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12p5_333

May 14th, 2025
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  1. Tue May 13 22:35:17 2025
  2. Tue May 13 22:35:17 2025
  3. Tue May 13 22:35:17 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue May 13 22:35:17 2025 random seeds: d331b582 d8690c4e
  5. Tue May 13 22:35:17 2025 MPI process 0 of 1
  6. Tue May 13 22:35:17 2025 Using 64 OpenMP threads
  7. Tue May 13 22:35:17 2025 factoring 1094743273022282758351711256121462224937898039045729570124982035217256409439154088492799870079778268433265633189585273417880666277404039374488760757831912451175111503013153742426538294743079914822013014237106751249467222591 (223 digits)
  8. Tue May 13 22:35:18 2025 no P-1/P+1/ECM available, skipping
  9. Tue May 13 22:35:18 2025 commencing number field sieve (223-digit input)
  10. Tue May 13 22:35:18 2025 R0: 8505622499821102144576131684114829934592
  11. Tue May 13 22:35:18 2025 R1: -72759576141834259033203125
  12. Tue May 13 22:35:18 2025 A0: 1
  13. Tue May 13 22:35:18 2025 A1: 0
  14. Tue May 13 22:35:18 2025 A2: 0
  15. Tue May 13 22:35:18 2025 A3: -1
  16. Tue May 13 22:35:18 2025 A4: 0
  17. Tue May 13 22:35:18 2025 A5: 0
  18. Tue May 13 22:35:18 2025 A6: 1
  19. Tue May 13 22:35:18 2025 skew 1.00, size 8.861e-12, alpha 1.996, combined = 5.818e-13 rroots = 0
  20. Tue May 13 22:35:18 2025
  21. Tue May 13 22:35:18 2025 commencing relation filtering
  22. Tue May 13 22:35:18 2025 setting target matrix density to 110.0
  23. Tue May 13 22:35:18 2025 estimated available RAM is 1031760.2 MB
  24. Tue May 13 22:35:18 2025 commencing duplicate removal, pass 1
  25. Tue May 13 22:38:24 2025 skipped 88 relations with b > 2^32
  26. Tue May 13 22:38:24 2025 skipped 7 relations with composite factors
  27. Tue May 13 22:38:24 2025 skipped 75 malformed relations
  28. Tue May 13 22:38:24 2025 found 14166147 hash collisions in 358367812 relations
  29. Tue May 13 22:38:28 2025 added 2438352 free relations
  30. Tue May 13 22:38:28 2025 commencing duplicate removal, pass 2
  31. Tue May 13 22:39:26 2025 found 0 duplicates and 360806164 unique relations
  32. Tue May 13 22:39:26 2025 memory use: 1108.8 MB
  33. Tue May 13 22:39:26 2025 reading ideals above 720000
  34. Tue May 13 22:39:26 2025 commencing singleton removal, initial pass
  35. Tue May 13 22:47:35 2025 memory use: 6024.0 MB
  36. Tue May 13 22:47:35 2025 reading all ideals from disk
  37. Tue May 13 22:47:38 2025 memory use: 16718.5 MB
  38. Tue May 13 22:47:52 2025 keeping 316616037 ideals with weight <= 200, target excess is 1792779
  39. Tue May 13 22:48:13 2025 commencing in-memory singleton removal
  40. Tue May 13 22:48:14 2025 begin with 360806164 relations and 316616037 unique ideals
  41. Tue May 13 22:48:22 2025 reduce to 226085653 relations and 167674061 ideals in 14 passes
  42. Tue May 13 22:48:22 2025 max relations containing the same ideal: 160
  43. Tue May 13 22:48:53 2025 removing 12028002 relations and 10028002 ideals in 2000000 cliques
  44. Tue May 13 22:48:58 2025 commencing in-memory singleton removal
  45. Tue May 13 22:48:58 2025 begin with 214057651 relations and 167674061 unique ideals
