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gchilders

Lucas(2019)

Oct 17th, 2022
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  1. Sun Oct 16 19:14:36 2022
  2. Sun Oct 16 19:14:36 2022
  3. Sun Oct 16 19:14:36 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Oct 16 19:14:36 2022 random seeds: ae824de4 85686335
  5. Sun Oct 16 19:14:36 2022 MPI process 0 of 1
  6. Sun Oct 16 19:14:36 2022 Using 32 OpenMP threads
  7. Sun Oct 16 19:14:36 2022 factoring 9971710468715814110351148007651216679159582622682355643851832775157019396153515061042801455712151259426290740102265199193399276997841938929079392542703109822983008639424109568522172072814025183662464673827789939137177028778051615306606884144921220776175789 (256 digits)
  8. Sun Oct 16 19:14:38 2022 no P-1/P+1/ECM available, skipping
  9. Sun Oct 16 19:14:38 2022 commencing number field sieve (256-digit input)
  10. Sun Oct 16 19:14:38 2022 R0: -47068900554068939361891195233676009091941690850
  11. Sun Oct 16 19:14:38 2022 R1: 29090180355503362256910111038089984964854261893
  12. Sun Oct 16 19:14:38 2022 A0: 6
  13. Sun Oct 16 19:14:38 2022 A1: -27
  14. Sun Oct 16 19:14:38 2022 A2: 45
  15. Sun Oct 16 19:14:38 2022 A3: -15
  16. Sun Oct 16 19:14:38 2022 A4: 30
  17. Sun Oct 16 19:14:38 2022 A5: 3
  18. Sun Oct 16 19:14:38 2022 A6: 4
  19. Sun Oct 16 19:14:38 2022 skew 1.14, size 8.334e-14, alpha 0.306, combined = 1.737e-14 rroots = 0
  20. Sun Oct 16 19:14:38 2022
  21. Sun Oct 16 19:14:38 2022 commencing relation filtering
  22. Sun Oct 16 19:14:38 2022 setting target matrix density to 110.0
  23. Sun Oct 16 19:14:38 2022 estimated available RAM is 257753.8 MB
  24. Sun Oct 16 19:14:38 2022 commencing duplicate removal, pass 1
  25. Sun Oct 16 19:37:43 2022 skipped 7554 relations with b > 2^32
  26. Sun Oct 16 19:37:43 2022 skipped 11 relations with composite factors
  27. Sun Oct 16 19:37:43 2022 skipped 720 malformed relations
  28. Sun Oct 16 19:37:43 2022 found 270136493 hash collisions in 954141478 relations
  29. Sun Oct 16 19:37:58 2022 added 812294 free relations
  30. Sun Oct 16 19:37:58 2022 commencing duplicate removal, pass 2
  31. Sun Oct 16 19:45:21 2022 found 259516902 duplicates and 695436870 unique relations
  32. Sun Oct 16 19:45:21 2022 memory use: 8780.0 MB
  33. Sun Oct 16 19:45:22 2022 reading ideals above 720000
  34. Sun Oct 16 19:45:22 2022 commencing singleton removal, initial pass
  35. Sun Oct 16 20:40:34 2022 memory use: 11024.0 MB
  36. Sun Oct 16 20:40:35 2022 reading all ideals from disk
  37. Sun Oct 16 20:40:55 2022 memory use: 35244.3 MB
  38. Sun Oct 16 20:43:07 2022 keeping 646335533 ideals with weight <= 200, target excess is 3797514
  39. Sun Oct 16 20:45:41 2022 commencing in-memory singleton removal
  40. Sun Oct 16 20:46:06 2022 begin with 695436870 relations and 646335533 unique ideals
  41. Sun Oct 16 20:48:09 2022 reduce to 432046079 relations and 354286103 ideals in 15 passes
  42. Sun Oct 16 20:48:09 2022 max relations containing the same ideal: 154
  43. Sun Oct 16 20:51:09 2022 removing 16395322 relations and 14395322 ideals in 2000000 cliques
  44. Sun Oct 16 20:51:25 2022 commencing in-memory singleton removal
  45. Sun Oct 16 20:51:39 2022 begin with 415650757 relations and 354286103 unique ideals
  46. Sun Oct 16 20:52:37 2022 reduce to 415167676 relations and 339404282 ideals in 9 passes
  47. Sun Oct 16 20:52:37 2022 max relations containing the same ideal: 152
  48. Sun Oct 16 20:55:29 2022 removing 12213790 relations and 10213790 ideals in 2000000 cliques
  49. Sun Oct 16 20:55:43 2022 commencing in-memory singleton removal
  50. Sun Oct 16 20:55:57 2022 begin with 402953886 relations and 339404282 unique ideals
  51. Sun Oct 16 20:56:46 2022 reduce to 402660596 relations and 328895516 ideals in 8 passes
