideals in 2000000 cliques
  141. Wed Jun 5 16:35:48 2024 commencing in-memory singleton removal
  142. Wed Jun 5 16:35:50 2024 begin with 250679979 relations and 202981055 unique ideals
  143. Wed Jun 5 16:36:01 2024 reduce to 250552227 relations and 198486314 ideals in 6 passes
  144. Wed Jun 5 16:36:01 2024 max relations containing the same ideal: 129
  145. Wed Jun 5 16:37:31 2024 removing 6346326 relations and 4346326 ideals in 2000000 cliques
  146. Wed Jun 5 16:37:42 2024 commencing in-memory singleton removal
  147. Wed Jun 5 16:37:45 2024 begin with 244205901 relations and 198486314 unique ideals
  148. Wed Jun 5 16:37:54 2024 reduce to 244074994 relations and 194007950 ideals in 6 passes
  149. Wed Jun 5 16:37:54 2024 max relations containing the same ideal: 126
  150. Wed Jun 5 16:39:11 2024 removing 6339610 relations and 4339610 ideals in 2000000 cliques
  151. Wed Jun 5 16:39:21 2024 commencing in-memory singleton removal
  152. Wed Jun 5 16:39:23 2024 begin with 237735384 relations and 194007950 unique ideals
  153. Wed Jun 5 16:39:31 2024 reduce to 237603018 relations and 189534699 ideals in 6 passes
  154. Wed Jun 5 16:39:31 2024 max relations containing the same ideal: 123
  155. Wed Jun 5 16:40:45 2024 removing 6326688 relations and 4326688 ideals in 2000000 cliques
  156. Wed Jun 5 16:40:55 2024 commencing in-memory singleton removal
  157. Wed Jun 5 16:40:57 2024 begin with 231276330 relations and 189534699 unique ideals
  158. Wed Jun 5 16:41:06 2024 reduce to 231140980 relations and 185071366 ideals in 6 passes
  159. Wed Jun 5 16:41:06 2024 max relations containing the same ideal: 121
  160. Wed Jun 5 16:42:29 2024 removing 6318364 relations and 4318364 ideals in 2000000 cliques
  161. Wed Jun 5 16:42:39 2024 commencing in-memory singleton removal
  162. Wed Jun 5 16:42:41 2024 begin with 224822616 relations and 185071366 unique ideals
  163. Wed Jun 5 16:42:49 2024 reduce to 224684055 relations and 180613122 ideals in 6 passes
  164. Wed Jun 5 16:42:49 2024 max relations containing the same ideal: 121
  165. Wed Jun 5 16:44:09 2024 removing 6316216 relations and 4316216 ideals in 2000000 cliques
  166. Wed Jun 5 16:44:18 2024 commencing in-memory singleton removal
  167. Wed Jun 5 16:44:20 2024 begin with 218367839 relations and 180613122 unique ideals
  168. Wed Jun 5 16:44:29 2024 reduce to 218225028 relations and 176152701 ideals in 7 passes
  169. Wed Jun 5 16:44:29 2024 max relations containing the same ideal: 119
  170. Wed Jun 5 16:45:42 2024 removing 6320415 relations and 4320415 ideals in 2000000 cliques
  171. Wed Jun 5 16:45:51 2024 commencing in-memory singleton removal
  172. Wed Jun 5 16:45:53 2024 begin with 211904613 relations and 176152701 unique ideals
  173. Wed Jun 5 16:46:01 2024 reduce to 211758940 relations and 171685138 ideals in 6 passes
  174. Wed Jun 5 16:46:01 2024 max relations containing the same ideal: 115
  175. Wed Jun 5 16:47:15 2024 removing 6327687 relations and 4327687 ideals in 2000000 cliques
