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3_1749L.msieve.log

Serge_Batalov
Jun 14th, 2023
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  1. 462,589,821 Pending 9,752,349
  2.  
  3. Found 338276388 unique, 121242678 duplicate, and 4 bad relations.
  4. Largest dimension used: 1191 of 2200
  5. Average dimension used: 1032.4 of 2200
  6.  
  7. Mon Jun 12 15:57:20 2023
  8. Mon Jun 12 15:57:20 2023
  9. Mon Jun 12 15:57:20 2023 Msieve v. 1.54 (SVN unknown)
  10. Mon Jun 12 15:57:20 2023 random seeds: ee1fca7a fe3fc317
  11. Mon Jun 12 15:57:20 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits)
  12. Mon Jun 12 15:57:21 2023 no P-1/P+1/ECM available, skipping
  13. Mon Jun 12 15:57:21 2023 commencing number field sieve (239-digit input)
  14. Mon Jun 12 15:57:21 2023 R0: -19088056323407827075424486287615602692670648963
  15. Mon Jun 12 15:57:21 2023 R1: 1
  16. Mon Jun 12 15:57:21 2023 A0: 1
  17. Mon Jun 12 15:57:21 2023 A1: 0
  18. Mon Jun 12 15:57:21 2023 A2: 0
  19. Mon Jun 12 15:57:21 2023 A3: -3
  20. Mon Jun 12 15:57:21 2023 A4: 0
  21. Mon Jun 12 15:57:21 2023 A5: 0
  22. Mon Jun 12 15:57:21 2023 A6: 3
  23. Mon Jun 12 15:57:21 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0
  24. Mon Jun 12 15:57:21 2023
  25. Mon Jun 12 15:57:21 2023 commencing relation filtering
  26. Mon Jun 12 15:57:21 2023 setting target matrix density to 140.0
  27. Mon Jun 12 15:57:21 2023 estimated available RAM is 257376.4 MB
  28. Mon Jun 12 15:57:22 2023 commencing duplicate removal, pass 1
  29. Mon Jun 12 16:45:53 2023 skipped 2671 relations with b > 2^32
  30. Mon Jun 12 16:45:53 2023 skipped 1 relations with composite factors
  31. Mon Jun 12 16:45:53 2023 found 26560368 hash collisions in 344224288 relations
  32. Mon Jun 12 16:46:05 2023 added 812699 free relations
  33. Mon Jun 12 16:46:05 2023 commencing duplicate removal, pass 2
  34. Mon Jun 12 16:51:52 2023 found 2336827 duplicates and 342700160 unique relations
  35. Mon Jun 12 16:51:52 2023 memory use: 1257.5 MB
  36. Mon Jun 12 16:51:52 2023 reading ideals above 720000
  37. Mon Jun 12 16:51:52 2023 commencing singleton removal, initial pass
  38. Mon Jun 12 17:41:33 2023 memory use: 11024.0 MB
  39. Mon Jun 12 17:41:34 2023 reading all ideals from disk
  40. Mon Jun 12 17:42:52 2023 memory use: 14654.4 MB
  41. Mon Jun 12 17:43:40 2023 keeping 338839471 ideals with weight <= 200, target excess is 1759082
  42. Mon Jun 12 17:44:41 2023 commencing in-memory singleton removal
  43. Mon Jun 12 17:45:14 2023 begin with 342700160 relations and 338839471 unique ideals
  44. Mon Jun 12 17:51:53 2023 reduce to 203077632 relations and 183511448 ideals in 17 passes
  45. Mon Jun 12 17:51:53 2023 max relations containing the same ideal: 154
  46. Mon Jun 12 17:53:39 2023 removing 15864701 relations and 13864701 ideals in 2000000 cliques
  47. Mon Jun 12 17:53:49 2023 commencing in-memory singleton removal
  48. Mon Jun 12 17:54:07 2023 begin with 187212931 relations and 183511448 unique ideals
  49. Mon Jun 12 17:57:23 2023 reduce to 186128031 relations and 168546613 ideals in 9 passes
  50. Mon Jun 12 17:57:23 2023 max relations containing the same ideal: 143
  51. Mon Jun 12 17:59:43 2023 removing 11944099 relations and 9944099 ideals in 2000000 cliques
  52. Mon Jun 12 17:59:55 2023 commencing in-memory singleton removal
  53. Mon Jun 12 18:00:16 2023 begin with 174183932 relations and 168546613 unique ideals
  54. Mon Jun 12 18:04:14 2023 reduce to 173497560 relations and 157908272 ideals in 10 passes
  55. Mon Jun 12 18:04:14 2023 max relations containing the same ideal: 139
  56. Mon Jun 12 18:05:52 2023 removing 10744527 relations and 8744527 ideals in 2000000 cliques
  57. Mon Jun 12 18:06:01 2023 commencing in-memory singleton removal
  58. Mon Jun 12 18:06:16 2023 begin with 162753033 relations and 157908272 unique ideals
  59. Mon Jun 12 18:08:50 2023 reduce to 162154785 relations and 148558718 ideals in 9 passes
  60. Mon Jun 12 18:08:50 2023 max relations containing the same ideal: 131
  61. Mon Jun 12 18:10:15 2023 removing 10132382 relations and 8132382 ideals in 2000000 cliques
  62. Mon Jun 12 18:10:23 2023 commencing in-memory singleton removal
  63. Mon Jun 12 18:10:38 2023 begin with 152022403 relations and 148558718 unique ideals
