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  1. Wed Nov 19 20:56:23 2025
  2. Wed Nov 19 20:56:23 2025
  3. Wed Nov 19 20:56:23 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Nov 19 20:56:23 2025 random seeds: 29418504 a0212072
  5. Wed Nov 19 20:56:23 2025 Using 8 OpenMP threads
  6. Wed Nov 19 20:56:23 2025 factoring 1452848330851205097904585085040436106411154882691267873125029250271117855878805943654146936940471067989034288416808883136159810949249242967838918383859611639069461760271925231084798197070104618831 (196 digits)
  7. Wed Nov 19 20:56:23 2025 searching for 15-digit factors
  8. Wed Nov 19 20:56:23 2025 commencing number field sieve (196-digit input)
  9. Wed Nov 19 20:56:23 2025 reversing signs of algebraic polynomial
  10. Wed Nov 19 20:56:23 2025 R0: -38419120751402308740584197920135352059
  11. Wed Nov 19 20:56:23 2025 R1: 3703108259367486627841
  12. Wed Nov 19 20:56:23 2025 A0: 11416985034059544423193412368767078822801806000
  13. Wed Nov 19 20:56:23 2025 A1: 1259681753167804573990394995873370200922
  14. Wed Nov 19 20:56:23 2025 A2: -932417089971233190081936603677
  15. Wed Nov 19 20:56:23 2025 A3: -1401613187958396577325783
  16. Wed Nov 19 20:56:23 2025 A4: 525292764552258
  17. Wed Nov 19 20:56:23 2025 A5: 34714680
  18. Wed Nov 19 20:56:23 2025 skew 1.00, size 4.306e-19, alpha -8.198, combined = 3.106e-17 rroots = 5
  19. Wed Nov 19 20:56:23 2025
  20. Wed Nov 19 20:56:23 2025 commencing relation filtering
  21. Wed Nov 19 20:56:23 2025 reversing signs of algebraic polynomial
  22. Wed Nov 19 20:56:23 2025 estimated available RAM is 78540.1 MB
  23. Wed Nov 19 20:56:23 2025 commencing duplicate removal, pass 1
  24. Wed Nov 19 21:06:33 2025 error -1 reading relation 242902080
  25. Wed Nov 19 21:09:03 2025 error -15 reading relation 304462118
  26. Wed Nov 19 21:13:27 2025 error -1 reading relation 419493001
  27. Wed Nov 19 21:14:39 2025 error -1 reading relation 451498567
  28. Wed Nov 19 21:17:03 2025 error -1 reading relation 515175411
  29. Wed Nov 19 21:17:08 2025 error -1 reading relation 517411128
  30. Wed Nov 19 21:17:09 2025 error -1 reading relation 517555361
  31. Wed Nov 19 21:17:15 2025 error -1 reading relation 520309331
  32. Wed Nov 19 21:17:58 2025 error -1 reading relation 539564032
  33. Wed Nov 19 21:19:23 2025 error -1 reading relation 576954881
  34. Wed Nov 19 21:19:29 2025 error -1 reading relation 579417108
  35. Wed Nov 19 21:20:59 2025 error -1 reading relation 618972006
  36. Wed Nov 19 21:21:00 2025 error -1 reading relation 619312408
  37. Wed Nov 19 21:22:02 2025 error -1 reading relation 647151219
  38. Wed Nov 19 21:22:03 2025 error -1 reading relation 647646731
  39. Wed Nov 19 21:22:52 2025 skipped 2 relations with composite factors
  40. Wed Nov 19 21:22:52 2025 skipped 1079 malformed relations
  41. Wed Nov 19 21:22:52 2025 found 24746753 hash collisions in 668921411 relations
  42. Wed Nov 19 21:23:05 2025 added 122113 free relations
  43. Wed Nov 19 21:23:05 2025 commencing duplicate removal, pass 2
  44. Wed Nov 19 21:27:32 2025 found 1 duplicates and 669043523 unique relations
  45. Wed Nov 19 21:27:32 2025 memory use: 2089.5 MB
  46. Wed Nov 19 21:27:32 2025 reading ideals above 568918016
  47. Wed Nov 19 21:27:32 2025 commencing singleton removal, initial pass
  48. Wed Nov 19 21:57:28 2025 memory use: 11024.0 MB
  49. Wed Nov 19 21:57:29 2025 reading all ideals from disk
  50. Wed Nov 19 21:57:45 2025 memory use: 16838.1 MB
  51. Wed Nov 19 21:58:04 2025 commencing in-memory singleton removal
  52. Wed Nov 19 21:58:09 2025 begin with 669043523 relations and 575869685 unique ideals
  53. Wed Nov 19 21:59:04 2025 reduce to 409974505 relations and 288966905 ideals in 15 passes
  54. Wed Nov 19 21:59:04 2025 max relations containing the same ideal: 39
  55. Wed Nov 19 21:59:14 2025 reading ideals above 720000
  56. Wed Nov 19 21:59:14 2025 commencing singleton removal, initial pass
  57. Wed Nov 19 22:30:33 2025 memory use: 11024.0 MB
  58. Wed Nov 19 22:30:34 2025 reading all ideals from disk
  59. Wed Nov 19 22:31:00 2025 memory use: 20962.5 MB
  60. Wed Nov 19 22:31:30 2025 keeping 346361203 ideals with weight <= 200, target excess is 2153337
  61. Wed Nov 19 22:32:12 2025 commencing in-memory singleton removal
  62. Wed Nov 19 22:32:19 2025 begin with 409974505 relations and 346361203 unique ideals
  63. Wed Nov 19 22:33:10 2025 reduce to 409776852 relations and 346163539 ideals in 10 passes
  64. Wed Nov 19 22:33:10 2025 max relations containing the same ideal: 200
  65. Wed Nov 19 22:35:22 2025 removing 16177648 relations and 14177648 ideals in 2000000 cliques
  66. Wed Nov 19 22:35:28 2025 commencing in-memory singleton removal
  67. Wed Nov 19 22:35:34 2025 begin with 393599204 relations and 346163539 unique ideals
  68. Wed Nov 19 22:36:14 2025 reduce to 393117908 relations and 331501175 ideals in 8 passes
  69. Wed Nov 19 22:36:14 2025 max relations containing the same ideal: 200
  70. Wed Nov 19 22:38:17 2025 removing 12117073 relations and 10117073 ideals in 2000000 cliques
  71. Wed Nov 19 22:38:24 2025 commencing in-memory singleton removal
  72. Wed Nov 19 22:38:29 2025 begin with 381000835 relations and 331501175 unique ideals
  73. Wed Nov 19 22:39:08 2025 reduce to 380701768 relations and 321083286 ideals in 8 passes
  74. Wed Nov 19 22:39:08 2025 max relations containing the same ideal: 198
  75. Wed Nov 19 22:41:08 2025 removing 10828740 relations and 8828740 ideals in 2000000 cliques
  76. Wed Nov 19 22:41:14 2025 commencing in-memory singleton removal
  77. Wed Nov 19 22:41:20 2025 begin with 369873028 relations and 321083286 unique ideals
  78. Wed Nov 19 22:41:58 2025 reduce to 369622473 relations and 312002571 ideals in 8 passes
  79. Wed Nov 19 22:41:58 2025 max relations containing the same ideal: 196
  80. Wed Nov 19 22:43:51 2025 removing 10096557 relations and 8096557 ideals in 2000000 cliques
  81. Wed Nov 19 22:43:58 2025 commencing in-memory singleton removal
  82. Wed Nov 19 22:44:04 2025 begin with 359525916 relations and 312002571 unique ideals
  83. Wed Nov 19 22:44:38 2025 reduce to 359299256 relations and 303678082 ideals in 8 passes
  84. Wed Nov 19 22:44:38 2025 max relations containing the same ideal: 193
  85. Wed Nov 19 22:46:31 2025 removing 9610264 relations and 7610264 ideals in 2000000 cliques
  86. Wed Nov 19 22:46:37 2025 commencing in-memory singleton removal
  87. Wed Nov 19 22:46:41 2025 begin with 349688992 relations and 303678082 unique ideals
  88. Wed Nov 19 22:47:12 2025 reduce to 349476921 relations and 295854635 ideals in 7 passes
  89. Wed Nov 19 22:47:12 2025 max relations containing the same ideal: 192
  90. Wed Nov 19 22:49:02 2025 removing 9256748 relations and 7256748 ideals in 2000000 cliques