  176. Wed Jun 5 16:47:24 2024 commencing in-memory singleton removal
  177. Wed Jun 5 16:47:26 2024 begin with 205431253 relations and 171685138 unique ideals
  178. Wed Jun 5 16:47:34 2024 reduce to 205280938 relations and 167205531 ideals in 6 passes
  179. Wed Jun 5 16:47:34 2024 max relations containing the same ideal: 113
  180. Wed Jun 5 16:48:45 2024 removing 6334383 relations and 4334383 ideals in 2000000 cliques
  181. Wed Jun 5 16:48:55 2024 commencing in-memory singleton removal
  182. Wed Jun 5 16:48:57 2024 begin with 198946555 relations and 167205531 unique ideals
  183. Wed Jun 5 16:49:04 2024 reduce to 198791435 relations and 162714435 ideals in 6 passes
  184. Wed Jun 5 16:49:04 2024 max relations containing the same ideal: 111
  185. Wed Jun 5 16:50:12 2024 removing 6349237 relations and 4349237 ideals in 2000000 cliques
  186. Wed Jun 5 16:50:20 2024 commencing in-memory singleton removal
  187. Wed Jun 5 16:50:22 2024 begin with 192442198 relations and 162714435 unique ideals
  188. Wed Jun 5 16:50:31 2024 reduce to 192282581 relations and 158203816 ideals in 7 passes
  189. Wed Jun 5 16:50:31 2024 max relations containing the same ideal: 109
  190. Wed Jun 5 16:51:38 2024 removing 6364116 relations and 4364116 ideals in 2000000 cliques
  191. Wed Jun 5 16:51:46 2024 commencing in-memory singleton removal
  192. Wed Jun 5 16:51:48 2024 begin with 185918465 relations and 158203816 unique ideals
  193. Wed Jun 5 16:51:55 2024 reduce to 185752234 relations and 153671600 ideals in 6 passes
  194. Wed Jun 5 16:51:55 2024 max relations containing the same ideal: 106
  195. Wed Jun 5 16:53:01 2024 removing 6386097 relations and 4386097 ideals in 2000000 cliques
  196. Wed Jun 5 16:53:09 2024 commencing in-memory singleton removal
  197. Wed Jun 5 16:53:10 2024 begin with 179366137 relations and 153671600 unique ideals
  198. Wed Jun 5 16:53:17 2024 reduce to 179193742 relations and 149111070 ideals in 6 passes
  199. Wed Jun 5 16:53:17 2024 max relations containing the same ideal: 104
  200. Wed Jun 5 16:54:16 2024 removing 6405688 relations and 4405688 ideals in 2000000 cliques
  201. Wed Jun 5 16:54:23 2024 commencing in-memory singleton removal
  202. Wed Jun 5 16:54:25 2024 begin with 172788054 relations and 149111070 unique ideals
  203. Wed Jun 5 16:54:31 2024 reduce to 172608944 relations and 144524161 ideals in 6 passes
  204. Wed Jun 5 16:54:31 2024 max relations containing the same ideal: 101
  205. Wed Jun 5 16:55:27 2024 removing 6437754 relations and 4437754 ideals in 2000000 cliques
  206. Wed Jun 5 16:55:34 2024 commencing in-memory singleton removal
  207. Wed Jun 5 16:55:36 2024 begin with 166171190 relations and 144524161 unique ideals
  208. Wed Jun 5 16:55:41 2024 reduce to 165984461 relations and 139897365 ideals in 6 passes
  209. Wed Jun 5 16:55:41 2024 max relations containing the same ideal: 99
  210. Wed Jun 5 16:56:41 2024 removing 6472123 relations and 4472123 ideals in 2000000 cliques
  211. Wed Jun 5 16:56:48 2024 commencing in-memory singleton removal