  46. Tue May 13 22:49:02 2025 reduce to 213545965 relations and 157128095 ideals in 9 passes
  47. Tue May 13 22:49:02 2025 max relations containing the same ideal: 152
  48. Tue May 13 22:49:30 2025 removing 9026665 relations and 7026665 ideals in 2000000 cliques
  49. Tue May 13 22:49:34 2025 commencing in-memory singleton removal
  50. Tue May 13 22:49:35 2025 begin with 204519300 relations and 157128095 unique ideals
  51. Tue May 13 22:49:38 2025 reduce to 204193746 relations and 149772379 ideals in 7 passes
  52. Tue May 13 22:49:38 2025 max relations containing the same ideal: 150
  53. Tue May 13 22:50:06 2025 removing 8094772 relations and 6094772 ideals in 2000000 cliques
  54. Tue May 13 22:50:10 2025 commencing in-memory singleton removal
  55. Tue May 13 22:50:10 2025 begin with 196098974 relations and 149772379 unique ideals
  56. Tue May 13 22:50:13 2025 reduce to 195822211 relations and 143397957 ideals in 7 passes
  57. Tue May 13 22:50:13 2025 max relations containing the same ideal: 146
  58. Tue May 13 22:50:40 2025 removing 7584070 relations and 5584070 ideals in 2000000 cliques
  59. Tue May 13 22:50:44 2025 commencing in-memory singleton removal
  60. Tue May 13 22:50:44 2025 begin with 188238141 relations and 143397957 unique ideals
  61. Tue May 13 22:50:47 2025 reduce to 187987003 relations and 137560081 ideals in 7 passes
  62. Tue May 13 22:50:47 2025 max relations containing the same ideal: 140
  63. Tue May 13 22:51:13 2025 removing 7251526 relations and 5251526 ideals in 2000000 cliques
  64. Tue May 13 22:51:17 2025 commencing in-memory singleton removal
  65. Tue May 13 22:51:17 2025 begin with 180735477 relations and 137560081 unique ideals
  66. Tue May 13 22:51:20 2025 reduce to 180500261 relations and 132070876 ideals in 7 passes
  67. Tue May 13 22:51:20 2025 max relations containing the same ideal: 137
  68. Tue May 13 22:51:45 2025 removing 7009863 relations and 5009863 ideals in 2000000 cliques
  69. Tue May 13 22:51:49 2025 commencing in-memory singleton removal
  70. Tue May 13 22:51:50 2025 begin with 173490398 relations and 132070876 unique ideals
  71. Tue May 13 22:51:52 2025 reduce to 173265513 relations and 126833634 ideals in 8 passes
  72. Tue May 13 22:51:52 2025 max relations containing the same ideal: 133
  73. Tue May 13 22:52:17 2025 removing 6833891 relations and 4833891 ideals in 2000000 cliques
  74. Tue May 13 22:52:20 2025 commencing in-memory singleton removal
  75. Tue May 13 22:52:21 2025 begin with 166431622 relations and 126833634 unique ideals
  76. Tue May 13 22:52:23 2025 reduce to 166213532 relations and 121779125 ideals in 7 passes
  77. Tue May 13 22:52:23 2025 max relations containing the same ideal: 129
  78. Tue May 13 22:52:48 2025 removing 6683393 relations and 4683393 ideals in 2000000 cliques
  79. Tue May 13 22:52:52 2025 commencing in-memory singleton removal
  80. Tue May 13 22:52:52 2025 begin with 159530139 relations and 121779125 unique ideals
  81. Tue May 13 22:52:54 2025 reduce to 159315315 relations and 116878278 ideals in 7 passes
  82. Tue May 13 22:52:54 2025 max relations containing the same ideal: 127