  52. Sun Oct 16 20:56:46 2022 max relations containing the same ideal: 150
  53. Sun Oct 16 20:59:32 2022 removing 10883264 relations and 8883264 ideals in 2000000 cliques
  54. Sun Oct 16 20:59:45 2022 commencing in-memory singleton removal
  55. Sun Oct 16 20:59:58 2022 begin with 391777332 relations and 328895516 unique ideals
  56. Sun Oct 16 21:00:41 2022 reduce to 391531743 relations and 319765362 ideals in 7 passes
  57. Sun Oct 16 21:00:41 2022 max relations containing the same ideal: 148
  58. Sun Oct 16 21:03:21 2022 removing 10126146 relations and 8126146 ideals in 2000000 cliques
  59. Sun Oct 16 21:03:33 2022 commencing in-memory singleton removal
  60. Sun Oct 16 21:03:46 2022 begin with 381405597 relations and 319765362 unique ideals
  61. Sun Oct 16 21:04:28 2022 reduce to 381185219 relations and 311417676 ideals in 7 passes
  62. Sun Oct 16 21:04:28 2022 max relations containing the same ideal: 146
  63. Sun Oct 16 21:06:59 2022 removing 9615666 relations and 7615666 ideals in 2000000 cliques
  64. Sun Oct 16 21:07:12 2022 commencing in-memory singleton removal
  65. Sun Oct 16 21:07:25 2022 begin with 371569553 relations and 311417676 unique ideals
  66. Sun Oct 16 21:08:05 2022 reduce to 371364919 relations and 303596316 ideals in 7 passes
  67. Sun Oct 16 21:08:05 2022 max relations containing the same ideal: 145
  68. Sun Oct 16 21:10:30 2022 removing 9238562 relations and 7238562 ideals in 2000000 cliques
  69. Sun Oct 16 21:10:42 2022 commencing in-memory singleton removal
  70. Sun Oct 16 21:10:54 2022 begin with 362126357 relations and 303596316 unique ideals
  71. Sun Oct 16 21:11:33 2022 reduce to 361932156 relations and 296162473 ideals in 7 passes
  72. Sun Oct 16 21:11:33 2022 max relations containing the same ideal: 144
  73. Sun Oct 16 21:13:55 2022 removing 8947772 relations and 6947772 ideals in 2000000 cliques
  74. Sun Oct 16 21:14:07 2022 commencing in-memory singleton removal
  75. Sun Oct 16 21:14:18 2022 begin with 352984384 relations and 296162473 unique ideals
  76. Sun Oct 16 21:15:01 2022 reduce to 352797680 relations and 289026958 ideals in 8 passes
  77. Sun Oct 16 21:15:01 2022 max relations containing the same ideal: 144
  78. Sun Oct 16 21:17:17 2022 removing 8715661 relations and 6715661 ideals in 2000000 cliques
  79. Sun Oct 16 21:17:29 2022 commencing in-memory singleton removal
  80. Sun Oct 16 21:17:41 2022 begin with 344082019 relations and 289026958 unique ideals
  81. Sun Oct 16 21:18:17 2022 reduce to 343899483 relations and 282127824 ideals in 7 passes
  82. Sun Oct 16 21:18:17 2022 max relations containing the same ideal: 139
  83. Sun Oct 16 21:20:29 2022 removing 8531706 relations and 6531706 ideals in 2000000 cliques
  84. Sun Oct 16 21:20:41 2022 commencing in-memory singleton removal
  85. Sun Oct 16 21:20:52 2022 begin with 335367777 relations and 282127824 unique ideals
  86. Sun Oct 16 21:21:23 2022 reduce to 335189040 relations and 275416440 ideals in 6 passes
  87. Sun Oct 16 21:21:23 2022 max relations containing the same ideal: 136
  88. Sun Oct 16 21:23:32 2022 removing 8376235 relations and 6376235 ideals in 2000000 cliques
  89. Sun Oct 16 21:23:43 2022 commencing in-memory singleton removal
  90. Sun Oct 16 21:23:54 2022 begin with 326812805 relations and 275416440 unique ideals
  91. Sun Oct 16 21:24:28 2022 reduce to 326637154 relations and 268863570 ideals in 7 passes
  92. Sun Oct 16 21:24:28 2022 max relations containing the same ideal: 135
  93. Sun Oct 16 21:26:35 2022 removing 8245350 relations and 6245350 ideals in 2000000 cliques
  94. Sun Oct 16 21:26:45 2022 commencing in-memory singleton removal
  95. Sun Oct 16 21:26:56 2022 begin with 318391804 relations and 268863570 unique ideals