  212. Wed Jun 5 16:56:50 2024 begin with 159512338 relations and 139897365 unique ideals
  213. Wed Jun 5 16:56:56 2024 reduce to 159315848 relations and 135226354 ideals in 7 passes
  214. Wed Jun 5 16:56:56 2024 max relations containing the same ideal: 95
  215. Wed Jun 5 16:57:48 2024 removing 6508223 relations and 4508223 ideals in 2000000 cliques
  216. Wed Jun 5 16:57:55 2024 commencing in-memory singleton removal
  217. Wed Jun 5 16:57:56 2024 begin with 152807625 relations and 135226354 unique ideals
  218. Wed Jun 5 16:58:02 2024 reduce to 152604539 relations and 130512428 ideals in 6 passes
  219. Wed Jun 5 16:58:02 2024 max relations containing the same ideal: 91
  220. Wed Jun 5 16:58:51 2024 removing 6551856 relations and 4551856 ideals in 2000000 cliques
  221. Wed Jun 5 16:58:57 2024 commencing in-memory singleton removal
  222. Wed Jun 5 16:58:59 2024 begin with 146052683 relations and 130512428 unique ideals
  223. Wed Jun 5 16:59:04 2024 reduce to 145837143 relations and 125742323 ideals in 6 passes
  224. Wed Jun 5 16:59:04 2024 max relations containing the same ideal: 89
  225. Wed Jun 5 16:59:52 2024 removing 6598708 relations and 4598708 ideals in 2000000 cliques
  226. Wed Jun 5 16:59:58 2024 commencing in-memory singleton removal
  227. Wed Jun 5 17:00:00 2024 begin with 139238435 relations and 125742323 unique ideals
  228. Wed Jun 5 17:00:05 2024 reduce to 139010434 relations and 120912536 ideals in 6 passes
  229. Wed Jun 5 17:00:05 2024 max relations containing the same ideal: 87
  230. Wed Jun 5 17:00:51 2024 removing 6656881 relations and 4656881 ideals in 2000000 cliques
  231. Wed Jun 5 17:00:57 2024 commencing in-memory singleton removal
  232. Wed Jun 5 17:00:58 2024 begin with 132353553 relations and 120912536 unique ideals
  233. Wed Jun 5 17:01:03 2024 reduce to 132111472 relations and 116010272 ideals in 6 passes
  234. Wed Jun 5 17:01:03 2024 max relations containing the same ideal: 84
  235. Wed Jun 5 17:01:46 2024 removing 6714895 relations and 4714895 ideals in 2000000 cliques
  236. Wed Jun 5 17:01:52 2024 commencing in-memory singleton removal
  237. Wed Jun 5 17:01:54 2024 begin with 125396577 relations and 116010272 unique ideals
  238. Wed Jun 5 17:01:59 2024 reduce to 125139910 relations and 111034878 ideals in 7 passes
  239. Wed Jun 5 17:01:59 2024 max relations containing the same ideal: 81
  240. Wed Jun 5 17:02:43 2024 removing 6782416 relations and 4782416 ideals in 2000000 cliques
  241. Wed Jun 5 17:02:48 2024 commencing in-memory singleton removal
  242. Wed Jun 5 17:02:49 2024 begin with 118357494 relations and 111034878 unique ideals
  243. Wed Jun 5 17:02:54 2024 reduce to 118084441 relations and 105975259 ideals in 7 passes
  244. Wed Jun 5 17:02:54 2024 max relations containing the same ideal: 79
  245. Wed Jun 5 17:03:33 2024 removing 6860604 relations and 4860604 ideals in 2000000 cliques
  246. Wed Jun 5 17:03:38 2024 commencing in-memory singleton removal
  247. Wed Jun 5 17:03:39 2024 begin with 111223837 relations and 105975259 unique ideals