  83. Tue May 13 22:53:18 2025 removing 6565628 relations and 4565628 ideals in 2000000 cliques
  84. Tue May 13 22:53:22 2025 commencing in-memory singleton removal
  85. Tue May 13 22:53:22 2025 begin with 152749687 relations and 116878278 unique ideals
  86. Tue May 13 22:53:24 2025 reduce to 152537365 relations and 112097655 ideals in 6 passes
  87. Tue May 13 22:53:24 2025 max relations containing the same ideal: 123
  88. Tue May 13 22:53:46 2025 removing 6473513 relations and 4473513 ideals in 2000000 cliques
  89. Tue May 13 22:53:50 2025 commencing in-memory singleton removal
  90. Tue May 13 22:53:50 2025 begin with 146063852 relations and 112097655 unique ideals
  91. Tue May 13 22:53:52 2025 reduce to 145852351 relations and 107409938 ideals in 7 passes
  92. Tue May 13 22:53:52 2025 max relations containing the same ideal: 120
  93. Tue May 13 22:54:13 2025 removing 6390107 relations and 4390107 ideals in 2000000 cliques
  94. Tue May 13 22:54:16 2025 commencing in-memory singleton removal
  95. Tue May 13 22:54:17 2025 begin with 139462244 relations and 107409938 unique ideals
  96. Tue May 13 22:54:19 2025 reduce to 139250877 relations and 102805638 ideals in 6 passes
  97. Tue May 13 22:54:19 2025 max relations containing the same ideal: 117
  98. Tue May 13 22:54:38 2025 removing 6321917 relations and 4321917 ideals in 2000000 cliques
  99. Tue May 13 22:54:41 2025 commencing in-memory singleton removal
  100. Tue May 13 22:54:42 2025 begin with 132928960 relations and 102805638 unique ideals
  101. Tue May 13 22:54:44 2025 reduce to 132715801 relations and 98267283 ideals in 7 passes
  102. Tue May 13 22:54:44 2025 max relations containing the same ideal: 111
  103. Tue May 13 22:55:05 2025 removing 6261188 relations and 4261188 ideals in 2000000 cliques
  104. Tue May 13 22:55:07 2025 commencing in-memory singleton removal
  105. Tue May 13 22:55:08 2025 begin with 126454613 relations and 98267283 unique ideals
  106. Tue May 13 22:55:09 2025 reduce to 126236205 relations and 93784423 ideals in 6 passes
  107. Tue May 13 22:55:09 2025 max relations containing the same ideal: 108
  108. Tue May 13 22:55:28 2025 removing 6216001 relations and 4216001 ideals in 2000000 cliques
  109. Tue May 13 22:55:30 2025 commencing in-memory singleton removal
  110. Tue May 13 22:55:31 2025 begin with 120020204 relations and 93784423 unique ideals
  111. Tue May 13 22:55:32 2025 reduce to 119798107 relations and 89342746 ideals in 6 passes
  112. Tue May 13 22:55:32 2025 max relations containing the same ideal: 104
  113. Tue May 13 22:55:50 2025 removing 6173014 relations and 4173014 ideals in 2000000 cliques
  114. Tue May 13 22:55:52 2025 commencing in-memory singleton removal
  115. Tue May 13 22:55:53 2025 begin with 113625093 relations and 89342746 unique ideals
  116. Tue May 13 22:55:54 2025 reduce to 113396259 relations and 84937111 ideals in 7 passes
  117. Tue May 13 22:55:54 2025 max relations containing the same ideal: 101
  118. Tue May 13 22:56:11 2025 removing 6143405 relations and 4143405 ideals in 2000000 cliques
  119. Tue May 13 22:56:14 2025 commencing in-memory singleton removal