  91. Wed Nov 19 22:49:08 2025 commencing in-memory singleton removal
  92. Wed Nov 19 22:49:12 2025 begin with 340220173 relations and 295854635 unique ideals
  93. Wed Nov 19 22:49:43 2025 reduce to 340018955 relations and 288395592 ideals in 7 passes
  94. Wed Nov 19 22:49:43 2025 max relations containing the same ideal: 190
  95. Wed Nov 19 22:51:27 2025 removing 8982383 relations and 6982383 ideals in 2000000 cliques
  96. Wed Nov 19 22:51:32 2025 commencing in-memory singleton removal
  97. Wed Nov 19 22:51:38 2025 begin with 331036572 relations and 288395592 unique ideals
  98. Wed Nov 19 22:52:08 2025 reduce to 330841430 relations and 281217030 ideals in 7 passes
  99. Wed Nov 19 22:52:08 2025 max relations containing the same ideal: 186
  100. Wed Nov 19 22:53:52 2025 removing 8766855 relations and 6766855 ideals in 2000000 cliques
  101. Wed Nov 19 22:53:57 2025 commencing in-memory singleton removal
  102. Wed Nov 19 22:54:02 2025 begin with 322074575 relations and 281217030 unique ideals
  103. Wed Nov 19 22:54:30 2025 reduce to 321882263 relations and 274256804 ideals in 7 passes
  104. Wed Nov 19 22:54:30 2025 max relations containing the same ideal: 181
  105. Wed Nov 19 22:56:12 2025 removing 8597050 relations and 6597050 ideals in 2000000 cliques
  106. Wed Nov 19 22:56:17 2025 commencing in-memory singleton removal
  107. Wed Nov 19 22:56:22 2025 begin with 313285213 relations and 274256804 unique ideals
  108. Wed Nov 19 22:56:50 2025 reduce to 313096446 relations and 267469924 ideals in 7 passes
  109. Wed Nov 19 22:56:50 2025 max relations containing the same ideal: 179
  110. Wed Nov 19 22:58:27 2025 removing 8454497 relations and 6454497 ideals in 2000000 cliques
  111. Wed Nov 19 22:58:32 2025 commencing in-memory singleton removal
  112. Wed Nov 19 22:58:36 2025 begin with 304641949 relations and 267469924 unique ideals
  113. Wed Nov 19 22:59:03 2025 reduce to 304453109 relations and 260825478 ideals in 7 passes
  114. Wed Nov 19 22:59:03 2025 max relations containing the same ideal: 175
  115. Wed Nov 19 23:00:39 2025 removing 8338141 relations and 6338141 ideals in 2000000 cliques
  116. Wed Nov 19 23:00:44 2025 commencing in-memory singleton removal
  117. Wed Nov 19 23:00:48 2025 begin with 296114968 relations and 260825478 unique ideals
  118. Wed Nov 19 23:01:17 2025 reduce to 295927262 relations and 254298483 ideals in 8 passes
  119. Wed Nov 19 23:01:17 2025 max relations containing the same ideal: 171
  120. Wed Nov 19 23:02:52 2025 removing 8245609 relations and 6245609 ideals in 2000000 cliques
  121. Wed Nov 19 23:02:57 2025 commencing in-memory singleton removal
  122. Wed Nov 19 23:02:59 2025 begin with 287681653 relations and 254298483 unique ideals
  123. Wed Nov 19 23:03:25 2025 reduce to 287492041 relations and 247862155 ideals in 7 passes
  124. Wed Nov 19 23:03:25 2025 max relations containing the same ideal: 168
  125. Wed Nov 19 23:04:57 2025 removing 8162953 relations and 6162953 ideals in 2000000 cliques
  126. Wed Nov 19 23:05:02 2025 commencing in-memory singleton removal
  127. Wed Nov 19 23:05:04 2025 begin with 279329088 relations and 247862155 unique ideals
  128. Wed Nov 19 23:05:26 2025 reduce to 279138585 relations and 241507505 ideals in 6 passes
  129. Wed Nov 19 23:05:26 2025 max relations containing the same ideal: 167
  130. Wed Nov 19 23:06:54 2025 removing 8102371 relations and 6102371 ideals in 2000000 cliques
  131. Wed Nov 19 23:06:59 2025 commencing in-memory singleton removal
  132. Wed Nov 19 23:07:04 2025 begin with 271036214 relations and 241507505 unique ideals
  133. Wed Nov 19 23:07:26 2025 reduce to 270843812 relations and 235211443 ideals in 7 passes
  134. Wed Nov 19 23:07:26 2025 max relations containing the same ideal: 163
  135. Wed Nov 19 23:08:52 2025 removing 8052441 relations and 6052441 ideals in 2000000 cliques
  136. Wed Nov 19 23:08:57 2025 commencing in-memory singleton removal
  137. Wed Nov 19 23:09:01 2025 begin with 262791371 relations and 235211443 unique ideals
  138. Wed Nov 19 23:09:21 2025 reduce to 262594094 relations and 228960358 ideals in 6 passes
  139. Wed Nov 19 23:09:21 2025 max relations containing the same ideal: 159
  140. Wed Nov 19 23:10:46 2025 removing 8011601 relations and 6011601 ideals in 2000000 cliques
  141. Wed Nov 19 23:10:50 2025 commencing in-memory singleton removal
  142. Wed Nov 19 23:10:54 2025 begin with 254582493 relations and 228960358 unique ideals
  143. Wed Nov 19 23:11:15 2025 reduce to 254382275 relations and 222747123 ideals in 7 passes
  144. Wed Nov 19 23:11:15 2025 max relations containing the same ideal: 157
  145. Wed Nov 19 23:12:37 2025 removing 7975017 relations and 5975017 ideals in 2000000 cliques
  146. Wed Nov 19 23:12:42 2025 commencing in-memory singleton removal
  147. Wed Nov 19 23:12:46 2025 begin with 246407258 relations and 222747123 unique ideals
  148. Wed Nov 19 23:13:03 2025 reduce to 246204673 relations and 216568100 ideals in 6 passes
  149. Wed Nov 19 23:13:03 2025 max relations containing the same ideal: 154
  150. Wed Nov 19 23:14:17 2025 removing 7955128 relations and 5955128 ideals in 2000000 cliques
  151. Wed Nov 19 23:14:21 2025 commencing in-memory singleton removal
  152. Wed Nov 19 23:14:25 2025 begin with 238249545 relations and 216568100 unique ideals
  153. Wed Nov 19 23:14:38 2025 reduce to 238040580 relations and 210402479 ideals in 6 passes
  154. Wed Nov 19 23:14:38 2025 max relations containing the same ideal: 149
  155. Wed Nov 19 23:15:44 2025 removing 7940064 relations and 5940064 ideals in 2000000 cliques
  156. Wed Nov 19 23:15:48 2025 commencing in-memory singleton removal
  157. Wed Nov 19 23:15:51 2025 begin with 230100516 relations and 210402479 unique ideals
  158. Wed Nov 19 23:16:04 2025 reduce to 229887497 relations and 204247774 ideals in 7 passes
  159. Wed Nov 19 23:16:04 2025 max relations containing the same ideal: 146
  160. Wed Nov 19 23:17:15 2025 removing 7934097 relations and 5934097 ideals in 2000000 cliques
  161. Wed Nov 19 23:17:19 2025 commencing in-memory singleton removal
  162. Wed Nov 19 23:17:23 2025 begin with 221953400 relations and 204247774 unique ideals
  163. Wed Nov 19 23:17:45 2025 reduce to 221734865 relations and 198093357 ideals in 7 passes
  164. Wed Nov 19 23:17:45 2025 max relations containing the same ideal: 143
  165. Wed Nov 19 23:19:02 2025 removing 7934178 relations and 5934178 ideals in 2000000 cliques
  166. Wed Nov 19 23:19:04 2025 commencing in-memory singleton removal
  167. Wed Nov 19 23:19:07 2025 begin with 213800687 relations and 198093357 unique ideals
  168. Wed Nov 19 23:19:24 2025 reduce to 213574280 relations and 191931036 ideals in 6 passes
  169. Wed Nov 19 23:19:24 2025 max relations containing the same ideal: 138