  64. Mon Jun 12 18:13:42 2023 reduce to 151456911 relations and 139854005 ideals in 9 passes
  65. Mon Jun 12 18:13:42 2023 max relations containing the same ideal: 124
  66. Mon Jun 12 18:15:25 2023 removing 9750672 relations and 7750672 ideals in 2000000 cliques
  67. Mon Jun 12 18:15:33 2023 commencing in-memory singleton removal
  68. Mon Jun 12 18:15:47 2023 begin with 141706239 relations and 139854005 unique ideals
  69. Mon Jun 12 18:17:37 2023 reduce to 141146565 relations and 131536892 ideals in 8 passes
  70. Mon Jun 12 18:17:37 2023 max relations containing the same ideal: 120
  71. Mon Jun 12 18:18:46 2023 removing 9522016 relations and 7522016 ideals in 2000000 cliques
  72. Mon Jun 12 18:18:54 2023 commencing in-memory singleton removal
  73. Mon Jun 12 18:19:05 2023 begin with 131624549 relations and 131536892 unique ideals
  74. Mon Jun 12 18:21:10 2023 reduce to 131056556 relations and 123439559 ideals in 8 passes
  75. Mon Jun 12 18:21:10 2023 max relations containing the same ideal: 113
  76. Mon Jun 12 18:22:39 2023 removing 9378273 relations and 7378273 ideals in 2000000 cliques
  77. Mon Jun 12 18:22:46 2023 commencing in-memory singleton removal
  78. Mon Jun 12 18:22:58 2023 begin with 121678283 relations and 123439559 unique ideals
  79. Mon Jun 12 18:25:17 2023 reduce to 121085916 relations and 115460958 ideals in 9 passes
  80. Mon Jun 12 18:25:17 2023 max relations containing the same ideal: 109
  81. Mon Jun 12 18:26:40 2023 removing 9293114 relations and 7293114 ideals in 2000000 cliques
  82. Mon Jun 12 18:26:47 2023 commencing in-memory singleton removal
  83. Mon Jun 12 18:26:58 2023 begin with 111792802 relations and 115460958 unique ideals
  84. Mon Jun 12 18:29:01 2023 reduce to 111165708 relations and 107531511 ideals in 9 passes
  85. Mon Jun 12 18:29:01 2023 max relations containing the same ideal: 101
  86. Mon Jun 12 18:30:17 2023 removing 7733019 relations and 6139358 ideals in 1593661 cliques
  87. Mon Jun 12 18:30:23 2023 commencing in-memory singleton removal
  88. Mon Jun 12 18:30:33 2023 begin with 103432689 relations and 107531511 unique ideals
  89. Mon Jun 12 18:32:02 2023 reduce to 102974643 relations and 100928125 ideals in 8 passes
  90. Mon Jun 12 18:32:02 2023 max relations containing the same ideal: 95
  91. Mon Jun 12 18:33:16 2023 relations with 0 large ideals: 44932
  92. Mon Jun 12 18:33:16 2023 relations with 1 large ideals: 26134
  93. Mon Jun 12 18:33:16 2023 relations with 2 large ideals: 370685
  94. Mon Jun 12 18:33:16 2023 relations with 3 large ideals: 2432517
  95. Mon Jun 12 18:33:16 2023 relations with 4 large ideals: 8812106
  96. Mon Jun 12 18:33:16 2023 relations with 5 large ideals: 19436563
  97. Mon Jun 12 18:33:16 2023 relations with 6 large ideals: 27140860
  98. Mon Jun 12 18:33:16 2023 relations with 7+ large ideals: 44710846
  99. Mon Jun 12 18:33:16 2023 commencing 2-way merge
  100. Mon Jun 12 18:34:33 2023 reduce to 64884886 relation sets and 62838368 unique ideals
  101. Mon Jun 12 18:34:33 2023 commencing full merge
  102. Mon Jun 12 19:30:03 2023 memory use: 2920.1 MB
  103. Mon Jun 12 19:30:03 2023 found 356811 cycles, need 13974282
  104. Mon Jun 12 19:30:03 2023 too few cycles, matrix probably cannot build
  105. Mon Jun 12 19:30:03 2023 filtering wants 1000000 more relations
  106. Mon Jun 12 19:30:03 2023 elapsed time 03:32:43
  107. Mon Jun 12 21:23:47 2023
  108. Mon Jun 12 21:23:47 2023
  109. Mon Jun 12 21:23:47 2023 Msieve v. 1.54 (SVN unknown)
  110. Mon Jun 12 21:23:47 2023 random seeds: 61d2870b d9bf1b3c
  111. Mon Jun 12 21:23:47 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits)
  112. Mon Jun 12 21:23:48 2023 no P-1/P+1/ECM available, skipping
  113. Mon Jun 12 21:23:48 2023 commencing number field sieve (239-digit input)
  114. Mon Jun 12 21:23:48 2023 R0: -19088056323407827075424486287615602692670648963
  115. Mon Jun 12 21:23:48 2023 R1: 1
  116. Mon Jun 12 21:23:48 2023 A0: 1
  117. Mon Jun 12 21:23:48 2023 A1: 0
  118. Mon Jun 12 21:23:48 2023 A2: 0
  119. Mon Jun 12 21:23:48 2023 A3: -3
  120. Mon Jun 12 21:23:48 2023 A4: 0
  121. Mon Jun 12 21:23:48 2023 A5: 0
  122. Mon Jun 12 21:23:48 2023 A6: 3
  123. Mon Jun 12 21:23:48 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0
  124. Mon Jun 12 21:23:48 2023