  120. Tue May 13 22:56:14 2025 begin with 107252854 relations and 84937111 unique ideals
  121. Tue May 13 22:56:16 2025 reduce to 107017769 relations and 80554477 ideals in 6 passes
  122. Tue May 13 22:56:16 2025 max relations containing the same ideal: 97
  123. Tue May 13 22:56:32 2025 removing 6119710 relations and 4119710 ideals in 2000000 cliques
  124. Tue May 13 22:56:35 2025 commencing in-memory singleton removal
  125. Tue May 13 22:56:35 2025 begin with 100898059 relations and 80554477 unique ideals
  126. Tue May 13 22:56:36 2025 reduce to 100652700 relations and 76184826 ideals in 7 passes
  127. Tue May 13 22:56:36 2025 max relations containing the same ideal: 93
  128. Tue May 13 22:56:53 2025 removing 6099724 relations and 4099724 ideals in 2000000 cliques
  129. Tue May 13 22:56:55 2025 commencing in-memory singleton removal
  130. Tue May 13 22:56:55 2025 begin with 94552976 relations and 76184826 unique ideals
  131. Tue May 13 22:56:57 2025 reduce to 94296504 relations and 71823769 ideals in 7 passes
  132. Tue May 13 22:56:57 2025 max relations containing the same ideal: 91
  133. Tue May 13 22:57:11 2025 removing 6087370 relations and 4087370 ideals in 2000000 cliques
  134. Tue May 13 22:57:13 2025 commencing in-memory singleton removal
  135. Tue May 13 22:57:14 2025 begin with 88209134 relations and 71823769 unique ideals
  136. Tue May 13 22:57:15 2025 reduce to 87939136 relations and 67460855 ideals in 7 passes
  137. Tue May 13 22:57:15 2025 max relations containing the same ideal: 90
  138. Tue May 13 22:57:29 2025 removing 6081138 relations and 4081138 ideals in 2000000 cliques
  139. Tue May 13 22:57:32 2025 commencing in-memory singleton removal
  140. Tue May 13 22:57:32 2025 begin with 81857998 relations and 67460855 unique ideals
  141. Tue May 13 22:57:36 2025 reduce to 81571312 relations and 63086742 ideals in 7 passes
  142. Tue May 13 22:57:36 2025 max relations containing the same ideal: 86
  143. Tue May 13 22:57:52 2025 removing 6087176 relations and 4087176 ideals in 2000000 cliques
  144. Tue May 13 22:57:55 2025 commencing in-memory singleton removal
  145. Tue May 13 22:57:55 2025 begin with 75484136 relations and 63086742 unique ideals
  146. Tue May 13 22:57:56 2025 reduce to 75177312 relations and 58685371 ideals in 7 passes
  147. Tue May 13 22:57:56 2025 max relations containing the same ideal: 80
  148. Tue May 13 22:58:09 2025 removing 6098718 relations and 4098718 ideals in 2000000 cliques
  149. Tue May 13 22:58:11 2025 commencing in-memory singleton removal
  150. Tue May 13 22:58:11 2025 begin with 69078594 relations and 58685371 unique ideals
  151. Tue May 13 22:58:12 2025 reduce to 68746671 relations and 54246451 ideals in 7 passes
  152. Tue May 13 22:58:12 2025 max relations containing the same ideal: 71
  153. Tue May 13 22:58:23 2025 removing 6118680 relations and 4118680 ideals in 2000000 cliques
  154. Tue May 13 22:58:25 2025 commencing in-memory singleton removal
  155. Tue May 13 22:58:25 2025 begin with 62627991 relations and 54246451 unique ideals
  156. Tue May 13 22:58:26 2025 reduce to 62266267 relations and 49756256 ideals in 7 passes