  170. Wed Nov 19 23:20:36 2025 removing 7936600 relations and 5936600 ideals in 2000000 cliques
  171. Wed Nov 19 23:20:39 2025 commencing in-memory singleton removal
  172. Wed Nov 19 23:20:42 2025 begin with 205637680 relations and 191931036 unique ideals
  173. Wed Nov 19 23:21:01 2025 reduce to 205402260 relations and 185757048 ideals in 7 passes
  174. Wed Nov 19 23:21:01 2025 max relations containing the same ideal: 135
  175. Wed Nov 19 23:22:09 2025 removing 7950605 relations and 5950605 ideals in 2000000 cliques
  176. Wed Nov 19 23:22:12 2025 commencing in-memory singleton removal
  177. Wed Nov 19 23:22:15 2025 begin with 197451655 relations and 185757048 unique ideals
  178. Wed Nov 19 23:22:34 2025 reduce to 197207441 relations and 179560048 ideals in 7 passes
  179. Wed Nov 19 23:22:34 2025 max relations containing the same ideal: 130
  180. Wed Nov 19 23:23:39 2025 removing 7969182 relations and 5969182 ideals in 2000000 cliques
  181. Wed Nov 19 23:23:42 2025 commencing in-memory singleton removal
  182. Wed Nov 19 23:23:45 2025 begin with 189238259 relations and 179560048 unique ideals
  183. Wed Nov 19 23:24:04 2025 reduce to 188982035 relations and 173332296 ideals in 7 passes
  184. Wed Nov 19 23:24:04 2025 max relations containing the same ideal: 126
  185. Wed Nov 19 23:25:08 2025 removing 7997973 relations and 5997973 ideals in 2000000 cliques
  186. Wed Nov 19 23:25:12 2025 commencing in-memory singleton removal
  187. Wed Nov 19 23:25:13 2025 begin with 180984062 relations and 173332296 unique ideals
  188. Wed Nov 19 23:25:29 2025 reduce to 180717986 relations and 167065688 ideals in 7 passes
  189. Wed Nov 19 23:25:29 2025 max relations containing the same ideal: 125
  190. Wed Nov 19 23:26:31 2025 removing 8026114 relations and 6026114 ideals in 2000000 cliques
  191. Wed Nov 19 23:26:35 2025 commencing in-memory singleton removal
  192. Wed Nov 19 23:26:37 2025 begin with 172691872 relations and 167065688 unique ideals
  193. Wed Nov 19 23:26:51 2025 reduce to 172409841 relations and 160754777 ideals in 7 passes
  194. Wed Nov 19 23:26:51 2025 max relations containing the same ideal: 121
  195. Wed Nov 19 23:27:49 2025 removing 8067697 relations and 6067697 ideals in 2000000 cliques
  196. Wed Nov 19 23:27:52 2025 commencing in-memory singleton removal
  197. Wed Nov 19 23:27:54 2025 begin with 164342144 relations and 160754777 unique ideals
  198. Wed Nov 19 23:28:10 2025 reduce to 164046644 relations and 154388529 ideals in 7 passes
  199. Wed Nov 19 23:28:10 2025 max relations containing the same ideal: 119
  200. Wed Nov 19 23:29:05 2025 removing 8120885 relations and 6120885 ideals in 2000000 cliques
  201. Wed Nov 19 23:29:08 2025 commencing in-memory singleton removal
  202. Wed Nov 19 23:29:11 2025 begin with 155925759 relations and 154388529 unique ideals
  203. Wed Nov 19 23:29:23 2025 reduce to 155611515 relations and 147950136 ideals in 7 passes
  204. Wed Nov 19 23:29:23 2025 max relations containing the same ideal: 113
  205. Wed Nov 19 23:30:17 2025 removing 8180733 relations and 6180733 ideals in 2000000 cliques
  206. Wed Nov 19 23:30:19 2025 commencing in-memory singleton removal
  207. Wed Nov 19 23:30:21 2025 begin with 147430782 relations and 147950136 unique ideals
  208. Wed Nov 19 23:30:35 2025 reduce to 147093515 relations and 141428428 ideals in 7 passes
  209. Wed Nov 19 23:30:35 2025 max relations containing the same ideal: 109
  210. Wed Nov 19 23:31:26 2025 removing 8250510 relations and 6250510 ideals in 2000000 cliques
  211. Wed Nov 19 23:31:29 2025 commencing in-memory singleton removal
  212. Wed Nov 19 23:31:31 2025 begin with 138843005 relations and 141428428 unique ideals
  213. Wed Nov 19 23:31:43 2025 reduce to 138478478 relations and 134809147 ideals in 7 passes
  214. Wed Nov 19 23:31:43 2025 max relations containing the same ideal: 105
  215. Wed Nov 19 23:32:31 2025 removing 5397377 relations and 4225917 ideals in 1171460 cliques
  216. Wed Nov 19 23:32:33 2025 commencing in-memory singleton removal
  217. Wed Nov 19 23:32:35 2025 begin with 133081101 relations and 134809147 unique ideals
  218. Wed Nov 19 23:32:47 2025 reduce to 132925711 relations and 130426698 ideals in 7 passes
  219. Wed Nov 19 23:32:47 2025 max relations containing the same ideal: 101
  220. Wed Nov 19 23:33:45 2025 relations with 0 large ideals: 7347
  221. Wed Nov 19 23:33:45 2025 relations with 1 large ideals: 32128
  222. Wed Nov 19 23:33:45 2025 relations with 2 large ideals: 488162
  223. Wed Nov 19 23:33:45 2025 relations with 3 large ideals: 3264845
  224. Wed Nov 19 23:33:45 2025 relations with 4 large ideals: 11899185
  225. Wed Nov 19 23:33:45 2025 relations with 5 large ideals: 26117409
  226. Wed Nov 19 23:33:45 2025 relations with 6 large ideals: 36046377
  227. Wed Nov 19 23:33:45 2025 relations with 7+ large ideals: 55070258
  228. Wed Nov 19 23:33:45 2025 commencing 2-way merge
  229. Wed Nov 19 23:34:57 2025 reduce to 84592994 relation sets and 82093981 unique ideals
  230. Wed Nov 19 23:34:57 2025 commencing full merge
  231. Wed Nov 19 23:56:09 2025 memory use: 9410.3 MB
  232. Wed Nov 19 23:56:19 2025 found 42581303 cycles, need 42240181
  233. Wed Nov 19 23:56:32 2025 weight of 42240181 cycles is about 3801764047 (90.00/cycle)
  234. Wed Nov 19 23:56:32 2025 distribution of cycle lengths:
  235. Wed Nov 19 23:56:32 2025 1 relations: 3814723
  236. Wed Nov 19 23:56:32 2025 2 relations: 4276912
  237. Wed Nov 19 23:56:33 2025 3 relations: 4538318
  238. Wed Nov 19 23:56:33 2025 4 relations: 4360304
  239. Wed Nov 19 23:56:33 2025 5 relations: 4186063
  240. Wed Nov 19 23:56:33 2025 6 relations: 3850048
  241. Wed Nov 19 23:56:33 2025 7 relations: 3481468
  242. Wed Nov 19 23:56:33 2025 8 relations: 3079048
  243. Wed Nov 19 23:56:33 2025 9 relations: 2623822
  244. Wed Nov 19 23:56:33 2025 10+ relations: 8029475
  245. Wed Nov 19 23:56:33 2025 heaviest cycle: 20 relations
  246. Wed Nov 19 23:56:45 2025 commencing cycle optimization
  247. Wed Nov 19 23:57:56 2025 start with 257593367 relations
  248. Thu Nov 20 00:04:24 2025 pruned 7314019 relations
  249. Thu Nov 20 00:04:27 2025 memory use: 8150.2 MB
  250. Thu Nov 20 00:04:28 2025 distribution of cycle lengths:
  251. Thu Nov 20 00:04:28 2025 1 relations: 3814723
  252. Thu Nov 20 00:04:28 2025 2 relations: 4378646
  253. Thu Nov 20 00:04:28 2025 3 relations: 4711928
  254. Thu Nov 20 00:04:28 2025 4 relations: 4491564
  255. Thu Nov 20 00:04:28 2025 5 relations: 4321543
  256. Thu Nov 20 00:04:28 2025 6 relations: 3943874
  257. Thu Nov 20 00:04:28 2025 7 relations: 3562236
  258. Thu Nov 20 00:04:28 2025 8 relations: 3113844
  259. Thu Nov 20 00:04:28 2025 9 relations: 2625413
  260. Thu Nov 20 00:04:28 2025 10+ relations: 7276410
  261. Thu Nov 20 00:04:28 2025 heaviest cycle: 20 relations