  248. Wed Jun 5 17:03:43 2024 reduce to 110928087 relations and 100814575 ideals in 7 passes
  249. Wed Jun 5 17:03:43 2024 max relations containing the same ideal: 74
  250. Wed Jun 5 17:04:24 2024 removing 6945225 relations and 4945225 ideals in 2000000 cliques
  251. Wed Jun 5 17:04:30 2024 commencing in-memory singleton removal
  252. Wed Jun 5 17:04:32 2024 begin with 103982862 relations and 100814575 unique ideals
  253. Wed Jun 5 17:04:35 2024 reduce to 103662219 relations and 95543567 ideals in 6 passes
  254. Wed Jun 5 17:04:35 2024 max relations containing the same ideal: 71
  255. Wed Jun 5 17:05:11 2024 removing 7033172 relations and 5033172 ideals in 2000000 cliques
  256. Wed Jun 5 17:05:16 2024 commencing in-memory singleton removal
  257. Wed Jun 5 17:05:17 2024 begin with 96629047 relations and 95543567 unique ideals
  258. Wed Jun 5 17:05:21 2024 reduce to 96278983 relations and 90154542 ideals in 7 passes
  259. Wed Jun 5 17:05:21 2024 max relations containing the same ideal: 69
  260. Wed Jun 5 17:05:54 2024 removing 7142820 relations and 5142820 ideals in 2000000 cliques
  261. Wed Jun 5 17:05:59 2024 commencing in-memory singleton removal
  262. Wed Jun 5 17:06:00 2024 begin with 89136163 relations and 90154542 unique ideals
  263. Wed Jun 5 17:06:04 2024 reduce to 88749031 relations and 84617800 ideals in 8 passes
  264. Wed Jun 5 17:06:04 2024 max relations containing the same ideal: 66
  265. Wed Jun 5 17:06:34 2024 removing 2730226 relations and 2119998 ideals in 610228 cliques
  266. Wed Jun 5 17:06:38 2024 commencing in-memory singleton removal
  267. Wed Jun 5 17:06:39 2024 begin with 86018805 relations and 84617800 unique ideals
  268. Wed Jun 5 17:06:42 2024 reduce to 85962406 relations and 82441104 ideals in 6 passes
  269. Wed Jun 5 17:06:42 2024 max relations containing the same ideal: 63
  270. Wed Jun 5 17:07:24 2024 relations with 0 large ideals: 112647
  271. Wed Jun 5 17:07:24 2024 relations with 1 large ideals: 79367
  272. Wed Jun 5 17:07:24 2024 relations with 2 large ideals: 848832
  273. Wed Jun 5 17:07:24 2024 relations with 3 large ideals: 4450566
  274. Wed Jun 5 17:07:24 2024 relations with 4 large ideals: 12534675
  275. Wed Jun 5 17:07:24 2024 relations with 5 large ideals: 21048885
  276. Wed Jun 5 17:07:24 2024 relations with 6 large ideals: 22197241
  277. Wed Jun 5 17:07:24 2024 relations with 7+ large ideals: 24690193
  278. Wed Jun 5 17:07:24 2024 commencing 2-way merge
  279. Wed Jun 5 17:08:09 2024 reduce to 55994396 relation sets and 52473094 unique ideals
  280. Wed Jun 5 17:08:09 2024 commencing full merge
  281. Wed Jun 5 17:26:23 2024 memory use: 6846.4 MB
  282. Wed Jun 5 17:26:27 2024 found 26805720 cycles, need 26349294
  283. Wed Jun 5 17:26:36 2024 weight of 26349294 cycles is about 2899028823 (110.02/cycle)
  284. Wed Jun 5 17:26:36 2024 distribution of cycle lengths:
  285. Wed Jun 5 17:26:36 2024 1 relations: 1688484
  286. Wed Jun 5 17:26:36 2024 2 relations: 1948991