  157. Tue May 13 22:58:26 2025 max relations containing the same ideal: 68
  158. Tue May 13 22:58:37 2025 removing 6152053 relations and 4152053 ideals in 2000000 cliques
  159. Tue May 13 22:58:39 2025 commencing in-memory singleton removal
  160. Tue May 13 22:58:39 2025 begin with 56114214 relations and 49756256 unique ideals
  161. Tue May 13 22:58:40 2025 reduce to 55712962 relations and 45191318 ideals in 7 passes
  162. Tue May 13 22:58:40 2025 max relations containing the same ideal: 62
  163. Tue May 13 22:58:49 2025 removing 6186423 relations and 4186423 ideals in 2000000 cliques
  164. Tue May 13 22:58:51 2025 commencing in-memory singleton removal
  165. Tue May 13 22:58:51 2025 begin with 49526539 relations and 45191318 unique ideals
  166. Tue May 13 22:58:52 2025 reduce to 49078013 relations and 40541956 ideals in 7 passes
  167. Tue May 13 22:58:52 2025 max relations containing the same ideal: 58
  168. Tue May 13 22:59:00 2025 removing 6232408 relations and 4232408 ideals in 2000000 cliques
  169. Tue May 13 22:59:02 2025 commencing in-memory singleton removal
  170. Tue May 13 22:59:02 2025 begin with 42845605 relations and 40541956 unique ideals
  171. Tue May 13 22:59:03 2025 reduce to 42338017 relations and 35783770 ideals in 7 passes
  172. Tue May 13 22:59:03 2025 max relations containing the same ideal: 53
  173. Tue May 13 22:59:10 2025 removing 6282323 relations and 4282323 ideals in 2000000 cliques
  174. Tue May 13 22:59:12 2025 commencing in-memory singleton removal
  175. Tue May 13 22:59:12 2025 begin with 36055694 relations and 35783770 unique ideals
  176. Tue May 13 22:59:12 2025 reduce to 35463126 relations and 30884570 ideals in 8 passes
  177. Tue May 13 22:59:12 2025 max relations containing the same ideal: 49
  178. Tue May 13 22:59:19 2025 removing 6330137 relations and 4330137 ideals in 2000000 cliques
  179. Tue May 13 22:59:21 2025 commencing in-memory singleton removal
  180. Tue May 13 22:59:21 2025 begin with 29132989 relations and 30884570 unique ideals
  181. Tue May 13 22:59:21 2025 reduce to 28418126 relations and 25804683 ideals in 8 passes
  182. Tue May 13 22:59:21 2025 max relations containing the same ideal: 42
  183. Tue May 13 22:59:27 2025 removing 2157832 relations and 1624013 ideals in 533819 cliques
  184. Tue May 13 22:59:28 2025 commencing in-memory singleton removal
  185. Tue May 13 22:59:28 2025 begin with 26260294 relations and 25804683 unique ideals
  186. Tue May 13 22:59:28 2025 reduce to 26137105 relations and 24055376 ideals in 6 passes
  187. Tue May 13 22:59:28 2025 max relations containing the same ideal: 40
  188. Tue May 13 22:59:36 2025 relations with 0 large ideals: 122475
  189. Tue May 13 22:59:36 2025 relations with 1 large ideals: 161351
  190. Tue May 13 22:59:36 2025 relations with 2 large ideals: 1147734
  191. Tue May 13 22:59:36 2025 relations with 3 large ideals: 4026690
  192. Tue May 13 22:59:36 2025 relations with 4 large ideals: 7118034
  193. Tue May 13 22:59:36 2025 relations with 5 large ideals: 7048447
  194. Tue May 13 22:59:36 2025 relations with 6 large ideals: 4128989
  195. Tue May 13 22:59:36 2025 relations with 7+ large ideals: 2383385