  125. Mon Jun 12 21:23:48 2023 commencing relation filtering
  126. Mon Jun 12 21:23:48 2023 setting target matrix density to 130.0
  127. Mon Jun 12 21:23:48 2023 estimated available RAM is 257376.4 MB
  128. Mon Jun 12 21:23:50 2023 commencing duplicate removal, pass 1
  129. Mon Jun 12 22:13:22 2023 skipped 2673 relations with b > 2^32
  130. Mon Jun 12 22:13:22 2023 skipped 4 relations with composite factors
  131. Mon Jun 12 22:13:22 2023 found 27002419 hash collisions in 345804807 relations
  132. Mon Jun 12 22:13:31 2023 commencing duplicate removal, pass 2
  133. Mon Jun 12 22:20:05 2023 found 2650728 duplicates and 343154079 unique relations
  134. Mon Jun 12 22:20:05 2023 memory use: 1321.5 MB
  135. Mon Jun 12 22:20:05 2023 reading ideals above 720000
  136. Mon Jun 12 22:20:05 2023 commencing singleton removal, initial pass
  137. Mon Jun 12 23:10:36 2023 memory use: 11024.0 MB
  138. Mon Jun 12 23:10:36 2023 reading all ideals from disk
  139. Mon Jun 12 23:11:56 2023 memory use: 14674.0 MB
  140. Mon Jun 12 23:12:52 2023 keeping 338967147 ideals with weight <= 200, target excess is 1761566
  141. Mon Jun 12 23:14:07 2023 commencing in-memory singleton removal
  142. Mon Jun 12 23:14:46 2023 begin with 343154079 relations and 338967147 unique ideals
  143. Mon Jun 12 23:24:01 2023 reduce to 203762172 relations and 183931727 ideals in 17 passes
  144. Mon Jun 12 23:24:01 2023 max relations containing the same ideal: 154
  145. Mon Jun 12 23:25:50 2023 removing 15829908 relations and 13829908 ideals in 2000000 cliques
  146. Mon Jun 12 23:25:59 2023 commencing in-memory singleton removal
  147. Mon Jun 12 23:26:15 2023 begin with 187932264 relations and 183931727 unique ideals
  148. Mon Jun 12 23:29:33 2023 reduce to 186857095 relations and 169011651 ideals in 9 passes
  149. Mon Jun 12 23:29:33 2023 max relations containing the same ideal: 143
  150. Mon Jun 12 23:31:08 2023 removing 11916166 relations and 9916166 ideals in 2000000 cliques
  151. Mon Jun 12 23:31:15 2023 commencing in-memory singleton removal
  152. Mon Jun 12 23:31:31 2023 begin with 174940929 relations and 169011651 unique ideals
  153. Mon Jun 12 23:34:40 2023 reduce to 174260904 relations and 158407595 ideals in 10 passes
  154. Mon Jun 12 23:34:40 2023 max relations containing the same ideal: 139
  155. Mon Jun 12 23:36:01 2023 removing 10718507 relations and 8718507 ideals in 2000000 cliques
  156. Mon Jun 12 23:36:08 2023 commencing in-memory singleton removal
  157. Mon Jun 12 23:36:20 2023 begin with 163542397 relations and 158407595 unique ideals
  158. Mon Jun 12 23:38:39 2023 reduce to 162949585 relations and 149089524 ideals in 9 passes
  159. Mon Jun 12 23:38:39 2023 max relations containing the same ideal: 132
  160. Mon Jun 12 23:40:07 2023 removing 10107675 relations and 8107675 ideals in 2000000 cliques
  161. Mon Jun 12 23:40:16 2023 commencing in-memory singleton removal
  162. Mon Jun 12 23:40:33 2023 begin with 152841910 relations and 149089524 unique ideals
  163. Mon Jun 12 23:42:57 2023 reduce to 152282517 relations and 140415746 ideals in 9 passes
  164. Mon Jun 12 23:42:57 2023 max relations containing the same ideal: 125
  165. Mon Jun 12 23:44:14 2023 removing 9726581 relations and 7726581 ideals in 2000000 cliques
  166. Mon Jun 12 23:44:20 2023 commencing in-memory singleton removal
  167. Mon Jun 12 23:44:32 2023 begin with 142555936 relations and 140415746 unique ideals
  168. Mon Jun 12 23:46:38 2023 reduce to 142003532 relations and 132130011 ideals in 9 passes
  169. Mon Jun 12 23:46:39 2023 max relations containing the same ideal: 120
  170. Mon Jun 12 23:47:48 2023 removing 9496386 relations and 7496386 ideals in 2000000 cliques
  171. Mon Jun 12 23:47:54 2023 commencing in-memory singleton removal
  172. Mon Jun 12 23:48:05 2023 begin with 132507146 relations and 132130011 unique ideals
  173. Mon Jun 12 23:49:52 2023 reduce to 131945428 relations and 124064730 ideals in 8 passes
  174. Mon Jun 12 23:49:52 2023 max relations containing the same ideal: 113
  175. Mon Jun 12 23:50:54 2023 removing 9349566 relations and 7349566 ideals in 2000000 cliques
  176. Mon Jun 12 23:51:00 2023 commencing in-memory singleton removal
  177. Mon Jun 12 23:51:10 2023 begin with 122595862 relations and 124064730 unique ideals