  96. Sun Oct 16 21:27:25 2022 reduce to 318216238 relations and 262441612 ideals in 6 passes
  97. Sun Oct 16 21:27:25 2022 max relations containing the same ideal: 134
  98. Sun Oct 16 21:29:27 2022 removing 8136552 relations and 6136552 ideals in 2000000 cliques
  99. Sun Oct 16 21:29:38 2022 commencing in-memory singleton removal
  100. Sun Oct 16 21:29:48 2022 begin with 310079686 relations and 262441612 unique ideals
  101. Sun Oct 16 21:30:20 2022 reduce to 309904739 relations and 256129025 ideals in 7 passes
  102. Sun Oct 16 21:30:20 2022 max relations containing the same ideal: 131
  103. Sun Oct 16 21:32:19 2022 removing 8048817 relations and 6048817 ideals in 2000000 cliques
  104. Sun Oct 16 21:32:30 2022 commencing in-memory singleton removal
  105. Sun Oct 16 21:32:40 2022 begin with 301855922 relations and 256129025 unique ideals
  106. Sun Oct 16 21:33:07 2022 reduce to 301679675 relations and 249902855 ideals in 6 passes
  107. Sun Oct 16 21:33:07 2022 max relations containing the same ideal: 128
  108. Sun Oct 16 21:35:02 2022 removing 7968646 relations and 5968646 ideals in 2000000 cliques
  109. Sun Oct 16 21:35:12 2022 commencing in-memory singleton removal
  110. Sun Oct 16 21:35:22 2022 begin with 293711029 relations and 249902855 unique ideals
  111. Sun Oct 16 21:35:52 2022 reduce to 293534557 relations and 243756612 ideals in 7 passes
  112. Sun Oct 16 21:35:52 2022 max relations containing the same ideal: 126
  113. Sun Oct 16 21:37:45 2022 removing 7909486 relations and 5909486 ideals in 2000000 cliques
  114. Sun Oct 16 21:37:55 2022 commencing in-memory singleton removal
  115. Sun Oct 16 21:38:04 2022 begin with 285625071 relations and 243756612 unique ideals
  116. Sun Oct 16 21:38:30 2022 reduce to 285446685 relations and 237667610 ideals in 6 passes
  117. Sun Oct 16 21:38:30 2022 max relations containing the same ideal: 126
  118. Sun Oct 16 21:40:19 2022 removing 7851197 relations and 5851197 ideals in 2000000 cliques
  119. Sun Oct 16 21:40:30 2022 commencing in-memory singleton removal
  120. Sun Oct 16 21:40:39 2022 begin with 277595488 relations and 237667610 unique ideals
  121. Sun Oct 16 21:41:04 2022 reduce to 277416331 relations and 231636027 ideals in 6 passes
  122. Sun Oct 16 21:41:04 2022 max relations containing the same ideal: 121
  123. Sun Oct 16 21:42:49 2022 removing 7807363 relations and 5807363 ideals in 2000000 cliques
  124. Sun Oct 16 21:42:59 2022 commencing in-memory singleton removal
  125. Sun Oct 16 21:43:08 2022 begin with 269608968 relations and 231636027 unique ideals
  126. Sun Oct 16 21:43:32 2022 reduce to 269426435 relations and 225644884 ideals in 6 passes
  127. Sun Oct 16 21:43:32 2022 max relations containing the same ideal: 121
  128. Sun Oct 16 21:45:14 2022 removing 7768323 relations and 5768323 ideals in 2000000 cliques
  129. Sun Oct 16 21:45:23 2022 commencing in-memory singleton removal
  130. Sun Oct 16 21:45:32 2022 begin with 261658112 relations and 225644884 unique ideals
  131. Sun Oct 16 21:45:58 2022 reduce to 261472650 relations and 219689778 ideals in 7 passes
  132. Sun Oct 16 21:45:58 2022 max relations containing the same ideal: 117
  133. Sun Oct 16 21:47:38 2022 removing 7738179 relations and 5738179 ideals in 2000000 cliques
  134. Sun Oct 16 21:47:47 2022 commencing in-memory singleton removal
  135. Sun Oct 16 21:47:55 2022 begin with 253734471 relations and 219689778 unique ideals
  136. Sun Oct 16 21:48:21 2022 reduce to 253546905 relations and 213762658 ideals in 7 passes
  137. Sun Oct 16 21:48:21 2022 max relations containing the same ideal: 114
  138. Sun Oct 16 21:49:58 2022 removing 7714738 relations and 5714738 ideals in 2000000 cliques
  139. Sun Oct 16 21:50:06 2022 commencing in-memory singleton removal