  196. Tue May 13 22:59:36 2025 commencing 2-way merge
  197. Tue May 13 22:59:43 2025 reduce to 16613359 relation sets and 14531630 unique ideals
  198. Tue May 13 22:59:43 2025 commencing full merge
  199. Tue May 13 23:02:28 2025 memory use: 1803.4 MB
  200. Tue May 13 23:02:29 2025 found 7806044 cycles, need 7563830
  201. Tue May 13 23:02:31 2025 weight of 7563830 cycles is about 832352186 (110.04/cycle)
  202. Tue May 13 23:02:31 2025 distribution of cycle lengths:
  203. Tue May 13 23:02:31 2025 1 relations: 378116
  204. Tue May 13 23:02:31 2025 2 relations: 435375
  205. Tue May 13 23:02:31 2025 3 relations: 520453
  206. Tue May 13 23:02:31 2025 4 relations: 553740
  207. Tue May 13 23:02:31 2025 5 relations: 574739
  208. Tue May 13 23:02:31 2025 6 relations: 577892
  209. Tue May 13 23:02:31 2025 7 relations: 573805
  210. Tue May 13 23:02:31 2025 8 relations: 551584
  211. Tue May 13 23:02:31 2025 9 relations: 520381
  212. Tue May 13 23:02:31 2025 10+ relations: 2877745
  213. Tue May 13 23:02:31 2025 heaviest cycle: 26 relations
  214. Tue May 13 23:02:32 2025 commencing cycle optimization
  215. Tue May 13 23:02:40 2025 start with 63506017 relations
  216. Tue May 13 23:03:51 2025 pruned 2757501 relations
  217. Tue May 13 23:03:51 2025 memory use: 1710.7 MB
  218. Tue May 13 23:03:51 2025 distribution of cycle lengths:
  219. Tue May 13 23:03:51 2025 1 relations: 378116
  220. Tue May 13 23:03:51 2025 2 relations: 445854
  221. Tue May 13 23:03:51 2025 3 relations: 542280
  222. Tue May 13 23:03:51 2025 4 relations: 577144
  223. Tue May 13 23:03:51 2025 5 relations: 605408
  224. Tue May 13 23:03:51 2025 6 relations: 608663
  225. Tue May 13 23:03:51 2025 7 relations: 606916
  226. Tue May 13 23:03:51 2025 8 relations: 581740
  227. Tue May 13 23:03:51 2025 9 relations: 547037
  228. Tue May 13 23:03:51 2025 10+ relations: 2670672
  229. Tue May 13 23:03:51 2025 heaviest cycle: 26 relations
  230. Tue May 13 23:03:57 2025 RelProcTime: 1719
  231. Tue May 13 23:03:57 2025 elapsed time 00:28:40
  232. Tue May 13 23:04:00 2025
  233. Tue May 13 23:04:00 2025
  234. Tue May 13 23:04:00 2025 Msieve v. 1.54 (SVN unknown)
  235. Tue May 13 23:04:00 2025 random seeds: dbfbf223 737ba3ae
  236. Tue May 13 23:04:00 2025 MPI process 0 of 4
  237. Tue May 13 23:04:00 2025 Using 10 OpenMP threads
  238. Tue May 13 23:04:00 2025 factoring 1094743273022282758351711256121462224937898039045729570124982035217256409439154088492799870079778268433265633189585273417880666277404039374488760757831912451175111503013153742426538294743079914822013014237106751249467222591 (223 digits)
  239. Tue May 13 23:04:01 2025 no P-1/P+1/ECM available, skipping
  240. Tue May 13 23:04:01 2025 commencing number field sieve (223-digit input)
  241. Tue May 13 23:04:01 2025 R0: 8505622499821102144576131684114829934592
  242. Tue May 13 23:04:01 2025 R1: -72759576141834259033203125
  243. Tue May 13 23:04:01 2025 A0: 1
  244. Tue May 13 23:04:01 2025 A1: 0
  245. Tue May 13 23:04:01 2025 A2: 0
  246. Tue May 13 23:04:01 2025 A3: -1
  247. Tue May 13 23:04:01 2025 A4: 0
  248. Tue May 13 23:04:01 2025 A5: 0