  178. Mon Jun 12 23:52:44 2023 reduce to 122011785 relations and 116123298 ideals in 8 passes
  179. Mon Jun 12 23:52:44 2023 max relations containing the same ideal: 109
  180. Mon Jun 12 23:53:40 2023 removing 9266022 relations and 7266022 ideals in 2000000 cliques
  181. Mon Jun 12 23:53:45 2023 commencing in-memory singleton removal
  182. Mon Jun 12 23:53:54 2023 begin with 112745763 relations and 116123298 unique ideals
  183. Mon Jun 12 23:55:19 2023 reduce to 112128064 relations and 108230560 ideals in 8 passes
  184. Mon Jun 12 23:55:19 2023 max relations containing the same ideal: 102
  185. Mon Jun 12 23:56:13 2023 removing 8701237 relations and 6847150 ideals in 1854087 cliques
  186. Mon Jun 12 23:56:18 2023 commencing in-memory singleton removal
  187. Mon Jun 12 23:56:26 2023 begin with 103426827 relations and 108230560 unique ideals
  188. Mon Jun 12 23:58:04 2023 reduce to 102842653 relations and 100790700 ideals in 9 passes
  189. Mon Jun 12 23:58:04 2023 max relations containing the same ideal: 96
  190. Mon Jun 12 23:58:54 2023 removing 89030 relations and 80494 ideals in 8536 cliques
  191. Mon Jun 12 23:58:58 2023 commencing in-memory singleton removal
  192. Mon Jun 12 23:59:06 2023 begin with 102753623 relations and 100790700 unique ideals
  193. Mon Jun 12 23:59:42 2023 reduce to 102753555 relations and 100710138 ideals in 4 passes
  194. Mon Jun 12 23:59:42 2023 max relations containing the same ideal: 96
  195. Tue Jun 13 00:00:03 2023 relations with 0 large ideals: 44986
  196. Tue Jun 13 00:00:03 2023 relations with 1 large ideals: 26249
  197. Tue Jun 13 00:00:03 2023 relations with 2 large ideals: 372230
  198. Tue Jun 13 00:00:03 2023 relations with 3 large ideals: 2439701
  199. Tue Jun 13 00:00:03 2023 relations with 4 large ideals: 8825290
  200. Tue Jun 13 00:00:03 2023 relations with 5 large ideals: 19435184
  201. Tue Jun 13 00:00:03 2023 relations with 6 large ideals: 27094667
  202. Tue Jun 13 00:00:03 2023 relations with 7+ large ideals: 44515248
  203. Tue Jun 13 00:00:03 2023 commencing 2-way merge
  204. Tue Jun 13 00:01:14 2023 reduce to 64732817 relation sets and 62689400 unique ideals
  205. Tue Jun 13 00:01:14 2023 commencing full merge
  206. Tue Jun 13 00:57:08 2023 memory use: 2913.1 MB
  207. Tue Jun 13 00:57:08 2023 found 353749 cycles, need 13946475
  208. Tue Jun 13 00:57:08 2023 too few cycles, matrix probably cannot build
  209. Tue Jun 13 00:57:08 2023 filtering wants 1000000 more relations
  210. Tue Jun 13 00:57:08 2023 elapsed time 03:33:21
  211. Tue Jun 13 01:12:51 2023
  212. Tue Jun 13 01:12:51 2023
  213. Tue Jun 13 01:12:51 2023 Msieve v. 1.54 (SVN unknown)
  214. Tue Jun 13 01:12:51 2023 random seeds: 948748d0 cc3a03ba
  215. Tue Jun 13 01:12:51 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits)
  216. Tue Jun 13 01:12:52 2023 no P-1/P+1/ECM available, skipping
  217. Tue Jun 13 01:12:52 2023 commencing number field sieve (239-digit input)
  218. Tue Jun 13 01:12:52 2023 R0: -19088056323407827075424486287615602692670648963
  219. Tue Jun 13 01:12:52 2023 R1: 1
  220. Tue Jun 13 01:12:52 2023 A0: 1
  221. Tue Jun 13 01:12:52 2023 A1: 0
  222. Tue Jun 13 01:12:52 2023 A2: 0
  223. Tue Jun 13 01:12:52 2023 A3: -3
  224. Tue Jun 13 01:12:52 2023 A4: 0
  225. Tue Jun 13 01:12:52 2023 A5: 0
  226. Tue Jun 13 01:12:52 2023 A6: 3
  227. Tue Jun 13 01:12:52 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0
  228. Tue Jun 13 01:12:52 2023
  229. Tue Jun 13 01:12:52 2023 commencing relation filtering
  230. Tue Jun 13 01:12:52 2023 setting target matrix density to 115.0
  231. Tue Jun 13 01:12:52 2023 estimated available RAM is 257376.4 MB
  232. Tue Jun 13 01:12:54 2023 commencing duplicate removal, pass 1
  233. Tue Jun 13 02:00:05 2023 skipped 2676 relations with b > 2^32
  234. Tue Jun 13 02:00:05 2023 skipped 8 relations with composite factors
  235. Tue Jun 13 02:00:05 2023 found 27664437 hash collisions in 347086081 relations
  236. Tue Jun 13 02:00:13 2023 commencing duplicate removal, pass 2
  237. Tue Jun 13 02:07:26 2023 found 3638621 duplicates and 343447460 unique relations
  238. Tue Jun 13 02:07:26 2023 memory use: 1321.5 MB
  239. Tue Jun 13 02:07:26 2023 reading ideals above 720000
  240. Tue Jun 13 02:07:26 2023 commencing singleton removal, initial pass