  262. Thu Nov 20 00:05:34 2025 RelProcTime: 11351
  263. Thu Nov 20 00:05:40 2025 elapsed time 03:09:17
  264. Thu Nov 20 00:05:41 2025
  265. Thu Nov 20 00:05:41 2025
  266. Thu Nov 20 00:05:41 2025 Msieve v. 1.54 (SVN Unversioned directory)
  267. Thu Nov 20 00:05:41 2025 random seeds: a6cb4be7 4dad53a1
  268. Thu Nov 20 00:05:41 2025 Using 8 OpenMP threads
  269. Thu Nov 20 00:05:41 2025 factoring 1452848330851205097904585085040436106411154882691267873125029250271117855878805943654146936940471067989034288416808883136159810949249242967838918383859611639069461760271925231084798197070104618831 (196 digits)
  270. Thu Nov 20 00:05:41 2025 searching for 15-digit factors
  271. Thu Nov 20 00:05:41 2025 commencing number field sieve (196-digit input)
  272. Thu Nov 20 00:05:41 2025 reversing signs of algebraic polynomial
  273. Thu Nov 20 00:05:41 2025 R0: -38419120751402308740584197920135352059
  274. Thu Nov 20 00:05:41 2025 R1: 3703108259367486627841
  275. Thu Nov 20 00:05:41 2025 A0: 11416985034059544423193412368767078822801806000
  276. Thu Nov 20 00:05:41 2025 A1: 1259681753167804573990394995873370200922
  277. Thu Nov 20 00:05:41 2025 A2: -932417089971233190081936603677
  278. Thu Nov 20 00:05:41 2025 A3: -1401613187958396577325783
  279. Thu Nov 20 00:05:41 2025 A4: 525292764552258
  280. Thu Nov 20 00:05:41 2025 A5: 34714680
  281. Thu Nov 20 00:05:41 2025 skew 1.00, size 4.306e-19, alpha -8.198, combined = 3.106e-17 rroots = 5
  282. Thu Nov 20 00:05:41 2025
  283. Thu Nov 20 00:05:41 2025 commencing linear algebra
  284. Thu Nov 20 00:05:41 2025 using VBITS=256
  285. Thu Nov 20 00:05:41 2025 stopping after matrix build
  286. Thu Nov 20 00:05:41 2025 reversing signs of algebraic polynomial
  287. Thu Nov 20 00:05:43 2025 read 42240181 cycles
  288. Thu Nov 20 00:06:34 2025 cycles contain 131534564 unique relations
  289. Thu Nov 20 00:14:01 2025 read 131534564 relations
  290. Thu Nov 20 00:14:45 2025 using 20 quadratic characters above 4294917295
  291. Thu Nov 20 00:15:35 2025 building initial matrix
  292. Thu Nov 20 00:36:38 2025 memory use: 19189.0 MB
  293. Thu Nov 20 00:36:52 2025 read 42240181 cycles
  294. Thu Nov 20 00:36:55 2025 matrix is 42240003 x 42240181 (15830.9 MB) with weight 4910617218 (116.25/col)
  295. Thu Nov 20 00:36:55 2025 sparse part has weight 3643080512 (86.25/col)
  296. Thu Nov 20 00:41:46 2025 filtering completed in 2 passes
  297. Thu Nov 20 00:41:55 2025 matrix is 42233197 x 42233374 (15830.3 MB) with weight 4910362700 (116.27/col)
  298. Thu Nov 20 00:41:55 2025 sparse part has weight 3643024605 (86.26/col)
  299. Thu Nov 20 00:43:39 2025 BLanczosTime: 2278
  300. Thu Nov 20 00:43:39 2025 elapsed time 00:37:58
  301. Thu Nov 20 05:10:58 2025
  302. Thu Nov 20 05:10:58 2025
  303. Thu Nov 20 05:10:58 2025 Msieve v. 1.54 (SVN Unversioned directory)
  304. Thu Nov 20 05:10:58 2025 random seeds: 2d7430b5 ab7140c2
  305. Thu Nov 20 05:10:58 2025 Using 8 OpenMP threads
  306. Thu Nov 20 05:10:58 2025 factoring 1452848330851205097904585085040436106411154882691267873125029250271117855878805943654146936940471067989034288416808883136159810949249242967838918383859611639069461760271925231084798197070104618831 (196 digits)
  307. Thu Nov 20 05:10:58 2025 searching for 15-digit factors
  308. Thu Nov 20 05:10:58 2025 commencing number field sieve (196-digit input)
  309. Thu Nov 20 05:10:58 2025 reversing signs of algebraic polynomial
  310. Thu Nov 20 05:10:58 2025 R0: -38419120751402308740584197920135352059
  311. Thu Nov 20 05:10:58 2025 R1: 3703108259367486627841
  312. Thu Nov 20 05:10:58 2025 A0: 11416985034059544423193412368767078822801806000
  313. Thu Nov 20 05:10:58 2025 A1: 1259681753167804573990394995873370200922
  314. Thu Nov 20 05:10:58 2025 A2: -932417089971233190081936603677
  315. Thu Nov 20 05:10:58 2025 A3: -1401613187958396577325783
  316. Thu Nov 20 05:10:58 2025 A4: 525292764552258
  317. Thu Nov 20 05:10:58 2025 A5: 34714680
  318. Thu Nov 20 05:10:58 2025 skew 1.00, size 4.306e-19, alpha -8.198, combined = 3.106e-17 rroots = 5
  319. Thu Nov 20 05:10:58 2025
  320. Thu Nov 20 05:10:58 2025 commencing relation filtering
  321. Thu Nov 20 05:10:58 2025 setting target matrix density to 110.0
  322. Thu Nov 20 05:10:58 2025 reversing signs of algebraic polynomial
  323. Thu Nov 20 05:10:58 2025 estimated available RAM is 78540.1 MB
  324. Thu Nov 20 05:10:58 2025 commencing duplicate removal, pass 1
  325. Thu Nov 20 05:20:53 2025 error -1 reading relation 242902080
  326. Thu Nov 20 05:23:26 2025 error -15 reading relation 304462118
  327. Thu Nov 20 05:28:31 2025 error -1 reading relation 419493001
  328. Thu Nov 20 05:29:53 2025 error -1 reading relation 451498567
  329. Thu Nov 20 05:32:22 2025 error -1 reading relation 515175411
  330. Thu Nov 20 05:32:27 2025 error -1 reading relation 517411128
  331. Thu Nov 20 05:32:28 2025 error -1 reading relation 517555361
  332. Thu Nov 20 05:32:35 2025 error -1 reading relation 520309331
  333. Thu Nov 20 05:33:18 2025 error -1 reading relation 539564032
  334. Thu Nov 20 05:34:43 2025 error -1 reading relation 576954881
  335. Thu Nov 20 05:34:49 2025 error -1 reading relation 579417108
  336. Thu Nov 20 05:36:19 2025 error -1 reading relation 618972006
  337. Thu Nov 20 05:36:20 2025 error -1 reading relation 619312408
  338. Thu Nov 20 05:37:21 2025 error -1 reading relation 647151219
  339. Thu Nov 20 05:37:23 2025 error -1 reading relation 647646731
  340. Thu Nov 20 05:38:12 2025 skipped 2 relations with composite factors
  341. Thu Nov 20 05:38:12 2025 skipped 1079 malformed relations
  342. Thu Nov 20 05:38:12 2025 found 24755591 hash collisions in 669043524 relations
  343. Thu Nov 20 05:38:26 2025 commencing duplicate removal, pass 2
  344. Thu Nov 20 05:43:20 2025 found 1 duplicates and 669043523 unique relations
  345. Thu Nov 20 05:43:20 2025 memory use: 2089.5 MB
  346. Thu Nov 20 05:43:20 2025 reading ideals above 568918016
  347. Thu Nov 20 05:43:20 2025 commencing singleton removal, initial pass
  348. Thu Nov 20 06:14:26 2025 memory use: 11024.0 MB
  349. Thu Nov 20 06:14:27 2025 reading all ideals from disk
  350. Thu Nov 20 06:14:42 2025 memory use: 16838.1 MB
  351. Thu Nov 20 06:15:03 2025 commencing in-memory singleton removal
  352. Thu Nov 20 06:15:07 2025 begin with 669043523 relations and 575869685 unique ideals
  353. Thu Nov 20 06:16:01 2025 reduce to 409974505 relations and 288966905 ideals in 16 passes
  354. Thu Nov 20 06:16:01 2025 max relations containing the same ideal: 39
  355. Thu Nov 20 06:16:08 2025 reading ideals above 720000
  356. Thu Nov 20 06:16:09 2025 commencing singleton removal, initial pass
  357. Thu Nov 20 06:47:59 2025 memory use: 11024.0 MB
  358. Thu Nov 20 06:47:59 2025 reading all ideals from disk