  249. Tue May 13 23:04:01 2025 A6: 1
  250. Tue May 13 23:04:01 2025 skew 1.00, size 8.861e-12, alpha 1.996, combined = 5.818e-13 rroots = 0
  251. Tue May 13 23:04:01 2025
  252. Tue May 13 23:04:01 2025 commencing linear algebra
  253. Tue May 13 23:04:01 2025 using VBITS=256
  254. Tue May 13 23:04:01 2025 initialized process (0,0) of 2 x 2 grid
  255. Tue May 13 23:04:01 2025 read 7563830 cycles
  256. Tue May 13 23:04:09 2025 cycles contain 25091408 unique relations
  257. Tue May 13 23:04:30 2025 read 25091408 relations
  258. Tue May 13 23:04:34 2025 using 20 quadratic characters above 4294917295
  259. Tue May 13 23:04:42 2025 building initial matrix
  260. Tue May 13 23:07:22 2025 memory use: 3114.4 MB
  261. Tue May 13 23:07:26 2025 read 7563830 cycles
  262. Tue May 13 23:07:27 2025 matrix is 7563649 x 7563830 (3296.9 MB) with weight 942980259 (124.67/col)
  263. Tue May 13 23:07:27 2025 sparse part has weight 781064611 (103.26/col)
  264. Tue May 13 23:08:16 2025 filtering completed in 2 passes
  265. Tue May 13 23:08:17 2025 matrix is 7562463 x 7562630 (3296.7 MB) with weight 942923795 (124.68/col)
  266. Tue May 13 23:08:17 2025 sparse part has weight 781033189 (103.28/col)
  267. Tue May 13 23:08:28 2025 matrix starts at (0, 0)
  268. Tue May 13 23:08:28 2025 matrix is 3781352 x 3781332 (974.1 MB) with weight 294719223 (77.94/col)
  269. Tue May 13 23:08:28 2025 sparse part has weight 213772200 (56.53/col)
  270. Tue May 13 23:08:28 2025 saving the first 240 matrix rows for later
  271. Tue May 13 23:08:29 2025 matrix includes 256 packed rows
  272. Tue May 13 23:08:30 2025 matrix is 3781112 x 3781332 (849.4 MB) with weight 176898826 (46.78/col)
  273. Tue May 13 23:08:30 2025 sparse part has weight 162159550 (42.88/col)
  274. Tue May 13 23:08:30 2025 using GPU 0 (NVIDIA H200)
  275. Tue May 13 23:08:30 2025 selected card has CUDA arch 9.0
  276. Tue May 13 23:08:39 2025 commencing Lanczos iteration
  277. Tue May 13 23:08:39 2025 memory use: 1958.4 MB
  278. Tue May 13 23:08:42 2025 linear algebra at 0.4%, ETA 0h12m
  279. Tue May 13 23:08:46 2025 checking every 650000 dimensions, checkpointing every 39650000 dimensions
  280. Tue May 13 23:18:33 2025 lanczos halted after 29629 iterations (dim = 7562219)
  281. Tue May 13 23:18:56 2025 recovered 35 nontrivial dependencies
  282. Tue May 13 23:18:56 2025 BLanczosTime: 895
  283. Tue May 13 23:18:56 2025 elapsed time 00:14:56
  284. Tue May 13 23:19:00 2025
  285. Tue May 13 23:19:00 2025
  286. Tue May 13 23:19:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  287. Tue May 13 23:19:00 2025 random seeds: 2e74ec1b 64656067
  288. Tue May 13 23:19:00 2025 MPI process 0 of 1
  289. Tue May 13 23:19:00 2025 Using 64 OpenMP threads
  290. Tue May 13 23:19:00 2025 factoring 1094743273022282758351711256121462224937898039045729570124982035217256409439154088492799870079778268433265633189585273417880666277404039374488760757831912451175111503013153742426538294743079914822013014237106751249467222591 (223 digits)
  291. Tue May 13 23:19:01 2025 no P-1/P+1/ECM available, skipping
  292. Tue May 13 23:19:01 2025 commencing number field sieve (223-digit input)