  241. Tue Jun 13 03:00:14 2023 memory use: 11024.0 MB
  242. Tue Jun 13 03:00:14 2023 reading all ideals from disk
  243. Tue Jun 13 03:01:37 2023 memory use: 14686.6 MB
  244. Tue Jun 13 03:02:24 2023 keeping 339049776 ideals with weight <= 200, target excess is 1763166
  245. Tue Jun 13 03:03:25 2023 commencing in-memory singleton removal
  246. Tue Jun 13 03:04:03 2023 begin with 343447460 relations and 339049776 unique ideals
  247. Tue Jun 13 03:10:16 2023 reduce to 204201852 relations and 184200248 ideals in 17 passes
  248. Tue Jun 13 03:10:16 2023 max relations containing the same ideal: 156
  249. Tue Jun 13 03:12:17 2023 removing 15805320 relations and 13805320 ideals in 2000000 cliques
  250. Tue Jun 13 03:12:27 2023 commencing in-memory singleton removal
  251. Tue Jun 13 03:12:46 2023 begin with 188396532 relations and 184200248 unique ideals
  252. Tue Jun 13 03:16:03 2023 reduce to 187327583 relations and 169311107 ideals in 9 passes
  253. Tue Jun 13 03:16:03 2023 max relations containing the same ideal: 144
  254. Tue Jun 13 03:17:56 2023 removing 11898908 relations and 9898908 ideals in 2000000 cliques
  255. Tue Jun 13 03:18:04 2023 commencing in-memory singleton removal
  256. Tue Jun 13 03:18:22 2023 begin with 175428675 relations and 169311107 unique ideals
  257. Tue Jun 13 03:21:45 2023 reduce to 174753815 relations and 158729553 ideals in 10 passes
  258. Tue Jun 13 03:21:45 2023 max relations containing the same ideal: 141
  259. Tue Jun 13 03:23:25 2023 removing 10702458 relations and 8702458 ideals in 2000000 cliques
  260. Tue Jun 13 03:23:33 2023 commencing in-memory singleton removal
  261. Tue Jun 13 03:23:50 2023 begin with 164051357 relations and 158729553 unique ideals
  262. Tue Jun 13 03:26:35 2023 reduce to 163462497 relations and 149431503 ideals in 9 passes
  263. Tue Jun 13 03:26:35 2023 max relations containing the same ideal: 133
  264. Tue Jun 13 03:27:50 2023 removing 10091197 relations and 8091197 ideals in 2000000 cliques
  265. Tue Jun 13 03:27:56 2023 commencing in-memory singleton removal
  266. Tue Jun 13 03:28:08 2023 begin with 153371300 relations and 149431503 unique ideals
  267. Tue Jun 13 03:30:21 2023 reduce to 152815258 relations and 140777640 ideals in 9 passes
  268. Tue Jun 13 03:30:21 2023 max relations containing the same ideal: 128
  269. Tue Jun 13 03:31:59 2023 removing 9709856 relations and 7709856 ideals in 2000000 cliques
  270. Tue Jun 13 03:32:08 2023 commencing in-memory singleton removal
  271. Tue Jun 13 03:32:22 2023 begin with 143105402 relations and 140777640 unique ideals
  272. Tue Jun 13 03:34:58 2023 reduce to 142556987 relations and 132512687 ideals in 8 passes
  273. Tue Jun 13 03:34:58 2023 max relations containing the same ideal: 120
  274. Tue Jun 13 03:36:36 2023 removing 9479807 relations and 7479807 ideals in 2000000 cliques
  275. Tue Jun 13 03:36:44 2023 commencing in-memory singleton removal
  276. Tue Jun 13 03:36:57 2023 begin with 133077180 relations and 132512687 unique ideals
  277. Tue Jun 13 03:39:18 2023 reduce to 132519612 relations and 124468269 ideals in 8 passes
  278. Tue Jun 13 03:39:18 2023 max relations containing the same ideal: 114
  279. Tue Jun 13 03:40:47 2023 removing 9332259 relations and 7332259 ideals in 2000000 cliques
  280. Tue Jun 13 03:40:54 2023 commencing in-memory singleton removal
  281. Tue Jun 13 03:41:06 2023 begin with 123187353 relations and 124468269 unique ideals
  282. Tue Jun 13 03:43:16 2023 reduce to 122607700 relations and 116548593 ideals in 8 passes
  283. Tue Jun 13 03:43:16 2023 max relations containing the same ideal: 111
  284. Tue Jun 13 03:44:41 2023 removing 9246672 relations and 7246672 ideals in 2000000 cliques
  285. Tue Jun 13 03:44:48 2023 commencing in-memory singleton removal
  286. Tue Jun 13 03:44:59 2023 begin with 113361028 relations and 116548593 unique ideals
  287. Tue Jun 13 03:46:34 2023 reduce to 112750474 relations and 108682541 ideals in 8 passes
  288. Tue Jun 13 03:46:34 2023 max relations containing the same ideal: 103
  289. Tue Jun 13 03:47:34 2023 removing 9229080 relations and 7229080 ideals in 2000000 cliques
  290. Tue Jun 13 03:47:40 2023 commencing in-memory singleton removal
  291. Tue Jun 13 03:47:50 2023 begin with 103521394 relations and 108682541 unique ideals