  140. Sun Oct 16 21:50:14 2022 begin with 245832167 relations and 213762658 unique ideals
  141. Sun Oct 16 21:50:39 2022 reduce to 245638715 relations and 207852953 ideals in 7 passes
  142. Sun Oct 16 21:50:39 2022 max relations containing the same ideal: 110
  143. Sun Oct 16 21:52:12 2022 removing 7698960 relations and 5698960 ideals in 2000000 cliques
  144. Sun Oct 16 21:52:20 2022 commencing in-memory singleton removal
  145. Sun Oct 16 21:52:28 2022 begin with 237939755 relations and 207852953 unique ideals
  146. Sun Oct 16 21:52:52 2022 reduce to 237741483 relations and 201954077 ideals in 7 passes
  147. Sun Oct 16 21:52:52 2022 max relations containing the same ideal: 107
  148. Sun Oct 16 21:54:23 2022 removing 7691539 relations and 5691539 ideals in 2000000 cliques
  149. Sun Oct 16 21:54:31 2022 commencing in-memory singleton removal
  150. Sun Oct 16 21:54:39 2022 begin with 230049944 relations and 201954077 unique ideals
  151. Sun Oct 16 21:55:02 2022 reduce to 229845893 relations and 196056850 ideals in 7 passes
  152. Sun Oct 16 21:55:02 2022 max relations containing the same ideal: 104
  153. Sun Oct 16 21:56:30 2022 removing 7687207 relations and 5687207 ideals in 2000000 cliques
  154. Sun Oct 16 21:56:38 2022 commencing in-memory singleton removal
  155. Sun Oct 16 21:56:45 2022 begin with 222158686 relations and 196056850 unique ideals
  156. Sun Oct 16 21:57:07 2022 reduce to 221949906 relations and 190159052 ideals in 7 passes
  157. Sun Oct 16 21:57:07 2022 max relations containing the same ideal: 100
  158. Sun Oct 16 21:58:31 2022 removing 7690931 relations and 5690931 ideals in 2000000 cliques
  159. Sun Oct 16 21:58:39 2022 commencing in-memory singleton removal
  160. Sun Oct 16 21:58:46 2022 begin with 214258975 relations and 190159052 unique ideals
  161. Sun Oct 16 21:59:05 2022 reduce to 214042719 relations and 184249971 ideals in 6 passes
  162. Sun Oct 16 21:59:05 2022 max relations containing the same ideal: 98
  163. Sun Oct 16 22:00:26 2022 removing 7698361 relations and 5698361 ideals in 2000000 cliques
  164. Sun Oct 16 22:00:33 2022 commencing in-memory singleton removal
  165. Sun Oct 16 22:00:40 2022 begin with 206344358 relations and 184249971 unique ideals
  166. Sun Oct 16 22:00:58 2022 reduce to 206120443 relations and 178325638 ideals in 6 passes
  167. Sun Oct 16 22:00:58 2022 max relations containing the same ideal: 96
  168. Sun Oct 16 22:02:17 2022 removing 7706459 relations and 5706459 ideals in 2000000 cliques
  169. Sun Oct 16 22:02:24 2022 commencing in-memory singleton removal
  170. Sun Oct 16 22:02:30 2022 begin with 198413984 relations and 178325638 unique ideals
  171. Sun Oct 16 22:02:50 2022 reduce to 198180341 relations and 172383388 ideals in 7 passes
  172. Sun Oct 16 22:02:50 2022 max relations containing the same ideal: 93
  173. Sun Oct 16 22:04:05 2022 removing 7727967 relations and 5727967 ideals in 2000000 cliques
  174. Sun Oct 16 22:04:12 2022 commencing in-memory singleton removal
  175. Sun Oct 16 22:04:18 2022 begin with 190452374 relations and 172383388 unique ideals
  176. Sun Oct 16 22:04:40 2022 reduce to 190210316 relations and 166411047 ideals in 8 passes
  177. Sun Oct 16 22:04:40 2022 max relations containing the same ideal: 91
  178. Sun Oct 16 22:05:51 2022 removing 7753293 relations and 5753293 ideals in 2000000 cliques
  179. Sun Oct 16 22:05:58 2022 commencing in-memory singleton removal
  180. Sun Oct 16 22:06:04 2022 begin with 182457023 relations and 166411047 unique ideals
  181. Sun Oct 16 22:06:22 2022 reduce to 182205450 relations and 160403759 ideals in 7 passes
  182. Sun Oct 16 22:06:22 2022 max relations containing the same ideal: 87