  359. Thu Nov 20 06:48:30 2025 memory use: 20962.5 MB
  360. Thu Nov 20 06:48:58 2025 keeping 346361203 ideals with weight <= 200, target excess is 2153337
  361. Thu Nov 20 06:49:37 2025 commencing in-memory singleton removal
  362. Thu Nov 20 06:49:44 2025 begin with 409974505 relations and 346361203 unique ideals
  363. Thu Nov 20 06:50:37 2025 reduce to 409776852 relations and 346163539 ideals in 10 passes
  364. Thu Nov 20 06:50:37 2025 max relations containing the same ideal: 200
  365. Thu Nov 20 06:52:50 2025 removing 16177648 relations and 14177648 ideals in 2000000 cliques
  366. Thu Nov 20 06:52:58 2025 commencing in-memory singleton removal
  367. Thu Nov 20 06:53:02 2025 begin with 393599204 relations and 346163539 unique ideals
  368. Thu Nov 20 06:53:44 2025 reduce to 393117908 relations and 331501175 ideals in 8 passes
  369. Thu Nov 20 06:53:44 2025 max relations containing the same ideal: 200
  370. Thu Nov 20 06:55:50 2025 removing 12117073 relations and 10117073 ideals in 2000000 cliques
  371. Thu Nov 20 06:55:57 2025 commencing in-memory singleton removal
  372. Thu Nov 20 06:56:01 2025 begin with 381000835 relations and 331501175 unique ideals
  373. Thu Nov 20 06:56:36 2025 reduce to 380701768 relations and 321083286 ideals in 7 passes
  374. Thu Nov 20 06:56:36 2025 max relations containing the same ideal: 198
  375. Thu Nov 20 06:58:38 2025 removing 10828740 relations and 8828740 ideals in 2000000 cliques
  376. Thu Nov 20 06:58:46 2025 commencing in-memory singleton removal
  377. Thu Nov 20 06:58:53 2025 begin with 369873028 relations and 321083286 unique ideals
  378. Thu Nov 20 06:59:30 2025 reduce to 369622473 relations and 312002571 ideals in 8 passes
  379. Thu Nov 20 06:59:30 2025 max relations containing the same ideal: 196
  380. Thu Nov 20 07:01:24 2025 removing 10096557 relations and 8096557 ideals in 2000000 cliques
  381. Thu Nov 20 07:01:31 2025 commencing in-memory singleton removal
  382. Thu Nov 20 07:01:35 2025 begin with 359525916 relations and 312002571 unique ideals
  383. Thu Nov 20 07:02:07 2025 reduce to 359299256 relations and 303678082 ideals in 7 passes
  384. Thu Nov 20 07:02:07 2025 max relations containing the same ideal: 193
  385. Thu Nov 20 07:03:58 2025 removing 9610264 relations and 7610264 ideals in 2000000 cliques
  386. Thu Nov 20 07:04:02 2025 commencing in-memory singleton removal
  387. Thu Nov 20 07:04:08 2025 begin with 349688992 relations and 303678082 unique ideals
  388. Thu Nov 20 07:04:39 2025 reduce to 349476921 relations and 295854635 ideals in 7 passes
  389. Thu Nov 20 07:04:39 2025 max relations containing the same ideal: 192
  390. Thu Nov 20 07:06:29 2025 removing 9256748 relations and 7256748 ideals in 2000000 cliques
  391. Thu Nov 20 07:06:33 2025 commencing in-memory singleton removal
  392. Thu Nov 20 07:06:38 2025 begin with 340220173 relations and 295854635 unique ideals
  393. Thu Nov 20 07:07:08 2025 reduce to 340018955 relations and 288395592 ideals in 7 passes
  394. Thu Nov 20 07:07:08 2025 max relations containing the same ideal: 190
  395. Thu Nov 20 07:08:55 2025 removing 8982383 relations and 6982383 ideals in 2000000 cliques
  396. Thu Nov 20 07:08:58 2025 commencing in-memory singleton removal
  397. Thu Nov 20 07:09:04 2025 begin with 331036572 relations and 288395592 unique ideals
  398. Thu Nov 20 07:09:33 2025 reduce to 330841430 relations and 281217030 ideals in 7 passes
  399. Thu Nov 20 07:09:33 2025 max relations containing the same ideal: 186
  400. Thu Nov 20 07:11:17 2025 removing 8766855 relations and 6766855 ideals in 2000000 cliques
  401. Thu Nov 20 07:11:22 2025 commencing in-memory singleton removal
  402. Thu Nov 20 07:11:28 2025 begin with 322074575 relations and 281217030 unique ideals
  403. Thu Nov 20 07:11:52 2025 reduce to 321882263 relations and 274256804 ideals in 6 passes
  404. Thu Nov 20 07:11:52 2025 max relations containing the same ideal: 181
  405. Thu Nov 20 07:13:32 2025 removing 8597050 relations and 6597050 ideals in 2000000 cliques
  406. Thu Nov 20 07:13:37 2025 commencing in-memory singleton removal
  407. Thu Nov 20 07:13:42 2025 begin with 313285213 relations and 274256804 unique ideals
  408. Thu Nov 20 07:14:09 2025 reduce to 313096446 relations and 267469924 ideals in 7 passes
  409. Thu Nov 20 07:14:09 2025 max relations containing the same ideal: 179
  410. Thu Nov 20 07:15:49 2025 removing 8454497 relations and 6454497 ideals in 2000000 cliques
  411. Thu Nov 20 07:15:54 2025 commencing in-memory singleton removal
  412. Thu Nov 20 07:15:57 2025 begin with 304641949 relations and 267469924 unique ideals
  413. Thu Nov 20 07:16:26 2025 reduce to 304453109 relations and 260825478 ideals in 7 passes
  414. Thu Nov 20 07:16:26 2025 max relations containing the same ideal: 175
  415. Thu Nov 20 07:17:58 2025 removing 8338141 relations and 6338141 ideals in 2000000 cliques
  416. Thu Nov 20 07:18:03 2025 commencing in-memory singleton removal
  417. Thu Nov 20 07:18:08 2025 begin with 296114968 relations and 260825478 unique ideals
  418. Thu Nov 20 07:18:38 2025 reduce to 295927262 relations and 254298483 ideals in 8 passes
  419. Thu Nov 20 07:18:38 2025 max relations containing the same ideal: 171
  420. Thu Nov 20 07:20:12 2025 removing 8245609 relations and 6245609 ideals in 2000000 cliques
  421. Thu Nov 20 07:20:17 2025 commencing in-memory singleton removal
  422. Thu Nov 20 07:20:22 2025 begin with 287681653 relations and 254298483 unique ideals
  423. Thu Nov 20 07:20:46 2025 reduce to 287492041 relations and 247862155 ideals in 7 passes
  424. Thu Nov 20 07:20:46 2025 max relations containing the same ideal: 168
  425. Thu Nov 20 07:22:19 2025 removing 8162953 relations and 6162953 ideals in 2000000 cliques
  426. Thu Nov 20 07:22:24 2025 commencing in-memory singleton removal
  427. Thu Nov 20 07:22:26 2025 begin with 279329088 relations and 247862155 unique ideals
  428. Thu Nov 20 07:22:49 2025 reduce to 279138585 relations and 241507505 ideals in 6 passes
  429. Thu Nov 20 07:22:49 2025 max relations containing the same ideal: 167
  430. Thu Nov 20 07:24:21 2025 removing 8102371 relations and 6102371 ideals in 2000000 cliques
  431. Thu Nov 20 07:24:23 2025 commencing in-memory singleton removal
  432. Thu Nov 20 07:24:27 2025 begin with 271036214 relations and 241507505 unique ideals
  433. Thu Nov 20 07:24:53 2025 reduce to 270843812 relations and 235211443 ideals in 7 passes
  434. Thu Nov 20 07:24:53 2025 max relations containing the same ideal: 163
  435. Thu Nov 20 07:26:20 2025 removing 8052441 relations and 6052441 ideals in 2000000 cliques
  436. Thu Nov 20 07:26:22 2025 commencing in-memory singleton removal
  437. Thu Nov 20 07:26:27 2025 begin with 262791371 relations and 235211443 unique ideals