  292. Tue Jun 13 03:49:28 2023 reduce to 102860194 relations and 100781934 ideals in 10 passes
  293. Tue Jun 13 03:49:28 2023 max relations containing the same ideal: 97
  294. Tue Jun 13 03:50:16 2023 removing 297198 relations and 264211 ideals in 32987 cliques
  295. Tue Jun 13 03:50:19 2023 commencing in-memory singleton removal
  296. Tue Jun 13 03:50:27 2023 begin with 102562996 relations and 100781934 unique ideals
  297. Tue Jun 13 03:51:13 2023 reduce to 102562508 relations and 100517234 ideals in 5 passes
  298. Tue Jun 13 03:51:13 2023 max relations containing the same ideal: 95
  299. Tue Jun 13 03:51:33 2023 relations with 0 large ideals: 45029
  300. Tue Jun 13 03:51:33 2023 relations with 1 large ideals: 26368
  301. Tue Jun 13 03:51:33 2023 relations with 2 large ideals: 373214
  302. Tue Jun 13 03:51:33 2023 relations with 3 large ideals: 2443753
  303. Tue Jun 13 03:51:33 2023 relations with 4 large ideals: 8831570
  304. Tue Jun 13 03:51:33 2023 relations with 5 large ideals: 19426150
  305. Tue Jun 13 03:51:33 2023 relations with 6 large ideals: 27050755
  306. Tue Jun 13 03:51:33 2023 relations with 7+ large ideals: 44365669
  307. Tue Jun 13 03:51:33 2023 commencing 2-way merge
  308. Tue Jun 13 03:52:44 2023 reduce to 64618113 relation sets and 62572839 unique ideals
  309. Tue Jun 13 03:52:45 2023 commencing full merge
  310. Tue Jun 13 04:21:19 2023 memory use: 7807.8 MB
  311. Tue Jun 13 04:21:24 2023 found 29062644 cycles, need 28979039
  312. Tue Jun 13 04:21:33 2023 weight of 28979039 cycles is about 3332891686 (115.01/cycle)
  313. Tue Jun 13 04:21:33 2023 distribution of cycle lengths:
  314. Tue Jun 13 04:21:33 2023 1 relations: 2352950
  315. Tue Jun 13 04:21:33 2023 2 relations: 2363334
  316. Tue Jun 13 04:21:33 2023 3 relations: 2383383
  317. Tue Jun 13 04:21:33 2023 4 relations: 2250873
  318. Tue Jun 13 04:21:33 2023 5 relations: 2148310
  319. Tue Jun 13 04:21:33 2023 6 relations: 2035204
  320. Tue Jun 13 04:21:33 2023 7 relations: 1888890
  321. Tue Jun 13 04:21:33 2023 8 relations: 1767630
  322. Tue Jun 13 04:21:33 2023 9 relations: 1624701
  323. Tue Jun 13 04:21:33 2023 10+ relations: 10163764
  324. Tue Jun 13 04:21:33 2023 heaviest cycle: 28 relations
  325. Tue Jun 13 04:21:41 2023 commencing cycle optimization
  326. Tue Jun 13 04:22:35 2023 start with 235933856 relations
  327. Tue Jun 13 04:30:46 2023 pruned 8877471 relations
  328. Tue Jun 13 04:30:46 2023 memory use: 6619.4 MB
  329. Tue Jun 13 04:30:46 2023 distribution of cycle lengths:
  330. Tue Jun 13 04:30:46 2023 1 relations: 2352950
  331. Tue Jun 13 04:30:46 2023 2 relations: 2421647
  332. Tue Jun 13 04:30:46 2023 3 relations: 2479545
  333. Tue Jun 13 04:30:46 2023 4 relations: 2330933
  334. Tue Jun 13 04:30:46 2023 5 relations: 2235808
  335. Tue Jun 13 04:30:46 2023 6 relations: 2104182
  336. Tue Jun 13 04:30:46 2023 7 relations: 1957414
  337. Tue Jun 13 04:30:46 2023 8 relations: 1816241
  338. Tue Jun 13 04:30:46 2023 9 relations: 1665420
  339. Tue Jun 13 04:30:46 2023 10+ relations: 9614899
  340. Tue Jun 13 04:30:46 2023 heaviest cycle: 28 relations
  341. Tue Jun 13 04:32:19 2023 RelProcTime: 11967
  342. Tue Jun 13 04:32:19 2023 elapsed time 03:19:28
  343. Tue Jun 13 11:47:19 2023
  344. Tue Jun 13 11:47:19 2023
  345. Tue Jun 13 11:47:19 2023 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  346. Tue Jun 13 11:47:19 2023 random seeds: 1b8811d1 0d77f269
  347. Tue Jun 13 11:47:19 2023 MPI process 0 of 4
  348. Tue Jun 13 11:47:19 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits)
  349. Tue Jun 13 11:47:21 2023 no P-1/P+1/ECM available, skipping
  350. Tue Jun 13 11:47:21 2023 commencing number field sieve (239-digit input)
  351. Tue Jun 13 11:47:21 2023 R0: -19088056323407827075424486287615602692670648963
  352. Tue Jun 13 11:47:21 2023 R1: 1
  353. Tue Jun 13 11:47:21 2023 A0: 1
  354. Tue Jun 13 11:47:21 2023 A1: 0
  355. Tue Jun 13 11:47:22 2023 A2: 0
  356. Tue Jun 13 11:47:22 2023 A3: -3
  357. Tue Jun 13 11:47:22 2023 A4: 0
  358. Tue Jun 13 11:47:22 2023 A5: 0
  359. Tue Jun 13 11:47:22 2023 A6: 3
  360. Tue Jun 13 11:47:22 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0
  361. Tue Jun 13 11:47:22 2023
  362. Tue Jun 13 11:47:22 2023 commencing linear algebra
  363. Tue Jun 13 11:47:22 2023 using VBITS=256