  183. Sun Oct 16 22:07:31 2022 removing 7784935 relations and 5784935 ideals in 2000000 cliques
  184. Sun Oct 16 22:07:37 2022 commencing in-memory singleton removal
  185. Sun Oct 16 22:07:43 2022 begin with 174420515 relations and 160403759 unique ideals
  186. Sun Oct 16 22:08:00 2022 reduce to 174157051 relations and 154352702 ideals in 7 passes
  187. Sun Oct 16 22:08:00 2022 max relations containing the same ideal: 86
  188. Sun Oct 16 22:09:06 2022 removing 7820756 relations and 5820756 ideals in 2000000 cliques
  189. Sun Oct 16 22:09:12 2022 commencing in-memory singleton removal
  190. Sun Oct 16 22:09:17 2022 begin with 166336295 relations and 154352702 unique ideals
  191. Sun Oct 16 22:09:34 2022 reduce to 166058304 relations and 148250982 ideals in 7 passes
  192. Sun Oct 16 22:09:34 2022 max relations containing the same ideal: 83
  193. Sun Oct 16 22:10:37 2022 removing 7861687 relations and 5861687 ideals in 2000000 cliques
  194. Sun Oct 16 22:10:42 2022 commencing in-memory singleton removal
  195. Sun Oct 16 22:10:47 2022 begin with 158196617 relations and 148250982 unique ideals
  196. Sun Oct 16 22:11:07 2022 reduce to 157904346 relations and 142093786 ideals in 9 passes
  197. Sun Oct 16 22:11:07 2022 max relations containing the same ideal: 80
  198. Sun Oct 16 22:12:06 2022 removing 7911826 relations and 5911826 ideals in 2000000 cliques
  199. Sun Oct 16 22:12:12 2022 commencing in-memory singleton removal
  200. Sun Oct 16 22:12:17 2022 begin with 149992520 relations and 142093786 unique ideals
  201. Sun Oct 16 22:12:33 2022 reduce to 149683117 relations and 135869014 ideals in 8 passes
  202. Sun Oct 16 22:12:33 2022 max relations containing the same ideal: 78
  203. Sun Oct 16 22:13:29 2022 removing 7973140 relations and 5973140 ideals in 2000000 cliques
  204. Sun Oct 16 22:13:35 2022 commencing in-memory singleton removal
  205. Sun Oct 16 22:13:39 2022 begin with 141709977 relations and 135869014 unique ideals
  206. Sun Oct 16 22:13:53 2022 reduce to 141378202 relations and 129560166 ideals in 7 passes
  207. Sun Oct 16 22:13:53 2022 max relations containing the same ideal: 76
  208. Sun Oct 16 22:14:45 2022 removing 8043395 relations and 6043395 ideals in 2000000 cliques
  209. Sun Oct 16 22:14:50 2022 commencing in-memory singleton removal
  210. Sun Oct 16 22:14:54 2022 begin with 133334807 relations and 129560166 unique ideals
  211. Sun Oct 16 22:15:09 2022 reduce to 132978565 relations and 123156200 ideals in 8 passes
  212. Sun Oct 16 22:15:09 2022 max relations containing the same ideal: 72
  213. Sun Oct 16 22:15:58 2022 removing 8119274 relations and 6119274 ideals in 2000000 cliques
  214. Sun Oct 16 22:16:03 2022 commencing in-memory singleton removal
  215. Sun Oct 16 22:16:07 2022 begin with 124859291 relations and 123156200 unique ideals
  216. Sun Oct 16 22:16:19 2022 reduce to 124474664 relations and 116647426 ideals in 7 passes
  217. Sun Oct 16 22:16:19 2022 max relations containing the same ideal: 69
  218. Sun Oct 16 22:17:04 2022 removing 8205209 relations and 6205209 ideals in 2000000 cliques
  219. Sun Oct 16 22:17:09 2022 commencing in-memory singleton removal
  220. Sun Oct 16 22:17:13 2022 begin with 116269455 relations and 116647426 unique ideals
  221. Sun Oct 16 22:17:25 2022 reduce to 115848748 relations and 110015873 ideals in 8 passes
  222. Sun Oct 16 22:17:25 2022 max relations containing the same ideal: 68
  223. Sun Oct 16 22:18:07 2022 removing 6309214 relations and 4881456 ideals in 1427758 cliques
  224. Sun Oct 16 22:18:12 2022 commencing in-memory singleton removal
  225. Sun Oct 16 22:18:15 2022 begin with 109539534 relations and 110015873 unique ideals
  226. Sun Oct 16 22:18:27 2022 reduce to 109279339 relations and 104871551 ideals in 8 passes