  287. Wed Jun 5 17:26:36 2024 3 relations: 2130497
  288. Wed Jun 5 17:26:36 2024 4 relations: 2158700
  289. Wed Jun 5 17:26:36 2024 5 relations: 2186227
  290. Wed Jun 5 17:26:36 2024 6 relations: 2161827
  291. Wed Jun 5 17:26:36 2024 7 relations: 2089161
  292. Wed Jun 5 17:26:36 2024 8 relations: 1972567
  293. Wed Jun 5 17:26:36 2024 9 relations: 1810453
  294. Wed Jun 5 17:26:36 2024 10+ relations: 8202387
  295. Wed Jun 5 17:26:36 2024 heaviest cycle: 24 relations
  296. Wed Jun 5 17:26:50 2024 commencing cycle optimization
  297. Wed Jun 5 17:27:33 2024 start with 197991991 relations
  298. Wed Jun 5 17:33:25 2024 pruned 8096952 relations
  299. Wed Jun 5 17:33:25 2024 memory use: 5578.3 MB
  300. Wed Jun 5 17:33:26 2024 distribution of cycle lengths:
  301. Wed Jun 5 17:33:26 2024 1 relations: 1688484
  302. Wed Jun 5 17:33:26 2024 2 relations: 1995406
  303. Wed Jun 5 17:33:26 2024 3 relations: 2218749
  304. Wed Jun 5 17:33:26 2024 4 relations: 2247748
  305. Wed Jun 5 17:33:26 2024 5 relations: 2295289
  306. Wed Jun 5 17:33:26 2024 6 relations: 2264210
  307. Wed Jun 5 17:33:26 2024 7 relations: 2194979
  308. Wed Jun 5 17:33:26 2024 8 relations: 2060446
  309. Wed Jun 5 17:33:26 2024 9 relations: 1882331
  310. Wed Jun 5 17:33:26 2024 10+ relations: 7501652
  311. Wed Jun 5 17:33:26 2024 heaviest cycle: 24 relations
  312. Wed Jun 5 17:34:13 2024 RelProcTime: 8812
  313. Wed Jun 5 17:34:13 2024 elapsed time 02:26:53
  314. Wed Jun 5 17:34:24 2024
  315. Wed Jun 5 17:34:24 2024
  316. Wed Jun 5 17:34:24 2024 Msieve v. 1.54 (SVN Unversioned directory)
  317. Wed Jun 5 17:34:24 2024 random seeds: 0819d3a1 e2f1e755
  318. Wed Jun 5 17:34:24 2024 MPI process 0 of 1
  319. Wed Jun 5 17:34:24 2024 Using 46 OpenMP threads
  320. Wed Jun 5 17:34:24 2024 factoring 1086440779546074050168975379962429699458313437429769156193424374395679810011461455894357224330390624811914604746410288362775775735184432870781946277562268908163774484642021655414791159844528876755831012685263478079350952054158112987338397206616561904231872004712264589060681216830831 (283 digits)
  321. Wed Jun 5 17:34:25 2024 no P-1/P+1/ECM available, skipping
  322. Wed Jun 5 17:34:25 2024 commencing number field sieve (283-digit input)
  323. Wed Jun 5 17:34:25 2024 R0: -101387281245618442462439262158562533189432707489
  324. Wed Jun 5 17:34:25 2024 R1: 1
  325. Wed Jun 5 17:34:25 2024 A0: -1
  326. Wed Jun 5 17:34:25 2024 A1: 0
  327. Wed Jun 5 17:34:25 2024 A2: 0
  328. Wed Jun 5 17:34:25 2024 A3: 0
  329. Wed Jun 5 17:34:25 2024 A4: 0
  330. Wed Jun 5 17:34:25 2024 A5: 0
  331. Wed Jun 5 17:34:25 2024 A6: 4129
  332. Wed Jun 5 17:34:25 2024 skew 0.33, size 3.874e-14, alpha 0.175, combined = 9.902e-15 rroots = 2
  333. Wed Jun 5 17:34:25 2024
  334. Wed Jun 5 17:34:25 2024 commencing linear algebra
  335. Wed Jun 5 17:34:25 2024 using VBITS=128
  336. Wed Jun 5 17:34:25 2024 stopping after matrix build
  337. Wed Jun 5 17:34:25 2024 initialized process (0,0) of 1 x 1 grid