  438. Thu Nov 20 07:26:48 2025 reduce to 262594094 relations and 228960358 ideals in 6 passes
  439. Thu Nov 20 07:26:48 2025 max relations containing the same ideal: 159
  440. Thu Nov 20 07:28:14 2025 removing 8011601 relations and 6011601 ideals in 2000000 cliques
  441. Thu Nov 20 07:28:19 2025 commencing in-memory singleton removal
  442. Thu Nov 20 07:28:21 2025 begin with 254582493 relations and 228960358 unique ideals
  443. Thu Nov 20 07:28:46 2025 reduce to 254382275 relations and 222747123 ideals in 7 passes
  444. Thu Nov 20 07:28:46 2025 max relations containing the same ideal: 157
  445. Thu Nov 20 07:30:13 2025 removing 7975017 relations and 5975017 ideals in 2000000 cliques
  446. Thu Nov 20 07:30:17 2025 commencing in-memory singleton removal
  447. Thu Nov 20 07:30:21 2025 begin with 246407258 relations and 222747123 unique ideals
  448. Thu Nov 20 07:30:40 2025 reduce to 246204673 relations and 216568100 ideals in 6 passes
  449. Thu Nov 20 07:30:40 2025 max relations containing the same ideal: 154
  450. Thu Nov 20 07:32:06 2025 removing 7955128 relations and 5955128 ideals in 2000000 cliques
  451. Thu Nov 20 07:32:10 2025 commencing in-memory singleton removal
  452. Thu Nov 20 07:32:14 2025 begin with 238249545 relations and 216568100 unique ideals
  453. Thu Nov 20 07:32:35 2025 reduce to 238040580 relations and 210402479 ideals in 7 passes
  454. Thu Nov 20 07:32:35 2025 max relations containing the same ideal: 149
  455. Thu Nov 20 07:33:55 2025 removing 7940064 relations and 5940064 ideals in 2000000 cliques
  456. Thu Nov 20 07:33:59 2025 commencing in-memory singleton removal
  457. Thu Nov 20 07:34:04 2025 begin with 230100516 relations and 210402479 unique ideals
  458. Thu Nov 20 07:34:23 2025 reduce to 229887497 relations and 204247774 ideals in 7 passes
  459. Thu Nov 20 07:34:23 2025 max relations containing the same ideal: 146
  460. Thu Nov 20 07:35:43 2025 removing 7934097 relations and 5934097 ideals in 2000000 cliques
  461. Thu Nov 20 07:35:47 2025 commencing in-memory singleton removal
  462. Thu Nov 20 07:35:49 2025 begin with 221953400 relations and 204247774 unique ideals
  463. Thu Nov 20 07:36:14 2025 reduce to 221734865 relations and 198093357 ideals in 7 passes
  464. Thu Nov 20 07:36:14 2025 max relations containing the same ideal: 143
  465. Thu Nov 20 07:37:37 2025 removing 7934178 relations and 5934178 ideals in 2000000 cliques
  466. Thu Nov 20 07:37:41 2025 commencing in-memory singleton removal
  467. Thu Nov 20 07:37:44 2025 begin with 213800687 relations and 198093357 unique ideals
  468. Thu Nov 20 07:38:01 2025 reduce to 213574280 relations and 191931036 ideals in 6 passes
  469. Thu Nov 20 07:38:01 2025 max relations containing the same ideal: 138
  470. Thu Nov 20 07:39:15 2025 removing 7936600 relations and 5936600 ideals in 2000000 cliques
  471. Thu Nov 20 07:39:19 2025 commencing in-memory singleton removal
  472. Thu Nov 20 07:39:21 2025 begin with 205637680 relations and 191931036 unique ideals
  473. Thu Nov 20 07:39:41 2025 reduce to 205402260 relations and 185757048 ideals in 7 passes
  474. Thu Nov 20 07:39:41 2025 max relations containing the same ideal: 135
  475. Thu Nov 20 07:40:53 2025 removing 7950605 relations and 5950605 ideals in 2000000 cliques
  476. Thu Nov 20 07:40:58 2025 commencing in-memory singleton removal
  477. Thu Nov 20 07:41:01 2025 begin with 197451655 relations and 185757048 unique ideals
  478. Thu Nov 20 07:41:20 2025 reduce to 197207441 relations and 179560048 ideals in 7 passes
  479. Thu Nov 20 07:41:20 2025 max relations containing the same ideal: 130
  480. Thu Nov 20 07:42:29 2025 removing 7969182 relations and 5969182 ideals in 2000000 cliques
  481. Thu Nov 20 07:42:33 2025 commencing in-memory singleton removal
  482. Thu Nov 20 07:42:36 2025 begin with 189238259 relations and 179560048 unique ideals
  483. Thu Nov 20 07:42:50 2025 reduce to 188982035 relations and 173332296 ideals in 6 passes
  484. Thu Nov 20 07:42:50 2025 max relations containing the same ideal: 126
  485. Thu Nov 20 07:43:59 2025 removing 7997973 relations and 5997973 ideals in 2000000 cliques
  486. Thu Nov 20 07:44:03 2025 commencing in-memory singleton removal
  487. Thu Nov 20 07:44:07 2025 begin with 180984062 relations and 173332296 unique ideals
  488. Thu Nov 20 07:44:22 2025 reduce to 180717986 relations and 167065688 ideals in 7 passes
  489. Thu Nov 20 07:44:22 2025 max relations containing the same ideal: 125
  490. Thu Nov 20 07:45:25 2025 removing 8026114 relations and 6026114 ideals in 2000000 cliques
  491. Thu Nov 20 07:45:29 2025 commencing in-memory singleton removal
  492. Thu Nov 20 07:45:32 2025 begin with 172691872 relations and 167065688 unique ideals
  493. Thu Nov 20 07:45:48 2025 reduce to 172409841 relations and 160754777 ideals in 7 passes
  494. Thu Nov 20 07:45:48 2025 max relations containing the same ideal: 121
  495. Thu Nov 20 07:46:54 2025 removing 8067697 relations and 6067697 ideals in 2000000 cliques
  496. Thu Nov 20 07:46:58 2025 commencing in-memory singleton removal
  497. Thu Nov 20 07:47:01 2025 begin with 164342144 relations and 160754777 unique ideals
  498. Thu Nov 20 07:47:16 2025 reduce to 164046644 relations and 154388529 ideals in 7 passes
  499. Thu Nov 20 07:47:16 2025 max relations containing the same ideal: 119
  500. Thu Nov 20 07:48:19 2025 removing 8120885 relations and 6120885 ideals in 2000000 cliques
  501. Thu Nov 20 07:48:23 2025 commencing in-memory singleton removal
  502. Thu Nov 20 07:48:25 2025 begin with 155925759 relations and 154388529 unique ideals
  503. Thu Nov 20 07:48:41 2025 reduce to 155611515 relations and 147950136 ideals in 7 passes
  504. Thu Nov 20 07:48:41 2025 max relations containing the same ideal: 113
  505. Thu Nov 20 07:49:39 2025 removing 8180733 relations and 6180733 ideals in 2000000 cliques
  506. Thu Nov 20 07:49:43 2025 commencing in-memory singleton removal
  507. Thu Nov 20 07:49:45 2025 begin with 147430782 relations and 147950136 unique ideals
  508. Thu Nov 20 07:49:57 2025 reduce to 147093515 relations and 141428428 ideals in 7 passes
  509. Thu Nov 20 07:49:57 2025 max relations containing the same ideal: 109
  510. Thu Nov 20 07:50:49 2025 removing 8250510 relations and 6250510 ideals in 2000000 cliques
  511. Thu Nov 20 07:50:52 2025 commencing in-memory singleton removal
  512. Thu Nov 20 07:50:54 2025 begin with 138843005 relations and 141428428 unique ideals
  513. Thu Nov 20 07:51:11 2025 reduce to 138478478 relations and 134809147 ideals in 9 passes
  514. Thu Nov 20 07:51:11 2025 max relations containing the same ideal: 105
  515. Thu Nov 20 07:52:00 2025 removing 5397377 relations and 4225917 ideals in 1171460 cliques
  516. Thu Nov 20 07:52:02 2025 commencing in-memory singleton removal