  227. Sun Oct 16 22:18:27 2022 max relations containing the same ideal: 66
  228. Sun Oct 16 22:19:18 2022 relations with 0 large ideals: 100010
  229. Sun Oct 16 22:19:18 2022 relations with 1 large ideals: 207096
  230. Sun Oct 16 22:19:18 2022 relations with 2 large ideals: 1903015
  231. Sun Oct 16 22:19:18 2022 relations with 3 large ideals: 8327257
  232. Sun Oct 16 22:19:18 2022 relations with 4 large ideals: 20169235
  233. Sun Oct 16 22:19:18 2022 relations with 5 large ideals: 29314996
  234. Sun Oct 16 22:19:18 2022 relations with 6 large ideals: 26595535
  235. Sun Oct 16 22:19:18 2022 relations with 7+ large ideals: 22662195
  236. Sun Oct 16 22:19:18 2022 commencing 2-way merge
  237. Sun Oct 16 22:20:12 2022 reduce to 67980646 relation sets and 63572858 unique ideals
  238. Sun Oct 16 22:20:12 2022 commencing full merge
  239. Sun Oct 16 22:39:34 2022 memory use: 7678.0 MB
  240. Sun Oct 16 22:39:41 2022 found 31840543 cycles, need 31299058
  241. Sun Oct 16 22:39:52 2022 weight of 31299058 cycles is about 3442996663 (110.00/cycle)
  242. Sun Oct 16 22:39:52 2022 distribution of cycle lengths:
  243. Sun Oct 16 22:39:52 2022 1 relations: 2178589
  244. Sun Oct 16 22:39:52 2022 2 relations: 2397418
  245. Sun Oct 16 22:39:52 2022 3 relations: 2563654
  246. Sun Oct 16 22:39:52 2022 4 relations: 2517048
  247. Sun Oct 16 22:39:52 2022 5 relations: 2490021
  248. Sun Oct 16 22:39:52 2022 6 relations: 2428221
  249. Sun Oct 16 22:39:52 2022 7 relations: 2320580
  250. Sun Oct 16 22:39:52 2022 8 relations: 2195961
  251. Sun Oct 16 22:39:52 2022 9 relations: 2028260
  252. Sun Oct 16 22:39:52 2022 10+ relations: 10179306
  253. Sun Oct 16 22:39:52 2022 heaviest cycle: 25 relations
  254. Sun Oct 16 22:40:09 2022 commencing cycle optimization
  255. Sun Oct 16 22:41:08 2022 start with 239569503 relations
  256. Sun Oct 16 22:48:26 2022 pruned 8540457 relations
  257. Sun Oct 16 22:48:26 2022 memory use: 6922.2 MB
  258. Sun Oct 16 22:48:26 2022 distribution of cycle lengths:
  259. Sun Oct 16 22:48:26 2022 1 relations: 2178589
  260. Sun Oct 16 22:48:26 2022 2 relations: 2453404
  261. Sun Oct 16 22:48:26 2022 3 relations: 2663291
  262. Sun Oct 16 22:48:26 2022 4 relations: 2606750
  263. Sun Oct 16 22:48:26 2022 5 relations: 2593745
  264. Sun Oct 16 22:48:26 2022 6 relations: 2519320
  265. Sun Oct 16 22:48:26 2022 7 relations: 2414953
  266. Sun Oct 16 22:48:26 2022 8 relations: 2269547
  267. Sun Oct 16 22:48:26 2022 9 relations: 2090240
  268. Sun Oct 16 22:48:26 2022 10+ relations: 9509219
  269. Sun Oct 16 22:48:26 2022 heaviest cycle: 24 relations
  270. Sun Oct 16 22:49:26 2022 RelProcTime: 12888
  271. Sun Oct 16 22:49:26 2022 elapsed time 03:34:50
  272. Sun Oct 16 22:49:42 2022
  273. Sun Oct 16 22:49:42 2022
  274. Sun Oct 16 22:49:42 2022 Msieve v. 1.54 (SVN Unversioned directory)
  275. Sun Oct 16 22:49:42 2022 random seeds: 3b4ebbad 9c1de328
  276. Sun Oct 16 22:49:42 2022 MPI process 0 of 1
  277. Sun Oct 16 22:49:42 2022 Using 32 OpenMP threads
  278. Sun Oct 16 22:49:42 2022 factoring 9971710468715814110351148007651216679159582622682355643851832775157019396153515061042801455712151259426290740102265199193399276997841938929079392542703109822983008639424109568522172072814025183662464673827789939137177028778051615306606884144921220776175789 (256 digits)
  279. Sun Oct 16 22:49:43 2022 no P-1/P+1/ECM available, skipping
  280. Sun Oct 16 22:49:43 2022 commencing number field sieve (256-digit input)
  281. Sun Oct 16 22:49:43 2022 R0: -47068900554068939361891195233676009091941690850
  282. Sun Oct 16 22:49:43 2022 R1: 29090180355503362256910111038089984964854261893
  283. Sun Oct 16 22:49:43 2022 A0: 6
  284. Sun Oct 16 22:49:43 2022 A1: -27
  285. Sun Oct 16 22:49:43 2022 A2: 45