  338. Wed Jun 5 17:34:29 2024 read 26349294 cycles
  339. Wed Jun 5 17:35:29 2024 cycles contain 84363270 unique relations
  340. Wed Jun 5 17:36:50 2024 read 84363270 relations
  341. Wed Jun 5 17:36:57 2024 using 20 quadratic characters above 4294917295
  342. Wed Jun 5 17:37:08 2024 building initial matrix
  343. Wed Jun 5 17:57:48 2024 memory use: 11626.1 MB
  344. Wed Jun 5 17:58:15 2024 read 26349294 cycles
  345. Wed Jun 5 17:58:18 2024 matrix is 26349115 x 26349294 (11519.4 MB) with weight 3340525586 (126.78/col)
  346. Wed Jun 5 17:58:18 2024 sparse part has weight 2729911279 (103.60/col)
  347. Wed Jun 5 18:06:20 2024 filtering completed in 2 passes
  348. Wed Jun 5 18:06:25 2024 matrix is 26347277 x 26347455 (11519.3 MB) with weight 3340459142 (126.78/col)
  349. Wed Jun 5 18:06:25 2024 sparse part has weight 2729886538 (103.61/col)
  350. Wed Jun 5 18:07:50 2024 BLanczosTime: 2005
  351. Wed Jun 5 18:07:50 2024 elapsed time 00:33:26
  352. Wed Jun 5 22:18:55 2024
  353. Wed Jun 5 22:18:55 2024
  354. Wed Jun 5 22:18:55 2024 Msieve v. 1.54 (SVN unknown)
  355. Wed Jun 5 22:18:55 2024 random seeds: c375ff49 522dc099
  356. Wed Jun 5 22:18:55 2024 MPI process 0 of 4
  357. Wed Jun 5 22:18:55 2024 Using 16 OpenMP threads
  358. Wed Jun 5 22:18:55 2024 factoring 1086440779546074050168975379962429699458313437429769156193424374395679810011461455894357224330390624811914604746410288362775775735184432870781946277562268908163774484642021655414791159844528876755831012685263478079350952054158112987338397206616561904231872004712264589060681216830831 (283 digits)
  359. Wed Jun 5 22:18:56 2024 no P-1/P+1/ECM available, skipping
  360. Wed Jun 5 22:18:56 2024 commencing number field sieve (283-digit input)
  361. Wed Jun 5 22:18:56 2024 R0: -101387281245618442462439262158562533189432707489
  362. Wed Jun 5 22:18:56 2024 R1: 1
  363. Wed Jun 5 22:18:56 2024 A0: -1
  364. Wed Jun 5 22:18:56 2024 A1: 0
  365. Wed Jun 5 22:18:56 2024 A2: 0
  366. Wed Jun 5 22:18:56 2024 A3: 0
  367. Wed Jun 5 22:18:56 2024 A4: 0
  368. Wed Jun 5 22:18:56 2024 A5: 0
  369. Wed Jun 5 22:18:56 2024 A6: 4129
  370. Wed Jun 5 22:18:56 2024 skew 0.33, size 3.874e-14, alpha 0.175, combined = 9.902e-15 rroots = 2
  371. Wed Jun 5 22:18:56 2024
  372. Wed Jun 5 22:18:56 2024 commencing linear algebra
  373. Wed Jun 5 22:18:56 2024 using VBITS=256
  374. Wed Jun 5 22:18:56 2024 skipping matrix build
  375. Wed Jun 5 22:18:57 2024 initialized process (0,0) of 2 x 2 grid
  376. Wed Jun 5 22:19:19 2024 matrix starts at (0, 0)
  377. Wed Jun 5 22:19:21 2024 matrix is 13173759 x 13173690 (3375.8 MB) with weight 1045306585 (79.35/col)
  378. Wed Jun 5 22:19:21 2024 sparse part has weight 740027174 (56.17/col)
  379. Wed Jun 5 22:19:21 2024 saving the first 240 matrix rows for later
  380. Wed Jun 5 22:19:23 2024 matrix includes 256 packed rows
  381. Wed Jun 5 22:19:26 2024 matrix is 13173519 x 13173690 (3017.2 MB) with weight 625463629 (47.48/col)
  382. Wed Jun 5 22:19:26 2024 sparse part has weight 580169910 (44.04/col)