  364. Tue Jun 13 11:47:22 2023 initialized process (0,0) of 2 x 2 grid
  365. Tue Jun 13 11:47:45 2023 read 28979039 cycles
  366. Tue Jun 13 11:50:19 2023 cycles contain 101139516 unique relations
  367. Tue Jun 13 12:15:58 2023 read 101139516 relations
  368. Tue Jun 13 12:21:20 2023 using 20 quadratic characters above 4294917295
  369. Tue Jun 13 12:33:14 2023 building initial matrix
  370. Tue Jun 13 13:53:05 2023 memory use: 13265.0 MB
  371. Tue Jun 13 13:54:52 2023 read 28979039 cycles
  372. Tue Jun 13 13:54:57 2023 matrix is 28978861 x 28979039 (13227.4 MB) with weight 3796236827 (131.00/col)
  373. Tue Jun 13 13:54:57 2023 sparse part has weight 3148713414 (108.65/col)
  374. Tue Jun 13 14:06:52 2023 filtering completed in 2 passes
  375. Tue Jun 13 14:06:59 2023 matrix is 28976861 x 28977035 (13227.2 MB) with weight 3796165487 (131.01/col)
  376. Tue Jun 13 14:06:59 2023 sparse part has weight 3148689072 (108.66/col)
  377. Tue Jun 13 14:33:09 2023 matrix starts at (0, 0)
  378. Tue Jun 13 14:33:11 2023 matrix is 14488551 x 14488539 (3855.7 MB) with weight 1175096120 (81.11/col)
  379. Tue Jun 13 14:33:11 2023 sparse part has weight 851369920 (58.76/col)
  380. Tue Jun 13 14:33:11 2023 saving the first 240 matrix rows for later
  381. Tue Jun 13 14:33:21 2023 matrix includes 256 packed rows
  382. Tue Jun 13 14:33:31 2023 matrix is 14488311 x 14488539 (3434.6 MB) with weight 723562051 (49.94/col)
  383. Tue Jun 13 14:33:31 2023 sparse part has weight 668544395 (46.14/col)
  384. Tue Jun 13 14:33:31 2023 using block size 8192 and superblock size 1105920 for processor cache size 46080 kB
  385. Tue Jun 13 14:34:00 2023 commencing Lanczos iteration
  386. Tue Jun 13 14:34:00 2023 memory use: 5131.4 MB
  387.  
  388. # mpirun -np 4 ./msieve -ncr "2,2" -g 4 -nf $z.fb -i $z.ini -s $z.dat -v &
  389. Using CUDA-Aware MPI
  390. Msieve v. 1.54 (SVN Unversioned directory)
  391. Wed Jun 14 09:56:56 2023
  392. random seeds: 733db1b4 abd51d4b
  393. commencing linear algebra
  394. using VBITS=256
  395. R0: -19088056323407827075424486287615602692670648963
  396. R1: 1
  397. A0: 1
  398. A1: 0
  399. A2: 0
  400. A3: -3
  401. A4: 0
  402. A5: 0
  403. A6: 3
  404. skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0
  405.  
  406. commencing linear algebra
  407. using VBITS=256
  408. initialized process (0,0) of 2 x 2 grid
  409. initialized process (1,0) of 2 x 2 grid
  410. initialized process (0,1) of 2 x 2 grid
  411. initialized process (1,1) of 2 x 2 grid
  412. matrix starts at (0, 0)
  413. matrix starts at (14488551, 0)
  414. matrix is 14488310 x 14488539 (3200.1 MB) with weight 722974799 (49.90/col)
  415. sparse part has weight 722974799 (49.90/col)
  416. matrix starts at (0, 14488539)
  417. matrix starts at (14488551, 14488539)
  418. matrix is 14488310 x 14488496 (3200.0 MB) with weight 722962959 (49.90/col)
  419. sparse part has weight 722962959 (49.90/col)
  420. matrix is 14488551 x 14488539 (3855.7 MB) with weight 1175096120 (81.11/col)
  421. sparse part has weight 851369920 (58.76/col)
  422. saving the first 240 matrix rows for later
  423. matrix is 14488551 x 14488496 (3855.7 MB) with weight 1175131609 (81.11/col)
  424. sparse part has weight 851381394 (58.76/col)
  425. saving the first 240 matrix rows for later
  426. matrix includes 256 packed rows
  427. matrix includes 256 packed rows
  428. matrix is 14488310 x 14488496 (3200.0 MB) with weight 722962959 (49.90/col)
  429. sparse part has weight 722962959 (49.90/col)
  430. using GPU 3 (NVIDIA A10G)
  431. selected card has CUDA arch 8.6
  432. matrix is 14488310 x 14488539 (3200.1 MB) with weight 722974799 (49.90/col)
  433. sparse part has weight 722974799 (49.90/col)
  434. using GPU 2 (NVIDIA A10G)
  435. selected card has CUDA arch 8.6
  436. Nonzeros per block: 1750000000
  437. converting matrix to CSR and copying it onto the GPU
  438. Nonzeros per block: 1750000000
  439. converting matrix to CSR and copying it onto the GPU
  440. matrix is 14488311 x 14488539 (3434.6 MB) with weight 723562051 (49.94/col)
  441. sparse part has weight 668544395 (46.14/col)
  442. matrix is 14488311 x 14488496 (3434.6 MB) with weight 723591722 (49.94/col)
  443. using GPU 0 (NVIDIA A10G)
  444. sparse part has weight 668556272 (46.14/col)