  286. Sun Oct 16 22:49:43 2022 A3: -15
  287. Sun Oct 16 22:49:43 2022 A4: 30
  288. Sun Oct 16 22:49:43 2022 A5: 3
  289. Sun Oct 16 22:49:43 2022 A6: 4
  290. Sun Oct 16 22:49:43 2022 skew 1.14, size 8.334e-14, alpha 0.306, combined = 1.737e-14 rroots = 0
  291. Sun Oct 16 22:49:43 2022
  292. Sun Oct 16 22:49:43 2022 commencing linear algebra
  293. Sun Oct 16 22:49:43 2022 using VBITS=128
  294. Sun Oct 16 22:49:43 2022 initialized process (0,0) of 1 x 1 grid
  295. Sun Oct 16 22:49:47 2022 read 31299058 cycles
  296. Sun Oct 16 22:50:49 2022 cycles contain 106773979 unique relations
  297. Sun Oct 16 22:53:20 2022 read 106773979 relations
  298. Sun Oct 16 22:53:36 2022 using 20 quadratic characters above 4294917295
  299. Sun Oct 16 22:54:17 2022 building initial matrix
  300. Sun Oct 16 23:14:21 2022 memory use: 14050.8 MB
  301. Sun Oct 16 23:14:59 2022 read 31299058 cycles
  302. Sun Oct 16 23:15:03 2022 matrix is 31298873 x 31299058 (13731.8 MB) with weight 3945886163 (126.07/col)
  303. Sun Oct 16 23:15:03 2022 sparse part has weight 3255420550 (104.01/col)
  304. Sun Oct 16 23:21:54 2022 filtering completed in 2 passes
  305. Sun Oct 16 23:22:00 2022 matrix is 31293191 x 31293374 (13731.2 MB) with weight 3945670370 (126.09/col)
  306. Sun Oct 16 23:22:00 2022 sparse part has weight 3255329953 (104.03/col)
  307. Sun Oct 16 23:23:47 2022 matrix starts at (0, 0)
  308. Sun Oct 16 23:23:52 2022 matrix is 31293191 x 31293374 (13731.2 MB) with weight 3945670370 (126.09/col)
  309. Sun Oct 16 23:23:52 2022 sparse part has weight 3255329953 (104.03/col)
  310. Sun Oct 16 23:23:52 2022 saving the first 112 matrix rows for later
  311. Sun Oct 16 23:24:00 2022 matrix includes 128 packed rows
  312. Sun Oct 16 23:24:06 2022 matrix is 31293079 x 31293374 (12791.8 MB) with weight 3140366940 (100.35/col)
  313. Sun Oct 16 23:24:06 2022 sparse part has weight 2977761681 (95.16/col)
  314. Sun Oct 16 23:24:06 2022 using block size 8192 and superblock size 983040 for processor cache size 20480 kB
  315. Sun Oct 16 23:25:45 2022 commencing Lanczos iteration (32 threads)
  316. Sun Oct 16 23:25:45 2022 memory use: 14977.5 MB
  317. Sun Oct 16 23:48:48 2022 linear algebra at 0.1%, ETA 391h20m
  318. Sun Oct 16 23:54:44 2022 checking every 10000 dimensions, checkpointing every 80000 dimensions
  319. Mon Oct 17 08:10:24 2022
  320. Mon Oct 17 08:10:24 2022
  321. Mon Oct 17 08:10:24 2022 Msieve v. 1.54 (SVN unknown)
  322. Mon Oct 17 08:10:24 2022 random seeds: ac88ddbd d6494023
  323. Mon Oct 17 08:10:24 2022 MPI process 0 of 4
  324. Mon Oct 17 08:10:24 2022 Using 16 OpenMP threads
  325. Mon Oct 17 08:10:24 2022 factoring 9971710468715814110351148007651216679159582622682355643851832775157019396153515061042801455712151259426290740102265199193399276997841938929079392542703109822983008639424109568522172072814025183662464673827789939137177028778051615306606884144921220776175789 (256 digits)
  326. Mon Oct 17 08:10:24 2022 no P-1/P+1/ECM available, skipping
  327. Mon Oct 17 08:10:24 2022 commencing number field sieve (256-digit input)
  328. Mon Oct 17 08:10:24 2022 R0: -47068900554068939361891195233676009091941690850
  329. Mon Oct 17 08:10:24 2022 R1: 29090180355503362256910111038089984964854261893
  330. Mon Oct 17 08:10:24 2022 A0: 6
  331. Mon Oct 17 08:10:24 2022 A1: -27
  332. Mon Oct 17 08:10:24 2022 A2: 45
  333. Mon Oct 17 08:10:24 2022 A3: -15
  334. Mon Oct 17 08:10:24 2022 A4: 30
  335. Mon Oct 17 08:10:24 2022 A5: 3
  336. Mon Oct 17 08:10:24 2022 A6: 4
  337. Mon Oct 17 08:10:24 2022 skew 1.14, size 8.334e-14, alpha 0.306, combined = 1.737e-14 rroots = 0
  338. Mon Oct 17 08:10:24 2022
  339. Mon Oct 17 08:10:24 2022 commencing linear algebra
  340. Mon Oct 17 08:10:24 2022 using VBITS=256