  383. Wed Jun 5 22:19:26 2024 using GPU 0 (NVIDIA A100-SXM4-40GB)
  384. Wed Jun 5 22:19:26 2024 selected card has CUDA arch 8.0
  385. Wed Jun 5 22:19:54 2024 commencing Lanczos iteration
  386. Wed Jun 5 22:19:54 2024 memory use: 6939.0 MB
  387. Wed Jun 5 22:20:09 2024 linear algebra at 0.1%, ETA 3h20m
  388. Wed Jun 5 22:20:30 2024 checking every 130000 dimensions, checkpointing every 7930000 dimensions
  389. Thu Jun 6 01:42:07 2024 lanczos halted after 103228 iterations (dim = 26347037)
  390. Thu Jun 6 01:43:44 2024 recovered 35 nontrivial dependencies
  391. Thu Jun 6 01:43:44 2024 BLanczosTime: 12288
  392. Thu Jun 6 01:43:44 2024 elapsed time 03:24:49
  393. Thu Jun 6 07:47:05 2024
  394. Thu Jun 6 07:47:05 2024
  395. Thu Jun 6 07:47:05 2024 Msieve v. 1.54 (SVN Unversioned directory)
  396. Thu Jun 6 07:47:05 2024 random seeds: 15bceb19 d1bb92f7
  397. Thu Jun 6 07:47:05 2024 MPI process 0 of 1
  398. Thu Jun 6 07:47:05 2024 Using 32 OpenMP threads
  399. Thu Jun 6 07:47:05 2024 factoring 1086440779546074050168975379962429699458313437429769156193424374395679810011461455894357224330390624811914604746410288362775775735184432870781946277562268908163774484642021655414791159844528876755831012685263478079350952054158112987338397206616561904231872004712264589060681216830831 (283 digits)
  400. Thu Jun 6 07:47:06 2024 no P-1/P+1/ECM available, skipping
  401. Thu Jun 6 07:47:06 2024 commencing number field sieve (283-digit input)
  402. Thu Jun 6 07:47:06 2024 R0: -101387281245618442462439262158562533189432707489
  403. Thu Jun 6 07:47:06 2024 R1: 1
  404. Thu Jun 6 07:47:06 2024 A0: -1
  405. Thu Jun 6 07:47:06 2024 A1: 0
  406. Thu Jun 6 07:47:06 2024 A2: 0
  407. Thu Jun 6 07:47:06 2024 A3: 0
  408. Thu Jun 6 07:47:06 2024 A4: 0
  409. Thu Jun 6 07:47:06 2024 A5: 0
  410. Thu Jun 6 07:47:06 2024 A6: 4129
  411. Thu Jun 6 07:47:06 2024 skew 0.33, size 3.874e-14, alpha 0.175, combined = 9.902e-15 rroots = 2
  412. Thu Jun 6 07:47:06 2024
  413. Thu Jun 6 07:47:06 2024 commencing square root phase
  414. Thu Jun 6 07:47:06 2024 reading relations for dependency 1
  415. Thu Jun 6 07:47:09 2024 read 13174502 cycles
  416. Thu Jun 6 07:47:37 2024 cycles contain 42172176 unique relations
  417. Thu Jun 6 07:48:57 2024 read 42172176 relations
  418. Thu Jun 6 07:53:01 2024 multiplying 42172176 relations
  419. Thu Jun 6 07:57:02 2024 multiply complete, coefficients have about 1622.69 million bits
  420. Thu Jun 6 07:57:07 2024 initial square root is modulo 19008127
  421. Thu Jun 6 08:09:46 2024 sqrtTime: 1360
  422. Thu Jun 6 08:09:47 2024 p69 factor: 327622518166091262484912357501305524281229528986861388723006364468997
  423. Thu Jun 6 08:09:47 2024 p214 factor: 3316135855458179646139101704992202150716706206826681943909944336091092299088400824781260192506497962925416529481540000351171687694176837335292621967085934790806921689164201820815472459705428538517055159324445418723
  424. Thu Jun 6 08:09:47 2024 elapsed time 00:22:42
  425.  
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