  445. selected card has CUDA arch 8.6
  446. using GPU 1 (NVIDIA A10G)
  447. selected card has CUDA arch 8.6
  448. Nonzeros per block: 1750000000
  449. Nonzeros per block: 1750000000
  450. converting matrix to CSR and copying it onto the GPU
  451. converting matrix to CSR and copying it onto the GPU
  452. 668556272 14488311 14488496
  453. 668544395 14488311 14488539
  454. 722962959 14488310 14488496
  455. 722974799 14488310 14488539
  456. 722962959 14488496 14488310
  457. commencing Lanczos iteration
  458. 722974799 14488539 14488310
  459. vector memory use: 2210.8 MB
  460. dense rows memory use: 0.0 MB
  461. sparse matrix memory use: 5626.3 MB
  462. memory use: 7837.1 MB
  463. commencing Lanczos iteration
  464. vector memory use: 2210.8 MB
  465. dense rows memory use: 0.0 MB
  466. sparse matrix memory use: 5626.4 MB
  467. memory use: 7837.2 MB
  468. 668556272 14488496 14488311
  469. commencing Lanczos iteration
  470. 668544395 14488539 14488311
  471. commencing Lanczos iteration
  472. vector memory use: 2210.8 MB
  473. dense rows memory use: 442.2 MB
  474. sparse matrix memory use: 5211.2 MB
  475. memory use: 7864.1 MB
  476. vector memory use: 2210.8 MB
  477. dense rows memory use: 442.2 MB
  478. sparse matrix memory use: 5211.1 MB
  479. memory use: 7864.1 MB
  480. restarting at iteration 87803 (dim = 22410092)
  481. restarting at iteration 87803 (dim = 22410092)
  482. restarting at iteration 87803 (dim = 22410092)
  483. restarting at iteration 87803 (dim = 22410092)
  484. Allocated 490.7 MB for SpMV library
  485. Allocated 490.7 MB for SpMV library
  486. Allocated 529.8 MB for SpMV library
  487. Allocated 529.8 MB for SpMV library
  488. linear algebra at 77.4%, ETA 4h 2mof 28977035 dimensions (77.4%, ETA 4h 2m)
  489. checkpointing every 800000 dimensions28977035 dimensions (77.4%, ETA 4h 8m)
  490. linear algebra completed 28976426 of 28977035 dimensions (100.0%, ETA 0h 0m)
  491. lanczos halted after 113532 iterations (dim = 28976619)
  492. lanczos halted after 113532 iterations (dim = 28976619)
  493. lanczos halted after 113532 iterations (dim = 28976619)
  494. lanczos halted after 113532 iterations (dim = 28976619)
  495.  
  496. recovered 36 nontrivial dependencies
  497. elapsed time 16:22:57
  498.  
  499. Wed Jun 14 13:53:52 2023
  500. Wed Jun 14 13:53:52 2023
  501. Wed Jun 14 13:53:52 2023 Msieve v. 1.54 (SVN unknown)
  502. Wed Jun 14 13:53:52 2023 random seeds: 105ad7b5 dd5bd668
  503. Wed Jun 14 13:53:52 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits)
  504. Wed Jun 14 13:53:53 2023 no P-1/P+1/ECM available, skipping
  505. Wed Jun 14 13:53:53 2023 commencing number field sieve (239-digit input)
  506. Wed Jun 14 13:53:53 2023 R0: -19088056323407827075424486287615602692670648963
  507. Wed Jun 14 13:53:53 2023 R1: 1
  508. Wed Jun 14 13:53:53 2023 A0: 1
  509. Wed Jun 14 13:53:53 2023 A1: 0
  510. Wed Jun 14 13:53:53 2023 A2: 0
  511. Wed Jun 14 13:53:53 2023 A3: -3
  512. Wed Jun 14 13:53:53 2023 A4: 0
  513. Wed Jun 14 13:53:53 2023 A5: 0
  514. Wed Jun 14 13:53:53 2023 A6: 3
  515. Wed Jun 14 13:53:53 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0
  516. Wed Jun 14 13:53:53 2023
  517. Wed Jun 14 13:53:53 2023 commencing square root phase
  518. Wed Jun 14 13:53:53 2023 handling dependencies 10 to 14
  519. Wed Jun 14 13:53:53 2023 reading relations for dependency 10
  520. Wed Jun 14 13:53:59 2023 read 14486181 cycles
  521. Wed Jun 14 13:54:32 2023 cycles contain 50569514 unique relations
  522. Wed Jun 14 14:03:52 2023 read 50569514 relations
  523. Wed Jun 14 14:09:17 2023 multiplying 50569514 relations
  524. Wed Jun 14 14:52:10 2023 multiply complete, coefficients have about 1411.54 million bits
  525. Wed Jun 14 14:52:15 2023 initial square root is modulo 2146817
  526. Wed Jun 14 15:32:02 2023 sqrtTime: 5889
  527. Wed Jun 14 15:32:02 2023 p75 factor: 141079912147026548614207035680370753699955598629695519674782389016935224629
  528. Wed Jun 14 15:32:02 2023 p165 factor: 208907087719248744950894663162539480254404719955509289821789639272549926634817382261685018778725378004725353389522003036559860467004337704677575112595454021902662493
  529. Wed Jun 14 15:32:02 2023 elapsed time 01:38:10
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