  517. Thu Nov 20 07:52:04 2025 begin with 133081101 relations and 134809147 unique ideals
  518. Thu Nov 20 07:52:14 2025 reduce to 132925711 relations and 130426698 ideals in 7 passes
  519. Thu Nov 20 07:52:14 2025 max relations containing the same ideal: 101
  520. Thu Nov 20 07:53:13 2025 relations with 0 large ideals: 7347
  521. Thu Nov 20 07:53:13 2025 relations with 1 large ideals: 32128
  522. Thu Nov 20 07:53:13 2025 relations with 2 large ideals: 488162
  523. Thu Nov 20 07:53:13 2025 relations with 3 large ideals: 3264845
  524. Thu Nov 20 07:53:13 2025 relations with 4 large ideals: 11899185
  525. Thu Nov 20 07:53:13 2025 relations with 5 large ideals: 26117409
  526. Thu Nov 20 07:53:13 2025 relations with 6 large ideals: 36046377
  527. Thu Nov 20 07:53:13 2025 relations with 7+ large ideals: 55070258
  528. Thu Nov 20 07:53:13 2025 commencing 2-way merge
  529. Thu Nov 20 07:54:29 2025 reduce to 84592994 relation sets and 82093981 unique ideals
  530. Thu Nov 20 07:54:29 2025 commencing full merge
  531. Thu Nov 20 08:20:49 2025 memory use: 9650.3 MB
  532. Thu Nov 20 08:20:59 2025 found 39675347 cycles, need 39372181
  533. Thu Nov 20 08:21:11 2025 weight of 39372181 cycles is about 4331160191 (110.01/cycle)
  534. Thu Nov 20 08:21:11 2025 distribution of cycle lengths:
  535. Thu Nov 20 08:21:11 2025 1 relations: 2565100
  536. Thu Nov 20 08:21:11 2025 2 relations: 3122917
  537. Thu Nov 20 08:21:11 2025 3 relations: 3425089
  538. Thu Nov 20 08:21:11 2025 4 relations: 3400962
  539. Thu Nov 20 08:21:11 2025 5 relations: 3371952
  540. Thu Nov 20 08:21:11 2025 6 relations: 3179268
  541. Thu Nov 20 08:21:11 2025 7 relations: 3057085
  542. Thu Nov 20 08:21:11 2025 8 relations: 2825177
  543. Thu Nov 20 08:21:11 2025 9 relations: 2560805
  544. Thu Nov 20 08:21:11 2025 10+ relations: 11863826
  545. Thu Nov 20 08:21:11 2025 heaviest cycle: 25 relations
  546. Thu Nov 20 08:21:27 2025 commencing cycle optimization
  547. Thu Nov 20 08:22:52 2025 start with 292650758 relations
  548. Thu Nov 20 08:32:50 2025 pruned 10407543 relations
  549. Thu Nov 20 08:32:55 2025 memory use: 8514.4 MB
  550. Thu Nov 20 08:32:56 2025 distribution of cycle lengths:
  551. Thu Nov 20 08:32:56 2025 1 relations: 2565100
  552. Thu Nov 20 08:32:56 2025 2 relations: 3202963
  553. Thu Nov 20 08:32:56 2025 3 relations: 3566775
  554. Thu Nov 20 08:32:56 2025 4 relations: 3523911
  555. Thu Nov 20 08:32:56 2025 5 relations: 3505920
  556. Thu Nov 20 08:32:56 2025 6 relations: 3294638
  557. Thu Nov 20 08:32:56 2025 7 relations: 3165043
  558. Thu Nov 20 08:32:56 2025 8 relations: 2906342
  559. Thu Nov 20 08:32:56 2025 9 relations: 2623468
  560. Thu Nov 20 08:32:56 2025 10+ relations: 11018021
  561. Thu Nov 20 08:32:56 2025 heaviest cycle: 25 relations
  562. Thu Nov 20 08:34:10 2025 RelProcTime: 12192
  563. Thu Nov 20 08:34:10 2025 elapsed time 03:23:12
  564. Thu Nov 20 08:34:11 2025
  565. Thu Nov 20 08:34:11 2025
  566. Thu Nov 20 08:34:11 2025 Msieve v. 1.54 (SVN Unversioned directory)
  567. Thu Nov 20 08:34:11 2025 random seeds: d2badf80 95e4b9cc
  568. Thu Nov 20 08:34:11 2025 Using 8 OpenMP threads
  569. Thu Nov 20 08:34:11 2025 factoring 1452848330851205097904585085040436106411154882691267873125029250271117855878805943654146936940471067989034288416808883136159810949249242967838918383859611639069461760271925231084798197070104618831 (196 digits)
  570. Thu Nov 20 08:34:11 2025 searching for 15-digit factors
  571. Thu Nov 20 08:34:11 2025 commencing number field sieve (196-digit input)
  572. Thu Nov 20 08:34:11 2025 reversing signs of algebraic polynomial
  573. Thu Nov 20 08:34:11 2025 R0: -38419120751402308740584197920135352059
  574. Thu Nov 20 08:34:11 2025 R1: 3703108259367486627841
  575. Thu Nov 20 08:34:11 2025 A0: 11416985034059544423193412368767078822801806000
  576. Thu Nov 20 08:34:11 2025 A1: 1259681753167804573990394995873370200922
  577. Thu Nov 20 08:34:11 2025 A2: -932417089971233190081936603677
  578. Thu Nov 20 08:34:11 2025 A3: -1401613187958396577325783
  579. Thu Nov 20 08:34:11 2025 A4: 525292764552258
  580. Thu Nov 20 08:34:11 2025 A5: 34714680
  581. Thu Nov 20 08:34:11 2025 skew 1.00, size 4.306e-19, alpha -8.198, combined = 3.106e-17 rroots = 5
  582. Thu Nov 20 08:34:11 2025
  583. Thu Nov 20 08:34:11 2025 commencing linear algebra
  584. Thu Nov 20 08:34:11 2025 using VBITS=256
  585. Thu Nov 20 08:34:11 2025 stopping after matrix build
  586. Thu Nov 20 08:34:11 2025 reversing signs of algebraic polynomial
  587. Thu Nov 20 08:34:14 2025 read 39372181 cycles
  588. Thu Nov 20 08:35:12 2025 cycles contain 131561927 unique relations
  589. Thu Nov 20 08:58:28 2025 read 131561927 relations
  590. Thu Nov 20 08:59:28 2025 using 20 quadratic characters above 4294917295
  591. Thu Nov 20 09:00:26 2025 building initial matrix
  592. Thu Nov 20 09:25:18 2025 memory use: 18601.7 MB
  593. Thu Nov 20 09:25:35 2025 read 39372181 cycles
  594. Thu Nov 20 09:25:40 2025 matrix is 39372003 x 39372181 (17413.6 MB) with weight 5349702419 (135.88/col)
  595. Thu Nov 20 09:25:40 2025 sparse part has weight 4092416368 (103.94/col)
  596. Thu Nov 20 09:31:08 2025 filtering completed in 2 passes
  597. Thu Nov 20 09:31:19 2025 matrix is 39368809 x 39368986 (17413.4 MB) with weight 5349564455 (135.88/col)
  598. Thu Nov 20 09:31:19 2025 sparse part has weight 4092381657 (103.95/col)
  599. Thu Nov 20 09:33:32 2025 BLanczosTime: 3561
  600. Thu Nov 20 09:33:32 2025 elapsed time 00:59:21
  601. Thu Nov 20 17:53:03 2025
  602. Thu Nov 20 17:53:03 2025
  603. Thu Nov 20 17:53:03 2025 Msieve v. 1.54 (SVN unknown)
  604. Thu Nov 20 17:53:03 2025 random seeds: 7adb313f 3a9e1d38
  605. Thu Nov 20 17:53:03 2025 Using 16 OpenMP threads
  606. Thu Nov 20 17:53:03 2025 factoring 1452848330851205097904585085040436106411154882691267873125029250271117855878805943654146936940471067989034288416808883136159810949249242967838918383859611639069461760271925231084798197070104618831 (196 digits)
  607. Thu Nov 20 17:53:04 2025 no P-1/P+1/ECM available, skipping
  608. Thu Nov 20 17:53:04 2025 commencing number field sieve (196-digit input)
  609. Thu Nov 20 17:53:04 2025 reversing signs of algebraic polynomial
  610. Thu Nov 20 17:53:04 2025 R0: -38419120751402308740584197920135352059
  611. Thu Nov 20 17:53:04 2025 R1: 3703108259367486627841
  612. Thu Nov 20 17:53:04 2025 A0: 11416985034059544423193412368767078822801806000
  613. Thu Nov 20 17:53:04 2025 A1: 1259681753167804573990394995873370200922
  614. Thu Nov 20 17:53:04 2025 A2: -932417089971233190081936603677
  615. Thu Nov 20 17:53:04 2025 A3: -1401613187958396577325783
  616. Thu Nov 20 17:53:04 2025 A4: 525292764552258
  617. Thu Nov 20 17:53:04 2025 A5: 34714680
  618. Thu Nov 20 17:53:04 2025 skew 1.00, size 4.306e-19, alpha -8.198, combined = 3.106e-17 rroots = 5