  293. Tue May 13 23:19:01 2025 R0: 8505622499821102144576131684114829934592
  294. Tue May 13 23:19:01 2025 R1: -72759576141834259033203125
  295. Tue May 13 23:19:01 2025 A0: 1
  296. Tue May 13 23:19:01 2025 A1: 0
  297. Tue May 13 23:19:01 2025 A2: 0
  298. Tue May 13 23:19:01 2025 A3: -1
  299. Tue May 13 23:19:01 2025 A4: 0
  300. Tue May 13 23:19:01 2025 A5: 0
  301. Tue May 13 23:19:01 2025 A6: 1
  302. Tue May 13 23:19:01 2025 skew 1.00, size 8.861e-12, alpha 1.996, combined = 5.818e-13 rroots = 0
  303. Tue May 13 23:19:01 2025
  304. Tue May 13 23:19:01 2025 commencing square root phase
  305. Tue May 13 23:19:01 2025 reading relations for dependency 1
  306. Tue May 13 23:19:01 2025 read 3780159 cycles
  307. Tue May 13 23:19:05 2025 cycles contain 12542184 unique relations
  308. Tue May 13 23:19:18 2025 read 12542184 relations
  309. Tue May 13 23:19:41 2025 multiplying 12542184 relations
  310. Tue May 13 23:20:19 2025 multiply complete, coefficients have about 310.01 million bits
  311. Tue May 13 23:20:20 2025 initial square root is modulo 365333
  312. Tue May 13 23:21:19 2025 GCD is N, no factor found
  313. Tue May 13 23:21:19 2025 reading relations for dependency 2
  314. Tue May 13 23:21:20 2025 read 3781364 cycles
  315. Tue May 13 23:21:23 2025 cycles contain 12546092 unique relations
  316. Tue May 13 23:21:36 2025 read 12546092 relations
  317. Tue May 13 23:21:59 2025 multiplying 12546092 relations
  318. Tue May 13 23:22:34 2025 multiply complete, coefficients have about 310.11 million bits
  319. Tue May 13 23:22:35 2025 initial square root is modulo 366851
  320. Tue May 13 23:23:34 2025 GCD is N, no factor found
  321. Tue May 13 23:23:34 2025 reading relations for dependency 3
  322. Tue May 13 23:23:34 2025 read 3780373 cycles
  323. Tue May 13 23:23:38 2025 cycles contain 12542978 unique relations
  324. Tue May 13 23:23:50 2025 read 12542978 relations
  325. Tue May 13 23:24:14 2025 multiplying 12542978 relations
  326. Tue May 13 23:24:44 2025 multiply complete, coefficients have about 310.04 million bits
  327. Tue May 13 23:24:45 2025 initial square root is modulo 365747
  328. Tue May 13 23:25:44 2025 GCD is 1, no factor found
  329. Tue May 13 23:25:44 2025 reading relations for dependency 4
  330. Tue May 13 23:25:45 2025 read 3780398 cycles
  331. Tue May 13 23:25:48 2025 cycles contain 12542958 unique relations
  332. Tue May 13 23:26:01 2025 read 12542958 relations
  333. Tue May 13 23:26:24 2025 multiplying 12542958 relations
  334. Tue May 13 23:26:57 2025 multiply complete, coefficients have about 310.04 million bits
  335. Tue May 13 23:26:58 2025 initial square root is modulo 365699
  336. Tue May 13 23:27:57 2025 sqrtTime: 536
  337. Tue May 13 23:27:57 2025 p58 factor: 1593520877604154280118740919162705715756407562560973677001
  338. Tue May 13 23:27:57 2025 p165 factor: 686996504663447142043734334631292327976094442401532592634530463319726226374882820058413819533342623016719022078929410811421770280619235727083935555406158328169115591
  339. Tue May 13 23:27:57 2025 elapsed time 00:08:57
  340.  
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