  341. Mon Oct 17 08:10:24 2022 skipping matrix build
  342. Mon Oct 17 08:10:24 2022 initialized process (0,0) of 2 x 2 grid
  343. Mon Oct 17 08:10:40 2022 matrix starts at (0, 0)
  344. Mon Oct 17 08:10:42 2022 matrix is 15646716 x 15646657 (4027.0 MB) with weight 1228732143 (78.53/col)
  345. Mon Oct 17 08:10:42 2022 sparse part has weight 883540124 (56.47/col)
  346. Mon Oct 17 08:10:42 2022 saving the first 240 matrix rows for later
  347. Mon Oct 17 08:10:44 2022 matrix includes 256 packed rows
  348. Mon Oct 17 08:10:49 2022 matrix is 15646476 x 15646657 (3580.4 MB) with weight 744743609 (47.60/col)
  349. Mon Oct 17 08:10:49 2022 sparse part has weight 688241208 (43.99/col)
  350. Mon Oct 17 08:10:49 2022 using GPU 0 (NVIDIA A100-SXM4-40GB)
  351. Mon Oct 17 08:10:49 2022 selected card has CUDA arch 8.0
  352. Mon Oct 17 08:11:21 2022 commencing Lanczos iteration
  353. Mon Oct 17 08:11:22 2022 memory use: 8235.2 MB
  354. Mon Oct 17 08:11:39 2022 linear algebra at 0.1%, ETA 4h49m
  355. Mon Oct 17 08:12:04 2022 checking every 100000 dimensions, checkpointing every 6600000 dimensions
  356. Mon Oct 17 12:57:03 2022 lanczos halted after 122605 iterations (dim = 31292949)
  357. Mon Oct 17 12:59:46 2022 recovered 34 nontrivial dependencies
  358. Mon Oct 17 12:59:46 2022 BLanczosTime: 17362
  359. Mon Oct 17 12:59:46 2022 elapsed time 04:49:22
  360. Mon Oct 17 11:04:36 2022
  361. Mon Oct 17 11:04:36 2022
  362. Mon Oct 17 11:04:36 2022 Msieve v. 1.54 (SVN Unversioned directory)
  363. Mon Oct 17 11:04:36 2022 random seeds: 268bec3b 46bb1b99
  364. Mon Oct 17 11:04:36 2022 MPI process 0 of 1
  365. Mon Oct 17 11:04:36 2022 Using 32 OpenMP threads
  366. Mon Oct 17 11:04:36 2022 factoring 9971710468715814110351148007651216679159582622682355643851832775157019396153515061042801455712151259426290740102265199193399276997841938929079392542703109822983008639424109568522172072814025183662464673827789939137177028778051615306606884144921220776175789 (256 digits)
  367. Mon Oct 17 11:04:37 2022 no P-1/P+1/ECM available, skipping
  368. Mon Oct 17 11:04:37 2022 commencing number field sieve (256-digit input)
  369. Mon Oct 17 11:04:37 2022 R0: -47068900554068939361891195233676009091941690850
  370. Mon Oct 17 11:04:37 2022 R1: 29090180355503362256910111038089984964854261893
  371. Mon Oct 17 11:04:37 2022 A0: 6
  372. Mon Oct 17 11:04:37 2022 A1: -27
  373. Mon Oct 17 11:04:37 2022 A2: 45
  374. Mon Oct 17 11:04:37 2022 A3: -15
  375. Mon Oct 17 11:04:37 2022 A4: 30
  376. Mon Oct 17 11:04:37 2022 A5: 3
  377. Mon Oct 17 11:04:37 2022 A6: 4
  378. Mon Oct 17 11:04:37 2022 skew 1.14, size 8.334e-14, alpha 0.306, combined = 1.737e-14 rroots = 0
  379. Mon Oct 17 11:04:37 2022
  380. Mon Oct 17 11:04:37 2022 commencing square root phase
  381. Mon Oct 17 11:04:37 2022 reading relations for dependency 1
  382. Mon Oct 17 11:04:41 2022 read 15645403 cycles
  383. Mon Oct 17 11:05:09 2022 cycles contain 53386992 unique relations
  384. Mon Oct 17 11:06:58 2022 read 53386992 relations
  385. Mon Oct 17 11:11:05 2022 multiplying 53386992 relations
  386. Mon Oct 17 11:19:37 2022 multiply complete, coefficients have about 1570.58 million bits
  387. Mon Oct 17 11:19:43 2022 initial square root is modulo 11097011
  388. Mon Oct 17 11:33:05 2022 sqrtTime: 1708
  389. Mon Oct 17 11:33:05 2022 p101 factor: 18796452072876158612026927589677947395923670599227161940549789710412265791418134110648229612234828151
  390. Mon Oct 17 11:33:05 2022 p156 factor: 530510248958381351009980794373380300729837118115927968804618980879411015990422841738281630980620315499326378683917577854754616228363941487430891194860242939
  391. Mon Oct 17 11:33:05 2022 elapsed time 00:28:29
  392.  
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