  619. Thu Nov 20 17:53:04 2025
  620. Thu Nov 20 17:53:04 2025 commencing linear algebra
  621. Thu Nov 20 17:53:04 2025 using VBITS=256
  622. Thu Nov 20 17:53:04 2025 skipping matrix build
  623. Thu Nov 20 17:53:13 2025 matrix starts at (0, 0)
  624. Thu Nov 20 17:53:19 2025 matrix is 42233197 x 42233374 (15830.3 MB) with weight 4910362700 (116.27/col)
  625. Thu Nov 20 17:53:19 2025 sparse part has weight 3643024605 (86.26/col)
  626. Thu Nov 20 17:53:19 2025 saving the first 240 matrix rows for later
  627. Thu Nov 20 17:53:40 2025 matrix includes 256 packed rows
  628. Thu Nov 20 17:53:54 2025 matrix is 42232957 x 42233374 (14631.1 MB) with weight 3350641491 (79.34/col)
  629. Thu Nov 20 17:53:54 2025 sparse part has weight 3159727385 (74.82/col)
  630. Thu Nov 20 17:53:54 2025 using GPU 0 (NVIDIA GeForce RTX 5090)
  631. Thu Nov 20 17:53:54 2025 selected card has CUDA arch 12.0
  632. Thu Nov 20 18:00:02 2025 commencing Lanczos iteration
  633. Thu Nov 20 18:01:18 2025
  634. Thu Nov 20 18:01:18 2025
  635. Thu Nov 20 18:01:18 2025 Msieve v. 1.54 (SVN unknown)
  636. Thu Nov 20 18:01:18 2025 random seeds: fd778449 a90a873f
  637. Thu Nov 20 18:01:18 2025 Using 16 OpenMP threads
  638. Thu Nov 20 18:01:18 2025 factoring 1452848330851205097904585085040436106411154882691267873125029250271117855878805943654146936940471067989034288416808883136159810949249242967838918383859611639069461760271925231084798197070104618831 (196 digits)
  639. Thu Nov 20 18:01:18 2025 no P-1/P+1/ECM available, skipping
  640. Thu Nov 20 18:01:18 2025 commencing number field sieve (196-digit input)
  641. Thu Nov 20 18:01:18 2025 reversing signs of algebraic polynomial
  642. Thu Nov 20 18:01:18 2025 R0: -38419120751402308740584197920135352059
  643. Thu Nov 20 18:01:18 2025 R1: 3703108259367486627841
  644. Thu Nov 20 18:01:18 2025 A0: 11416985034059544423193412368767078822801806000
  645. Thu Nov 20 18:01:18 2025 A1: 1259681753167804573990394995873370200922
  646. Thu Nov 20 18:01:18 2025 A2: -932417089971233190081936603677
  647. Thu Nov 20 18:01:18 2025 A3: -1401613187958396577325783
  648. Thu Nov 20 18:01:18 2025 A4: 525292764552258
  649. Thu Nov 20 18:01:18 2025 A5: 34714680
  650. Thu Nov 20 18:01:18 2025 skew 1.00, size 4.306e-19, alpha -8.198, combined = 3.106e-17 rroots = 5
  651. Thu Nov 20 18:01:18 2025
  652. Thu Nov 20 18:01:18 2025 commencing linear algebra
  653. Thu Nov 20 18:01:18 2025 using VBITS=128
  654. Thu Nov 20 18:01:18 2025 skipping matrix build
  655. Thu Nov 20 18:01:28 2025 matrix starts at (0, 0)
  656. Thu Nov 20 18:01:36 2025 matrix is 42233197 x 42233374 (15830.3 MB) with weight 4910362700 (116.27/col)
  657. Thu Nov 20 18:01:36 2025 sparse part has weight 3643024605 (86.26/col)
  658. Thu Nov 20 18:01:36 2025 saving the first 112 matrix rows for later
  659. Thu Nov 20 18:01:43 2025 matrix includes 128 packed rows
  660. Thu Nov 20 18:01:52 2025 matrix is 42233085 x 42233374 (14715.0 MB) with weight 3615779929 (85.61/col)
  661. Thu Nov 20 18:01:52 2025 sparse part has weight 3350641491 (79.34/col)
  662. Thu Nov 20 18:01:52 2025 using GPU 0 (NVIDIA GeForce RTX 5090)
  663. Thu Nov 20 18:01:52 2025 selected card has CUDA arch 12.0
  664. Thu Nov 20 18:07:59 2025 commencing Lanczos iteration
  665. Thu Nov 20 18:08:01 2025 memory use: 31524.3 MB
  666. Thu Nov 20 18:09:12 2025 linear algebra at 0.1%, ETA 26h52m
  667. Thu Nov 20 18:09:31 2025 checking every 20000 dimensions, checkpointing every 1560000 dimensions
  668. Fri Nov 21 20:58:22 2025 lanczos halted after 331933 iterations (dim = 42233085)
  669. Fri Nov 21 20:59:43 2025 recovered 31 nontrivial dependencies
  670. Fri Nov 21 20:59:44 2025 BLanczosTime: 97106
  671. Fri Nov 21 20:59:44 2025 elapsed time 26:58:26
  672. Fri Nov 21 16:08:46 2025
  673. Fri Nov 21 16:08:46 2025
  674. Fri Nov 21 16:08:46 2025 Msieve v. 1.54 (SVN Unversioned directory)
  675. Fri Nov 21 16:08:46 2025 random seeds: 395e423f 99e6dd72
  676. Fri Nov 21 16:08:46 2025 Using 8 OpenMP threads
  677. Fri Nov 21 16:08:46 2025 factoring 1452848330851205097904585085040436106411154882691267873125029250271117855878805943654146936940471067989034288416808883136159810949249242967838918383859611639069461760271925231084798197070104618831 (196 digits)
  678. Fri Nov 21 16:08:46 2025 searching for 15-digit factors
  679. Fri Nov 21 16:08:47 2025 commencing number field sieve (196-digit input)
  680. Fri Nov 21 16:08:47 2025 reversing signs of algebraic polynomial
  681. Fri Nov 21 16:08:47 2025 R0: -38419120751402308740584197920135352059
  682. Fri Nov 21 16:08:47 2025 R1: 3703108259367486627841
  683. Fri Nov 21 16:08:47 2025 A0: 11416985034059544423193412368767078822801806000
  684. Fri Nov 21 16:08:47 2025 A1: 1259681753167804573990394995873370200922
  685. Fri Nov 21 16:08:47 2025 A2: -932417089971233190081936603677
  686. Fri Nov 21 16:08:47 2025 A3: -1401613187958396577325783
  687. Fri Nov 21 16:08:47 2025 A4: 525292764552258
  688. Fri Nov 21 16:08:47 2025 A5: 34714680
  689. Fri Nov 21 16:08:47 2025 skew 1.00, size 4.306e-19, alpha -8.198, combined = 3.106e-17 rroots = 5
  690. Fri Nov 21 16:08:47 2025
  691. Fri Nov 21 16:08:47 2025 commencing square root phase
  692. Fri Nov 21 16:08:47 2025 reversing signs of algebraic polynomial
  693. Fri Nov 21 16:08:47 2025 reading relations for dependency 1
  694. Fri Nov 21 16:08:49 2025 read 21113869 cycles
  695. Fri Nov 21 16:09:16 2025 cycles contain 65758032 unique relations
  696. Fri Nov 21 16:15:21 2025 read 65758032 relations
  697. Fri Nov 21 16:19:27 2025 multiplying 65758032 relations
  698. Fri Nov 21 16:28:22 2025 multiply complete, coefficients have about 4316.49 million bits
  699. Fri Nov 21 16:28:31 2025 initial square root is modulo 69383
  700. Fri Nov 21 16:47:45 2025 GCD is N, no factor found
  701. Fri Nov 21 16:47:45 2025 reading relations for dependency 2
  702. Fri Nov 21 16:47:49 2025 read 21113261 cycles
  703. Fri Nov 21 16:48:14 2025 cycles contain 65758984 unique relations
  704. Fri Nov 21 16:54:51 2025 read 65758984 relations
  705. Fri Nov 21 16:58:33 2025 multiplying 65758984 relations
  706. Fri Nov 21 17:08:06 2025 multiply complete, coefficients have about 4316.56 million bits
  707. Fri Nov 21 17:08:14 2025 initial square root is modulo 69383
  708. Fri Nov 21 17:27:22 2025 sqrtTime: 4715
  709. Fri Nov 21 17:27:22 2025 p62 factor: 40402317516052623793645720613100378711557111670702136065153157
  710. Fri Nov 21 17:27:22 2025 p134 factor: 35959529556044905051422164230153883603638982909330593525726185821913619000821602504116811720902825552812193692802265375469417743692483
  711. Fri Nov 21 17:27:22 2025 elapsed time 01:18:36
  712.  
Tags: math
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